TSTP Solution File: GRP253-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP253-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qT7hlr6rpS true
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:55 EDT 2023
% Result : Unsatisfiable 1.80s 0.88s
% Output : Refutation 1.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP253-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qT7hlr6rpS true
% 0.17/0.34 % Computer : n027.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Aug 29 00:35:53 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.80/0.88 % Solved by fo/fo7.sh.
% 1.80/0.88 % done 267 iterations in 0.106s
% 1.80/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.80/0.88 % SZS output start Refutation
% 1.80/0.88 thf(sk_c6_type, type, sk_c6: $i).
% 1.80/0.88 thf(sk_c2_type, type, sk_c2: $i).
% 1.80/0.88 thf(sk_c5_type, type, sk_c5: $i).
% 1.80/0.88 thf(identity_type, type, identity: $i).
% 1.80/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.80/0.88 thf(sk_c7_type, type, sk_c7: $i).
% 1.80/0.88 thf(inverse_type, type, inverse: $i > $i).
% 1.80/0.88 thf(sk_c4_type, type, sk_c4: $i).
% 1.80/0.88 thf(sk_c1_type, type, sk_c1: $i).
% 1.80/0.88 thf(prove_this_19, conjecture,
% 1.80/0.88 (~( ( ( inverse @ sk_c5 ) != ( sk_c6 ) ) |
% 1.80/0.88 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.80/0.88 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.80/0.88 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.80/0.88 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 1.80/0.88 ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.80/0.88 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.80/0.88 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.80/0.88 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) ) ))).
% 1.80/0.88 thf(zf_stmt_0, negated_conjecture,
% 1.80/0.88 (( ( inverse @ sk_c5 ) != ( sk_c6 ) ) |
% 1.80/0.88 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.80/0.88 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.80/0.88 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.80/0.88 ( ( inverse @ X4 ) != ( sk_c6 ) ) | ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.80/0.88 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.80/0.88 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.80/0.88 ( ( multiply @ X2 @ sk_c7 ) != ( sk_c6 ) )),
% 1.80/0.88 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.80/0.88 thf(zip_derived_cl21, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.80/0.88 (((inverse @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((multiply @ X1 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X3) != (sk_c7))
% 1.80/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c6)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.80/0.88 thf(prove_this_4, conjecture,
% 1.80/0.88 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.80/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.80/0.88 thf(zf_stmt_1, negated_conjecture,
% 1.80/0.88 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.80/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.80/0.88 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.80/0.88 thf(zip_derived_cl6, plain,
% 1.80/0.88 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.80/0.88 thf(prove_this_5, conjecture,
% 1.80/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.80/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.80/0.88 thf(zf_stmt_2, negated_conjecture,
% 1.80/0.88 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.80/0.88 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.80/0.88 thf(zip_derived_cl7, plain,
% 1.80/0.88 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.80/0.88 thf(zip_derived_cl7, plain,
% 1.80/0.88 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.80/0.88 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl25, plain,
% 1.80/0.88 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(associativity, axiom,
% 1.80/0.88 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.80/0.88 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.80/0.88 thf(zip_derived_cl2, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.80/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.80/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.80/0.88 thf(zip_derived_cl85, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((multiply @ identity @ X0)
% 1.80/0.88 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.80/0.88 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.80/0.88 thf(zip_derived_cl0, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.80/0.88 thf(zip_derived_cl103, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl120, plain,
% 1.80/0.88 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl6, plain,
% 1.80/0.88 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.80/0.88 thf(zip_derived_cl170, plain,
% 1.80/0.88 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.80/0.88 = (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl6])).
