TSTP Solution File: GRP375-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP375-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BB5hbNI0NX true
% Computer : n018.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 01:51:24 EDT 2023
% Result : Unsatisfiable 36.87s 5.89s
% Output : Refutation 36.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP375-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BB5hbNI0NX true
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:07:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 36.87/5.89 % Solved by fo/fo7.sh.
% 36.87/5.89 % done 7945 iterations in 5.120s
% 36.87/5.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 36.87/5.89 % SZS output start Refutation
% 36.87/5.89 thf(sk_c7_type, type, sk_c7: $i).
% 36.87/5.89 thf(sk_c2_type, type, sk_c2: $i).
% 36.87/5.89 thf(sk_c5_type, type, sk_c5: $i).
% 36.87/5.89 thf(sk_c4_type, type, sk_c4: $i).
% 36.87/5.89 thf(sk_c8_type, type, sk_c8: $i).
% 36.87/5.89 thf(identity_type, type, identity: $i).
% 36.87/5.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 36.87/5.89 thf(sk_c9_type, type, sk_c9: $i).
% 36.87/5.89 thf(inverse_type, type, inverse: $i > $i).
% 36.87/5.89 thf(sk_c3_type, type, sk_c3: $i).
% 36.87/5.89 thf(sk_c1_type, type, sk_c1: $i).
% 36.87/5.89 thf(sk_c6_type, type, sk_c6: $i).
% 36.87/5.89 thf(sk_c10_type, type, sk_c10: $i).
% 36.87/5.89 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 36.87/5.89 thf(zip_derived_cl0, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_identity])).
% 36.87/5.89 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(associativity, axiom,
% 36.87/5.89 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 36.87/5.89 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 36.87/5.89 thf(zip_derived_cl2, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.87/5.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 36.87/5.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 36.87/5.89 inference('cnf', [status(esa)], [associativity])).
% 36.87/5.89 thf(zip_derived_cl103, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((multiply @ identity @ X0)
% 36.87/5.89 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 36.87/5.89 thf(zip_derived_cl0, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_identity])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl147, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl195, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl147, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(prove_this_41, conjecture,
% 36.87/5.89 (~( ( ( multiply @ X6 @ X5 ) != ( X7 ) ) |
% 36.87/5.89 ( ( inverse @ X7 ) != ( X5 ) ) | ( ( inverse @ X6 ) != ( X7 ) ) |
% 36.87/5.89 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c10 ) ) |
% 36.87/5.89 ( ( inverse @ X4 ) != ( X5 ) ) |
% 36.87/5.89 ( ( multiply @ X4 @ X5 ) != ( sk_c10 ) ) |
% 36.87/5.89 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 36.87/5.89 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 36.87/5.89 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 36.87/5.89 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c8 @ sk_c10 ) != ( sk_c9 ) ) |
% 36.87/5.89 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 36.87/5.89 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c10 ) != ( sk_c9 ) ) ))).
% 36.87/5.89 thf(zf_stmt_0, negated_conjecture,
% 36.87/5.89 (( ( multiply @ X6 @ X5 ) != ( X7 ) ) | ( ( inverse @ X7 ) != ( X5 ) ) |
% 36.87/5.89 ( ( inverse @ X6 ) != ( X7 ) ) |
% 36.87/5.89 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c10 ) ) |
% 36.87/5.89 ( ( inverse @ X4 ) != ( X5 ) ) |
% 36.87/5.89 ( ( multiply @ X4 @ X5 ) != ( sk_c10 ) ) |
% 36.87/5.89 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 36.87/5.89 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c8 ) ) |
% 36.87/5.89 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 36.87/5.89 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c8 @ sk_c10 ) != ( sk_c9 ) ) |
% 36.87/5.89 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 36.87/5.89 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c10 ) != ( sk_c9 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 36.87/5.89 thf(zip_derived_cl43, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((multiply @ X1 @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (sk_c10))
% 36.87/5.89 | ((inverse @ X4) != (sk_c9))
% 36.87/5.89 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 36.87/5.89 | ((inverse @ X5) != (sk_c10))
% 36.87/5.89 | ((multiply @ X5 @ sk_c10) != (sk_c9))
% 36.87/5.89 | ((multiply @ sk_c8 @ sk_c10) != (sk_c9))
% 36.87/5.89 | ((inverse @ X6) != (sk_c10))
% 36.87/5.89 | ((multiply @ X6 @ sk_c10) != (sk_c9))
% 36.87/5.89 | ((inverse @ sk_c10) != (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 36.87/5.89 thf(zip_derived_cl44, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((multiply @ X1 @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((multiply @ X2 @ (inverse @ sk_c10)) != (sk_c10))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (sk_c10))
% 36.87/5.89 | ((inverse @ X4) != (inverse @ sk_c10))
% 36.87/5.89 | ((multiply @ X4 @ (inverse @ sk_c10)) != (sk_c8))
% 36.87/5.89 | ((inverse @ X5) != (sk_c10))
% 36.87/5.89 | ((multiply @ X5 @ sk_c10) != (inverse @ sk_c10))
% 36.87/5.89 | ((multiply @ sk_c8 @ sk_c10) != (inverse @ sk_c10))
% 36.87/5.89 | ((inverse @ X6) != (sk_c10))
% 36.87/5.89 | ((multiply @ X6 @ sk_c10) != (inverse @ sk_c10))
% 36.87/5.89 | ((inverse @ sk_c10) != (sk_c9)))),
% 36.87/5.89 inference('local_rewriting', [status(thm)], [zip_derived_cl43])).
