%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP360-1 : 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.LAsjTm0dhi true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:18 PM UTC 2025
% Result : Unsatisfiable 1.13s 0.92s
% Output : Refutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP360-1 : TPTP v9.2.0. Released v2.5.0.
% 0.03/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LAsjTm0dhi true
% 0.10/0.30 % Computer : n029.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 14:08:08 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.15/0.55 % Total configuration time : 435
% 0.15/0.55 % Estimated wc time : 1092
% 0.15/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.64/0.62 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.64/0.62 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.95/0.64 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.64 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.65 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.13/0.92 % Solved by fo/fo7.sh.
% 1.13/0.92 % done 626 iterations in 0.247s
% 1.13/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.13/0.92 % SZS output start Refutation
% 1.13/0.92 thf(sk_c1_type, type, sk_c1: $i).
% 1.13/0.92 thf(sk_c7_type, type, sk_c7: $i).
% 1.13/0.92 thf(sk_c2_type, type, sk_c2: $i).
% 1.13/0.92 thf(sk_c4_type, type, sk_c4: $i).
% 1.13/0.92 thf(identity_type, type, identity: $i).
% 1.13/0.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.13/0.92 thf(sk_c5_type, type, sk_c5: $i).
% 1.13/0.92 thf(inverse_type, type, inverse: $i > $i).
% 1.13/0.92 thf(sk_c3_type, type, sk_c3: $i).
% 1.13/0.92 thf(sk_c6_type, type, sk_c6: $i).
% 1.13/0.92 thf(prove_this_26, conjecture,
% 1.13/0.92 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.13/0.92 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.13/0.92 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.13/0.92 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) ))).
% 1.13/0.92 thf(zf_stmt_0, negated_conjecture,
% 1.13/0.92 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.13/0.92 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.13/0.92 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 1.13/0.92 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.13/0.92 thf(zip_derived_cl28, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 1.13/0.92 | ((inverse @ X0) != (sk_c6))
% 1.13/0.92 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.13/0.92 | ((inverse @ X1) != (sk_c7))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (sk_c7))
% 1.13/0.92 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.13/0.92 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c7) != (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.13/0.92 thf(zip_derived_cl29, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 1.13/0.92 | ((inverse @ X0) != (sk_c6))
% 1.13/0.92 | ((multiply @ X1 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 1.13/0.92 | ((inverse @ X1) != (multiply @ sk_c6 @ sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c5))
% 1.13/0.92 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c5)) != (X3))
% 1.13/0.92 | ((multiply @ (multiply @ sk_c6 @ sk_c5) @ X3) != (sk_c6))
% 1.13/0.92 | ((inverse @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 1.13/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl28])).
% 1.13/0.92 thf(associativity, axiom,
% 1.13/0.92 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.13/0.92 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.13/0.92 thf(zip_derived_cl2, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.13/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.13/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.13/0.92 thf(zip_derived_cl40, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 1.13/0.92 | ((inverse @ X0) != (sk_c6))
% 1.13/0.92 | ((multiply @ X1 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 1.13/0.92 | ((inverse @ X1) != (multiply @ sk_c6 @ sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c5))
% 1.13/0.92 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c5)) != (X3))
% 1.13/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c5 @ X3)) != (sk_c6))
% 1.13/0.92 | ((inverse @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl2])).
% 1.13/0.92 thf(prove_this_21, conjecture,
% 1.13/0.92 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.13/0.92 thf(zf_stmt_1, negated_conjecture,
% 1.13/0.92 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.13/0.92 thf(zip_derived_cl23, plain,
% 1.13/0.92 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.13/0.92 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl2, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.13/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.13/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.13/0.92 thf(zip_derived_cl44, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((multiply @ identity @ X0)
% 1.13/0.92 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.13/0.92 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.13/0.92 thf(zip_derived_cl0, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl74, plain,
% 1.13/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl71, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl373, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.13/0.92 thf(zip_derived_cl74, plain,
% 1.13/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl404, plain,
% 1.13/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl74])).
