TSTP Solution File: GRP238-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP238-1 : 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.QQRkBcWnQA true
% Computer : n004.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 01:50:51 EDT 2023
% Result : Unsatisfiable 0.56s 1.23s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP238-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QQRkBcWnQA true
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 21:16:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.53/0.66 % Total configuration time : 435
% 0.53/0.66 % Estimated wc time : 1092
% 0.53/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.23 % Solved by fo/fo7.sh.
% 0.56/1.23 % done 1153 iterations in 0.439s
% 0.56/1.23 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.23 % SZS output start Refutation
% 0.56/1.23 thf(sk_c8_type, type, sk_c8: $i).
% 0.56/1.23 thf(sk_c4_type, type, sk_c4: $i).
% 0.56/1.23 thf(sk_c1_type, type, sk_c1: $i).
% 0.56/1.23 thf(sk_c7_type, type, sk_c7: $i).
% 0.56/1.23 thf(sk_c6_type, type, sk_c6: $i).
% 0.56/1.23 thf(identity_type, type, identity: $i).
% 0.56/1.23 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/1.23 thf(sk_c10_type, type, sk_c10: $i).
% 0.56/1.23 thf(sk_c2_type, type, sk_c2: $i).
% 0.56/1.23 thf(inverse_type, type, inverse: $i > $i).
% 0.56/1.23 thf(sk_c5_type, type, sk_c5: $i).
% 0.56/1.23 thf(sk_c3_type, type, sk_c3: $i).
% 0.56/1.23 thf(sk_c9_type, type, sk_c9: $i).
% 0.56/1.23 thf(sk_c11_type, type, sk_c11: $i).
% 0.56/1.23 thf(prove_this_4, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_0, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 0.56/1.23 thf(zip_derived_cl6, plain,
% 0.56/1.23 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/1.23 thf(prove_this_5, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_1, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.56/1.23 thf(zip_derived_cl7, plain,
% 0.56/1.23 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/1.23 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(associativity, axiom,
% 0.56/1.23 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.56/1.23 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.56/1.23 thf(zip_derived_cl2, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.23 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.23 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.23 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.23 thf(zip_derived_cl98, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((multiply @ identity @ X0)
% 0.56/1.23 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/1.23 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.56/1.23 thf(zip_derived_cl0, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl162, plain,
% 0.56/1.23 ((((sk_c10) = (multiply @ (inverse @ sk_c6) @ sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl4468, plain,
% 0.56/1.23 ((((sk_c10) = (multiply @ sk_c11 @ sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl162])).
% 0.56/1.23 thf(zip_derived_cl4476, plain,
% 0.56/1.23 ((((inverse @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((sk_c10) = (multiply @ sk_c11 @ sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4468])).
% 0.56/1.23 thf(prove_this_57, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_2, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_57])).
% 0.56/1.23 thf(zip_derived_cl59, plain,
% 0.56/1.23 ((((inverse @ sk_c7) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl70, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ sk_c2) = (identity))
% 0.56/1.23 | ((inverse @ sk_c7) = (sk_c8)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl156, plain,
% 0.56/1.23 ((((sk_c2) = (multiply @ (inverse @ sk_c11) @ identity))
% 0.56/1.23 | ((inverse @ sk_c7) = (sk_c8)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl70, zip_derived_cl128])).
% 0.56/1.23 thf(prove_this_47, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 0.56/1.23 thf(zf_stmt_3, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_47])).
% 0.56/1.23 thf(zip_derived_cl49, plain,
% 0.56/1.23 ((((inverse @ sk_c7) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/1.23 thf(zip_derived_cl368, plain,
% 0.56/1.23 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 0.56/1.23 = (sk_c3))
% 0.56/1.23 | ((inverse @ sk_c7) = (sk_c8))
% 0.56/1.23 | ((inverse @ sk_c7) = (sk_c8)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl49])).
% 0.56/1.23 thf(zip_derived_cl2, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.23 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.23 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.23 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.23 thf(zip_derived_cl0, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl386, plain,
% 0.56/1.23 ((((identity) = (sk_c3))
% 0.56/1.23 | ((inverse @ sk_c7) = (sk_c8))
% 0.56/1.23 | ((inverse @ sk_c7) = (sk_c8)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl368, zip_derived_cl2, zip_derived_cl0,
% 0.56/1.23 zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl387, plain,
% 0.56/1.23 ((((inverse @ sk_c7) = (sk_c8)) | ((identity) = (sk_c3)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl386])).
% 0.56/1.23 thf(prove_this_37, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_4, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 0.56/1.23 thf(zip_derived_cl39, plain,
% 0.56/1.23 ((((inverse @ sk_c7) = (sk_c8))
% 0.56/1.23 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/1.23 thf(zip_derived_cl393, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c7) = (sk_c8))
% 0.56/1.23 | ((inverse @ sk_c7) = (sk_c8)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl387, zip_derived_cl39])).
% 0.56/1.23 thf(zip_derived_cl397, plain,
% 0.56/1.23 ((((inverse @ sk_c7) = (sk_c8))
% 0.56/1.23 | ((multiply @ sk_c11 @ identity) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl393])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl144, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl141, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl834, plain,
% 0.56/1.23 ((((inverse @ sk_c7) = (sk_c8)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl397, zip_derived_cl792])).
% 0.56/1.23 thf(prove_this_56, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_5, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_56])).
% 0.56/1.23 thf(zip_derived_cl58, plain,
% 0.56/1.23 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c2) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl144, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl844, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl792, zip_derived_cl144])).
% 0.56/1.23 thf(zip_derived_cl871, plain,
% 0.56/1.23 ((((sk_c2) = (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl844])).
