TSTP Solution File: GRP301-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP301-1 : 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.Ooipkdh4Rh true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:06 EDT 2023
% Result : Unsatisfiable 0.54s 1.00s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP301-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ooipkdh4Rh true
% 0.13/0.34 % Computer : n029.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 01:57:26 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
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/1.00 % Solved by fo/fo7.sh.
% 0.54/1.00 % done 842 iterations in 0.235s
% 0.54/1.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/1.00 % SZS output start Refutation
% 0.54/1.00 thf(sk_c2_type, type, sk_c2: $i).
% 0.54/1.00 thf(sk_c5_type, type, sk_c5: $i).
% 0.54/1.00 thf(sk_c1_type, type, sk_c1: $i).
% 0.54/1.00 thf(sk_c4_type, type, sk_c4: $i).
% 0.54/1.00 thf(identity_type, type, identity: $i).
% 0.54/1.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/1.00 thf(sk_c6_type, type, sk_c6: $i).
% 0.54/1.00 thf(inverse_type, type, inverse: $i > $i).
% 0.54/1.00 thf(sk_c3_type, type, sk_c3: $i).
% 0.54/1.00 thf(sk_c7_type, type, sk_c7: $i).
% 0.54/1.00 thf(prove_this_31, conjecture,
% 0.54/1.00 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.54/1.00 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/1.00 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.54/1.00 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 0.54/1.00 thf(zf_stmt_0, negated_conjecture,
% 0.54/1.00 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.54/1.00 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/1.00 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.54/1.00 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.54/1.00 thf(zip_derived_cl33, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.54/1.00 | ((inverse @ X0) != (sk_c6))
% 0.54/1.00 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.54/1.00 | ((inverse @ X2) != (sk_c6))
% 0.54/1.00 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 0.54/1.00 | ((inverse @ sk_c7) != (sk_c5))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/1.00 thf(zip_derived_cl34, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.54/1.00 | ((inverse @ X0) != (sk_c6))
% 0.54/1.00 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.54/1.00 | ((inverse @ X2) != (sk_c6))
% 0.54/1.00 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c7 @ sk_c6))
% 0.54/1.00 | ((inverse @ sk_c7) != (sk_c5))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.54/1.00 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.54/1.00 thf(prove_this_12, conjecture,
% 0.54/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/1.00 thf(zf_stmt_1, negated_conjecture,
% 0.54/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.54/1.00 thf(zip_derived_cl14, plain,
% 0.54/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/1.00 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl46, plain,
% 0.54/1.00 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.54/1.00 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(associativity, axiom,
% 0.54/1.00 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.54/1.00 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.54/1.00 thf(zip_derived_cl2, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.54/1.00 thf(zip_derived_cl64, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((multiply @ identity @ X0)
% 0.54/1.00 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/1.00 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl123, plain,
% 0.54/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/1.00 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl96])).
% 0.54/1.00 thf(prove_this_7, conjecture,
% 0.54/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/1.00 thf(zf_stmt_2, negated_conjecture,
% 0.54/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.54/1.00 thf(zip_derived_cl9, plain,
% 0.54/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/1.00 thf(zip_derived_cl239, plain,
% 0.54/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/1.00 = (sk_c6))
% 0.54/1.00 | ((inverse @ sk_c3) = (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl9])).
% 0.54/1.00 thf(zip_derived_cl2, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl254, plain,
% 0.54/1.00 ((((identity) = (sk_c6))
% 0.54/1.00 | ((inverse @ sk_c3) = (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl239, zip_derived_cl2, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl255, plain,
% 0.54/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl261, plain,
% 0.54/1.00 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl255, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl266, plain,
% 0.54/1.00 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/1.00 | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl261, zip_derived_cl96])).
% 0.54/1.00 thf(prove_this_14, conjecture,
% 0.54/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/1.00 thf(zf_stmt_3, negated_conjecture,
% 0.54/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.54/1.00 thf(zip_derived_cl16, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl47, plain,
% 0.54/1.00 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl124, plain,
% 0.54/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl96])).
% 0.54/1.00 thf(prove_this_9, conjecture,
% 0.54/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/1.00 thf(zf_stmt_4, negated_conjecture,
% 0.54/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.54/1.00 thf(zip_derived_cl11, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/1.00 thf(zip_derived_cl283, plain,
% 0.54/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/1.00 = (sk_c6))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl11])).