% 1.13/0.92 thf(zip_derived_cl420, plain,
% 1.13/0.92 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl404])).
% 1.13/0.92 thf(prove_this_16, conjecture,
% 1.13/0.92 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 1.13/0.92 thf(zf_stmt_2, negated_conjecture,
% 1.13/0.92 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.13/0.92 thf(zip_derived_cl18, plain,
% 1.13/0.92 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.13/0.92 thf(zip_derived_cl590, plain,
% 1.13/0.92 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c2))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl420, zip_derived_cl18])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl602, plain,
% 1.13/0.92 ((((identity) = (sk_c2))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl590, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl603, plain,
% 1.13/0.92 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c2)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl602])).
% 1.13/0.92 thf(prove_this_11, conjecture,
% 1.13/0.92 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.13/0.92 thf(zf_stmt_3, negated_conjecture,
% 1.13/0.92 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.13/0.92 thf(zip_derived_cl13, plain,
% 1.13/0.92 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.13/0.92 thf(zip_derived_cl667, plain,
% 1.13/0.92 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl603, zip_derived_cl13])).
% 1.13/0.92 thf(zip_derived_cl677, plain,
% 1.13/0.92 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl667])).
% 1.13/0.92 thf(zip_derived_cl373, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.13/0.92 thf(zip_derived_cl2361, plain,
% 1.13/0.92 ((((sk_c6) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl677, zip_derived_cl373])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl2382, plain,
% 1.13/0.92 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c5))
% 1.13/0.92 | ((sk_c6) = (sk_c7)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl2361, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl2454, plain,
% 1.13/0.92 ((((multiply @ (inverse @ sk_c6) @ sk_c5) != (sk_c6))
% 1.13/0.92 | ((sk_c6) = (sk_c7)))),
% 1.13/0.92 inference('eq_fact', [status(thm)], [zip_derived_cl2382])).
% 1.13/0.92 thf(prove_this_24, conjecture,
% 1.13/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.13/0.92 thf(zf_stmt_4, negated_conjecture,
% 1.13/0.92 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.13/0.92 thf(zip_derived_cl26, plain,
% 1.13/0.92 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl35, plain,
% 1.13/0.92 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.13/0.92 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl85, plain,
% 1.13/0.92 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.13/0.92 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl62])).
% 1.13/0.92 thf(prove_this_19, conjecture,
% 1.13/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 1.13/0.92 thf(zf_stmt_5, negated_conjecture,
% 1.13/0.92 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.13/0.92 thf(zip_derived_cl21, plain,
% 1.13/0.92 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.13/0.92 thf(zip_derived_cl178, plain,
% 1.13/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.13/0.92 = (sk_c2))
% 1.13/0.92 | ((inverse @ sk_c4) = (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl21])).
% 1.13/0.92 thf(zip_derived_cl2, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.13/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.13/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.13/0.92 thf(zip_derived_cl0, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl190, plain,
% 1.13/0.92 ((((identity) = (sk_c2))
% 1.13/0.92 | ((inverse @ sk_c4) = (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl178, zip_derived_cl2, zip_derived_cl0,
% 1.13/0.92 zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl191, plain,
% 1.13/0.92 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c2)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 1.13/0.92 thf(prove_this_14, conjecture,
% 1.13/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.13/0.92 thf(zf_stmt_6, negated_conjecture,
% 1.13/0.92 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.13/0.92 thf(zip_derived_cl16, plain,
% 1.13/0.92 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.13/0.92 thf(zip_derived_cl198, plain,
% 1.13/0.92 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c4) = (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl191, zip_derived_cl16])).
% 1.13/0.92 thf(zip_derived_cl200, plain,
% 1.13/0.92 ((((inverse @ sk_c4) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl198])).
% 1.13/0.92 thf(zip_derived_cl373, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.13/0.92 thf(zip_derived_cl396, plain,
% 1.13/0.92 ((((inverse @ sk_c4) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl373])).
% 1.13/0.92 thf(zip_derived_cl404, plain,
% 1.13/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl74])).