% 0.56/1.23 thf(prove_this_46, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 0.56/1.23 thf(zf_stmt_6, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 0.56/1.23 thf(zip_derived_cl48, plain,
% 0.56/1.23 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/1.23 thf(zip_derived_cl1485, plain,
% 0.56/1.23 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c3))
% 0.56/1.23 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl871, zip_derived_cl48])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl1509, plain,
% 0.56/1.23 ((((identity) = (sk_c3))
% 0.56/1.23 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl1485, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl1510, plain,
% 0.56/1.23 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10)) | ((identity) = (sk_c3)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl1509])).
% 0.56/1.23 thf(prove_this_36, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_7, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 0.56/1.23 thf(zip_derived_cl38, plain,
% 0.56/1.23 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/1.23 thf(zip_derived_cl1538, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl1510, zip_derived_cl38])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl1552, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl1538, zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl1553, plain,
% 0.56/1.23 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl1552])).
% 0.56/1.23 thf(zip_derived_cl2036, plain,
% 0.56/1.23 ((((multiply @ sk_c7 @ (inverse @ sk_c7)) = (sk_c10))
% 0.56/1.23 | ((sk_c11) = (sk_c10))
% 0.56/1.23 | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl834, zip_derived_cl1553])).
% 0.56/1.23 thf(zip_derived_cl844, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl792, zip_derived_cl144])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl849, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl844, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl2040, plain,
% 0.56/1.23 ((((identity) = (sk_c10)) | ((sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl2036, zip_derived_cl849])).
% 0.56/1.23 thf(zip_derived_cl2041, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10)) | ((identity) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl2040])).
% 0.56/1.23 thf(prove_this_2, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_8, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.56/1.23 thf(zip_derived_cl4, plain,
% 0.56/1.23 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/1.23 thf(prove_this_1, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_9, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.56/1.23 thf(zip_derived_cl3, plain,
% 0.56/1.23 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/1.23 thf(zip_derived_cl75, plain,
% 0.56/1.23 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.56/1.23 thf(zip_derived_cl76, plain,
% 0.56/1.23 ((((inverse @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl75])).
% 0.56/1.23 thf(zip_derived_cl849, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl844, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl1292, plain,
% 0.56/1.23 ((((inverse @ sk_c11) = (sk_c10)) | ((identity) = (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl849])).
% 0.56/1.23 thf(zip_derived_cl2058, plain,
% 0.56/1.23 ((((inverse @ sk_c11) = (sk_c11))
% 0.56/1.23 | ((identity) = (sk_c10))
% 0.56/1.23 | ((identity) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl2041, zip_derived_cl1292])).
% 0.56/1.23 thf(zip_derived_cl2041, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10)) | ((identity) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl2040])).
% 0.56/1.23 thf(zip_derived_cl2060, plain,
% 0.56/1.23 ((((sk_c11) != (identity)) | ((identity) = (sk_c10)))),
% 0.56/1.23 inference('eq_fact', [status(thm)], [zip_derived_cl2041])).
% 0.56/1.23 thf(zip_derived_cl2081, plain,
% 0.56/1.23 ((((identity) = (sk_c10)) | ((inverse @ sk_c11) = (sk_c11)))),
% 0.56/1.23 inference('clc', [status(thm)], [zip_derived_cl2058, zip_derived_cl2060])).
% 0.56/1.23 thf(prove_this_54, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_10, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_54])).
% 0.56/1.23 thf(zip_derived_cl56, plain,
% 0.56/1.23 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c2) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl73, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ sk_c2) = (identity))
% 0.56/1.23 | ((inverse @ sk_c6) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl157, plain,
% 0.56/1.23 ((((sk_c2) = (multiply @ (inverse @ sk_c11) @ identity))
% 0.56/1.23 | ((inverse @ sk_c6) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl128])).
% 0.56/1.23 thf(prove_this_44, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 0.56/1.23 thf(zf_stmt_11, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_44])).
% 0.56/1.23 thf(zip_derived_cl46, plain,
% 0.56/1.23 ((((inverse @ sk_c6) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/1.23 thf(zip_derived_cl565, plain,
% 0.56/1.23 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 0.56/1.23 = (sk_c3))
% 0.56/1.23 | ((inverse @ sk_c6) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c6) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl46])).
% 0.56/1.23 thf(zip_derived_cl2, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.23 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.23 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.23 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.23 thf(zip_derived_cl0, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl583, plain,
% 0.56/1.23 ((((identity) = (sk_c3))
% 0.56/1.23 | ((inverse @ sk_c6) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c6) = (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl565, zip_derived_cl2, zip_derived_cl0,
% 0.56/1.23 zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl584, plain,
% 0.56/1.23 ((((inverse @ sk_c6) = (sk_c11)) | ((identity) = (sk_c3)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl583])).
% 0.56/1.23 thf(prove_this_34, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_12, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 0.56/1.23 thf(zip_derived_cl36, plain,
% 0.56/1.23 ((((inverse @ sk_c6) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.56/1.23 thf(zip_derived_cl592, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c6) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c6) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl584, zip_derived_cl36])).
% 0.56/1.23 thf(zip_derived_cl601, plain,
% 0.56/1.23 ((((inverse @ sk_c6) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c11 @ identity) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl592])).
% 0.56/1.23 thf(zip_derived_cl144, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl702, plain,
% 0.56/1.23 ((((sk_c6) = (multiply @ (inverse @ sk_c11) @ identity))
% 0.56/1.23 | ((multiply @ sk_c11 @ identity) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl144])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl837, plain,
% 0.56/1.23 ((((sk_c6) = (inverse @ sk_c11)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl702, zip_derived_cl792, zip_derived_cl792])).
