%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP353-1 : 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.gzTdsOf3ie true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:36:17 PM UTC 2025
% Result : Unsatisfiable 1.15s 0.79s
% Output : Refutation 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP353-1 : TPTP v9.2.0. Released v2.5.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gzTdsOf3ie true
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 14:26:08 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % 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
% 0.88/0.66 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.67 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.88/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.88/0.68 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.15/0.79 % Solved by fo/fo7.sh.
% 1.15/0.79 % done 195 iterations in 0.093s
% 1.15/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.15/0.79 % SZS output start Refutation
% 1.15/0.79 thf(sk_c1_type, type, sk_c1: $i).
% 1.15/0.79 thf(sk_c7_type, type, sk_c7: $i).
% 1.15/0.79 thf(sk_c4_type, type, sk_c4: $i).
% 1.15/0.79 thf(sk_c3_type, type, sk_c3: $i).
% 1.15/0.79 thf(identity_type, type, identity: $i).
% 1.15/0.79 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.15/0.79 thf(sk_c5_type, type, sk_c5: $i).
% 1.15/0.79 thf(inverse_type, type, inverse: $i > $i).
% 1.15/0.79 thf(sk_c2_type, type, sk_c2: $i).
% 1.15/0.79 thf(sk_c6_type, type, sk_c6: $i).
% 1.15/0.79 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(prove_this_21, conjecture,
% 1.15/0.79 (~( ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.15/0.79 thf(zf_stmt_0, negated_conjecture,
% 1.15/0.79 (( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 1.15/0.79 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.15/0.79 thf(zip_derived_cl23, plain,
% 1.15/0.79 ((((multiply @ sk_c2 @ sk_c6) = (sk_c7))
% 1.15/0.79 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.15/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.15/0.79 thf(prove_this_16, conjecture,
% 1.15/0.79 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 1.15/0.79 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.15/0.79 thf(zf_stmt_1, negated_conjecture,
% 1.15/0.79 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 1.15/0.79 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.15/0.79 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.15/0.79 thf(zip_derived_cl18, plain,
% 1.15/0.79 ((((multiply @ sk_c3 @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.15/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(zip_derived_cl34, plain,
% 1.15/0.79 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.15/0.79 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(associativity, axiom,
% 1.15/0.79 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.15/0.79 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.15/0.79 thf(zip_derived_cl2, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/0.79 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.15/0.79 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.15/0.79 inference('cnf', [status(esa)], [associativity])).
% 1.15/0.79 thf(zip_derived_cl47, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((multiply @ identity @ X0)
% 1.15/0.79 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.15/0.79 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl65, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl82, plain,
% 1.15/0.79 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.15/0.79 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl65])).
% 1.15/0.79 thf(prove_this_10, conjecture,
% 1.15/0.79 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.15/0.79 thf(zf_stmt_2, negated_conjecture,
% 1.15/0.79 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c6 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.15/0.79 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.15/0.79 thf(zip_derived_cl12, plain,
% 1.15/0.79 ((((multiply @ sk_c3 @ sk_c4) = (sk_c6))
% 1.15/0.79 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.15/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.15/0.79 thf(zip_derived_cl203, plain,
% 1.15/0.79 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.15/0.79 = (sk_c6))
% 1.15/0.79 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6))
% 1.15/0.79 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl12])).
% 1.15/0.79 thf(zip_derived_cl2, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/0.79 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.15/0.79 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.15/0.79 inference('cnf', [status(esa)], [associativity])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(zip_derived_cl218, plain,
% 1.15/0.79 ((((identity) = (sk_c6))
% 1.15/0.79 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6))
% 1.15/0.79 | ((multiply @ sk_c3 @ sk_c4) = (sk_c6)))),
% 1.15/0.79 inference('demod', [status(thm)],
% 1.15/0.79 [zip_derived_cl203, zip_derived_cl2, zip_derived_cl0,
% 1.15/0.79 zip_derived_cl1])).
% 1.15/0.79 thf(zip_derived_cl219, plain,
% 1.15/0.79 ((((multiply @ sk_c3 @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl218])).
% 1.15/0.79 thf(zip_derived_cl65, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl251, plain,
% 1.15/0.79 ((((sk_c4) = (multiply @ (inverse @ sk_c3) @ sk_c6))
% 1.15/0.79 | ((identity) = (sk_c6)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl219, zip_derived_cl65])).
