TSTP Solution File: GRP278-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP278-1 : 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.Lrq6dihdB5 true
% Computer : n001.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 01:51:01 EDT 2023
% Result : Unsatisfiable 1.34s 1.34s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP278-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Lrq6dihdB5 true
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:24:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/1.34 % Solved by fo/fo13.sh.
% 1.34/1.34 % done 1592 iterations in 0.549s
% 1.34/1.34 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/1.34 % SZS output start Refutation
% 1.34/1.34 thf(sk_c5_type, type, sk_c5: $i).
% 1.34/1.34 thf(sk_c3_type, type, sk_c3: $i).
% 1.34/1.34 thf(sk_c2_type, type, sk_c2: $i).
% 1.34/1.34 thf(identity_type, type, identity: $i).
% 1.34/1.34 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.34/1.34 thf(sk_c6_type, type, sk_c6: $i).
% 1.34/1.34 thf(inverse_type, type, inverse: $i > $i).
% 1.34/1.34 thf(sk_c4_type, type, sk_c4: $i).
% 1.34/1.34 thf(sk_c1_type, type, sk_c1: $i).
% 1.34/1.34 thf(prove_this_21, conjecture,
% 1.34/1.34 (~( ( ( multiply @ X3 @ sk_c4 ) != ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ X3 ) != ( sk_c5 ) ) |
% 1.34/1.34 ( ( multiply @ X1 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.34/1.34 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c4 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c6 @ sk_c4 ) != ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c4 ) != ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.34/1.34 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 1.34/1.34 thf(zf_stmt_0, negated_conjecture,
% 1.34/1.34 (( ( multiply @ X3 @ sk_c4 ) != ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ X3 ) != ( sk_c5 ) ) |
% 1.34/1.34 ( ( multiply @ X1 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.34/1.34 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c4 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c6 @ sk_c4 ) != ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c4 ) != ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.34/1.34 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.34/1.34 thf(zip_derived_cl23, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 (((multiply @ X0 @ sk_c4) != (sk_c5))
% 1.34/1.34 | ((inverse @ X0) != (sk_c5))
% 1.34/1.34 | ((multiply @ X1 @ sk_c5) != (sk_c6))
% 1.34/1.34 | ((inverse @ X1) != (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c5 @ sk_c6) != (sk_c4))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c4) != (sk_c5))
% 1.34/1.34 | ((inverse @ sk_c4) != (sk_c5))
% 1.34/1.34 | ((inverse @ X2) != (sk_c6))
% 1.34/1.34 | ((multiply @ X2 @ sk_c6) != (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/1.34 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(associativity, axiom,
% 1.34/1.34 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.34/1.34 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.34/1.34 thf(zip_derived_cl2, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/1.34 inference('cnf', [status(esa)], [associativity])).
% 1.34/1.34 thf(zip_derived_cl39, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((multiply @ identity @ X0)
% 1.34/1.34 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.34/1.34 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl126, plain,
% 1.34/1.34 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl123, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl2926, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 1.34/1.34 thf(prove_this_10, conjecture,
% 1.34/1.34 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.34/1.34 thf(zf_stmt_1, negated_conjecture,
% 1.34/1.34 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.34/1.34 thf(zip_derived_cl12, plain,
% 1.34/1.34 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl32, plain,
% 1.34/1.34 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl1])).
% 1.34/1.34 thf(prove_this_9, conjecture,
% 1.34/1.34 (~( ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.34/1.34 thf(zf_stmt_2, negated_conjecture,
% 1.34/1.34 (( ( inverse @ sk_c3 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.34/1.34 thf(zip_derived_cl11, plain,
% 1.34/1.34 ((((inverse @ sk_c3) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl26, plain,
% 1.34/1.34 ((((inverse @ sk_c1) = (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c5 @ sk_c3) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl47, plain,
% 1.34/1.34 ((((multiply @ sk_c5 @ sk_c3) = (identity))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl2, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/1.34 inference('cnf', [status(esa)], [associativity])).