% 0.56/1.23 thf(prove_this_55, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_13, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_55])).
% 0.56/1.23 thf(zip_derived_cl57, plain,
% 0.56/1.23 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c2) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/1.23 thf(zip_derived_cl844, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl792, zip_derived_cl144])).
% 0.56/1.23 thf(zip_derived_cl870, plain,
% 0.56/1.23 ((((sk_c2) = (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl844])).
% 0.56/1.23 thf(prove_this_45, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 0.56/1.23 thf(zf_stmt_14, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_45])).
% 0.56/1.23 thf(zip_derived_cl47, plain,
% 0.56/1.23 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.56/1.23 thf(zip_derived_cl1792, plain,
% 0.56/1.23 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c3))
% 0.56/1.23 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl870, zip_derived_cl47])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl1816, plain,
% 0.56/1.23 ((((identity) = (sk_c3))
% 0.56/1.23 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl1792, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl1817, plain,
% 0.56/1.23 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11)) | ((identity) = (sk_c3)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl1816])).
% 0.56/1.23 thf(prove_this_35, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_15, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_35])).
% 0.56/1.23 thf(zip_derived_cl37, plain,
% 0.56/1.23 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.56/1.23 thf(zip_derived_cl1842, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl1817, zip_derived_cl37])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl1856, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl1842, zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl1857, plain,
% 0.56/1.23 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl1856])).
% 0.56/1.23 thf(zip_derived_cl2238, plain,
% 0.56/1.23 ((((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11))
% 0.56/1.23 | ((sk_c11) = (sk_c10))
% 0.56/1.23 | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl837, zip_derived_cl1857])).
% 0.56/1.23 thf(zip_derived_cl2239, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ (inverse @ sk_c11) @ sk_c10) = (sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl2238])).
% 0.56/1.23 thf(zip_derived_cl3375, plain,
% 0.56/1.23 ((((multiply @ (inverse @ sk_c11) @ identity) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c11))
% 0.56/1.23 | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl2081, zip_derived_cl2239])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl3381, plain,
% 0.56/1.23 ((((inverse @ sk_c11) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c11))
% 0.56/1.23 | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl3375, zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl3382, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10)) | ((inverse @ sk_c11) = (sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl3381])).
% 0.56/1.23 thf(zip_derived_cl4599, plain,
% 0.56/1.23 ((((sk_c11) = (inverse @ sk_c11))
% 0.56/1.23 | ((sk_c10) = (multiply @ sk_c11 @ sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4476, zip_derived_cl3382])).
% 0.56/1.23 thf(zip_derived_cl4609, plain,
% 0.56/1.23 ((((sk_c10) = (multiply @ sk_c11 @ sk_c11))
% 0.56/1.23 | ((sk_c11) = (inverse @ sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4599])).
% 0.56/1.23 thf(zip_derived_cl2081, plain,
% 0.56/1.23 ((((identity) = (sk_c10)) | ((inverse @ sk_c11) = (sk_c11)))),
% 0.56/1.23 inference('clc', [status(thm)], [zip_derived_cl2058, zip_derived_cl2060])).
% 0.56/1.23 thf(zip_derived_cl4633, plain,
% 0.56/1.23 ((((identity) = (multiply @ sk_c11 @ sk_c11))
% 0.56/1.23 | ((sk_c11) = (inverse @ sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4609, zip_derived_cl2081])).
% 0.56/1.23 thf(zip_derived_cl4649, plain,
% 0.56/1.23 ((((sk_c11) = (inverse @ sk_c11))
% 0.56/1.23 | ((identity) = (multiply @ sk_c11 @ sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4633])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl4657, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ sk_c11) = (identity))
% 0.56/1.23 | ((identity) = (multiply @ sk_c11 @ sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4649, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl4666, plain, (((multiply @ sk_c11 @ sk_c11) = (identity))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4657])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl4687, plain,
% 0.56/1.23 (((sk_c11) = (multiply @ (inverse @ sk_c11) @ identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4666, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl4948, plain, (((sk_c11) = (inverse @ sk_c11))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4687, zip_derived_cl792])).
% 0.56/1.23 thf(prove_this_61, conjecture,
% 0.56/1.23 (~( ( ( multiply @ X9 @ sk_c11 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ X9 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ X8 @ sk_c11 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ X7 ) != ( X8 ) ) |
% 0.56/1.23 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ X3 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ X2 ) != ( X1 ) ) |
% 0.56/1.23 ( ( multiply @ X2 @ X1 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ X6 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ X6 @ sk_c11 ) != ( X5 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ X5 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) != ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_16, negated_conjecture,
% 0.56/1.23 (( ( multiply @ X9 @ sk_c11 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ X9 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ X8 @ sk_c11 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ X7 ) != ( X8 ) ) |
% 0.56/1.23 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ X3 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ X2 ) != ( X1 ) ) |
% 0.56/1.23 ( ( multiply @ X2 @ X1 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ X6 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ X6 @ sk_c11 ) != ( X5 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ X5 ) != ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c11 ) != ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_61])).