% 1.13/0.92 thf(zip_derived_cl448, plain,
% 1.13/0.92 ((((sk_c4) = (inverse @ sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl396, zip_derived_cl404])).
% 1.13/0.92 thf(prove_this_25, conjecture,
% 1.13/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.13/0.92 thf(zf_stmt_7, negated_conjecture,
% 1.13/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.13/0.92 thf(zip_derived_cl27, plain,
% 1.13/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.13/0.92 thf(zip_derived_cl74, plain,
% 1.13/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl269, plain,
% 1.13/0.92 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.13/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl74])).
% 1.13/0.92 thf(prove_this_20, conjecture,
% 1.13/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 1.13/0.92 thf(zf_stmt_8, negated_conjecture,
% 1.13/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.13/0.92 thf(zip_derived_cl22, plain,
% 1.13/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.13/0.92 thf(zip_derived_cl291, plain,
% 1.13/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.13/0.92 = (sk_c2))
% 1.13/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl269, zip_derived_cl22])).
% 1.13/0.92 thf(zip_derived_cl2, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.13/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.13/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.13/0.92 thf(zip_derived_cl0, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl303, plain,
% 1.13/0.92 ((((identity) = (sk_c2))
% 1.13/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl291, zip_derived_cl2, zip_derived_cl0,
% 1.13/0.92 zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl304, plain,
% 1.13/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c2)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl303])).
% 1.13/0.92 thf(prove_this_15, conjecture,
% 1.13/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.13/0.92 thf(zf_stmt_9, negated_conjecture,
% 1.13/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.13/0.92 thf(zip_derived_cl17, plain,
% 1.13/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.13/0.92 thf(zip_derived_cl310, plain,
% 1.13/0.92 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl304, zip_derived_cl17])).
% 1.13/0.92 thf(zip_derived_cl313, plain,
% 1.13/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl310])).
% 1.13/0.92 thf(zip_derived_cl373, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.13/0.92 thf(zip_derived_cl1411, plain,
% 1.13/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl313, zip_derived_cl373])).
% 1.13/0.92 thf(zip_derived_cl1416, plain,
% 1.13/0.92 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((sk_c7) = (sk_c6))
% 1.13/0.92 | ((sk_c7) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl448, zip_derived_cl1411])).
% 1.13/0.92 thf(zip_derived_cl1418, plain,
% 1.13/0.92 ((((sk_c7) = (sk_c6))
% 1.13/0.92 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl1416])).
% 1.13/0.92 thf(zip_derived_cl2469, plain, (((sk_c6) = (sk_c7))),
% 1.13/0.92 inference('clc', [status(thm)], [zip_derived_cl2454, zip_derived_cl1418])).
% 1.13/0.92 thf(zip_derived_cl2505, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 1.13/0.92 | ((inverse @ X0) != (sk_c6))
% 1.13/0.92 | ((multiply @ X1 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 1.13/0.92 | ((inverse @ X1) != (multiply @ sk_c6 @ sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c5))
% 1.13/0.92 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c5)) != (X3))
% 1.13/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c5 @ X3)) != (sk_c6))
% 1.13/0.92 | ((inverse @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) != (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl2469])).
% 1.13/0.92 thf(zip_derived_cl2506, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 1.13/0.92 | ((inverse @ X0) != (sk_c6))
% 1.13/0.92 | ((multiply @ X1 @ sk_c6) != (sk_c6))
% 1.13/0.92 | ((inverse @ X1) != (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c6) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (sk_c6))
% 1.13/0.92 | ((multiply @ X2 @ sk_c6) != (X3))
% 1.13/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c5 @ X3)) != (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c6) != (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) != (sk_c6)))),
% 1.13/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl2505])).