% 1.34/1.34 thf(zip_derived_cl84, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((multiply @ identity @ X0)
% 1.34/1.34 = (multiply @ sk_c5 @ (multiply @ sk_c3 @ X0))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl2])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl85, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((X0) = (multiply @ sk_c5 @ (multiply @ sk_c3 @ X0))))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl1403, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((sk_c4) = (multiply @ sk_c5 @ sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl85])).
% 1.34/1.34 thf(zip_derived_cl1409, plain,
% 1.34/1.34 ((((sk_c4) = (multiply @ sk_c5 @ sk_c5))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1403])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl1413, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((sk_c5) = (multiply @ (inverse @ sk_c5) @ sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl1409, zip_derived_cl41])).
% 1.34/1.34 thf(prove_this_6, conjecture,
% 1.34/1.34 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.34/1.34 thf(zf_stmt_3, negated_conjecture,
% 1.34/1.34 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.34/1.34 thf(zip_derived_cl8, plain,
% 1.34/1.34 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl30, plain,
% 1.34/1.34 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl139, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl1437, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl1413, zip_derived_cl139])).
% 1.34/1.34 thf(zip_derived_cl1440, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1437])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl1443, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl1440, zip_derived_cl41])).
% 1.34/1.34 thf(prove_this_7, conjecture,
% 1.34/1.34 (~( ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.34/1.34 thf(zf_stmt_4, negated_conjecture,
% 1.34/1.34 (( ( inverse @ sk_c2 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.34/1.34 thf(zip_derived_cl9, plain,
% 1.34/1.34 ((((inverse @ sk_c2) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl24, plain,
% 1.34/1.34 ((((inverse @ sk_c1) = (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c2) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.34/1.34 thf(prove_this_5, conjecture,
% 1.34/1.34 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.34/1.34 thf(zf_stmt_5, negated_conjecture,
% 1.34/1.34 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.34/1.34 thf(zip_derived_cl7, plain,
% 1.34/1.34 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.34/1.34 thf(prove_this_4, conjecture,
% 1.34/1.34 (~( ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.34/1.34 thf(zf_stmt_6, negated_conjecture,
% 1.34/1.34 (( ( inverse @ sk_c3 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.34/1.34 thf(zip_derived_cl6, plain,
% 1.34/1.34 ((((inverse @ sk_c3) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl29, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c5 @ sk_c3) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl2, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/1.34 inference('cnf', [status(esa)], [associativity])).
% 1.34/1.34 thf(zip_derived_cl57, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ identity @ X0)
% 1.34/1.34 = (multiply @ sk_c5 @ (multiply @ sk_c3 @ X0))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl2])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl58, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((X0) = (multiply @ sk_c5 @ (multiply @ sk_c3 @ X0))))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl100, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c4) = (multiply @ sk_c5 @ sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl58])).
% 1.34/1.34 thf(zip_derived_cl104, plain,
% 1.34/1.34 ((((sk_c4) = (multiply @ sk_c5 @ sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl100])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl140, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (multiply @ (inverse @ sk_c5) @ sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl41])).
% 1.34/1.34 thf(prove_this_1, conjecture,
% 1.34/1.34 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.34/1.34 thf(zf_stmt_7, negated_conjecture,
% 1.34/1.34 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.34/1.34 thf(zip_derived_cl3, plain,
% 1.34/1.34 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl137, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl213, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl140, zip_derived_cl137])).
% 1.34/1.34 thf(zip_derived_cl215, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl213])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl217, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl234, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c1)) @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl245, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.34/1.34 | ((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl234])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl250, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.34/1.34 | ((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (identity)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl245, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl266, plain,
% 1.34/1.34 ((((sk_c5) = (identity))
% 1.34/1.34 | ((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl250, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl1457, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (identity))
% 1.34/1.34 | ((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c2) = (sk_c1)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl1443, zip_derived_cl266])).
% 1.34/1.34 thf(zip_derived_cl1459, plain,
% 1.34/1.34 ((((sk_c2) = (sk_c1)) | ((sk_c5) = (identity)) | ((sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1457])).