% 1.80/0.88 thf(zip_derived_cl2, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.80/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.80/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.80/0.88 thf(zip_derived_cl0, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl175, plain,
% 1.80/0.88 ((((identity) = (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl170, zip_derived_cl2, zip_derived_cl0,
% 1.80/0.88 zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl176, plain,
% 1.80/0.88 ((((inverse @ sk_c1) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 1.80/0.88 thf(prove_this_6, conjecture,
% 1.80/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.80/0.88 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.80/0.88 thf(zf_stmt_3, negated_conjecture,
% 1.80/0.88 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.80/0.88 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.80/0.88 thf(zip_derived_cl8, plain,
% 1.80/0.88 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl26, plain,
% 1.80/0.88 ((((multiply @ sk_c6 @ sk_c5) = (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl182, plain,
% 1.80/0.88 ((((multiply @ identity @ sk_c5) = (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl176, zip_derived_cl26])).
% 1.80/0.88 thf(zip_derived_cl193, plain,
% 1.80/0.88 ((((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ identity @ sk_c5) = (identity)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl182])).
% 1.80/0.88 thf(zip_derived_cl0, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.80/0.88 thf(zip_derived_cl377, plain,
% 1.80/0.88 ((((identity) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl176, plain,
% 1.80/0.88 ((((inverse @ sk_c1) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 1.80/0.88 thf(zip_derived_cl8, plain,
% 1.80/0.88 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.80/0.88 thf(zip_derived_cl176, plain,
% 1.80/0.88 ((((inverse @ sk_c1) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 1.80/0.88 thf(zip_derived_cl26, plain,
% 1.80/0.88 ((((multiply @ sk_c6 @ sk_c5) = (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl103, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl121, plain,
% 1.80/0.88 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl176, plain,
% 1.80/0.88 ((((inverse @ sk_c1) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 1.80/0.88 thf(zip_derived_cl121, plain,
% 1.80/0.88 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl176, plain,
% 1.80/0.88 ((((inverse @ sk_c1) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 1.80/0.88 thf(zip_derived_cl8, plain,
% 1.80/0.88 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.80/0.88 thf(zip_derived_cl176, plain,
% 1.80/0.88 ((((inverse @ sk_c1) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 1.80/0.88 thf(zip_derived_cl6, plain,
% 1.80/0.88 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.80/0.88 thf(zip_derived_cl7, plain,
% 1.80/0.88 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.80/0.88 thf(zip_derived_cl8, plain,
% 1.80/0.88 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.80/0.88 thf(zip_derived_cl21, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.80/0.88 (((inverse @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((multiply @ X1 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X3) != (sk_c7))
% 1.80/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c6)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.80/0.88 thf(zip_derived_cl22, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.80/0.88 (((sk_c6) != (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ X3) != (sk_c7)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl21])).
% 1.80/0.88 thf(zip_derived_cl23, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.80/0.88 (((inverse @ X3) != (sk_c7))
% 1.80/0.88 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl22])).
% 1.80/0.88 thf(zip_derived_cl37, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 (((sk_c7) != (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((multiply @ sk_c4 @ sk_c7) != (sk_c6)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl23])).
% 1.80/0.88 thf(zip_derived_cl47, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 (((multiply @ sk_c4 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl37])).
% 1.80/0.88 thf(zip_derived_cl58, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 (((sk_c6) != (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((multiply @ X2 @ sk_c5) != (sk_c6)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl47])).
% 1.80/0.88 thf(zip_derived_cl60, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 (((multiply @ X2 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl58])).
% 1.80/0.88 thf(zip_derived_cl191, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 (((inverse @ X0) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ X1) != (sk_c7))
% 1.80/0.88 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((multiply @ X0 @ sk_c5) != (sk_c6)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl60])).
% 1.80/0.88 thf(zip_derived_cl196, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ X0) != (identity)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl191])).
% 1.80/0.88 thf(zip_derived_cl301, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((sk_c6) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((multiply @ sk_c5 @ sk_c5) != (sk_c6)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl196])).
% 1.80/0.88 thf(zip_derived_cl312, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((multiply @ sk_c5 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((sk_c6) != (identity)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl301])).
% 1.80/0.88 thf(zip_derived_cl313, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((multiply @ sk_c5 @ sk_c5) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((sk_c6) != (identity)))),
% 1.80/0.88 inference('local_rewriting', [status(thm)], [zip_derived_cl312])).