% 1.13/0.92 thf(zip_derived_cl2507, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((multiply @ X0 @ (inverse @ sk_c6)) != (sk_c6))
% 1.13/0.92 | ((inverse @ X0) != (sk_c6))
% 1.13/0.92 | ((multiply @ X1 @ sk_c6) != (sk_c6))
% 1.13/0.92 | ((inverse @ X1) != (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c6) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (sk_c6))
% 1.13/0.92 | ((multiply @ X2 @ sk_c6) != (X3))
% 1.13/0.92 | ((multiply @ sk_c6 @ (multiply @ (inverse @ sk_c6) @ X3))
% 1.13/0.92 != (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c6) != (sk_c5))
% 1.13/0.92 | ((multiply @ sk_c6 @ (inverse @ sk_c6)) != (sk_c6)))),
% 1.13/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl2506])).
% 1.13/0.92 thf(zip_derived_cl404, plain,
% 1.13/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl74])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl411, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl404, plain,
% 1.13/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl373, zip_derived_cl74])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl409, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl2508, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((multiply @ X0 @ (inverse @ sk_c6)) != (sk_c6))
% 1.13/0.92 | ((inverse @ X0) != (sk_c6))
% 1.13/0.92 | ((multiply @ X1 @ sk_c6) != (sk_c6))
% 1.13/0.92 | ((inverse @ X1) != (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c6) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (sk_c6))
% 1.13/0.92 | ((multiply @ X2 @ sk_c6) != (X3))
% 1.13/0.92 | ((X3) != (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c6) != (sk_c5))
% 1.13/0.92 | ((identity) != (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl2507, zip_derived_cl411, zip_derived_cl409])).
% 1.13/0.92 thf(zip_derived_cl2509, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((multiply @ X0 @ (inverse @ identity)) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((multiply @ X1 @ identity) != (identity))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((multiply @ identity @ identity) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (identity))
% 1.13/0.92 | ((multiply @ X2 @ identity) != (X3))
% 1.13/0.92 | ((X3) != (identity))
% 1.13/0.92 | ((inverse @ identity) != (sk_c5))
% 1.13/0.92 | ((identity) != (sk_c6)))),
% 1.13/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl2508])).
% 1.13/0.92 thf(zip_derived_cl0, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl73, plain,
% 1.13/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl104, plain,
% 1.13/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl273, plain, (((inverse @ identity) = (identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl373, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.13/0.92 thf(zip_derived_cl373, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.13/0.92 thf(zip_derived_cl0, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.92 thf(zip_derived_cl373, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.13/0.92 thf(zip_derived_cl273, plain, (((inverse @ identity) = (identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl2510, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((X0) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((X1) != (identity))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((identity) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (identity))
% 1.13/0.92 | ((X2) != (X3))
% 1.13/0.92 | ((X3) != (identity))
% 1.13/0.92 | ((identity) != (sk_c5))
% 1.13/0.92 | ((identity) != (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl2509, zip_derived_cl273, zip_derived_cl373,
% 1.13/0.92 zip_derived_cl373, zip_derived_cl0, zip_derived_cl373,
% 1.13/0.92 zip_derived_cl273])).
% 1.13/0.92 thf(zip_derived_cl2511, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.13/0.92 (((identity) != (sk_c6))
% 1.13/0.92 | ((X3) != (identity))
% 1.13/0.92 | ((X2) != (X3))
% 1.13/0.92 | ((inverse @ X2) != (identity))
% 1.13/0.92 | ((identity) != (sk_c5))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((X1) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((X0) != (identity)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl2510])).
% 1.13/0.92 thf(zip_derived_cl2600, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 (((X0) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((X1) != (identity))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((identity) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (identity))
% 1.13/0.92 | ((X2) != (identity))
% 1.13/0.92 | ((identity) != (sk_c6)))),
% 1.13/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2511])).
% 1.13/0.92 thf(prove_this_7, conjecture,
% 1.13/0.92 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.13/0.92 thf(zf_stmt_10, negated_conjecture,
% 1.13/0.92 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.13/0.92 thf(zip_derived_cl9, plain,
% 1.13/0.92 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl31, plain,
% 1.13/0.92 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl80, plain,
% 1.13/0.92 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl373, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.13/0.92 thf(zip_derived_cl393, plain,
% 1.13/0.92 ((((sk_c3) = (inverse @ sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl373])).