% 0.54/1.00 thf(zip_derived_cl2, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl298, plain,
% 0.54/1.00 ((((identity) = (sk_c6))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl283, zip_derived_cl2, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl299, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl298])).
% 0.54/1.00 thf(prove_this_15, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/1.00 thf(zf_stmt_5, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.54/1.00 thf(zip_derived_cl17, plain,
% 0.54/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl52, plain,
% 0.54/1.00 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl126, plain,
% 0.54/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl96])).
% 0.54/1.00 thf(prove_this_10, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/1.00 thf(zf_stmt_6, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.54/1.00 thf(zip_derived_cl12, plain,
% 0.54/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/1.00 thf(zip_derived_cl523, plain,
% 0.54/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/1.00 = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl12])).
% 0.54/1.00 thf(zip_derived_cl2, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl538, plain,
% 0.54/1.00 ((((identity) = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl523, zip_derived_cl2, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl539, plain,
% 0.54/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl538])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl638, plain,
% 0.54/1.00 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 0.54/1.00 | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl539, zip_derived_cl96])).
% 0.54/1.00 thf(zip_derived_cl694, plain,
% 0.54/1.00 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.54/1.00 | ((identity) = (sk_c6))
% 0.54/1.00 | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl299, zip_derived_cl638])).
% 0.54/1.00 thf(zip_derived_cl700, plain,
% 0.54/1.00 ((((identity) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl694])).
% 0.54/1.00 thf(prove_this_11, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/1.00 thf(zf_stmt_7, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.54/1.00 thf(zip_derived_cl13, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl45, plain,
% 0.54/1.00 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl122, plain,
% 0.54/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl96])).
% 0.54/1.00 thf(prove_this_6, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/1.00 thf(zf_stmt_8, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.54/1.00 thf(zip_derived_cl8, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.54/1.00 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/1.00 thf(zip_derived_cl210, plain,
% 0.54/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/1.00 = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl8])).
% 0.54/1.00 thf(zip_derived_cl2, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl225, plain,
% 0.54/1.00 ((((identity) = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl210, zip_derived_cl2, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl226, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl225])).
% 0.54/1.00 thf(zip_derived_cl709, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 0.54/1.00 | ((identity) = (sk_c6))
% 0.54/1.00 | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl700, zip_derived_cl226])).
% 0.54/1.00 thf(zip_derived_cl716, plain,
% 0.54/1.00 ((((identity) = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl709])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl849, plain,
% 0.54/1.00 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 0.54/1.00 | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl716, zip_derived_cl96])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl857, plain,
% 0.54/1.00 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl849, zip_derived_cl96])).
% 0.54/1.00 thf(prove_this_13, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/1.00 thf(zf_stmt_9, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.54/1.00 thf(zip_derived_cl15, plain,
% 0.54/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl51, plain,
% 0.54/1.00 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.54/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl125, plain,
% 0.54/1.00 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl96])).
% 0.54/1.00 thf(prove_this_8, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/1.00 thf(zf_stmt_10, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.54/1.00 thf(zip_derived_cl10, plain,
% 0.54/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/1.00 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/1.00 thf(zip_derived_cl721, plain,
% 0.54/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/1.00 = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl10])).
% 0.54/1.00 thf(zip_derived_cl2, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl736, plain,
% 0.54/1.00 ((((identity) = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/1.00 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl721, zip_derived_cl2, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl737, plain,
% 0.54/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl736])).
% 0.54/1.00 thf(zip_derived_cl887, plain,
% 0.54/1.00 ((((multiply @ sk_c3 @ sk_c7) = (sk_c7))
% 0.54/1.00 | ((identity) = (sk_c6))
% 0.54/1.00 | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl857, zip_derived_cl737])).
% 0.54/1.00 thf(zip_derived_cl898, plain,
% 0.54/1.00 ((((identity) = (sk_c6)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c7)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl887])).
% 0.54/1.00 thf(zip_derived_cl975, plain,
% 0.54/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/1.00 = (sk_c7))
% 0.54/1.00 | ((identity) = (sk_c6))
% 0.54/1.00 | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl266, zip_derived_cl898])).
% 0.54/1.00 thf(zip_derived_cl2, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl979, plain,
% 0.54/1.00 ((((identity) = (sk_c7))
% 0.54/1.00 | ((identity) = (sk_c6))
% 0.54/1.00 | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl975, zip_derived_cl2, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl980, plain,
% 0.54/1.00 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl979])).