% 1.34/1.34 thf(zip_derived_cl9, plain,
% 1.34/1.34 ((((inverse @ sk_c2) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.34/1.34 thf(zip_derived_cl1462, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (identity))
% 1.34/1.34 | ((inverse @ sk_c1) = (sk_c6))
% 1.34/1.34 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl1459, zip_derived_cl9])).
% 1.34/1.34 thf(zip_derived_cl1513, plain,
% 1.34/1.34 ((((inverse @ sk_c1) = (sk_c6))
% 1.34/1.34 | ((sk_c5) = (identity))
% 1.34/1.34 | ((sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1462])).
% 1.34/1.34 thf(zip_derived_cl234, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (multiply @ (inverse @ (inverse @ sk_c1)) @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl217, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl1562, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (identity))
% 1.34/1.34 | ((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl1513, zip_derived_cl234])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl1565, plain,
% 1.34/1.34 ((((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (identity))
% 1.34/1.34 | ((sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (identity)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl1562, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl1566, plain,
% 1.34/1.34 ((((sk_c5) = (identity)) | ((sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1565])).
% 1.34/1.34 thf(prove_this_8, conjecture,
% 1.34/1.34 (~( ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c1 ) = ( sk_c6 ) ) ))).
% 1.34/1.34 thf(zf_stmt_8, negated_conjecture,
% 1.34/1.34 (( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c1 ) = ( sk_c6 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.34/1.34 thf(zip_derived_cl10, plain,
% 1.34/1.34 ((((multiply @ sk_c2 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl31, plain,
% 1.34/1.34 ((((multiply @ sk_c2 @ sk_c5) = (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl24, plain,
% 1.34/1.34 ((((inverse @ sk_c1) = (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c2) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl45, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl2, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/1.34 inference('cnf', [status(esa)], [associativity])).
% 1.34/1.34 thf(zip_derived_cl80, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((multiply @ identity @ X0)
% 1.34/1.34 = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl2])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl81, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl1250, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl81])).
% 1.34/1.34 thf(zip_derived_cl1263, plain,
% 1.34/1.34 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1250])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl1268, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl1263, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl1635, plain,
% 1.34/1.34 ((((sk_c5) = (identity))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl1566, zip_derived_cl1268])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl1644, plain,
% 1.34/1.34 ((((sk_c5) = (identity))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c1) = (identity))
% 1.34/1.34 | ((sk_c6) = (identity)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl1635, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl1566, plain,
% 1.34/1.34 ((((sk_c5) = (identity)) | ((sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1565])).
% 1.34/1.34 thf(zip_derived_cl1640, plain,
% 1.34/1.34 ((((sk_c6) != (identity)) | ((sk_c5) = (identity)))),
% 1.34/1.34 inference('eq_fact', [status(thm)], [zip_derived_cl1566])).
% 1.34/1.34 thf(zip_derived_cl1958, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c1) = (identity)) | ((sk_c5) = (identity)))),
% 1.34/1.34 inference('clc', [status(thm)], [zip_derived_cl1644, zip_derived_cl1640])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl1960, plain,
% 1.34/1.34 ((((sk_c5) = (identity))
% 1.34/1.34 | ((sk_c1) = (multiply @ (inverse @ sk_c6) @ identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl1958, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl4562, plain,
% 1.34/1.34 ((((sk_c5) = (identity)) | ((sk_c1) = (inverse @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl2926, zip_derived_cl1960])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl4742, plain,
% 1.34/1.34 ((((sk_c5) = (identity)) | ((multiply @ sk_c1 @ sk_c6) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl4562, zip_derived_cl1])).