% 0.56/1.23 thf(zip_derived_cl63, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/1.23 X7 : $i, X8 : $i]:
% 0.56/1.23 (((multiply @ X0 @ sk_c11) != (sk_c10))
% 0.56/1.23 | ((inverse @ X0) != (sk_c10))
% 0.56/1.23 | ((multiply @ X1 @ sk_c11) != (sk_c10))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (sk_c10))
% 0.56/1.23 | ((multiply @ X3 @ sk_c10) != (sk_c11))
% 0.56/1.23 | ((inverse @ X3) != (sk_c11))
% 0.56/1.23 | ((multiply @ X4 @ sk_c10) != (sk_c11))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (sk_c11))
% 0.56/1.23 | ((inverse @ X6) != (sk_c11))
% 0.56/1.23 | ((multiply @ X6 @ sk_c11) != (X7))
% 0.56/1.23 | ((multiply @ sk_c11 @ X7) != (sk_c10))
% 0.56/1.23 | ((multiply @ X8 @ sk_c10) != (sk_c11))
% 0.56/1.23 | ((inverse @ X8) != (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) != (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.56/1.23 thf(zip_derived_cl64, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/1.23 X7 : $i, X8 : $i]:
% 0.56/1.23 (((multiply @ X0 @ sk_c11) != (inverse @ sk_c11))
% 0.56/1.23 | ((inverse @ X0) != (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ X1 @ sk_c11) != (inverse @ sk_c11))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ X3 @ (inverse @ sk_c11)) != (sk_c11))
% 0.56/1.23 | ((inverse @ X3) != (sk_c11))
% 0.56/1.23 | ((multiply @ X4 @ (inverse @ sk_c11)) != (sk_c11))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (sk_c11))
% 0.56/1.23 | ((inverse @ X6) != (sk_c11))
% 0.56/1.23 | ((multiply @ X6 @ sk_c11) != (X7))
% 0.56/1.23 | ((multiply @ sk_c11 @ X7) != (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ X8 @ (inverse @ sk_c11)) != (sk_c11))
% 0.56/1.23 | ((inverse @ X8) != (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) != (sk_c10)))),
% 0.56/1.23 inference('local_rewriting', [status(thm)], [zip_derived_cl63])).
% 0.56/1.23 thf(zip_derived_cl601, plain,
% 0.56/1.23 ((((inverse @ sk_c6) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c11 @ identity) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl592])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl836, plain,
% 0.56/1.23 ((((inverse @ sk_c6) = (sk_c11)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl601, zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl1857, plain,
% 0.56/1.23 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl1856])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl2232, plain,
% 0.56/1.23 ((((sk_c10) = (multiply @ (inverse @ sk_c6) @ sk_c11))
% 0.56/1.23 | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl1857, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl3307, plain,
% 0.56/1.23 ((((sk_c10) = (multiply @ sk_c11 @ sk_c11))
% 0.56/1.23 | ((sk_c11) = (sk_c10))
% 0.56/1.23 | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl836, zip_derived_cl2232])).
% 0.56/1.23 thf(zip_derived_cl3312, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10)) | ((sk_c10) = (multiply @ sk_c11 @ sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl3307])).
% 0.56/1.23 thf(prove_this_59, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c9 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_17, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c9 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_59])).
% 0.56/1.23 thf(zip_derived_cl61, plain,
% 0.56/1.23 ((((inverse @ sk_c9) = (sk_c10)) | ((inverse @ sk_c2) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl74, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ sk_c2) = (identity))
% 0.56/1.23 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl61, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl158, plain,
% 0.56/1.23 ((((sk_c2) = (multiply @ (inverse @ sk_c11) @ identity))
% 0.56/1.23 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl128])).
% 0.56/1.23 thf(prove_this_49, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c9 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 0.56/1.23 thf(zf_stmt_18, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c9 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_49])).
% 0.56/1.23 thf(zip_derived_cl51, plain,
% 0.56/1.23 ((((inverse @ sk_c9) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.56/1.23 thf(zip_derived_cl510, plain,
% 0.56/1.23 ((((multiply @ (multiply @ (inverse @ sk_c11) @ identity) @ sk_c11)
% 0.56/1.23 = (sk_c3))
% 0.56/1.23 | ((inverse @ sk_c9) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl158, zip_derived_cl51])).
% 0.56/1.23 thf(zip_derived_cl2, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.23 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.23 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.23 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.23 thf(zip_derived_cl0, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl528, plain,
% 0.56/1.23 ((((identity) = (sk_c3))
% 0.56/1.23 | ((inverse @ sk_c9) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl510, zip_derived_cl2, zip_derived_cl0,
% 0.56/1.23 zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl529, plain,
% 0.56/1.23 ((((inverse @ sk_c9) = (sk_c10)) | ((identity) = (sk_c3)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl528])).
% 0.56/1.23 thf(prove_this_39, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c9 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_19, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c9 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_39])).
% 0.56/1.23 thf(zip_derived_cl41, plain,
% 0.56/1.23 ((((inverse @ sk_c9) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.56/1.23 thf(zip_derived_cl539, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c9) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c9) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl529, zip_derived_cl41])).
% 0.56/1.23 thf(zip_derived_cl543, plain,
% 0.56/1.23 ((((inverse @ sk_c9) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c11 @ identity) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl539])).
% 0.56/1.23 thf(zip_derived_cl144, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl704, plain,
% 0.56/1.23 ((((sk_c9) = (multiply @ (inverse @ sk_c10) @ identity))
% 0.56/1.23 | ((multiply @ sk_c11 @ identity) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl543, zip_derived_cl144])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl838, plain,
% 0.56/1.23 ((((sk_c9) = (inverse @ sk_c10)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl704, zip_derived_cl792, zip_derived_cl792])).
% 0.56/1.23 thf(prove_this_60, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c9 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_20, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c9 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_60])).
% 0.56/1.23 thf(zip_derived_cl62, plain,
% 0.56/1.23 ((((multiply @ sk_c9 @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((inverse @ sk_c2) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.56/1.23 thf(zip_derived_cl844, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl792, zip_derived_cl144])).