% 36.87/5.89 thf(prove_this_22, conjecture,
% 36.87/5.89 (~( ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 36.87/5.89 thf(zf_stmt_1, negated_conjecture,
% 36.87/5.89 (( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 36.87/5.89 thf(zip_derived_cl24, plain,
% 36.87/5.89 ((((inverse @ sk_c2) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl56, plain,
% 36.87/5.89 ((((multiply @ sk_c10 @ sk_c1) = (identity))
% 36.87/5.89 | ((inverse @ sk_c2) = (sk_c10)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl153, plain,
% 36.87/5.89 ((((sk_c1) = (multiply @ (inverse @ sk_c10) @ identity))
% 36.87/5.89 | ((inverse @ sk_c2) = (sk_c10)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl132])).
% 36.87/5.89 thf(prove_this_12, conjecture,
% 36.87/5.89 (~( ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 36.87/5.89 thf(zf_stmt_2, negated_conjecture,
% 36.87/5.89 (( ( inverse @ sk_c2 ) = ( sk_c10 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 36.87/5.89 thf(zip_derived_cl14, plain,
% 36.87/5.89 ((((inverse @ sk_c2) = (sk_c10))
% 36.87/5.89 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 36.87/5.89 thf(zip_derived_cl467, plain,
% 36.87/5.89 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 36.87/5.89 = (sk_c9))
% 36.87/5.89 | ((inverse @ sk_c2) = (sk_c10))
% 36.87/5.89 | ((inverse @ sk_c2) = (sk_c10)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl14])).
% 36.87/5.89 thf(zip_derived_cl2, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.87/5.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 36.87/5.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 36.87/5.89 inference('cnf', [status(esa)], [associativity])).
% 36.87/5.89 thf(zip_derived_cl0, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_identity])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl494, plain,
% 36.87/5.89 ((((identity) = (sk_c9))
% 36.87/5.89 | ((inverse @ sk_c2) = (sk_c10))
% 36.87/5.89 | ((inverse @ sk_c2) = (sk_c10)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl467, zip_derived_cl2, zip_derived_cl0,
% 36.87/5.89 zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl495, plain,
% 36.87/5.89 ((((inverse @ sk_c2) = (sk_c10)) | ((identity) = (sk_c9)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl494])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl506, plain,
% 36.87/5.89 ((((multiply @ sk_c10 @ sk_c2) = (identity)) | ((identity) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl495, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl591, plain,
% 36.87/5.89 ((((sk_c2) = (multiply @ (inverse @ sk_c10) @ identity))
% 36.87/5.89 | ((identity) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl506, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl148, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl145, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl878, plain,
% 36.87/5.89 ((((sk_c2) = (inverse @ sk_c10)) | ((identity) = (sk_c9)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl591, zip_derived_cl837])).
% 36.87/5.89 thf(prove_this_21, conjecture,
% 36.87/5.89 (~( ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 36.87/5.89 thf(zf_stmt_3, negated_conjecture,
% 36.87/5.89 (( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 36.87/5.89 thf(zip_derived_cl23, plain,
% 36.87/5.89 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((inverse @ sk_c1) = (sk_c10)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl148, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl888, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl837, zip_derived_cl148])).