% 0.54/1.00 thf(zip_derived_cl857, plain,
% 0.54/1.00 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl849, zip_derived_cl96])).
% 0.54/1.00 thf(zip_derived_cl889, plain,
% 0.54/1.00 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 0.54/1.00 inference('eq_fact', [status(thm)], [zip_derived_cl857])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl1011, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((multiply @ X0 @ (multiply @ sk_c7 @ identity)) != (identity))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((multiply @ X1 @ identity) != (sk_c7))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((sk_c7) != (sk_c5))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((multiply @ X2 @ identity) != (multiply @ sk_c7 @ identity))
% 0.54/1.00 | ((inverse @ sk_c7) != (sk_c5))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.54/1.00 | ((multiply @ sk_c7 @ identity) != (sk_c5)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl34, zip_derived_cl982, zip_derived_cl982,
% 0.54/1.00 zip_derived_cl982, zip_derived_cl982, zip_derived_cl982,
% 0.54/1.00 zip_derived_cl0, zip_derived_cl982, zip_derived_cl982,
% 0.54/1.00 zip_derived_cl982, zip_derived_cl982, zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl13, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl993, plain,
% 0.54/1.00 ((((sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl13, zip_derived_cl982, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl8, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.54/1.00 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl988, plain,
% 0.54/1.00 ((((sk_c7) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c7) = (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl8, zip_derived_cl982, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl1281, plain,
% 0.54/1.00 ((((sk_c7) = (multiply @ (inverse @ sk_c1) @ identity))
% 0.54/1.00 | ((sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl988, zip_derived_cl96])).
% 0.54/1.00 thf(zip_derived_cl1711, plain,
% 0.54/1.00 ((((sk_c7) = (multiply @ sk_c7 @ identity))
% 0.54/1.00 | ((sk_c7) = (sk_c5))
% 0.54/1.00 | ((sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl993, zip_derived_cl1281])).
% 0.54/1.00 thf(zip_derived_cl1718, plain,
% 0.54/1.00 ((((sk_c7) = (sk_c5)) | ((sk_c7) = (multiply @ sk_c7 @ identity)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl1711])).
% 0.54/1.00 thf(prove_this_1, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.54/1.00 thf(zf_stmt_11, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.54/1.00 thf(zip_derived_cl3, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.54/1.00 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/1.00 thf(zip_derived_cl41, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 0.54/1.00 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.54/1.00 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl1015, plain,
% 0.54/1.00 ((((sk_c7) != (multiply @ sk_c7 @ identity))
% 0.54/1.00 | ((multiply @ sk_c7 @ identity) = (sk_c5)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl41, zip_derived_cl982, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl982, zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl1016, plain,
% 0.54/1.00 ((((sk_c7) != (multiply @ sk_c7 @ identity)) | ((sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('local_rewriting', [status(thm)], [zip_derived_cl1015])).
% 0.54/1.00 thf(zip_derived_cl1762, plain, (((sk_c7) = (sk_c5))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl1718, zip_derived_cl1016])).
% 0.54/1.00 thf(zip_derived_cl1762, plain, (((sk_c7) = (sk_c5))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl1718, zip_derived_cl1016])).
% 0.54/1.00 thf(zip_derived_cl1762, plain, (((sk_c7) = (sk_c5))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl1718, zip_derived_cl1016])).
% 0.54/1.00 thf(zip_derived_cl1778, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((multiply @ X0 @ (multiply @ sk_c7 @ identity)) != (identity))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((multiply @ X1 @ identity) != (sk_c7))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((sk_c7) != (sk_c7))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((multiply @ X2 @ identity) != (multiply @ sk_c7 @ identity))
% 0.54/1.00 | ((inverse @ sk_c7) != (sk_c7))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.54/1.00 | ((multiply @ sk_c7 @ identity) != (sk_c7)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl1011, zip_derived_cl1762, zip_derived_cl1762,
% 0.54/1.00 zip_derived_cl1762])).
% 0.54/1.00 thf(zip_derived_cl1779, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((multiply @ sk_c7 @ identity) != (sk_c7))
% 0.54/1.00 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c7) != (sk_c7))
% 0.54/1.00 | ((multiply @ X2 @ identity) != (multiply @ sk_c7 @ identity))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((multiply @ X1 @ identity) != (sk_c7))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((multiply @ X0 @ (multiply @ sk_c7 @ identity)) != (identity)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl1778])).