% 0.56/1.23 thf(zip_derived_cl875, plain,
% 0.56/1.23 ((((sk_c2) = (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ sk_c9 @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl844])).
% 0.56/1.23 thf(prove_this_50, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c9 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 0.56/1.23 thf(zf_stmt_21, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c9 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_50])).
% 0.56/1.23 thf(zip_derived_cl52, plain,
% 0.56/1.23 ((((multiply @ sk_c9 @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.56/1.23 thf(zip_derived_cl1947, plain,
% 0.56/1.23 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c3))
% 0.56/1.23 | ((multiply @ sk_c9 @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c9 @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl875, zip_derived_cl52])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl1971, plain,
% 0.56/1.23 ((((identity) = (sk_c3))
% 0.56/1.23 | ((multiply @ sk_c9 @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c9 @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl1947, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl1972, plain,
% 0.56/1.23 ((((multiply @ sk_c9 @ sk_c11) = (sk_c10)) | ((identity) = (sk_c3)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl1971])).
% 0.56/1.23 thf(prove_this_40, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c9 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 0.56/1.23 thf(zf_stmt_22, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c9 @ sk_c11 ) = ( sk_c10 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_40])).
% 0.56/1.23 thf(zip_derived_cl42, plain,
% 0.56/1.23 ((((multiply @ sk_c9 @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_22])).
% 0.56/1.23 thf(zip_derived_cl1997, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c9 @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c9 @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl1972, zip_derived_cl42])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl2011, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c9 @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ sk_c9 @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl1997, zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl2012, plain,
% 0.56/1.23 ((((multiply @ sk_c9 @ sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl2011])).
% 0.56/1.23 thf(zip_derived_cl2253, plain,
% 0.56/1.23 ((((multiply @ (inverse @ sk_c10) @ sk_c11) = (sk_c10))
% 0.56/1.23 | ((sk_c11) = (sk_c10))
% 0.56/1.23 | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl838, zip_derived_cl2012])).
% 0.56/1.23 thf(zip_derived_cl2254, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ (inverse @ sk_c10) @ sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl2253])).
% 0.56/1.23 thf(zip_derived_cl3674, plain,
% 0.56/1.23 ((((multiply @ (inverse @ (multiply @ sk_c11 @ sk_c11)) @ sk_c11)
% 0.56/1.23 = (sk_c10))
% 0.56/1.23 | ((sk_c11) = (sk_c10))
% 0.56/1.23 | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl3312, zip_derived_cl2254])).
% 0.56/1.23 thf(zip_derived_cl3683, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10))
% 0.56/1.23 | ((multiply @ (inverse @ (multiply @ sk_c11 @ sk_c11)) @ sk_c11)
% 0.56/1.23 = (sk_c10)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl3674])).
% 0.56/1.23 thf(zip_derived_cl4666, plain, (((multiply @ sk_c11 @ sk_c11) = (identity))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4657])).
% 0.56/1.23 thf(zip_derived_cl0, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl143, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl198, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl143, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl1, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.23 thf(zip_derived_cl779, plain, (((inverse @ identity) = (identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl0, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.23 thf(zip_derived_cl4679, plain,
% 0.56/1.23 ((((sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl3683, zip_derived_cl4666, zip_derived_cl779,
% 0.56/1.23 zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl4680, plain, (((sk_c11) = (sk_c10))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4679])).
% 0.56/1.23 thf(zip_derived_cl4737, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/1.23 X7 : $i, X8 : $i]:
% 0.56/1.23 (((multiply @ X0 @ sk_c11) != (inverse @ sk_c11))
% 0.56/1.23 | ((inverse @ X0) != (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ X1 @ sk_c11) != (inverse @ sk_c11))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ X3 @ (inverse @ sk_c11)) != (sk_c11))
% 0.56/1.23 | ((inverse @ X3) != (sk_c11))
% 0.56/1.23 | ((multiply @ X4 @ (inverse @ sk_c11)) != (sk_c11))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (sk_c11))
% 0.56/1.23 | ((inverse @ X6) != (sk_c11))
% 0.56/1.23 | ((multiply @ X6 @ sk_c11) != (X7))
% 0.56/1.23 | ((multiply @ sk_c11 @ X7) != (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ X8 @ (inverse @ sk_c11)) != (sk_c11))
% 0.56/1.23 | ((inverse @ X8) != (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) != (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl4680])).
% 0.56/1.23 thf(zip_derived_cl4738, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/1.23 X7 : $i, X8 : $i]:
% 0.56/1.23 (((multiply @ X0 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X0) != (sk_c11))
% 0.56/1.23 | ((multiply @ X1 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (sk_c11))
% 0.56/1.23 | ((multiply @ X3 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X3) != (sk_c11))
% 0.56/1.23 | ((multiply @ X4 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (sk_c11))
% 0.56/1.23 | ((inverse @ X6) != (sk_c11))
% 0.56/1.23 | ((multiply @ X6 @ sk_c11) != (X7))
% 0.56/1.23 | ((multiply @ sk_c11 @ X7) != (sk_c11))
% 0.56/1.23 | ((multiply @ X8 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X8) != (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c11) != (sk_c11)))),
% 0.56/1.23 inference('local_rewriting', [status(thm)], [zip_derived_cl4737])).