% 1.15/0.79 thf(prove_this_17, conjecture,
% 1.15/0.79 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 1.15/0.79 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.15/0.79 thf(zf_stmt_3, negated_conjecture,
% 1.15/0.79 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.15/0.79 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.15/0.79 thf(zip_derived_cl19, plain,
% 1.15/0.79 ((((inverse @ sk_c3) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.15/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(zip_derived_cl30, plain,
% 1.15/0.79 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.15/0.79 | ((inverse @ sk_c3) = (sk_c4)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.15/0.79 thf(zip_derived_cl65, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl80, plain,
% 1.15/0.79 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.15/0.79 | ((inverse @ sk_c3) = (sk_c4)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl65])).
% 1.15/0.79 thf(prove_this_11, conjecture,
% 1.15/0.79 (~( ( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.15/0.79 thf(zf_stmt_4, negated_conjecture,
% 1.15/0.79 (( ( inverse @ sk_c3 ) = ( sk_c4 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.15/0.79 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.15/0.79 thf(zip_derived_cl13, plain,
% 1.15/0.79 ((((inverse @ sk_c3) = (sk_c4)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.15/0.79 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.15/0.79 thf(zip_derived_cl109, plain,
% 1.15/0.79 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.15/0.79 = (sk_c6))
% 1.15/0.79 | ((inverse @ sk_c3) = (sk_c4))
% 1.15/0.79 | ((inverse @ sk_c3) = (sk_c4)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl13])).
% 1.15/0.79 thf(zip_derived_cl2, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/0.79 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.15/0.79 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.15/0.79 inference('cnf', [status(esa)], [associativity])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(zip_derived_cl124, plain,
% 1.15/0.79 ((((identity) = (sk_c6))
% 1.15/0.79 | ((inverse @ sk_c3) = (sk_c4))
% 1.15/0.79 | ((inverse @ sk_c3) = (sk_c4)))),
% 1.15/0.79 inference('demod', [status(thm)],
% 1.15/0.79 [zip_derived_cl109, zip_derived_cl2, zip_derived_cl0,
% 1.15/0.79 zip_derived_cl1])).
% 1.15/0.79 thf(zip_derived_cl125, plain,
% 1.15/0.79 ((((inverse @ sk_c3) = (sk_c4)) | ((identity) = (sk_c6)))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl124])).
% 1.15/0.79 thf(zip_derived_cl262, plain,
% 1.15/0.79 ((((inverse @ sk_c3) = (multiply @ (inverse @ sk_c3) @ sk_c6))
% 1.15/0.79 | ((identity) = (sk_c6))
% 1.15/0.79 | ((identity) = (sk_c6)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl251, zip_derived_cl125])).
% 1.15/0.79 thf(zip_derived_cl265, plain,
% 1.15/0.79 ((((identity) = (sk_c6))
% 1.15/0.79 | ((inverse @ sk_c3) = (multiply @ (inverse @ sk_c3) @ sk_c6)))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl262])).
% 1.15/0.79 thf(zip_derived_cl65, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl294, plain,
% 1.15/0.79 ((((sk_c6)
% 1.15/0.79 = (multiply @ (inverse @ (inverse @ sk_c3)) @ (inverse @ sk_c3)))
% 1.15/0.79 | ((identity) = (sk_c6)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl265, zip_derived_cl65])).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(zip_derived_cl295, plain,
% 1.15/0.79 ((((sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl294, zip_derived_cl1])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl316, plain,
% 1.15/0.79 ((((multiply @ sk_c2 @ identity) = (sk_c7))
% 1.15/0.79 | ((multiply @ sk_c7 @ sk_c5) = (identity)))),
% 1.15/0.79 inference('demod', [status(thm)],
% 1.15/0.79 [zip_derived_cl23, zip_derived_cl296, zip_derived_cl296])).
% 1.15/0.79 thf(prove_this_1, conjecture,
% 1.15/0.79 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.15/0.79 thf(zf_stmt_5, negated_conjecture,
% 1.15/0.79 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 1.15/0.79 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.15/0.79 thf(zip_derived_cl3, plain,
% 1.15/0.79 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.15/0.79 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl297, plain, ((((sk_c7) = (sk_c5)) | ((sk_c5) = (sk_c7)))),
% 1.15/0.79 inference('demod', [status(thm)],
% 1.15/0.79 [zip_derived_cl3, zip_derived_cl296, zip_derived_cl0,
% 1.15/0.79 zip_derived_cl296, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl298, plain, (((sk_c7) = (sk_c5))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl297])).