% 36.87/5.89 thf(zip_derived_cl1166, plain,
% 36.87/5.89 ((((sk_c1) = (inverse @ sk_c10))
% 36.87/5.89 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl888])).
% 36.87/5.89 thf(prove_this_11, conjecture,
% 36.87/5.89 (~( ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 36.87/5.89 thf(zf_stmt_4, negated_conjecture,
% 36.87/5.89 (( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 36.87/5.89 thf(zip_derived_cl13, plain,
% 36.87/5.89 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 36.87/5.89 thf(zip_derived_cl1459, plain,
% 36.87/5.89 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl1166, zip_derived_cl13])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl1486, plain,
% 36.87/5.89 ((((identity) = (sk_c9))
% 36.87/5.89 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl1459, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl1487, plain,
% 36.87/5.89 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9)) | ((identity) = (sk_c9)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1486])).
% 36.87/5.89 thf(zip_derived_cl1726, plain,
% 36.87/5.89 ((((multiply @ (inverse @ sk_c10) @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((identity) = (sk_c9))
% 36.87/5.89 | ((identity) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl878, zip_derived_cl1487])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl1729, plain,
% 36.87/5.89 ((((identity) = (sk_c9))
% 36.87/5.89 | ((identity) = (sk_c9))
% 36.87/5.89 | ((identity) = (sk_c9)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl1726, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl1730, plain, (((identity) = (sk_c9))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1729])).
% 36.87/5.89 thf(zip_derived_cl1764, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((multiply @ X1 @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((multiply @ X2 @ (inverse @ sk_c10)) != (sk_c10))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (sk_c10))
% 36.87/5.89 | ((inverse @ X4) != (inverse @ sk_c10))
% 36.87/5.89 | ((multiply @ X4 @ (inverse @ sk_c10)) != (sk_c8))
% 36.87/5.89 | ((inverse @ X5) != (sk_c10))
% 36.87/5.89 | ((multiply @ X5 @ sk_c10) != (inverse @ sk_c10))
% 36.87/5.89 | ((multiply @ sk_c8 @ sk_c10) != (inverse @ sk_c10))
% 36.87/5.89 | ((inverse @ X6) != (sk_c10))
% 36.87/5.89 | ((multiply @ X6 @ sk_c10) != (inverse @ sk_c10))
% 36.87/5.89 | ((inverse @ sk_c10) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl1730])).
% 36.87/5.89 thf(zip_derived_cl1765, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((multiply @ X1 @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((multiply @ X2 @ identity) != (sk_c10))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (sk_c10))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((multiply @ X4 @ identity) != (sk_c8))
% 36.87/5.89 | ((inverse @ X5) != (sk_c10))
% 36.87/5.89 | ((multiply @ X5 @ sk_c10) != (identity))
% 36.87/5.89 | ((multiply @ sk_c8 @ sk_c10) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (sk_c10))
% 36.87/5.89 | ((multiply @ X6 @ sk_c10) != (identity))
% 36.87/5.89 | ((inverse @ sk_c10) != (identity)))),
% 36.87/5.89 inference('local_rewriting', [status(thm)], [zip_derived_cl1764])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl1766, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((multiply @ X1 @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((X2) != (sk_c10))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (sk_c10))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((X4) != (sk_c8))
% 36.87/5.89 | ((inverse @ X5) != (sk_c10))
% 36.87/5.89 | ((multiply @ X5 @ sk_c10) != (identity))
% 36.87/5.89 | ((multiply @ sk_c8 @ sk_c10) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (sk_c10))
% 36.87/5.89 | ((multiply @ X6 @ sk_c10) != (identity))
% 36.87/5.89 | ((inverse @ sk_c10) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl1765, zip_derived_cl837, zip_derived_cl837])).
% 36.87/5.89 thf(prove_this_8, conjecture,
% 36.87/5.89 (~( ( ( inverse @ sk_c6 ) = ( sk_c5 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 36.87/5.89 thf(zf_stmt_5, negated_conjecture,
% 36.87/5.89 (( ( inverse @ sk_c6 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 36.87/5.89 thf(zip_derived_cl10, plain,
% 36.87/5.89 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 36.87/5.89 thf(prove_this_9, conjecture,
% 36.87/5.89 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 36.87/5.89 thf(zf_stmt_6, negated_conjecture,
% 36.87/5.89 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 36.87/5.89 thf(zip_derived_cl11, plain,
% 36.87/5.89 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 36.87/5.89 thf(zip_derived_cl48, plain,
% 36.87/5.89 ((((inverse @ (inverse @ sk_c6)) = (sk_c7))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl11])).