% 0.56/1.23 thf(zip_derived_cl4948, plain, (((sk_c11) = (inverse @ sk_c11))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4687, zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl4963, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/1.23 X7 : $i, X8 : $i]:
% 0.56/1.23 (((multiply @ X0 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X0) != (sk_c11))
% 0.56/1.23 | ((multiply @ X1 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (sk_c11))
% 0.56/1.23 | ((multiply @ X3 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X3) != (sk_c11))
% 0.56/1.23 | ((multiply @ X4 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (sk_c11))
% 0.56/1.23 | ((inverse @ X6) != (sk_c11))
% 0.56/1.23 | ((multiply @ X6 @ sk_c11) != (X7))
% 0.56/1.23 | ((multiply @ sk_c11 @ X7) != (sk_c11))
% 0.56/1.23 | ((multiply @ X8 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X8) != (sk_c11))
% 0.56/1.23 | ((sk_c11) != (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl4738, zip_derived_cl4948])).
% 0.56/1.23 thf(zip_derived_cl4964, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.56/1.23 X7 : $i, X8 : $i]:
% 0.56/1.23 (((inverse @ X8) != (sk_c11))
% 0.56/1.23 | ((multiply @ X8 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c11 @ X7) != (sk_c11))
% 0.56/1.23 | ((multiply @ X6 @ sk_c11) != (X7))
% 0.56/1.23 | ((inverse @ X6) != (sk_c11))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (sk_c11))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X4 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X3) != (sk_c11))
% 0.56/1.23 | ((multiply @ X3 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (sk_c11))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X1 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X0) != (sk_c11))
% 0.56/1.23 | ((multiply @ X0 @ sk_c11) != (sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4963])).
% 0.56/1.23 thf(zip_derived_cl5123, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.56/1.23 (((sk_c11) != (sk_c11))
% 0.56/1.23 | ((multiply @ X0 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X0) != (sk_c11))
% 0.56/1.23 | ((multiply @ X1 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (sk_c11))
% 0.56/1.23 | ((multiply @ X3 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X3) != (sk_c11))
% 0.56/1.23 | ((multiply @ X4 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (sk_c11))
% 0.56/1.23 | ((inverse @ X6) != (sk_c11))
% 0.56/1.23 | ((multiply @ X6 @ sk_c11) != (X7))
% 0.56/1.23 | ((multiply @ sk_c11 @ X7) != (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c11 @ sk_c11) != (sk_c11)))),
% 0.56/1.23 inference('sup-', [status(thm)], [zip_derived_cl4948, zip_derived_cl4964])).
% 0.56/1.23 thf(zip_derived_cl4666, plain, (((multiply @ sk_c11 @ sk_c11) = (identity))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4657])).
% 0.56/1.23 thf(zip_derived_cl5134, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.56/1.23 (((sk_c11) != (sk_c11))
% 0.56/1.23 | ((multiply @ X0 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X0) != (sk_c11))
% 0.56/1.23 | ((multiply @ X1 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (sk_c11))
% 0.56/1.23 | ((multiply @ X3 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X3) != (sk_c11))
% 0.56/1.23 | ((multiply @ X4 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (sk_c11))
% 0.56/1.23 | ((inverse @ X6) != (sk_c11))
% 0.56/1.23 | ((multiply @ X6 @ sk_c11) != (X7))
% 0.56/1.23 | ((multiply @ sk_c11 @ X7) != (sk_c11))
% 0.56/1.23 | ((identity) != (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl5123, zip_derived_cl4666])).
% 0.56/1.23 thf(zip_derived_cl5135, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.56/1.23 (((identity) != (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c11 @ X7) != (sk_c11))
% 0.56/1.23 | ((multiply @ X6 @ sk_c11) != (X7))
% 0.56/1.23 | ((inverse @ X6) != (sk_c11))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (sk_c11))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X4 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X3) != (sk_c11))
% 0.56/1.23 | ((multiply @ X3 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (sk_c11))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X1 @ sk_c11) != (sk_c11))
% 0.56/1.23 | ((inverse @ X0) != (sk_c11))
% 0.56/1.23 | ((multiply @ X0 @ sk_c11) != (sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl5134])).
% 0.56/1.23 thf(zip_derived_cl5136, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.56/1.23 (((identity) != (sk_c11))
% 0.56/1.23 | ((multiply @ identity @ X7) != (identity))
% 0.56/1.23 | ((multiply @ X6 @ identity) != (X7))
% 0.56/1.23 | ((inverse @ X6) != (identity))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (identity))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X4 @ identity) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((multiply @ X3 @ identity) != (identity))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X1 @ identity) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((multiply @ X0 @ identity) != (identity)))),
% 0.56/1.23 inference('local_rewriting', [status(thm)], [zip_derived_cl5135])).
% 0.56/1.23 thf(zip_derived_cl0, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.23 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl5147, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.56/1.23 (((identity) != (sk_c11))
% 0.56/1.23 | ((X7) != (identity))
% 0.56/1.23 | ((X6) != (X7))
% 0.56/1.23 | ((inverse @ X6) != (identity))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (identity))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((X4) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((X3) != (identity))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X0) != (identity)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl5136, zip_derived_cl0, zip_derived_cl792,
% 0.56/1.23 zip_derived_cl792, zip_derived_cl792, zip_derived_cl792,
% 0.56/1.23 zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl5148, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((X3) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((X4) != (identity))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (identity))
% 0.56/1.23 | ((inverse @ X6) != (identity))
% 0.56/1.23 | ((X6) != (identity))
% 0.56/1.23 | ((identity) != (sk_c11)))),
% 0.56/1.23 inference('eq_res', [status(thm)], [zip_derived_cl5147])).
% 0.56/1.23 thf(prove_this_12, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_23, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.56/1.23 thf(zip_derived_cl14, plain,
% 0.56/1.23 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_23])).