% 1.13/0.92 thf(prove_this_8, conjecture,
% 1.13/0.92 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.13/0.92 thf(zf_stmt_11, negated_conjecture,
% 1.13/0.92 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.13/0.92 thf(zip_derived_cl10, plain,
% 1.13/0.92 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.13/0.92 thf(zip_derived_cl479, plain,
% 1.13/0.92 ((((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl10])).
% 1.13/0.92 thf(zip_derived_cl484, plain,
% 1.13/0.92 ((((inverse @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl479])).
% 1.13/0.92 thf(zip_derived_cl2469, plain, (((sk_c6) = (sk_c7))),
% 1.13/0.92 inference('clc', [status(thm)], [zip_derived_cl2454, zip_derived_cl1418])).
% 1.13/0.92 thf(zip_derived_cl2469, plain, (((sk_c6) = (sk_c7))),
% 1.13/0.92 inference('clc', [status(thm)], [zip_derived_cl2454, zip_derived_cl1418])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl2469, plain, (((sk_c6) = (sk_c7))),
% 1.13/0.92 inference('clc', [status(thm)], [zip_derived_cl2454, zip_derived_cl1418])).
% 1.13/0.92 thf(zip_derived_cl2544, plain,
% 1.13/0.92 ((((inverse @ sk_c6) = (sk_c5)) | ((identity) = (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl484, zip_derived_cl2469, zip_derived_cl2469,
% 1.13/0.92 zip_derived_cl1, zip_derived_cl2469])).
% 1.13/0.92 thf(prove_this_2, conjecture,
% 1.13/0.92 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.13/0.92 thf(zf_stmt_12, negated_conjecture,
% 1.13/0.92 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.13/0.92 thf(zip_derived_cl4, plain,
% 1.13/0.92 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl30, plain,
% 1.13/0.92 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl79, plain,
% 1.13/0.92 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl62])).
% 1.13/0.92 thf(zip_derived_cl373, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl71])).
% 1.13/0.92 thf(zip_derived_cl392, plain,
% 1.13/0.92 ((((sk_c3) = (inverse @ sk_c7)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl373])).
% 1.13/0.92 thf(zip_derived_cl2469, plain, (((sk_c6) = (sk_c7))),
% 1.13/0.92 inference('clc', [status(thm)], [zip_derived_cl2454, zip_derived_cl1418])).
% 1.13/0.92 thf(zip_derived_cl2469, plain, (((sk_c6) = (sk_c7))),
% 1.13/0.92 inference('clc', [status(thm)], [zip_derived_cl2454, zip_derived_cl1418])).
% 1.13/0.92 thf(zip_derived_cl2535, plain,
% 1.13/0.92 ((((sk_c3) = (inverse @ sk_c6)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl392, zip_derived_cl2469, zip_derived_cl2469])).
% 1.13/0.92 thf(prove_this_3, conjecture,
% 1.13/0.92 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.13/0.92 thf(zf_stmt_13, negated_conjecture,
% 1.13/0.92 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.13/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.13/0.92 thf(zip_derived_cl5, plain,
% 1.13/0.92 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.13/0.92 thf(zip_derived_cl2469, plain, (((sk_c6) = (sk_c7))),
% 1.13/0.92 inference('clc', [status(thm)], [zip_derived_cl2454, zip_derived_cl1418])).
% 1.13/0.92 thf(zip_derived_cl2469, plain, (((sk_c6) = (sk_c7))),
% 1.13/0.92 inference('clc', [status(thm)], [zip_derived_cl2454, zip_derived_cl1418])).
% 1.13/0.92 thf(zip_derived_cl2472, plain,
% 1.13/0.92 ((((multiply @ sk_c3 @ sk_c6) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl5, zip_derived_cl2469, zip_derived_cl2469])).