% 1.34/1.34 thf(prove_this_3, conjecture,
% 1.34/1.34 (~( ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.34/1.34 thf(zf_stmt_9, negated_conjecture,
% 1.34/1.34 (( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.34/1.34 thf(zip_derived_cl5, plain,
% 1.34/1.34 ((((multiply @ sk_c2 @ sk_c5) = (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.34/1.34 thf(prove_this_2, conjecture,
% 1.34/1.34 (~( ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.34/1.34 thf(zf_stmt_10, negated_conjecture,
% 1.34/1.34 (( ( inverse @ sk_c2 ) = ( sk_c6 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c5 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.34/1.34 thf(zip_derived_cl4, plain,
% 1.34/1.34 ((((inverse @ sk_c2) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl28, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c2) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl2, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/1.34 inference('cnf', [status(esa)], [associativity])).
% 1.34/1.34 thf(zip_derived_cl55, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ identity @ X0)
% 1.34/1.34 = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl56, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl89, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl56])).
% 1.34/1.34 thf(zip_derived_cl93, plain,
% 1.34/1.34 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl89])).
% 1.34/1.34 thf(zip_derived_cl3, plain,
% 1.34/1.34 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.34/1.34 thf(zip_derived_cl5, plain,
% 1.34/1.34 ((((multiply @ sk_c2 @ sk_c5) = (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.34/1.34 thf(zip_derived_cl2, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/1.34 inference('cnf', [status(esa)], [associativity])).
% 1.34/1.34 thf(zip_derived_cl50, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c6 @ X0)
% 1.34/1.34 = (multiply @ sk_c2 @ (multiply @ sk_c5 @ X0))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.34/1.34 thf(zip_derived_cl294, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c6) = (multiply @ sk_c2 @ sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl50])).
% 1.34/1.34 thf(zip_derived_cl307, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c6) = (multiply @ sk_c2 @ sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl294])).
% 1.34/1.34 thf(zip_derived_cl56, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl577, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c4) = (multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c6))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl307, zip_derived_cl56])).
% 1.34/1.34 thf(zip_derived_cl583, plain,
% 1.34/1.34 ((((sk_c4) = (multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c6)))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl577])).
% 1.34/1.34 thf(zip_derived_cl1890, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c4) = (multiply @ sk_c6 @ sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl583])).
% 1.34/1.34 thf(zip_derived_cl1892, plain,
% 1.34/1.34 ((((sk_c4) = (multiply @ sk_c6 @ sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1890])).
% 1.34/1.34 thf(zip_derived_cl93, plain,
% 1.34/1.34 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl89])).
% 1.34/1.34 thf(zip_derived_cl2, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/1.34 inference('cnf', [status(esa)], [associativity])).
% 1.34/1.34 thf(zip_derived_cl95, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c5 @ X0)
% 1.34/1.34 = (multiply @ sk_c6 @ (multiply @ sk_c6 @ X0))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl2])).
% 1.34/1.34 thf(zip_derived_cl1950, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c5 @ sk_c5) = (multiply @ sk_c6 @ sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl1892, zip_derived_cl95])).
% 1.34/1.34 thf(zip_derived_cl1956, plain,
% 1.34/1.34 ((((multiply @ sk_c5 @ sk_c5) = (multiply @ sk_c6 @ sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1950])).
% 1.34/1.34 thf(zip_derived_cl104, plain,
% 1.34/1.34 ((((sk_c4) = (multiply @ sk_c5 @ sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl100])).
% 1.34/1.34 thf(zip_derived_cl2056, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c4) = (multiply @ sk_c6 @ sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl1956, zip_derived_cl104])).
% 1.34/1.34 thf(zip_derived_cl2064, plain,
% 1.34/1.34 ((((sk_c4) = (multiply @ sk_c6 @ sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl2056])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl2066, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c4) = (multiply @ (inverse @ sk_c6) @ sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl2064, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl56, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((X0) = (multiply @ sk_c6 @ (multiply @ sk_c2 @ X0))))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl128, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c2 @ X0) = (multiply @ (inverse @ sk_c6) @ X0)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl3091, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c2 @ sk_c4) = (sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl2066, zip_derived_cl128])).
% 1.34/1.34 thf(zip_derived_cl3095, plain,
% 1.34/1.34 ((((multiply @ sk_c2 @ sk_c4) = (sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl3091])).