% 36.87/5.89 thf(zip_derived_cl49, plain,
% 36.87/5.89 ((((inverse @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((inverse @ (inverse @ sk_c6)) = (sk_c7)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 36.87/5.89 thf(zip_derived_cl148, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl647, plain,
% 36.87/5.89 ((((sk_c6) = (multiply @ sk_c7 @ identity))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl148])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl880, plain,
% 36.87/5.89 ((((sk_c6) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl647, zip_derived_cl837])).
% 36.87/5.89 thf(prove_this_6, conjecture,
% 36.87/5.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 36.87/5.89 thf(zf_stmt_7, negated_conjecture,
% 36.87/5.89 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 36.87/5.89 thf(zip_derived_cl8, plain,
% 36.87/5.89 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 36.87/5.89 thf(zip_derived_cl11, plain,
% 36.87/5.89 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl47, plain,
% 36.87/5.89 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl87, plain,
% 36.87/5.89 ((((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl47])).
% 36.87/5.89 thf(zip_derived_cl91, plain,
% 36.87/5.89 ((((inverse @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((multiply @ (inverse @ sk_c4) @ sk_c5) = (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl87])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl735, plain,
% 36.87/5.89 ((((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c4)) @ identity))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl148, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl748, plain,
% 36.87/5.89 ((((sk_c5) = (sk_c4)) | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl735, zip_derived_cl148])).
% 36.87/5.89 thf(zip_derived_cl10, plain,
% 36.87/5.89 ((((inverse @ sk_c6) = (sk_c5)) | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 36.87/5.89 thf(zip_derived_cl749, plain,
% 36.87/5.89 ((((inverse @ sk_c6) = (sk_c4))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl748, zip_derived_cl10])).
% 36.87/5.89 thf(zip_derived_cl763, plain,
% 36.87/5.89 ((((inverse @ sk_c10) = (sk_c9)) | ((inverse @ sk_c6) = (sk_c4)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl749])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl769, plain,
% 36.87/5.89 ((((multiply @ sk_c4 @ sk_c6) = (identity))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl763, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl1024, plain,
% 36.87/5.89 ((((multiply @ sk_c4 @ sk_c7) = (identity))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl880, zip_derived_cl769])).
% 36.87/5.89 thf(zip_derived_cl1030, plain,
% 36.87/5.89 ((((inverse @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((multiply @ sk_c4 @ sk_c7) = (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1024])).
% 36.87/5.89 thf(prove_this_5, conjecture,
% 36.87/5.89 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c10 ) = ( sk_c9 ) ) ))).
% 36.87/5.89 thf(zf_stmt_8, negated_conjecture,
% 36.87/5.89 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c10 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c10 ) = ( sk_c9 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 36.87/5.89 thf(zip_derived_cl7, plain,
% 36.87/5.89 ((((multiply @ sk_c4 @ sk_c7) = (sk_c10))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 36.87/5.89 thf(zip_derived_cl1440, plain,
% 36.87/5.89 ((((identity) = (sk_c10))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9))
% 36.87/5.89 | ((inverse @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl1030, zip_derived_cl7])).
% 36.87/5.89 thf(zip_derived_cl1449, plain,
% 36.87/5.89 ((((inverse @ sk_c10) = (sk_c9)) | ((identity) = (sk_c10)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1440])).
% 36.87/5.89 thf(zip_derived_cl1730, plain, (((identity) = (sk_c9))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1729])).
% 36.87/5.89 thf(zip_derived_cl1795, plain,
% 36.87/5.89 ((((inverse @ sk_c10) = (identity)) | ((identity) = (sk_c10)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl1449, zip_derived_cl1730])).
% 36.87/5.89 thf(zip_derived_cl888, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl837, zip_derived_cl148])).