% 1.13/0.92 thf(zip_derived_cl3366, plain,
% 1.13/0.92 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl2535, zip_derived_cl2472])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl3368, plain,
% 1.13/0.92 ((((identity) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl3366, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl3369, plain,
% 1.13/0.92 ((((multiply @ sk_c6 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3368])).
% 1.13/0.92 thf(zip_derived_cl3378, plain,
% 1.13/0.92 ((((multiply @ sk_c6 @ (inverse @ sk_c6)) = (sk_c6))
% 1.13/0.92 | ((identity) = (sk_c6))
% 1.13/0.92 | ((identity) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl2544, zip_derived_cl3369])).
% 1.13/0.92 thf(zip_derived_cl409, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl404, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl3383, plain,
% 1.13/0.92 ((((identity) = (sk_c6))
% 1.13/0.92 | ((identity) = (sk_c6))
% 1.13/0.92 | ((identity) = (sk_c6)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl3378, zip_derived_cl409])).
% 1.13/0.92 thf(zip_derived_cl3384, plain, (((identity) = (sk_c6))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3383])).
% 1.13/0.92 thf(zip_derived_cl3468, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 (((X0) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((X1) != (identity))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((identity) != (sk_c5))
% 1.13/0.92 | ((inverse @ X2) != (identity))
% 1.13/0.92 | ((X2) != (identity))
% 1.13/0.92 | ((identity) != (identity)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl2600, zip_derived_cl3384])).
% 1.13/0.92 thf(zip_derived_cl3469, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 (((X2) != (identity))
% 1.13/0.92 | ((inverse @ X2) != (identity))
% 1.13/0.92 | ((identity) != (sk_c5))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((X1) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((X0) != (identity)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3468])).
% 1.13/0.92 thf(zip_derived_cl1418, plain,
% 1.13/0.92 ((((sk_c7) = (sk_c6))
% 1.13/0.92 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl1416])).
% 1.13/0.92 thf(prove_this_9, conjecture,
% 1.13/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.13/0.92 thf(zf_stmt_14, negated_conjecture,
% 1.13/0.92 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.13/0.92 thf(zip_derived_cl11, plain,
% 1.13/0.92 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.13/0.92 thf(zip_derived_cl1, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.13/0.92 thf(zip_derived_cl33, plain,
% 1.13/0.92 ((((multiply @ sk_c6 @ sk_c4) = (identity))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl62, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl78, plain,
% 1.13/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl62])).
% 1.13/0.92 thf(prove_this_10, conjecture,
% 1.13/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 1.13/0.92 thf(zf_stmt_15, negated_conjecture,
% 1.13/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.13/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 1.13/0.92 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.13/0.92 thf(zip_derived_cl12, plain,
% 1.13/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.13/0.92 thf(zip_derived_cl134, plain,
% 1.13/0.92 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c5)
% 1.13/0.92 = (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl12])).
% 1.13/0.92 thf(zip_derived_cl2, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.13/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.13/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.13/0.92 thf(zip_derived_cl0, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.92 thf(zip_derived_cl139, plain,
% 1.13/0.92 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl134, zip_derived_cl2, zip_derived_cl0])).
% 1.13/0.92 thf(zip_derived_cl140, plain,
% 1.13/0.92 ((((inverse @ sk_c7) = (sk_c5))
% 1.13/0.92 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl139])).
% 1.13/0.92 thf(zip_derived_cl1443, plain,
% 1.13/0.92 ((((inverse @ sk_c6) = (sk_c5))
% 1.13/0.92 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl1418, zip_derived_cl140])).
% 1.13/0.92 thf(zip_derived_cl1467, plain,
% 1.13/0.92 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 1.13/0.92 | ((inverse @ sk_c6) = (sk_c5)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl1443])).
% 1.13/0.92 thf(zip_derived_cl3384, plain, (((identity) = (sk_c6))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3383])).
% 1.13/0.92 thf(zip_derived_cl273, plain, (((inverse @ identity) = (identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl0, plain,
% 1.13/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.13/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.13/0.92 thf(zip_derived_cl3384, plain, (((identity) = (sk_c6))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3383])).