% 1.34/1.34 thf(zip_derived_cl307, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c6) = (multiply @ sk_c2 @ sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl294])).
% 1.34/1.34 thf(zip_derived_cl3146, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c6) = (sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl3095, zip_derived_cl307])).
% 1.34/1.34 thf(zip_derived_cl3154, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c6) = (sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl3146])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl3231, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c6) = (multiply @ (inverse @ sk_c6) @ sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl3154, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl128, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c2 @ X0) = (multiply @ (inverse @ sk_c6) @ X0)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl3631, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c2 @ sk_c4) = (sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl3231, zip_derived_cl128])).
% 1.34/1.34 thf(zip_derived_cl3638, plain,
% 1.34/1.34 ((((multiply @ sk_c2 @ sk_c4) = (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl3631])).
% 1.34/1.34 thf(zip_derived_cl104, plain,
% 1.34/1.34 ((((sk_c4) = (multiply @ sk_c5 @ sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl100])).
% 1.34/1.34 thf(zip_derived_cl50, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c6 @ X0)
% 1.34/1.34 = (multiply @ sk_c2 @ (multiply @ sk_c5 @ X0))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl2])).
% 1.34/1.34 thf(zip_derived_cl298, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c5) = (multiply @ sk_c2 @ sk_c4)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl50])).
% 1.34/1.34 thf(zip_derived_cl308, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c5) = (multiply @ sk_c2 @ sk_c4))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl298])).
% 1.34/1.34 thf(zip_derived_cl3711, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c5) = (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl3638, zip_derived_cl308])).
% 1.34/1.34 thf(zip_derived_cl3720, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c5) = (sk_c6))
% 1.34/1.34 | ((multiply @ sk_c1 @ sk_c6) = (sk_c5)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl3711])).
% 1.34/1.34 thf(zip_derived_cl41, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl3775, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (multiply @ (inverse @ sk_c6) @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl3720, zip_derived_cl41])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl3787, plain,
% 1.34/1.34 ((((multiply @ sk_c1 @ sk_c6) = (sk_c5)) | ((sk_c5) = (identity)))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl3775, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl6053, plain,
% 1.34/1.34 ((((sk_c5) = (identity))
% 1.34/1.34 | ((identity) = (sk_c5))
% 1.34/1.34 | ((sk_c5) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)],
% 1.34/1.34 [zip_derived_cl4742, zip_derived_cl3787])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl2926, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl6088, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 (((multiply @ X0 @ sk_c4) != (identity))
% 1.34/1.34 | ((inverse @ X0) != (identity))
% 1.34/1.34 | ((X1) != (sk_c6))
% 1.34/1.34 | ((inverse @ X1) != (sk_c6))
% 1.34/1.34 | ((sk_c6) != (sk_c4))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c4) != (identity))
% 1.34/1.34 | ((inverse @ sk_c4) != (identity))
% 1.34/1.34 | ((inverse @ X2) != (sk_c6))
% 1.34/1.34 | ((multiply @ X2 @ sk_c6) != (identity)))),
% 1.34/1.34 inference('demod', [status(thm)],
% 1.34/1.34 [zip_derived_cl23, zip_derived_cl6068, zip_derived_cl6068,
% 1.34/1.34 zip_derived_cl6068, zip_derived_cl2926, zip_derived_cl6068,
% 1.34/1.34 zip_derived_cl0, zip_derived_cl6068, zip_derived_cl6068,
% 1.34/1.34 zip_derived_cl6068])).
% 1.34/1.34 thf(prove_this_15, conjecture,
% 1.34/1.34 (~( ( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) ))).
% 1.34/1.34 thf(zf_stmt_11, negated_conjecture,
% 1.34/1.34 (( ( multiply @ sk_c3 @ sk_c4 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c4 ) = ( sk_c5 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.34/1.34 thf(zip_derived_cl17, plain,
% 1.34/1.34 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5)) | ((inverse @ sk_c4) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl35, plain,
% 1.34/1.34 ((((multiply @ sk_c3 @ sk_c4) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c5 @ sk_c4) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.34/1.34 thf(prove_this_14, conjecture,
% 1.34/1.34 (~( ( ( inverse @ sk_c3 ) = ( sk_c5 ) ) |
% 1.34/1.34 ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) ))).