% 36.87/5.89 thf(zip_derived_cl1927, plain,
% 36.87/5.89 ((((sk_c10) = (inverse @ identity)) | ((identity) = (sk_c10)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl1795, zip_derived_cl888])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl1931, plain,
% 36.87/5.89 ((((sk_c10) = (identity)) | ((identity) = (sk_c10)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl1927, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl1958, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((multiply @ X1 @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((X4) != (sk_c8))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((sk_c8) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (identity))
% 36.87/5.89 | ((X6) != (identity))
% 36.87/5.89 | ((identity) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl1766, zip_derived_cl1932, zip_derived_cl1932,
% 36.87/5.89 zip_derived_cl1932, zip_derived_cl1932, zip_derived_cl837,
% 36.87/5.89 zip_derived_cl1932, zip_derived_cl837, zip_derived_cl1932,
% 36.87/5.89 zip_derived_cl1932, zip_derived_cl837, zip_derived_cl1932,
% 36.87/5.89 zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl1959, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((X6) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (identity))
% 36.87/5.89 | ((sk_c8) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X4) != (sk_c8))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((multiply @ X1 @ X2) != (X0)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1958])).
% 36.87/5.89 thf(zip_derived_cl1960, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((X6) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (identity))
% 36.87/5.89 | ((sk_c8) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((multiply @ X1 @ X2) != (X0)))),
% 36.87/5.89 inference('local_rewriting', [status(thm)], [zip_derived_cl1959])).
% 36.87/5.89 thf(prove_this_33, conjecture,
% 36.87/5.89 (~( ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c8 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 36.87/5.89 thf(zf_stmt_9, negated_conjecture,
% 36.87/5.89 (( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c8 @ sk_c10 ) = ( sk_c9 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 36.87/5.89 thf(zip_derived_cl35, plain,
% 36.87/5.89 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 36.87/5.89 | ((multiply @ sk_c8 @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_9])).
% 36.87/5.89 thf(zip_derived_cl1730, plain, (((identity) = (sk_c9))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1729])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl1730, plain, (((identity) = (sk_c9))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1729])).
% 36.87/5.89 thf(zip_derived_cl1758, plain,
% 36.87/5.89 ((((sk_c3) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c10) = (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl35, zip_derived_cl1730, zip_derived_cl837,
% 36.87/5.89 zip_derived_cl1730])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl2259, plain,
% 36.87/5.89 ((((sk_c3) = (sk_c8)) | ((sk_c8) = (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl1758, zip_derived_cl1932, zip_derived_cl837])).
% 36.87/5.89 thf(prove_this_24, conjecture,
% 36.87/5.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 36.87/5.89 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 36.87/5.89 thf(zf_stmt_10, negated_conjecture,
% 36.87/5.89 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 36.87/5.89 thf(zip_derived_cl26, plain,
% 36.87/5.89 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 36.87/5.89 thf(zip_derived_cl1730, plain, (((identity) = (sk_c9))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1729])).
% 36.87/5.89 thf(zip_derived_cl1754, plain,
% 36.87/5.89 ((((inverse @ sk_c3) = (identity)) | ((inverse @ sk_c1) = (sk_c10)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl1730])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl2110, plain,
% 36.87/5.89 ((((inverse @ sk_c3) = (identity)) | ((inverse @ sk_c1) = (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl1754, zip_derived_cl1932])).
% 36.87/5.89 thf(zip_derived_cl888, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl837, zip_derived_cl148])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl1148, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl888, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl2686, plain,
% 36.87/5.89 (![X0 : $i]:
% 36.87/5.89 (((X0) = (multiply @ sk_c1 @ (multiply @ identity @ X0)))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl2110, zip_derived_cl1148])).
% 36.87/5.89 thf(zip_derived_cl0, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_identity])).
% 36.87/5.89 thf(zip_derived_cl2700, plain,
% 36.87/5.89 (![X0 : $i]:
% 36.87/5.89 (((X0) = (multiply @ sk_c1 @ X0)) | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl2686, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl2842, plain,
% 36.87/5.89 (![X0 : $i]:
% 36.87/5.89 (((X0) = (multiply @ (inverse @ sk_c1) @ X0))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl2700, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl888, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl837, zip_derived_cl148])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl1146, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl888, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl15499, plain,
% 36.87/5.89 ((((inverse @ (inverse @ sk_c1)) = (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl2842, zip_derived_cl1146])).