% 1.80/0.88 thf(zip_derived_cl320, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((identity) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (identity))
% 1.80/0.88 | ((multiply @ sk_c5 @ sk_c5) != (identity)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl313])).
% 1.80/0.88 thf(zip_derived_cl322, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((multiply @ sk_c5 @ sk_c5) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl320])).
% 1.80/0.88 thf(zip_derived_cl326, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c5)
% 1.80/0.88 != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (identity)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl322])).
% 1.80/0.88 thf(zip_derived_cl2, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.80/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.80/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.80/0.88 thf(zip_derived_cl0, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.80/0.88 thf(zip_derived_cl330, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((multiply @ (inverse @ sk_c6) @ sk_c5) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (identity)))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl326, zip_derived_cl2, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl331, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((inverse @ X1) != (identity))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ (inverse @ sk_c6) @ sk_c5) != (identity)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl330])).
% 1.80/0.88 thf(zip_derived_cl338, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((multiply @ (inverse @ identity) @ sk_c5) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (identity)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl331])).
% 1.80/0.88 thf(zip_derived_cl0, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.80/0.88 thf(zip_derived_cl103, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl116, plain,
% 1.80/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl341, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((sk_c5) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.80/0.88 | ((inverse @ X1) != (identity)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl338, zip_derived_cl116])).
% 1.80/0.88 thf(zip_derived_cl342, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((inverse @ X1) != (identity))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((sk_c5) != (identity)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl341])).
% 1.80/0.88 thf(zip_derived_cl343, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((inverse @ X1) != (identity))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((sk_c5) != (identity)))),
% 1.80/0.88 inference('local_rewriting', [status(thm)], [zip_derived_cl342])).
% 1.80/0.88 thf(zip_derived_cl344, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((multiply @ (inverse @ sk_c6) @ identity) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl343])).
% 1.80/0.88 thf(zip_derived_cl347, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((inverse @ X1) != (identity))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ (inverse @ sk_c6) @ identity) != (identity)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl344])).
% 1.80/0.88 thf(zip_derived_cl349, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((multiply @ (inverse @ identity) @ identity) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl347])).
% 1.80/0.88 thf(zip_derived_cl116, plain,
% 1.80/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl351, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((identity) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl349, zip_derived_cl116])).
% 1.80/0.88 thf(zip_derived_cl352, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((inverse @ X1) != (identity))
% 1.80/0.88 | ((multiply @ X1 @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl351])).
% 1.80/0.88 thf(zip_derived_cl356, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((sk_c6) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ sk_c5 @ identity) != (identity)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl352])).
% 1.80/0.88 thf(zip_derived_cl367, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((multiply @ sk_c5 @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((sk_c6) != (identity)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl356])).
% 1.80/0.88 thf(zip_derived_cl372, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((identity) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ sk_c5 @ identity) != (identity)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl367])).
% 1.80/0.88 thf(zip_derived_cl374, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((multiply @ sk_c5 @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl372])).
% 1.80/0.88 thf(zip_derived_cl536, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((multiply @ identity @ identity) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl377, zip_derived_cl374])).
% 1.80/0.88 thf(zip_derived_cl0, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.80/0.88 thf(zip_derived_cl543, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((identity) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (sk_c7)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl536, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl544, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((inverse @ X0) != (sk_c7))
% 1.80/0.88 | ((multiply @ X0 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl543])).
% 1.80/0.88 thf(zip_derived_cl547, plain,
% 1.80/0.88 ((((sk_c7) != (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((multiply @ sk_c4 @ sk_c7) != (identity)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl544])).
% 1.80/0.88 thf(zip_derived_cl559, plain,
% 1.80/0.88 ((((multiply @ sk_c4 @ sk_c7) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl547])).
% 1.80/0.88 thf(zip_derived_cl567, plain,
% 1.80/0.88 ((((sk_c6) != (identity))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7))
% 1.80/0.88 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.80/0.88 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl559])).