% 1.34/1.34 thf(zf_stmt_12, negated_conjecture,
% 1.34/1.34 (( ( inverse @ sk_c3 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c4 ) = ( sk_c5 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.34/1.34 thf(zip_derived_cl16, plain,
% 1.34/1.34 ((((inverse @ sk_c3) = (sk_c5)) | ((inverse @ sk_c4) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl27, plain,
% 1.34/1.34 ((((inverse @ sk_c4) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c5 @ sk_c3) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl48, plain,
% 1.34/1.34 ((((multiply @ sk_c5 @ sk_c3) = (identity))
% 1.34/1.34 | ((multiply @ sk_c5 @ sk_c4) = (identity)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl2, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/1.34 inference('cnf', [status(esa)], [associativity])).
% 1.34/1.34 thf(zip_derived_cl86, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c5 @ sk_c4) = (identity))
% 1.34/1.34 | ((multiply @ identity @ X0)
% 1.34/1.34 = (multiply @ sk_c5 @ (multiply @ sk_c3 @ X0))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl2])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl87, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c5 @ sk_c4) = (identity))
% 1.34/1.34 | ((X0) = (multiply @ sk_c5 @ (multiply @ sk_c3 @ X0))))),
% 1.34/1.34 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl1551, plain,
% 1.34/1.34 ((((multiply @ sk_c5 @ sk_c4) = (identity))
% 1.34/1.34 | ((multiply @ sk_c5 @ sk_c4) = (identity))
% 1.34/1.34 | ((sk_c4) = (multiply @ sk_c5 @ sk_c5)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl87])).
% 1.34/1.34 thf(zip_derived_cl1556, plain,
% 1.34/1.34 ((((sk_c4) = (multiply @ sk_c5 @ sk_c5))
% 1.34/1.34 | ((multiply @ sk_c5 @ sk_c4) = (identity)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl1551])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl6227, plain,
% 1.34/1.34 ((((sk_c4) = (identity)) | ((sk_c4) = (identity)))),
% 1.34/1.34 inference('demod', [status(thm)],
% 1.34/1.34 [zip_derived_cl1556, zip_derived_cl6068, zip_derived_cl6068,
% 1.34/1.34 zip_derived_cl0, zip_derived_cl6068, zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl6228, plain, (((sk_c4) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6227])).
% 1.34/1.34 thf(zip_derived_cl2926, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 1.34/1.34 thf(zip_derived_cl2926, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 1.34/1.34 thf(prove_this_16, conjecture,
% 1.34/1.34 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c6 @ sk_c4 ) = ( sk_c5 ) ) ))).
% 1.34/1.34 thf(zf_stmt_13, negated_conjecture,
% 1.34/1.34 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c4 ) ) |
% 1.34/1.34 ( ( multiply @ sk_c6 @ sk_c4 ) = ( sk_c5 ) )),
% 1.34/1.34 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.34/1.34 thf(zip_derived_cl18, plain,
% 1.34/1.34 ((((multiply @ sk_c5 @ sk_c6) = (sk_c4))
% 1.34/1.34 | ((multiply @ sk_c6 @ sk_c4) = (sk_c5)))),
% 1.34/1.34 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.34/1.34 thf(zip_derived_cl2, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.34/1.34 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.34/1.34 inference('cnf', [status(esa)], [associativity])).
% 1.34/1.34 thf(zip_derived_cl52, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((multiply @ sk_c6 @ sk_c4) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c4 @ X0)
% 1.34/1.34 = (multiply @ sk_c5 @ (multiply @ sk_c6 @ X0))))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl2])).