% 1.15/0.79 thf(zip_derived_cl298, plain, (((sk_c7) = (sk_c5))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl297])).
% 1.15/0.79 thf(zip_derived_cl772, plain,
% 1.15/0.79 ((((multiply @ sk_c2 @ identity) = (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) = (identity)))),
% 1.15/0.79 inference('demod', [status(thm)],
% 1.15/0.79 [zip_derived_cl316, zip_derived_cl298, zip_derived_cl298])).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(zip_derived_cl65, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl75, plain,
% 1.15/0.79 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl65])).
% 1.15/0.79 thf(zip_derived_cl65, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl65, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl72, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl65])).
% 1.15/0.79 thf(zip_derived_cl445, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl72])).
% 1.15/0.79 thf(zip_derived_cl775, plain,
% 1.15/0.79 ((((sk_c5) = (sk_c2)) | ((multiply @ sk_c5 @ sk_c5) = (identity)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl772, zip_derived_cl445])).
% 1.15/0.79 thf(prove_this_20, conjecture,
% 1.15/0.79 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.15/0.79 thf(zf_stmt_6, negated_conjecture,
% 1.15/0.79 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 1.15/0.79 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.15/0.79 thf(zip_derived_cl22, plain,
% 1.15/0.79 ((((inverse @ sk_c2) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.15/0.79 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl315, plain,
% 1.15/0.79 ((((inverse @ sk_c2) = (sk_c7))
% 1.15/0.79 | ((multiply @ sk_c7 @ sk_c5) = (identity)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl296])).
% 1.15/0.79 thf(zip_derived_cl298, plain, (((sk_c7) = (sk_c5))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl297])).
% 1.15/0.79 thf(zip_derived_cl298, plain, (((sk_c7) = (sk_c5))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl297])).
% 1.15/0.79 thf(zip_derived_cl405, plain,
% 1.15/0.79 ((((inverse @ sk_c2) = (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) = (identity)))),
% 1.15/0.79 inference('demod', [status(thm)],
% 1.15/0.79 [zip_derived_cl315, zip_derived_cl298, zip_derived_cl298])).
% 1.15/0.79 thf(zip_derived_cl779, plain,
% 1.15/0.79 ((((inverse @ sk_c5) = (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) = (identity))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) = (identity)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl775, zip_derived_cl405])).
% 1.15/0.79 thf(zip_derived_cl782, plain,
% 1.15/0.79 ((((multiply @ sk_c5 @ sk_c5) = (identity))
% 1.15/0.79 | ((inverse @ sk_c5) = (sk_c5)))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl779])).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(zip_derived_cl786, plain,
% 1.15/0.79 ((((multiply @ sk_c5 @ sk_c5) = (identity))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) = (identity)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl782, zip_derived_cl1])).
% 1.15/0.79 thf(zip_derived_cl791, plain, (((multiply @ sk_c5 @ sk_c5) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 1.15/0.79 thf(zip_derived_cl65, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl796, plain,
% 1.15/0.79 (((sk_c5) = (multiply @ (inverse @ sk_c5) @ identity))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl791, zip_derived_cl65])).
% 1.15/0.79 thf(zip_derived_cl445, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl72])).
% 1.15/0.79 thf(zip_derived_cl802, plain, (((sk_c5) = (inverse @ sk_c5))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl796, zip_derived_cl445])).
% 1.15/0.79 thf(prove_this_25, conjecture,
% 1.15/0.79 (~( ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.15/0.79 ( ( inverse @ X3 ) != ( X4 ) ) |
% 1.15/0.79 ( ( multiply @ X3 @ X4 ) != ( sk_c6 ) ) |
% 1.15/0.79 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.15/0.79 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.15/0.79 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.15/0.79 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) ))).