% 0.54/1.00 thf(zip_derived_cl1780, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((multiply @ sk_c7 @ identity) != (sk_c7))
% 0.54/1.00 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c7) != (sk_c7))
% 0.54/1.00 | ((multiply @ X2 @ identity) != (sk_c7))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((multiply @ X1 @ identity) != (sk_c7))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.54/1.00 inference('local_rewriting', [status(thm)], [zip_derived_cl1779])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl118, plain,
% 0.54/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl96])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl115, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl96])).
% 0.54/1.00 thf(zip_derived_cl2007, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 0.54/1.00 thf(zip_derived_cl2007, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 0.54/1.00 thf(zip_derived_cl2007, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 0.54/1.00 thf(zip_derived_cl2047, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((sk_c7) != (sk_c7))
% 0.54/1.00 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c7) != (sk_c7))
% 0.54/1.00 | ((X2) != (sk_c7))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((X1) != (sk_c7))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl1780, zip_derived_cl2007, zip_derived_cl2007,
% 0.54/1.00 zip_derived_cl2007])).
% 0.54/1.00 thf(zip_derived_cl2048, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((multiply @ X0 @ sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((X1) != (sk_c7))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((X2) != (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c7) != (sk_c7))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl2047])).
% 0.54/1.00 thf(zip_derived_cl2007, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 0.54/1.00 thf(prove_this_18, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.54/1.00 thf(zf_stmt_12, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.54/1.00 thf(zip_derived_cl20, plain,
% 0.54/1.00 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl998, plain,
% 0.54/1.00 ((((multiply @ sk_c3 @ identity) = (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl1762, plain, (((sk_c7) = (sk_c5))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl1718, zip_derived_cl1016])).
% 0.54/1.00 thf(zip_derived_cl1772, plain,
% 0.54/1.00 ((((multiply @ sk_c3 @ identity) = (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c7) = (sk_c7)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl998, zip_derived_cl1762])).
% 0.54/1.00 thf(zip_derived_cl2781, plain,
% 0.54/1.00 ((((sk_c3) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c7)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl2007, zip_derived_cl1772])).
% 0.54/1.00 thf(prove_this_17, conjecture,
% 0.54/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.54/1.00 thf(zf_stmt_13, negated_conjecture,
% 0.54/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.54/1.00 thf(zip_derived_cl19, plain,
% 0.54/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.54/1.00 thf(zip_derived_cl1762, plain, (((sk_c7) = (sk_c5))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl1718, zip_derived_cl1016])).
% 0.54/1.00 thf(zip_derived_cl1763, plain,
% 0.54/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c7)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl1762])).
% 0.54/1.00 thf(zip_derived_cl2789, plain,
% 0.54/1.00 ((((inverse @ sk_c7) = (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c7) = (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c7) = (sk_c7)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl2781, zip_derived_cl1763])).
% 0.54/1.00 thf(zip_derived_cl2800, plain, (((inverse @ sk_c7) = (sk_c7))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl2789])).
% 0.54/1.00 thf(zip_derived_cl2815, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((multiply @ X0 @ sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((X1) != (sk_c7))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((X2) != (sk_c7))
% 0.54/1.00 | ((sk_c7) != (sk_c7))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl2048, zip_derived_cl2800])).
% 0.54/1.00 thf(zip_derived_cl2816, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.00 (((multiply @ X3 @ sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X3) != (sk_c7))
% 0.54/1.00 | ((X2) != (sk_c7))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((X1) != (sk_c7))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl2815])).
% 0.54/1.00 thf(zip_derived_cl2829, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 (((multiply @ X0 @ sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((X1) != (sk_c7))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((inverse @ sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X2) != (sk_c7))
% 0.54/1.00 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.54/1.00 inference('eq_res', [status(thm)], [zip_derived_cl2816])).
% 0.54/1.00 thf(zip_derived_cl2800, plain, (((inverse @ sk_c7) = (sk_c7))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl2789])).