% 1.34/1.34 thf(zip_derived_cl4579, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c4) = (sk_c5))
% 1.34/1.34 | ((multiply @ sk_c4 @ identity) = (multiply @ sk_c5 @ sk_c6)))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl2926, zip_derived_cl52])).
% 1.34/1.34 thf(zip_derived_cl2926, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 1.34/1.34 thf(zip_derived_cl4630, plain,
% 1.34/1.34 ((((multiply @ sk_c6 @ sk_c4) = (sk_c5))
% 1.34/1.34 | ((sk_c4) = (multiply @ sk_c5 @ sk_c6)))),
% 1.34/1.34 inference('demod', [status(thm)],
% 1.34/1.34 [zip_derived_cl4579, zip_derived_cl2926])).
% 1.34/1.34 thf(zip_derived_cl6228, plain, (((sk_c4) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6227])).
% 1.34/1.34 thf(zip_derived_cl2926, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl6228, plain, (((sk_c4) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6227])).
% 1.34/1.34 thf(zip_derived_cl6068, plain, (((sk_c5) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6053])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl6339, plain,
% 1.34/1.34 ((((sk_c6) = (identity)) | ((identity) = (sk_c6)))),
% 1.34/1.34 inference('demod', [status(thm)],
% 1.34/1.34 [zip_derived_cl4630, zip_derived_cl6228, zip_derived_cl2926,
% 1.34/1.34 zip_derived_cl6068, zip_derived_cl6228, zip_derived_cl6068,
% 1.34/1.34 zip_derived_cl0])).
% 1.34/1.34 thf(zip_derived_cl6340, plain, (((sk_c6) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6339])).
% 1.34/1.34 thf(zip_derived_cl6340, plain, (((sk_c6) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6339])).
% 1.34/1.34 thf(zip_derived_cl6340, plain, (((sk_c6) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6339])).
% 1.34/1.34 thf(zip_derived_cl6228, plain, (((sk_c4) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6227])).
% 1.34/1.34 thf(zip_derived_cl6340, plain, (((sk_c6) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6339])).
% 1.34/1.34 thf(zip_derived_cl6228, plain, (((sk_c4) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6227])).
% 1.34/1.34 thf(zip_derived_cl0, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_identity])).
% 1.34/1.34 thf(zip_derived_cl6228, plain, (((sk_c4) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6227])).
% 1.34/1.34 thf(zip_derived_cl2926, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 1.34/1.34 thf(zip_derived_cl1, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.34/1.34 inference('cnf', [status(esa)], [left_inverse])).
% 1.34/1.34 thf(zip_derived_cl4546, plain, (((inverse @ identity) = (identity))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl2926, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl6340, plain, (((sk_c6) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6339])).
% 1.34/1.34 thf(zip_derived_cl6340, plain, (((sk_c6) = (identity))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl6339])).
% 1.34/1.34 thf(zip_derived_cl2926, plain,
% 1.34/1.34 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 1.34/1.34 thf(zip_derived_cl8318, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 (((X0) != (identity))
% 1.34/1.34 | ((inverse @ X0) != (identity))
% 1.34/1.34 | ((X1) != (identity))
% 1.34/1.34 | ((inverse @ X1) != (identity))
% 1.34/1.34 | ((identity) != (identity))
% 1.34/1.34 | ((identity) != (identity))
% 1.34/1.34 | ((identity) != (identity))
% 1.34/1.34 | ((inverse @ X2) != (identity))
% 1.34/1.34 | ((X2) != (identity)))),
% 1.34/1.34 inference('demod', [status(thm)],
% 1.34/1.34 [zip_derived_cl6088, zip_derived_cl6228, zip_derived_cl2926,
% 1.34/1.34 zip_derived_cl6340, zip_derived_cl6340, zip_derived_cl6340,
% 1.34/1.34 zip_derived_cl6228, zip_derived_cl6340, zip_derived_cl6228,
% 1.34/1.34 zip_derived_cl0, zip_derived_cl6228, zip_derived_cl4546,
% 1.34/1.34 zip_derived_cl6340, zip_derived_cl6340, zip_derived_cl2926])).