% 36.87/5.89 thf(prove_this_34, conjecture,
% 36.87/5.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c8 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 36.87/5.89 thf(zf_stmt_11, negated_conjecture,
% 36.87/5.89 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 36.87/5.89 ( ( multiply @ sk_c8 @ sk_c10 ) = ( sk_c9 ) )),
% 36.87/5.89 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 36.87/5.89 thf(zip_derived_cl36, plain,
% 36.87/5.89 ((((inverse @ sk_c3) = (sk_c9)) | ((multiply @ sk_c8 @ sk_c10) = (sk_c9)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_11])).
% 36.87/5.89 thf(zip_derived_cl1730, plain, (((identity) = (sk_c9))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1729])).
% 36.87/5.89 thf(zip_derived_cl1730, plain, (((identity) = (sk_c9))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1729])).
% 36.87/5.89 thf(zip_derived_cl1759, plain,
% 36.87/5.89 ((((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((multiply @ sk_c8 @ sk_c10) = (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl36, zip_derived_cl1730, zip_derived_cl1730])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl3245, plain,
% 36.87/5.89 ((((inverse @ sk_c3) = (identity)) | ((sk_c8) = (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl1759, zip_derived_cl1932, zip_derived_cl837])).
% 36.87/5.89 thf(zip_derived_cl1960, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((X6) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (identity))
% 36.87/5.89 | ((sk_c8) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((multiply @ X1 @ X2) != (X0)))),
% 36.87/5.89 inference('local_rewriting', [status(thm)], [zip_derived_cl1959])).
% 36.87/5.89 thf(zip_derived_cl3246, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((identity) != (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (identity))
% 36.87/5.89 | ((X6) != (identity)))),
% 36.87/5.89 inference('sup-', [status(thm)], [zip_derived_cl3245, zip_derived_cl1960])).
% 36.87/5.89 thf(zip_derived_cl3248, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((X6) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl3246])).
% 36.87/5.89 thf(zip_derived_cl132403, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((inverse @ identity) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl3248])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl132404, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((identity) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl132403, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl132405, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.87/5.89 (((X5) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl132404])).
% 36.87/5.89 thf(zip_derived_cl132406, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ identity) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl132405])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl132407, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((identity) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl132406, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl132408, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.87/5.89 (((X4) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl132407])).
% 36.87/5.89 thf(zip_derived_cl132409, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ identity) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl132408])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl132410, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((identity) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl132409, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl132411, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.87/5.89 (((multiply @ X3 @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X0))
% 36.87/5.89 | ((X0) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (X0))
% 36.87/5.89 | ((multiply @ X1 @ X0) != (X2))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl132410])).
% 36.87/5.89 thf(zip_derived_cl132412, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((multiply @ X0 @ identity) != (X1))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (X1))
% 36.87/5.89 | ((inverse @ X2) != (identity))
% 36.87/5.89 | ((multiply @ X2 @ identity) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl132411])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl132413, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((X0) != (X1))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (X1))
% 36.87/5.89 | ((inverse @ X2) != (identity))
% 36.87/5.89 | ((X2) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl132412, zip_derived_cl837, zip_derived_cl837])).
% 36.87/5.89 thf(zip_derived_cl132414, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 (((X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X1))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl132413])).
% 36.87/5.89 thf(zip_derived_cl132415, plain,
% 36.87/5.89 (![X0 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (X0))
% 36.87/5.89 | ((inverse @ identity) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl132414])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl132416, plain,
% 36.87/5.89 (![X0 : $i]:
% 36.87/5.89 (((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (X0))
% 36.87/5.89 | ((identity) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl132415, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl132417, plain,
% 36.87/5.89 (![X0 : $i]:
% 36.87/5.89 (((inverse @ X0) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl132416])).
% 36.87/5.89 thf(zip_derived_cl132961, plain,
% 36.87/5.89 ((((identity) != (inverse @ sk_c1))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((inverse @ (inverse @ sk_c1)) != (identity)))),
% 36.87/5.89 inference('sup-', [status(thm)],
% 36.87/5.89 [zip_derived_cl15499, zip_derived_cl132417])).
% 36.87/5.89 thf(zip_derived_cl888, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl837, zip_derived_cl148])).
% 36.87/5.89 thf(zip_derived_cl133087, plain,
% 36.87/5.89 ((((identity) != (inverse @ sk_c1))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((sk_c1) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl132961, zip_derived_cl888])).
% 36.87/5.89 thf(zip_derived_cl133088, plain,
% 36.87/5.89 ((((sk_c1) != (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((identity) != (inverse @ sk_c1)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl133087])).