% 0.54/1.00 thf(zip_derived_cl2830, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 (((multiply @ X0 @ sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((X1) != (sk_c7))
% 0.54/1.00 | ((inverse @ X1) != (sk_c7))
% 0.54/1.00 | ((sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X2) != (sk_c7))
% 0.54/1.00 | ((multiply @ X2 @ sk_c7) != (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl2829, zip_derived_cl2800])).
% 0.54/1.00 thf(zip_derived_cl2831, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 (((multiply @ X0 @ identity) != (identity))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((X1) != (identity))
% 0.54/1.00 | ((inverse @ X1) != (identity))
% 0.54/1.00 | ((sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((multiply @ X2 @ identity) != (identity)))),
% 0.54/1.00 inference('local_rewriting', [status(thm)], [zip_derived_cl2830])).
% 0.54/1.00 thf(zip_derived_cl2007, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 0.54/1.00 thf(zip_derived_cl2007, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl118, zip_derived_cl115])).
% 0.54/1.00 thf(zip_derived_cl2832, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 (((X0) != (identity))
% 0.54/1.00 | ((inverse @ X0) != (identity))
% 0.54/1.00 | ((X1) != (identity))
% 0.54/1.00 | ((inverse @ X1) != (identity))
% 0.54/1.00 | ((sk_c7) != (identity))
% 0.54/1.00 | ((inverse @ X2) != (identity))
% 0.54/1.00 | ((X2) != (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl2831, zip_derived_cl2007, zip_derived_cl2007])).
% 0.54/1.00 thf(prove_this_30, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.54/1.00 thf(zf_stmt_14, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.54/1.00 thf(zip_derived_cl32, plain,
% 0.54/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl57, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl1028, plain,
% 0.54/1.00 ((((sk_c2) = (identity)) | ((multiply @ sk_c4 @ sk_c5) = (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl57, zip_derived_cl982, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl1762, plain, (((sk_c7) = (sk_c5))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl1718, zip_derived_cl1016])).
% 0.54/1.00 thf(zip_derived_cl1784, plain,
% 0.54/1.00 ((((sk_c2) = (identity)) | ((multiply @ sk_c4 @ sk_c7) = (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl1028, zip_derived_cl1762])).
% 0.54/1.00 thf(prove_this_25, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.54/1.00 thf(zf_stmt_15, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.54/1.00 thf(zip_derived_cl27, plain,
% 0.54/1.00 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.54/1.00 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl1005, plain,
% 0.54/1.00 ((((multiply @ sk_c4 @ sk_c5) = (identity))
% 0.54/1.00 | ((multiply @ sk_c2 @ identity) = (sk_c5)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl27, zip_derived_cl982, zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl1762, plain, (((sk_c7) = (sk_c5))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl1718, zip_derived_cl1016])).
% 0.54/1.00 thf(zip_derived_cl1762, plain, (((sk_c7) = (sk_c5))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl1718, zip_derived_cl1016])).
% 0.54/1.00 thf(zip_derived_cl3510, plain,
% 0.54/1.00 ((((multiply @ sk_c4 @ sk_c7) = (identity))
% 0.54/1.00 | ((multiply @ sk_c2 @ identity) = (sk_c7)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl1005, zip_derived_cl1762, zip_derived_cl1762])).
% 0.54/1.00 thf(zip_derived_cl3520, plain,
% 0.54/1.00 ((((multiply @ identity @ identity) = (sk_c7))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c7) = (identity))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c7) = (identity)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl1784, zip_derived_cl3510])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl3527, plain,
% 0.54/1.00 ((((identity) = (sk_c7))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c7) = (identity))
% 0.54/1.00 | ((multiply @ sk_c4 @ sk_c7) = (identity)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl3520, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl3528, plain,
% 0.54/1.00 ((((multiply @ sk_c4 @ sk_c7) = (identity)) | ((identity) = (sk_c7)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl3527])).
% 0.54/1.00 thf(prove_this_29, conjecture,
% 0.54/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.54/1.00 thf(zf_stmt_16, negated_conjecture,
% 0.54/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.54/1.00 thf(zip_derived_cl31, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl50, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl131, plain,
% 0.54/1.00 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl96])).
% 0.54/1.00 thf(prove_this_24, conjecture,
% 0.54/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.54/1.00 thf(zf_stmt_17, negated_conjecture,
% 0.54/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.54/1.00 thf(zip_derived_cl26, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.54/1.00 thf(zip_derived_cl404, plain,
% 0.54/1.00 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 0.54/1.00 = (sk_c5))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl26])).