% 1.15/0.79 thf(zf_stmt_7, negated_conjecture,
% 1.15/0.79 (( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.15/0.79 ( ( inverse @ X3 ) != ( X4 ) ) |
% 1.15/0.79 ( ( multiply @ X3 @ X4 ) != ( sk_c6 ) ) |
% 1.15/0.79 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.15/0.79 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.15/0.79 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.15/0.79 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.15/0.79 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) )),
% 1.15/0.79 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.15/0.79 thf(zip_derived_cl27, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (sk_c6))
% 1.15/0.79 | ((multiply @ X2 @ sk_c6) != (sk_c7))
% 1.15/0.79 | ((inverse @ X2) != (sk_c7))
% 1.15/0.79 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 1.15/0.79 | ((inverse @ X3) != (sk_c7))
% 1.15/0.79 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 1.15/0.79 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 1.15/0.79 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.15/0.79 thf(zip_derived_cl28, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((multiply @ X0 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (sk_c6))
% 1.15/0.79 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 1.15/0.79 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c5))
% 1.15/0.79 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 1.15/0.79 | ((multiply @ (multiply @ sk_c6 @ sk_c5) @ sk_c5) != (sk_c6))
% 1.15/0.79 | ((inverse @ X3) != (multiply @ sk_c6 @ sk_c5))
% 1.15/0.79 | ((multiply @ X3 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 1.15/0.79 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 1.15/0.79 inference('local_rewriting', [status(thm)], [zip_derived_cl27])).
% 1.15/0.79 thf(zip_derived_cl2, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/0.79 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.15/0.79 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.15/0.79 inference('cnf', [status(esa)], [associativity])).
% 1.15/0.79 thf(zip_derived_cl43, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((multiply @ X0 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (sk_c6))
% 1.15/0.79 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 1.15/0.79 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c5))
% 1.15/0.79 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c6 @ (multiply @ sk_c5 @ sk_c5)) != (sk_c6))
% 1.15/0.79 | ((inverse @ X3) != (multiply @ sk_c6 @ sk_c5))
% 1.15/0.79 | ((multiply @ X3 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 1.15/0.79 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl296, plain, (((sk_c6) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl295])).
% 1.15/0.79 thf(zip_derived_cl0, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_identity])).
% 1.15/0.79 thf(zip_derived_cl320, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((multiply @ X0 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((multiply @ X2 @ identity) != (sk_c5))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((sk_c5) != (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X3) != (sk_c5))
% 1.15/0.79 | ((multiply @ X3 @ sk_c5) != (identity))
% 1.15/0.79 | ((sk_c5) != (sk_c7)))),
% 1.15/0.79 inference('demod', [status(thm)],
% 1.15/0.79 [zip_derived_cl43, zip_derived_cl296, zip_derived_cl0,
% 1.15/0.79 zip_derived_cl296, zip_derived_cl296, zip_derived_cl296,
% 1.15/0.79 zip_derived_cl296, zip_derived_cl0, zip_derived_cl296,
% 1.15/0.79 zip_derived_cl0, zip_derived_cl296, zip_derived_cl296,
% 1.15/0.79 zip_derived_cl0, zip_derived_cl0, zip_derived_cl296,
% 1.15/0.79 zip_derived_cl0, zip_derived_cl296, zip_derived_cl296,
% 1.15/0.79 zip_derived_cl0, zip_derived_cl296, zip_derived_cl0,
% 1.15/0.79 zip_derived_cl296, zip_derived_cl296, zip_derived_cl0])).
% 1.15/0.79 thf(zip_derived_cl321, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((sk_c5) != (sk_c7))
% 1.15/0.79 | ((multiply @ X3 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X3) != (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((multiply @ X2 @ identity) != (sk_c5))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X0 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl320])).
% 1.15/0.79 thf(zip_derived_cl298, plain, (((sk_c7) = (sk_c5))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl297])).
% 1.15/0.79 thf(zip_derived_cl343, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((sk_c5) != (sk_c5))
% 1.15/0.79 | ((multiply @ X3 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X3) != (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((multiply @ X2 @ identity) != (sk_c5))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X0 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl321, zip_derived_cl298])).
% 1.15/0.79 thf(zip_derived_cl344, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((multiply @ X0 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((multiply @ X2 @ identity) != (sk_c5))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X3) != (sk_c5))
% 1.15/0.79 | ((multiply @ X3 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl343])).
% 1.15/0.79 thf(zip_derived_cl445, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl72])).
% 1.15/0.79 thf(zip_derived_cl457, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((multiply @ X0 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((X2) != (sk_c5))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X3) != (sk_c5))
% 1.15/0.79 | ((multiply @ X3 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl344, zip_derived_cl445])).
% 1.15/0.79 thf(zip_derived_cl791, plain, (((multiply @ sk_c5 @ sk_c5) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 1.15/0.79 thf(zip_derived_cl793, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((multiply @ X0 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((X2) != (sk_c5))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((identity) != (identity))
% 1.15/0.79 | ((inverse @ X3) != (sk_c5))
% 1.15/0.79 | ((multiply @ X3 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl457, zip_derived_cl791])).