% 0.56/1.23 thf(prove_this_22, conjecture,
% 0.56/1.23 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_24, negated_conjecture,
% 0.56/1.23 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.56/1.23 thf(zip_derived_cl24, plain,
% 0.56/1.23 ((((inverse @ sk_c4) = (sk_c5))
% 0.56/1.23 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_24])).
% 0.56/1.23 thf(zip_derived_cl128, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 0.56/1.23 thf(zip_derived_cl166, plain,
% 0.56/1.23 ((((sk_c10) = (multiply @ (inverse @ sk_c1) @ sk_c11))
% 0.56/1.23 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl128])).
% 0.56/1.23 thf(zip_derived_cl2620, plain,
% 0.56/1.23 ((((sk_c10) = (multiply @ sk_c11 @ sk_c11))
% 0.56/1.23 | ((inverse @ sk_c4) = (sk_c5))
% 0.56/1.23 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl166])).
% 0.56/1.23 thf(zip_derived_cl2639, plain,
% 0.56/1.23 ((((inverse @ sk_c4) = (sk_c5))
% 0.56/1.23 | ((sk_c10) = (multiply @ sk_c11 @ sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl2620])).
% 0.56/1.23 thf(zip_derived_cl4666, plain, (((multiply @ sk_c11 @ sk_c11) = (identity))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4657])).
% 0.56/1.23 thf(zip_derived_cl4674, plain,
% 0.56/1.23 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c10) = (identity)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl2639, zip_derived_cl4666])).
% 0.56/1.23 thf(zip_derived_cl4680, plain, (((sk_c11) = (sk_c10))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4679])).
% 0.56/1.23 thf(zip_derived_cl4819, plain,
% 0.56/1.23 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c11) = (identity)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl4674, zip_derived_cl4680])).
% 0.56/1.23 thf(prove_this_11, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_25, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.56/1.23 thf(zip_derived_cl13, plain,
% 0.56/1.23 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 0.56/1.23 | ((inverse @ sk_c1) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_25])).
% 0.56/1.23 thf(zip_derived_cl844, plain,
% 0.56/1.23 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl792, zip_derived_cl144])).
% 0.56/1.23 thf(zip_derived_cl856, plain,
% 0.56/1.23 ((((sk_c1) = (inverse @ sk_c11))
% 0.56/1.23 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl844])).
% 0.56/1.23 thf(zip_derived_cl4948, plain, (((sk_c11) = (inverse @ sk_c11))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4687, zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl4959, plain,
% 0.56/1.23 ((((sk_c1) = (sk_c11)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl856, zip_derived_cl4948])).
% 0.56/1.23 thf(prove_this_21, conjecture,
% 0.56/1.23 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 0.56/1.23 thf(zf_stmt_26, negated_conjecture,
% 0.56/1.23 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 0.56/1.23 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 0.56/1.23 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 0.56/1.23 thf(zip_derived_cl23, plain,
% 0.56/1.23 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 0.56/1.23 inference('cnf', [status(esa)], [zf_stmt_26])).
% 0.56/1.23 thf(zip_derived_cl4680, plain, (((sk_c11) = (sk_c10))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4679])).
% 0.56/1.23 thf(zip_derived_cl4705, plain,
% 0.56/1.23 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c1 @ sk_c11) = (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl4680])).
% 0.56/1.23 thf(zip_derived_cl7143, plain,
% 0.56/1.23 ((((multiply @ sk_c11 @ sk_c11) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4959, zip_derived_cl4705])).
% 0.56/1.23 thf(zip_derived_cl4666, plain, (((multiply @ sk_c11 @ sk_c11) = (identity))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl4657])).
% 0.56/1.23 thf(zip_derived_cl7153, plain,
% 0.56/1.23 ((((identity) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 0.56/1.23 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl7143, zip_derived_cl4666])).
% 0.56/1.23 thf(zip_derived_cl7154, plain,
% 0.56/1.23 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11)) | ((identity) = (sk_c11)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl7153])).
% 0.56/1.23 thf(zip_derived_cl7164, plain,
% 0.56/1.23 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c11))
% 0.56/1.23 | ((sk_c11) = (identity))
% 0.56/1.23 | ((identity) = (sk_c11)))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl4819, zip_derived_cl7154])).
% 0.56/1.23 thf(zip_derived_cl849, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl844, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl7165, plain,
% 0.56/1.23 ((((identity) = (sk_c11))
% 0.56/1.23 | ((sk_c11) = (identity))
% 0.56/1.23 | ((identity) = (sk_c11)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl7164, zip_derived_cl849])).
% 0.56/1.23 thf(zip_derived_cl7166, plain, (((identity) = (sk_c11))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl7165])).
% 0.56/1.23 thf(zip_derived_cl7258, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((X3) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((X4) != (identity))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (identity))
% 0.56/1.23 | ((inverse @ X6) != (identity))
% 0.56/1.23 | ((X6) != (identity))
% 0.56/1.23 | ((identity) != (identity)))),
% 0.56/1.23 inference('demod', [status(thm)],
% 0.56/1.23 [zip_derived_cl5148, zip_derived_cl7166])).
% 0.56/1.23 thf(zip_derived_cl7259, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.56/1.23 (((X6) != (identity))
% 0.56/1.23 | ((inverse @ X6) != (identity))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (identity))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((X4) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((X3) != (identity))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X0) != (identity)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl7258])).
% 0.56/1.23 thf(zip_derived_cl7274, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((X3) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((X4) != (identity))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (identity))
% 0.56/1.23 | ((inverse @ identity) != (identity)))),
% 0.56/1.23 inference('eq_res', [status(thm)], [zip_derived_cl7259])).