% 36.87/5.89 thf(zip_derived_cl133089, plain,
% 36.87/5.89 ((((sk_c1) != (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((identity) != (inverse @ identity)))),
% 36.87/5.89 inference('local_rewriting', [status(thm)], [zip_derived_cl133088])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl133118, plain,
% 36.87/5.89 ((((sk_c1) != (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (identity))
% 36.87/5.89 | ((identity) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl133089, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl133119, plain,
% 36.87/5.89 ((((inverse @ sk_c3) = (identity)) | ((sk_c1) != (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl133118])).
% 36.87/5.89 thf(zip_derived_cl26, plain,
% 36.87/5.89 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c10)))),
% 36.87/5.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 36.87/5.89 thf(zip_derived_cl1, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 36.87/5.89 inference('cnf', [status(esa)], [left_inverse])).
% 36.87/5.89 thf(zip_derived_cl58, plain,
% 36.87/5.89 ((((multiply @ sk_c10 @ sk_c1) = (identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl132, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl103, zip_derived_cl0])).
% 36.87/5.89 thf(zip_derived_cl155, plain,
% 36.87/5.89 ((((sk_c1) = (multiply @ (inverse @ sk_c10) @ identity))
% 36.87/5.89 | ((inverse @ sk_c3) = (sk_c9)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl132])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl871, plain,
% 36.87/5.89 ((((sk_c1) = (inverse @ sk_c10)) | ((inverse @ sk_c3) = (sk_c9)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl155, zip_derived_cl837])).
% 36.87/5.89 thf(zip_derived_cl1730, plain, (((identity) = (sk_c9))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1729])).
% 36.87/5.89 thf(zip_derived_cl1784, plain,
% 36.87/5.89 ((((sk_c1) = (inverse @ sk_c10)) | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('demod', [status(thm)], [zip_derived_cl871, zip_derived_cl1730])).
% 36.87/5.89 thf(zip_derived_cl1932, plain, (((sk_c10) = (identity))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl1965, plain,
% 36.87/5.89 ((((sk_c1) = (identity)) | ((inverse @ sk_c3) = (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl1784, zip_derived_cl1932, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl133120, plain, (((inverse @ sk_c3) = (identity))),
% 36.87/5.89 inference('clc', [status(thm)],
% 36.87/5.89 [zip_derived_cl133119, zip_derived_cl1965])).
% 36.87/5.89 thf(zip_derived_cl888, plain,
% 36.87/5.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl837, zip_derived_cl148])).
% 36.87/5.89 thf(zip_derived_cl133122, plain, (((sk_c3) = (inverse @ identity))),
% 36.87/5.89 inference('sup+', [status(thm)],
% 36.87/5.89 [zip_derived_cl133120, zip_derived_cl888])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl133126, plain, (((sk_c3) = (identity))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl133122, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl133132, plain,
% 36.87/5.89 ((((identity) = (sk_c8)) | ((sk_c8) = (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl2259, zip_derived_cl133126])).
% 36.87/5.89 thf(zip_derived_cl133133, plain, (((identity) = (sk_c8))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl133132])).
% 36.87/5.89 thf(zip_derived_cl133141, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((X6) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (identity))
% 36.87/5.89 | ((identity) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((multiply @ X1 @ X2) != (X0)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl1960, zip_derived_cl133133])).
% 36.87/5.89 thf(zip_derived_cl133142, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 36.87/5.89 (((multiply @ X1 @ X2) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (X2))
% 36.87/5.89 | ((inverse @ X1) != (X0))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X2))
% 36.87/5.89 | ((multiply @ X3 @ X2) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((X4) != (identity))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X5) != (identity))
% 36.87/5.89 | ((inverse @ X6) != (identity))
% 36.87/5.89 | ((X6) != (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl133141])).
% 36.87/5.89 thf(zip_derived_cl133167, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.87/5.89 (((X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((X1) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X2) != (identity))
% 36.87/5.89 | ((multiply @ X3 @ identity) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (X5))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((multiply @ X4 @ identity) != (X5)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl133142])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl837, plain,
% 36.87/5.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl145])).
% 36.87/5.89 thf(zip_derived_cl133168, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 36.87/5.89 (((X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((X1) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X2) != (identity))
% 36.87/5.89 | ((X3) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (X5))
% 36.87/5.89 | ((inverse @ X5) != (identity))
% 36.87/5.89 | ((X4) != (X5)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl133167, zip_derived_cl837, zip_derived_cl837])).