% 1.34/1.34 thf(zip_derived_cl8319, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.34/1.34 (((X2) != (identity))
% 1.34/1.34 | ((inverse @ X2) != (identity))
% 1.34/1.34 | ((inverse @ X1) != (identity))
% 1.34/1.34 | ((X1) != (identity))
% 1.34/1.34 | ((inverse @ X0) != (identity))
% 1.34/1.34 | ((X0) != (identity)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl8318])).
% 1.34/1.34 thf(zip_derived_cl8320, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 (((X0) != (identity))
% 1.34/1.34 | ((inverse @ X0) != (identity))
% 1.34/1.34 | ((X1) != (identity))
% 1.34/1.34 | ((inverse @ X1) != (identity))
% 1.34/1.34 | ((inverse @ identity) != (identity)))),
% 1.34/1.34 inference('eq_res', [status(thm)], [zip_derived_cl8319])).
% 1.34/1.34 thf(zip_derived_cl4546, plain, (((inverse @ identity) = (identity))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl2926, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl8321, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 (((X0) != (identity))
% 1.34/1.34 | ((inverse @ X0) != (identity))
% 1.34/1.34 | ((X1) != (identity))
% 1.34/1.34 | ((inverse @ X1) != (identity))
% 1.34/1.34 | ((identity) != (identity)))),
% 1.34/1.34 inference('demod', [status(thm)],
% 1.34/1.34 [zip_derived_cl8320, zip_derived_cl4546])).
% 1.34/1.34 thf(zip_derived_cl8322, plain,
% 1.34/1.34 (![X0 : $i, X1 : $i]:
% 1.34/1.34 (((inverse @ X1) != (identity))
% 1.34/1.34 | ((X1) != (identity))
% 1.34/1.34 | ((inverse @ X0) != (identity))
% 1.34/1.34 | ((X0) != (identity)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl8321])).
% 1.34/1.34 thf(zip_derived_cl8323, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((X0) != (identity))
% 1.34/1.34 | ((inverse @ X0) != (identity))
% 1.34/1.34 | ((inverse @ identity) != (identity)))),
% 1.34/1.34 inference('eq_res', [status(thm)], [zip_derived_cl8322])).
% 1.34/1.34 thf(zip_derived_cl4546, plain, (((inverse @ identity) = (identity))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl2926, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl8324, plain,
% 1.34/1.34 (![X0 : $i]:
% 1.34/1.34 (((X0) != (identity))
% 1.34/1.34 | ((inverse @ X0) != (identity))
% 1.34/1.34 | ((identity) != (identity)))),
% 1.34/1.34 inference('demod', [status(thm)],
% 1.34/1.34 [zip_derived_cl8323, zip_derived_cl4546])).
% 1.34/1.34 thf(zip_derived_cl8325, plain,
% 1.34/1.34 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl8324])).
% 1.34/1.34 thf(zip_derived_cl8326, plain, (((inverse @ identity) != (identity))),
% 1.34/1.34 inference('eq_res', [status(thm)], [zip_derived_cl8325])).
% 1.34/1.34 thf(zip_derived_cl4546, plain, (((inverse @ identity) = (identity))),
% 1.34/1.34 inference('s_sup+', [status(thm)], [zip_derived_cl2926, zip_derived_cl1])).
% 1.34/1.34 thf(zip_derived_cl8327, plain, (((identity) != (identity))),
% 1.34/1.34 inference('demod', [status(thm)],
% 1.34/1.34 [zip_derived_cl8326, zip_derived_cl4546])).
% 1.34/1.34 thf(zip_derived_cl8328, plain, ($false),
% 1.34/1.34 inference('simplify', [status(thm)], [zip_derived_cl8327])).
% 1.34/1.34
% 1.34/1.34 % SZS output end Refutation
% 1.34/1.34
% 1.34/1.34
% 1.34/1.34 % Terminating...
% 1.92/1.49 % Runner terminated.
% 1.92/1.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------