% 1.15/0.79 thf(zip_derived_cl794, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.15/0.79 (((multiply @ X3 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X3) != (sk_c5))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((X2) != (sk_c5))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X0 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl793])).
% 1.15/0.79 thf(zip_derived_cl998, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/0.79 (((multiply @ X0 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((inverse @ sk_c5) != (sk_c5))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((multiply @ X2 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('eq_res', [status(thm)], [zip_derived_cl794])).
% 1.15/0.79 thf(zip_derived_cl802, plain, (((sk_c5) = (inverse @ sk_c5))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl796, zip_derived_cl445])).
% 1.15/0.79 thf(zip_derived_cl999, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/0.79 (((multiply @ X0 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((sk_c5) != (sk_c5))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((multiply @ X2 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl998, zip_derived_cl802])).
% 1.15/0.79 thf(zip_derived_cl1000, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.15/0.79 (((multiply @ X2 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X2) != (sk_c5))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X0 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl999])).
% 1.15/0.79 thf(zip_derived_cl1002, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 (((sk_c5) != (sk_c5))
% 1.15/0.79 | ((multiply @ X0 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((multiply @ sk_c5 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('sup-', [status(thm)], [zip_derived_cl802, zip_derived_cl1000])).
% 1.15/0.79 thf(zip_derived_cl791, plain, (((multiply @ sk_c5 @ sk_c5) = (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl786])).
% 1.15/0.79 thf(zip_derived_cl1008, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 (((sk_c5) != (sk_c5))
% 1.15/0.79 | ((multiply @ X0 @ sk_c5) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((identity) != (identity)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl1002, zip_derived_cl791])).
% 1.15/0.79 thf(zip_derived_cl1009, plain,
% 1.15/0.79 (![X0 : $i, X1 : $i]:
% 1.15/0.79 (((multiply @ X1 @ X0) != (identity))
% 1.15/0.79 | ((inverse @ X1) != (X0))
% 1.15/0.79 | ((multiply @ X0 @ sk_c5) != (identity)))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl1008])).
% 1.15/0.79 thf(zip_derived_cl1023, plain,
% 1.15/0.79 (![X0 : $i]:
% 1.15/0.79 (((multiply @ (inverse @ X0) @ sk_c5) != (identity))
% 1.15/0.79 | ((multiply @ X0 @ (inverse @ X0)) != (identity)))),
% 1.15/0.79 inference('eq_res', [status(thm)], [zip_derived_cl1009])).
% 1.15/0.79 thf(zip_derived_cl445, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl72])).
% 1.15/0.79 thf(zip_derived_cl75, plain,
% 1.15/0.79 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl65])).
% 1.15/0.79 thf(zip_derived_cl466, plain,
% 1.15/0.79 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl75])).
% 1.15/0.79 thf(zip_derived_cl1, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.15/0.79 inference('cnf', [status(esa)], [left_inverse])).
% 1.15/0.79 thf(zip_derived_cl471, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.15/0.79 inference('sup+', [status(thm)], [zip_derived_cl466, zip_derived_cl1])).
% 1.15/0.79 thf(zip_derived_cl1024, plain,
% 1.15/0.79 (![X0 : $i]:
% 1.15/0.79 (((multiply @ (inverse @ X0) @ sk_c5) != (identity))
% 1.15/0.79 | ((identity) != (identity)))),
% 1.15/0.79 inference('demod', [status(thm)], [zip_derived_cl1023, zip_derived_cl471])).
% 1.15/0.79 thf(zip_derived_cl1025, plain,
% 1.15/0.79 (![X0 : $i]: ((multiply @ (inverse @ X0) @ sk_c5) != (identity))),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl1024])).
% 1.15/0.79 thf(zip_derived_cl1028, plain, (((identity) != (identity))),
% 1.15/0.79 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1025])).
% 1.15/0.79 thf(zip_derived_cl1037, plain, ($false),
% 1.15/0.79 inference('simplify', [status(thm)], [zip_derived_cl1028])).
% 1.15/0.79
% 1.15/0.79 % SZS output end Refutation
% 1.15/0.79
% 1.15/0.79
% 1.15/0.79 % Terminating...
% 1.41/0.88 % Runner terminated.
% 1.46/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------