% 0.54/1.00 thf(zip_derived_cl2, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl419, plain,
% 0.54/1.00 ((((identity) = (sk_c5))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6))
% 0.54/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl404, zip_derived_cl2, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl420, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl419])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl1048, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (identity)) | ((identity) = (sk_c5)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl420, zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl1762, plain, (((sk_c7) = (sk_c5))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl1718, zip_derived_cl1016])).
% 0.54/1.00 thf(zip_derived_cl1789, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (identity)) | ((identity) = (sk_c7)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl1048, zip_derived_cl1762])).
% 0.54/1.00 thf(zip_derived_cl115, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl96])).
% 0.54/1.00 thf(zip_derived_cl2016, plain,
% 0.54/1.00 (![X0 : $i]:
% 0.54/1.00 (((multiply @ sk_c4 @ X0) = (multiply @ (inverse @ identity) @ X0))
% 0.54/1.00 | ((identity) = (sk_c7)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl1789, zip_derived_cl115])).
% 0.54/1.00 thf(prove_this_26, conjecture,
% 0.54/1.00 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.54/1.00 thf(zf_stmt_18, negated_conjecture,
% 0.54/1.00 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 0.54/1.00 thf(zip_derived_cl28, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl48, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.54/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl1021, plain,
% 0.54/1.00 ((((sk_c2) = (identity)) | ((sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl48, zip_derived_cl982, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl982, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl28, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl1006, plain,
% 0.54/1.00 ((((sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl28, zip_derived_cl982, zip_derived_cl0,
% 0.54/1.00 zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl1068, plain,
% 0.54/1.00 ((((inverse @ identity) = (identity))
% 0.54/1.00 | ((sk_c7) = (sk_c5))
% 0.54/1.00 | ((sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl1021, zip_derived_cl1006])).
% 0.54/1.00 thf(zip_derived_cl1069, plain,
% 0.54/1.00 ((((sk_c7) = (sk_c5)) | ((inverse @ identity) = (identity)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl1068])).
% 0.54/1.00 thf(zip_derived_cl420, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl419])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl424, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c4) = (identity)) | ((identity) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl420, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl496, plain,
% 0.54/1.00 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/1.00 | ((identity) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl424, zip_derived_cl96])).
% 0.54/1.00 thf(zip_derived_cl420, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl419])).
% 0.54/1.00 thf(zip_derived_cl513, plain,
% 0.54/1.00 ((((inverse @ (multiply @ (inverse @ sk_c6) @ identity)) = (sk_c6))
% 0.54/1.00 | ((identity) = (sk_c5))
% 0.54/1.00 | ((identity) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl496, zip_derived_cl420])).
% 0.54/1.00 thf(zip_derived_cl517, plain,
% 0.54/1.00 ((((identity) = (sk_c5))
% 0.54/1.00 | ((inverse @ (multiply @ (inverse @ sk_c6) @ identity)) = (sk_c6)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl513])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl96, plain,
% 0.54/1.00 (![X0 : $i, X1 : $i]:
% 0.54/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl117, plain,
% 0.54/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl96])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl1053, plain,
% 0.54/1.00 ((((identity) = (sk_c5)) | ((inverse @ identity) = (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl517, zip_derived_cl982, zip_derived_cl117,
% 0.54/1.00 zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl1124, plain,
% 0.54/1.00 ((((identity) = (sk_c7))
% 0.54/1.00 | ((inverse @ identity) = (identity))
% 0.54/1.00 | ((inverse @ identity) = (identity)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl1069, zip_derived_cl1053])).
% 0.54/1.00 thf(zip_derived_cl1126, plain,
% 0.54/1.00 ((((inverse @ identity) = (identity)) | ((identity) = (sk_c7)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl1124])).
% 0.54/1.00 thf(prove_this_19, conjecture,
% 0.54/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/1.00 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.54/1.00 thf(zf_stmt_19, negated_conjecture,
% 0.54/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.54/1.00 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.54/1.00 thf(zip_derived_cl21, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.54/1.00 thf(zip_derived_cl1, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/1.00 thf(zip_derived_cl39, plain,
% 0.54/1.00 ((((multiply @ sk_c6 @ sk_c4) = (identity))
% 0.54/1.00 | ((inverse @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl0, plain,
% 0.54/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.00 thf(zip_derived_cl1014, plain,
% 0.54/1.00 ((((sk_c4) = (identity)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl39, zip_derived_cl982, zip_derived_cl0])).