% 1.80/0.88 thf(zip_derived_cl572, plain,
% 1.80/0.88 ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c6) != (identity)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl567])).
% 1.80/0.88 thf(zip_derived_cl176, plain,
% 1.80/0.88 ((((inverse @ sk_c1) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 1.80/0.88 thf(zip_derived_cl577, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.80/0.88 inference('clc', [status(thm)], [zip_derived_cl572, zip_derived_cl176])).
% 1.80/0.88 thf(zip_derived_cl577, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.80/0.88 inference('clc', [status(thm)], [zip_derived_cl572, zip_derived_cl176])).
% 1.80/0.88 thf(zip_derived_cl577, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.80/0.88 inference('clc', [status(thm)], [zip_derived_cl572, zip_derived_cl176])).
% 1.80/0.88 thf(zip_derived_cl577, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.80/0.88 inference('clc', [status(thm)], [zip_derived_cl572, zip_derived_cl176])).
% 1.80/0.88 thf(zip_derived_cl589, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.80/0.88 (((inverse @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (sk_c6))
% 1.80/0.88 | ((multiply @ X1 @ sk_c5) != (sk_c6))
% 1.80/0.88 | ((inverse @ X1) != (sk_c6))
% 1.80/0.88 | ((inverse @ X2) != (sk_c6))
% 1.80/0.88 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 1.80/0.88 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X3 @ (inverse @ sk_c1)) != (sk_c6)))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl21, zip_derived_cl577, zip_derived_cl577,
% 1.80/0.88 zip_derived_cl577, zip_derived_cl577])).
% 1.80/0.88 thf(prove_this_2, conjecture,
% 1.80/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.80/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.80/0.88 thf(zf_stmt_4, negated_conjecture,
% 1.80/0.88 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.80/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.80/0.88 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.80/0.88 thf(zip_derived_cl4, plain,
% 1.80/0.88 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl24, plain,
% 1.80/0.88 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 1.80/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl103, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl119, plain,
% 1.80/0.88 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.80/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl103])).
% 1.80/0.88 thf(prove_this_1, conjecture,
% 1.80/0.88 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.80/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.80/0.88 thf(zf_stmt_5, negated_conjecture,
% 1.80/0.88 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.80/0.88 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.80/0.88 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.80/0.88 thf(zip_derived_cl3, plain,
% 1.80/0.88 ((((multiply @ sk_c4 @ sk_c7) = (sk_c6))
% 1.80/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.80/0.88 thf(zip_derived_cl257, plain,
% 1.80/0.88 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.80/0.88 = (sk_c6))
% 1.80/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 1.80/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl3])).
% 1.80/0.88 thf(zip_derived_cl2, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.80/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.80/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.80/0.88 thf(zip_derived_cl0, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl263, plain,
% 1.80/0.88 ((((identity) = (sk_c6))
% 1.80/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6))
% 1.80/0.88 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl257, zip_derived_cl2, zip_derived_cl0,
% 1.80/0.88 zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl264, plain,
% 1.80/0.88 ((((multiply @ sk_c1 @ sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl263])).
% 1.80/0.88 thf(zip_derived_cl577, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.80/0.88 inference('clc', [status(thm)], [zip_derived_cl572, zip_derived_cl176])).
% 1.80/0.88 thf(zip_derived_cl604, plain,
% 1.80/0.88 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c6))
% 1.80/0.88 | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl577])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl103, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl117, plain,
% 1.80/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl103, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl103, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl114, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl990, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 1.80/0.88 thf(zip_derived_cl117, plain,
% 1.80/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl1025, plain,
% 1.80/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl990, zip_derived_cl117])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl1193, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl1025, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl1252, plain,
% 1.80/0.88 ((((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl604, zip_derived_cl1193])).
% 1.80/0.88 thf(zip_derived_cl1253, plain, (((identity) = (sk_c6))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1252])).
% 1.80/0.88 thf(zip_derived_cl1253, plain, (((identity) = (sk_c6))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1252])).