% 0.56/1.23 thf(zip_derived_cl779, plain, (((inverse @ identity) = (identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl7275, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((X3) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((X4) != (identity))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((multiply @ X5 @ X4) != (identity))
% 0.56/1.23 | ((identity) != (identity)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl7274, zip_derived_cl779])).
% 0.56/1.23 thf(zip_derived_cl7276, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.56/1.23 (((multiply @ X5 @ X4) != (identity))
% 0.56/1.23 | ((inverse @ X5) != (X4))
% 0.56/1.23 | ((X4) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((X3) != (identity))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X0) != (identity)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl7275])).
% 0.56/1.23 thf(zip_derived_cl7277, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((X3) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((inverse @ X4) != (identity))
% 0.56/1.23 | ((multiply @ X4 @ identity) != (identity)))),
% 0.56/1.23 inference('eq_res', [status(thm)], [zip_derived_cl7276])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl7278, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (X1))
% 0.56/1.23 | ((multiply @ X2 @ X1) != (identity))
% 0.56/1.23 | ((X3) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (identity))
% 0.56/1.23 | ((inverse @ X4) != (identity))
% 0.56/1.23 | ((X4) != (identity)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl7277, zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl7279, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((inverse @ X1) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((multiply @ X3 @ X2) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (X2))
% 0.56/1.23 | ((X2) != (identity))
% 0.56/1.23 | ((inverse @ identity) != (identity)))),
% 0.56/1.23 inference('eq_res', [status(thm)], [zip_derived_cl7278])).
% 0.56/1.23 thf(zip_derived_cl779, plain, (((inverse @ identity) = (identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl7280, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((inverse @ X1) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((multiply @ X3 @ X2) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (X2))
% 0.56/1.23 | ((X2) != (identity))
% 0.56/1.23 | ((identity) != (identity)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl7279, zip_derived_cl779])).
% 0.56/1.23 thf(zip_derived_cl7281, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.23 (((X2) != (identity))
% 0.56/1.23 | ((inverse @ X3) != (X2))
% 0.56/1.23 | ((multiply @ X3 @ X2) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X1) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((X0) != (identity)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl7280])).
% 0.56/1.23 thf(zip_derived_cl7282, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((inverse @ X1) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((multiply @ X2 @ identity) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (identity)))),
% 0.56/1.23 inference('eq_res', [status(thm)], [zip_derived_cl7281])).
% 0.56/1.23 thf(zip_derived_cl792, plain,
% 0.56/1.23 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl141])).
% 0.56/1.23 thf(zip_derived_cl7283, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.23 (((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity))
% 0.56/1.23 | ((inverse @ X1) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((X2) != (identity))
% 0.56/1.23 | ((inverse @ X2) != (identity)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl7282, zip_derived_cl792])).
% 0.56/1.23 thf(zip_derived_cl7284, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 (((inverse @ X0) != (identity))
% 0.56/1.23 | ((X0) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X1) != (identity))
% 0.56/1.23 | ((inverse @ identity) != (identity)))),
% 0.56/1.23 inference('eq_res', [status(thm)], [zip_derived_cl7283])).
% 0.56/1.23 thf(zip_derived_cl779, plain, (((inverse @ identity) = (identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl7285, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 (((inverse @ X0) != (identity))
% 0.56/1.23 | ((X0) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((inverse @ X1) != (identity))
% 0.56/1.23 | ((identity) != (identity)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl7284, zip_derived_cl779])).
% 0.56/1.23 thf(zip_derived_cl7286, plain,
% 0.56/1.23 (![X0 : $i, X1 : $i]:
% 0.56/1.23 (((inverse @ X1) != (identity))
% 0.56/1.23 | ((X1) != (identity))
% 0.56/1.23 | ((X0) != (identity))
% 0.56/1.23 | ((inverse @ X0) != (identity)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl7285])).
% 0.56/1.23 thf(zip_derived_cl7307, plain,
% 0.56/1.23 (![X0 : $i]:
% 0.56/1.23 (((inverse @ X0) != (identity))
% 0.56/1.23 | ((X0) != (identity))
% 0.56/1.23 | ((inverse @ identity) != (identity)))),
% 0.56/1.23 inference('eq_res', [status(thm)], [zip_derived_cl7286])).
% 0.56/1.23 thf(zip_derived_cl779, plain, (((inverse @ identity) = (identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl7308, plain,
% 0.56/1.23 (![X0 : $i]:
% 0.56/1.23 (((inverse @ X0) != (identity))
% 0.56/1.23 | ((X0) != (identity))
% 0.56/1.23 | ((identity) != (identity)))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl7307, zip_derived_cl779])).
% 0.56/1.23 thf(zip_derived_cl7309, plain,
% 0.56/1.23 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl7308])).
% 0.56/1.23 thf(zip_derived_cl7310, plain, (((inverse @ identity) != (identity))),
% 0.56/1.23 inference('eq_res', [status(thm)], [zip_derived_cl7309])).
% 0.56/1.23 thf(zip_derived_cl779, plain, (((inverse @ identity) = (identity))),
% 0.56/1.23 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl1])).
% 0.56/1.23 thf(zip_derived_cl7311, plain, (((identity) != (identity))),
% 0.56/1.23 inference('demod', [status(thm)], [zip_derived_cl7310, zip_derived_cl779])).
% 0.56/1.23 thf(zip_derived_cl7312, plain, ($false),
% 0.56/1.23 inference('simplify', [status(thm)], [zip_derived_cl7311])).
% 0.56/1.23
% 0.56/1.23 % SZS output end Refutation
% 0.56/1.23
% 0.56/1.23
% 0.56/1.23 % Terminating...
% 4.71/1.28 % Runner terminated.
% 4.71/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------