% 0.54/1.00 thf(zip_derived_cl21, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.54/1.00 thf(zip_derived_cl982, plain, (((identity) = (sk_c6))),
% 0.54/1.00 inference('clc', [status(thm)], [zip_derived_cl980, zip_derived_cl889])).
% 0.54/1.00 thf(zip_derived_cl999, plain,
% 0.54/1.00 ((((inverse @ sk_c4) = (identity)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl1175, plain,
% 0.54/1.00 ((((inverse @ identity) = (identity))
% 0.54/1.00 | ((inverse @ sk_c7) = (sk_c5))
% 0.54/1.00 | ((inverse @ sk_c7) = (sk_c5)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl1014, zip_derived_cl999])).
% 0.54/1.00 thf(zip_derived_cl1178, plain,
% 0.54/1.00 ((((inverse @ sk_c7) = (sk_c5)) | ((inverse @ identity) = (identity)))),
% 0.54/1.00 inference('simplify', [status(thm)], [zip_derived_cl1175])).
% 0.54/1.00 thf(zip_derived_cl1053, plain,
% 0.54/1.00 ((((identity) = (sk_c5)) | ((inverse @ identity) = (identity)))),
% 0.54/1.00 inference('demod', [status(thm)],
% 0.54/1.00 [zip_derived_cl517, zip_derived_cl982, zip_derived_cl117,
% 0.54/1.00 zip_derived_cl982])).
% 0.54/1.00 thf(zip_derived_cl1225, plain,
% 0.54/1.00 ((((identity) = (inverse @ sk_c7))
% 0.54/1.00 | ((inverse @ identity) = (identity))
% 0.54/1.00 | ((inverse @ identity) = (identity)))),
% 0.54/1.00 inference('sup+', [status(thm)], [zip_derived_cl1178, zip_derived_cl1053])).
% 0.54/1.00 thf(zip_derived_cl1230, plain,
% 0.54/1.00 ((((inverse @ identity) = (identity)) | ((identity) = (inverse @ sk_c7)))),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl1225])).
% 0.54/1.01 thf(zip_derived_cl1363, plain,
% 0.54/1.01 ((((identity) = (inverse @ identity))
% 0.54/1.01 | ((inverse @ identity) = (identity))
% 0.54/1.01 | ((inverse @ identity) = (identity)))),
% 0.54/1.01 inference('sup+', [status(thm)], [zip_derived_cl1126, zip_derived_cl1230])).
% 0.54/1.01 thf(zip_derived_cl1364, plain, (((identity) = (inverse @ identity))),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl1363])).
% 0.54/1.01 thf(zip_derived_cl0, plain,
% 0.54/1.01 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/1.01 inference('cnf', [status(esa)], [left_identity])).
% 0.54/1.01 thf(zip_derived_cl2028, plain,
% 0.54/1.01 (![X0 : $i]: (((multiply @ sk_c4 @ X0) = (X0)) | ((identity) = (sk_c7)))),
% 0.54/1.01 inference('demod', [status(thm)],
% 0.54/1.01 [zip_derived_cl2016, zip_derived_cl1364, zip_derived_cl0])).
% 0.54/1.01 thf(zip_derived_cl3587, plain,
% 0.54/1.01 ((((identity) = (sk_c7))
% 0.54/1.01 | ((identity) = (sk_c7))
% 0.54/1.01 | ((identity) = (sk_c7)))),
% 0.54/1.01 inference('sup+', [status(thm)], [zip_derived_cl3528, zip_derived_cl2028])).
% 0.54/1.01 thf(zip_derived_cl3591, plain, (((identity) = (sk_c7))),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl3587])).
% 0.54/1.01 thf(zip_derived_cl3635, plain,
% 0.54/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.01 (((X0) != (identity))
% 0.54/1.01 | ((inverse @ X0) != (identity))
% 0.54/1.01 | ((X1) != (identity))
% 0.54/1.01 | ((inverse @ X1) != (identity))
% 0.54/1.01 | ((identity) != (identity))
% 0.54/1.01 | ((inverse @ X2) != (identity))
% 0.54/1.01 | ((X2) != (identity)))),
% 0.54/1.01 inference('demod', [status(thm)],
% 0.54/1.01 [zip_derived_cl2832, zip_derived_cl3591])).