% 1.13/0.92 thf(zip_derived_cl3384, plain, (((identity) = (sk_c6))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3383])).
% 1.13/0.92 thf(zip_derived_cl273, plain, (((inverse @ identity) = (identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl3393, plain,
% 1.13/0.92 ((((sk_c5) = (identity)) | ((identity) = (sk_c5)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl1467, zip_derived_cl3384, zip_derived_cl273,
% 1.13/0.92 zip_derived_cl0, zip_derived_cl3384, zip_derived_cl3384,
% 1.13/0.92 zip_derived_cl273])).
% 1.13/0.92 thf(zip_derived_cl3394, plain, (((sk_c5) = (identity))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3393])).
% 1.13/0.92 thf(zip_derived_cl3479, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 (((X2) != (identity))
% 1.13/0.92 | ((inverse @ X2) != (identity))
% 1.13/0.92 | ((identity) != (identity))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((X1) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((X0) != (identity)))),
% 1.13/0.92 inference('demod', [status(thm)],
% 1.13/0.92 [zip_derived_cl3469, zip_derived_cl3394])).
% 1.13/0.92 thf(zip_derived_cl3480, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.13/0.92 (((X0) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((X1) != (identity))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((inverse @ X2) != (identity))
% 1.13/0.92 | ((X2) != (identity)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3479])).
% 1.13/0.92 thf(zip_derived_cl3481, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 (((X0) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((X1) != (identity))
% 1.13/0.92 | ((inverse @ identity) != (identity)))),
% 1.13/0.92 inference('eq_res', [status(thm)], [zip_derived_cl3480])).
% 1.13/0.92 thf(zip_derived_cl273, plain, (((inverse @ identity) = (identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl3482, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 (((X0) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((X1) != (identity))
% 1.13/0.92 | ((identity) != (identity)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl3481, zip_derived_cl273])).
% 1.13/0.92 thf(zip_derived_cl3483, plain,
% 1.13/0.92 (![X0 : $i, X1 : $i]:
% 1.13/0.92 (((X1) != (identity))
% 1.13/0.92 | ((inverse @ X1) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((X0) != (identity)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3482])).
% 1.13/0.92 thf(zip_derived_cl3484, plain,
% 1.13/0.92 (![X0 : $i]:
% 1.13/0.92 (((X0) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((inverse @ identity) != (identity)))),
% 1.13/0.92 inference('eq_res', [status(thm)], [zip_derived_cl3483])).
% 1.13/0.92 thf(zip_derived_cl273, plain, (((inverse @ identity) = (identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl3485, plain,
% 1.13/0.92 (![X0 : $i]:
% 1.13/0.92 (((X0) != (identity))
% 1.13/0.92 | ((inverse @ X0) != (identity))
% 1.13/0.92 | ((identity) != (identity)))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl3484, zip_derived_cl273])).
% 1.13/0.92 thf(zip_derived_cl3486, plain,
% 1.13/0.92 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3485])).
% 1.13/0.92 thf(zip_derived_cl3487, plain, (((inverse @ identity) != (identity))),
% 1.13/0.92 inference('eq_res', [status(thm)], [zip_derived_cl3486])).
% 1.13/0.92 thf(zip_derived_cl273, plain, (((inverse @ identity) = (identity))),
% 1.13/0.92 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl1])).
% 1.13/0.92 thf(zip_derived_cl3488, plain, (((identity) != (identity))),
% 1.13/0.92 inference('demod', [status(thm)], [zip_derived_cl3487, zip_derived_cl273])).
% 1.13/0.92 thf(zip_derived_cl3489, plain, ($false),
% 1.13/0.92 inference('simplify', [status(thm)], [zip_derived_cl3488])).
% 1.13/0.92
% 1.13/0.92 % SZS output end Refutation
% 1.13/0.92
% 1.13/0.92
% 1.13/0.92 % Terminating...
% 1.42/0.96 % Runner terminated.
% 1.42/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------