% 1.80/0.88 thf(zip_derived_cl1253, plain, (((identity) = (sk_c6))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1252])).
% 1.80/0.88 thf(zip_derived_cl1253, plain, (((identity) = (sk_c6))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1252])).
% 1.80/0.88 thf(zip_derived_cl1253, plain, (((identity) = (sk_c6))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1252])).
% 1.80/0.88 thf(zip_derived_cl1253, plain, (((identity) = (sk_c6))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1252])).
% 1.80/0.88 thf(zip_derived_cl990, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 1.80/0.88 thf(zip_derived_cl1253, plain, (((identity) = (sk_c6))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1252])).
% 1.80/0.88 thf(zip_derived_cl1296, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.80/0.88 (((inverse @ sk_c5) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((multiply @ X1 @ sk_c5) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity))
% 1.80/0.88 | ((inverse @ X2) != (identity))
% 1.80/0.88 | ((X2) != (sk_c5))
% 1.80/0.88 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity)))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl589, zip_derived_cl1253, zip_derived_cl1253,
% 1.80/0.88 zip_derived_cl1253, zip_derived_cl1253, zip_derived_cl1253,
% 1.80/0.88 zip_derived_cl1253, zip_derived_cl990, zip_derived_cl1253])).
% 1.80/0.88 thf(prove_this_12, conjecture,
% 1.80/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.80/0.88 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.80/0.88 thf(zf_stmt_6, negated_conjecture,
% 1.80/0.88 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.80/0.88 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.80/0.88 thf(zip_derived_cl14, plain,
% 1.80/0.88 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl31, plain,
% 1.80/0.88 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.80/0.88 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl103, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl124, plain,
% 1.80/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.80/0.88 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl103])).
% 1.80/0.88 thf(prove_this_9, conjecture,
% 1.80/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.80/0.88 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.80/0.88 thf(zf_stmt_7, negated_conjecture,
% 1.80/0.88 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.80/0.88 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 1.80/0.88 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.80/0.88 thf(zip_derived_cl11, plain,
% 1.80/0.88 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 1.80/0.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.80/0.88 thf(zip_derived_cl458, plain,
% 1.80/0.88 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.80/0.88 = (sk_c5))
% 1.80/0.88 | ((inverse @ sk_c5) = (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl11])).
% 1.80/0.88 thf(zip_derived_cl2, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.80/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.80/0.88 inference('cnf', [status(esa)], [associativity])).
% 1.80/0.88 thf(zip_derived_cl0, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl467, plain,
% 1.80/0.88 ((((identity) = (sk_c5))
% 1.80/0.88 | ((inverse @ sk_c5) = (sk_c6))
% 1.80/0.88 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl458, zip_derived_cl2, zip_derived_cl0,
% 1.80/0.88 zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl468, plain,
% 1.80/0.88 ((((inverse @ sk_c5) = (sk_c6)) | ((identity) = (sk_c5)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl467])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl471, plain,
% 1.80/0.88 ((((multiply @ sk_c6 @ sk_c5) = (identity)) | ((identity) = (sk_c5)))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl468, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl1253, plain, (((identity) = (sk_c6))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1252])).
% 1.80/0.88 thf(zip_derived_cl0, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_identity])).
% 1.80/0.88 thf(zip_derived_cl1285, plain,
% 1.80/0.88 ((((sk_c5) = (identity)) | ((identity) = (sk_c5)))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl471, zip_derived_cl1253, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl1286, plain, (((sk_c5) = (identity))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1285])).
% 1.80/0.88 thf(zip_derived_cl116, plain,
% 1.80/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl103, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl0])).
% 1.80/0.88 thf(zip_derived_cl147, plain,
% 1.80/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl103])).
% 1.80/0.88 thf(zip_derived_cl1, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.80/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 1.80/0.88 thf(zip_derived_cl887, plain, (((inverse @ identity) = (identity))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl1286, plain, (((sk_c5) = (identity))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1285])).