% 0.54/1.01 thf(zip_derived_cl3636, plain,
% 0.54/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.01 (((X2) != (identity))
% 0.54/1.01 | ((inverse @ X2) != (identity))
% 0.54/1.01 | ((inverse @ X1) != (identity))
% 0.54/1.01 | ((X1) != (identity))
% 0.54/1.01 | ((inverse @ X0) != (identity))
% 0.54/1.01 | ((X0) != (identity)))),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl3635])).
% 0.54/1.01 thf(zip_derived_cl3647, plain,
% 0.54/1.01 (![X0 : $i, X1 : $i]:
% 0.54/1.01 (((X0) != (identity))
% 0.54/1.01 | ((inverse @ X0) != (identity))
% 0.54/1.01 | ((X1) != (identity))
% 0.54/1.01 | ((inverse @ X1) != (identity))
% 0.54/1.01 | ((inverse @ identity) != (identity)))),
% 0.54/1.01 inference('eq_res', [status(thm)], [zip_derived_cl3636])).
% 0.54/1.01 thf(zip_derived_cl1364, plain, (((identity) = (inverse @ identity))),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl1363])).
% 0.54/1.01 thf(zip_derived_cl3648, plain,
% 0.54/1.01 (![X0 : $i, X1 : $i]:
% 0.54/1.01 (((X0) != (identity))
% 0.54/1.01 | ((inverse @ X0) != (identity))
% 0.54/1.01 | ((X1) != (identity))
% 0.54/1.01 | ((inverse @ X1) != (identity))
% 0.54/1.01 | ((identity) != (identity)))),
% 0.54/1.01 inference('demod', [status(thm)],
% 0.54/1.01 [zip_derived_cl3647, zip_derived_cl1364])).
% 0.54/1.01 thf(zip_derived_cl3649, plain,
% 0.54/1.01 (![X0 : $i, X1 : $i]:
% 0.54/1.01 (((inverse @ X1) != (identity))
% 0.54/1.01 | ((X1) != (identity))
% 0.54/1.01 | ((inverse @ X0) != (identity))
% 0.54/1.01 | ((X0) != (identity)))),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl3648])).
% 0.54/1.01 thf(zip_derived_cl3650, plain,
% 0.54/1.01 (![X0 : $i]:
% 0.54/1.01 (((X0) != (identity))
% 0.54/1.01 | ((inverse @ X0) != (identity))
% 0.54/1.01 | ((inverse @ identity) != (identity)))),
% 0.54/1.01 inference('eq_res', [status(thm)], [zip_derived_cl3649])).
% 0.54/1.01 thf(zip_derived_cl1364, plain, (((identity) = (inverse @ identity))),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl1363])).
% 0.54/1.01 thf(zip_derived_cl3651, plain,
% 0.54/1.01 (![X0 : $i]:
% 0.54/1.01 (((X0) != (identity))
% 0.54/1.01 | ((inverse @ X0) != (identity))
% 0.54/1.01 | ((identity) != (identity)))),
% 0.54/1.01 inference('demod', [status(thm)],
% 0.54/1.01 [zip_derived_cl3650, zip_derived_cl1364])).
% 0.54/1.01 thf(zip_derived_cl3652, plain,
% 0.54/1.01 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl3651])).
% 0.54/1.01 thf(zip_derived_cl3653, plain, (((inverse @ identity) != (identity))),
% 0.54/1.01 inference('eq_res', [status(thm)], [zip_derived_cl3652])).
% 0.54/1.01 thf(zip_derived_cl1364, plain, (((identity) = (inverse @ identity))),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl1363])).
% 0.54/1.01 thf(zip_derived_cl3654, plain, (((identity) != (identity))),
% 0.54/1.01 inference('demod', [status(thm)],
% 0.54/1.01 [zip_derived_cl3653, zip_derived_cl1364])).
% 0.54/1.01 thf(zip_derived_cl3655, plain, ($false),
% 0.54/1.01 inference('simplify', [status(thm)], [zip_derived_cl3654])).
% 0.54/1.01
% 0.54/1.01 % SZS output end Refutation
% 0.54/1.01
% 0.54/1.01
% 0.54/1.01 % Terminating...
% 0.65/1.05 % Runner terminated.
% 0.65/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------