% 36.87/5.89 thf(zip_derived_cl133169, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 36.87/5.89 (((inverse @ X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (X0))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((X1) != (identity))
% 36.87/5.89 | ((inverse @ X2) != (identity))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (identity))
% 36.87/5.89 | ((X3) != (identity))
% 36.87/5.89 | ((inverse @ X4) != (identity))
% 36.87/5.89 | ((X4) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl133168])).
% 36.87/5.89 thf(zip_derived_cl133170, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.87/5.89 (((X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((X1) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X2) != (identity))
% 36.87/5.89 | ((inverse @ identity) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X3))
% 36.87/5.89 | ((inverse @ X3) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl133169])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl133171, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.87/5.89 (((X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((X1) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X2) != (identity))
% 36.87/5.89 | ((identity) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X3))
% 36.87/5.89 | ((inverse @ X3) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl133170, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl133172, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 36.87/5.89 (((inverse @ X3) != (identity))
% 36.87/5.89 | ((inverse @ X3) != (X3))
% 36.87/5.89 | ((inverse @ X2) != (identity))
% 36.87/5.89 | ((X2) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((X1) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((X0) != (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl133171])).
% 36.87/5.89 thf(zip_derived_cl133173, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.87/5.89 (((X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((X1) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((inverse @ identity) != (identity))
% 36.87/5.89 | ((inverse @ X2) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl133172])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl133174, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.87/5.89 (((X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((X1) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((identity) != (identity))
% 36.87/5.89 | ((inverse @ X2) != (X2))
% 36.87/5.89 | ((inverse @ X2) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl133173, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl133175, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 36.87/5.89 (((inverse @ X2) != (identity))
% 36.87/5.89 | ((inverse @ X2) != (X2))
% 36.87/5.89 | ((inverse @ X1) != (identity))
% 36.87/5.89 | ((X1) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((X0) != (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl133174])).
% 36.87/5.89 thf(zip_derived_cl133176, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 (((X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((inverse @ identity) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X1))
% 36.87/5.89 | ((inverse @ X1) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl133175])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl133177, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 (((X0) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((identity) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X1))
% 36.87/5.89 | ((inverse @ X1) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl133176, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl133178, plain,
% 36.87/5.89 (![X0 : $i, X1 : $i]:
% 36.87/5.89 (((inverse @ X1) != (identity))
% 36.87/5.89 | ((inverse @ X1) != (X1))
% 36.87/5.89 | ((inverse @ X0) != (identity))
% 36.87/5.89 | ((X0) != (identity)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl133177])).
% 36.87/5.89 thf(zip_derived_cl133216, plain,
% 36.87/5.89 (![X0 : $i]:
% 36.87/5.89 (((inverse @ identity) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (identity)))),
% 36.87/5.89 inference('eq_res', [status(thm)], [zip_derived_cl133178])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl133217, plain,
% 36.87/5.89 (![X0 : $i]:
% 36.87/5.89 (((identity) != (identity))
% 36.87/5.89 | ((inverse @ X0) != (X0))
% 36.87/5.89 | ((inverse @ X0) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl133216, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl133218, plain,
% 36.87/5.89 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((inverse @ X0) != (X0)))),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl133217])).
% 36.87/5.89 thf(zip_derived_cl133219, plain,
% 36.87/5.89 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 36.87/5.89 inference('sup-', [status(thm)],
% 36.87/5.89 [zip_derived_cl693, zip_derived_cl133218])).
% 36.87/5.89 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 36.87/5.89 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl1])).
% 36.87/5.89 thf(zip_derived_cl133233, plain,
% 36.87/5.89 ((((identity) != (identity)) | ((identity) != (identity)))),
% 36.87/5.89 inference('demod', [status(thm)],
% 36.87/5.89 [zip_derived_cl133219, zip_derived_cl693])).
% 36.87/5.89 thf(zip_derived_cl133234, plain, ($false),
% 36.87/5.89 inference('simplify', [status(thm)], [zip_derived_cl133233])).
% 36.87/5.89
% 36.87/5.89 % SZS output end Refutation
% 36.87/5.89
% 36.87/5.89
% 36.87/5.89 % Terminating...
% 36.87/5.96 % Runner terminated.
% 36.88/5.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------