% 1.80/0.88 thf(zip_derived_cl990, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 1.80/0.88 thf(zip_derived_cl1286, plain, (((sk_c5) = (identity))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1285])).
% 1.80/0.88 thf(zip_derived_cl1337, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.80/0.88 (((identity) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((X1) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity))
% 1.80/0.88 | ((inverse @ X2) != (identity))
% 1.80/0.88 | ((X2) != (identity))
% 1.80/0.88 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity)))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl1296, zip_derived_cl1286, zip_derived_cl887,
% 1.80/0.88 zip_derived_cl1286, zip_derived_cl990, zip_derived_cl1286])).
% 1.80/0.88 thf(zip_derived_cl1338, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.80/0.88 (((multiply @ X3 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.80/0.88 | ((X2) != (identity))
% 1.80/0.88 | ((inverse @ X2) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity))
% 1.80/0.88 | ((X1) != (identity))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (inverse @ sk_c1)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1337])).
% 1.80/0.88 thf(zip_derived_cl1339, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 (((inverse @ X0) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((X1) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity))
% 1.80/0.88 | ((inverse @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity)))),
% 1.80/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1338])).
% 1.80/0.88 thf(zip_derived_cl887, plain, (((inverse @ identity) = (identity))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl1340, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 (((inverse @ X0) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((X1) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (identity))
% 1.80/0.88 | ((identity) != (identity))
% 1.80/0.88 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl1339, zip_derived_cl887])).
% 1.80/0.88 thf(zip_derived_cl1341, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.80/0.88 (((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.80/0.88 | ((inverse @ X1) != (identity))
% 1.80/0.88 | ((X1) != (identity))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (inverse @ sk_c1)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1340])).
% 1.80/0.88 thf(zip_derived_cl1342, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((inverse @ X0) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((inverse @ identity) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity)))),
% 1.80/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1341])).
% 1.80/0.88 thf(zip_derived_cl887, plain, (((inverse @ identity) = (identity))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl1343, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((inverse @ X0) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((identity) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity)))),
% 1.80/0.88 inference('demod', [status(thm)], [zip_derived_cl1342, zip_derived_cl887])).
% 1.80/0.88 thf(zip_derived_cl1344, plain,
% 1.80/0.88 (![X0 : $i, X1 : $i]:
% 1.80/0.88 (((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (inverse @ sk_c1)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1343])).
% 1.80/0.88 thf(zip_derived_cl1346, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((inverse @ X0) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity)))),
% 1.80/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1344])).
% 1.80/0.88 thf(zip_derived_cl1193, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl1025, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl1347, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((inverse @ X0) != (inverse @ sk_c1))
% 1.80/0.88 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((identity) != (identity)))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl1346, zip_derived_cl1193])).
% 1.80/0.88 thf(zip_derived_cl1348, plain,
% 1.80/0.88 (![X0 : $i]:
% 1.80/0.88 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.80/0.88 | ((inverse @ X0) != (inverse @ sk_c1)))),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1347])).
% 1.80/0.88 thf(zip_derived_cl1350, plain,
% 1.80/0.88 (((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity))),
% 1.80/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1348])).
% 1.80/0.88 thf(zip_derived_cl1193, plain,
% 1.80/0.88 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.80/0.88 inference('sup+', [status(thm)], [zip_derived_cl1025, zip_derived_cl1])).
% 1.80/0.88 thf(zip_derived_cl1351, plain, (((identity) != (identity))),
% 1.80/0.88 inference('demod', [status(thm)],
% 1.80/0.88 [zip_derived_cl1350, zip_derived_cl1193])).
% 1.80/0.88 thf(zip_derived_cl1352, plain, ($false),
% 1.80/0.88 inference('simplify', [status(thm)], [zip_derived_cl1351])).
% 1.80/0.88
% 1.80/0.88 % SZS output end Refutation
% 1.80/0.88
% 1.80/0.88
% 1.80/0.88 % Terminating...
% 2.47/0.97 % Runner terminated.
% 2.47/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------