TSTP Solution File: GRP313-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP313-1 : 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.h6h1bnOnBi true
% Computer : n023.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 01:51:09 EDT 2023
% Result : Unsatisfiable 1.24s 1.05s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP313-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h6h1bnOnBi true
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 21:25:40 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.58/0.61 % Total configuration time : 435
% 0.58/0.61 % Estimated wc time : 1092
% 0.58/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.70/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.24/1.05 % Solved by fo/fo7.sh.
% 1.24/1.05 % done 1080 iterations in 0.299s
% 1.24/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.24/1.05 % SZS output start Refutation
% 1.24/1.05 thf(sk_c1_type, type, sk_c1: $i).
% 1.24/1.05 thf(sk_c7_type, type, sk_c7: $i).
% 1.24/1.05 thf(sk_c3_type, type, sk_c3: $i).
% 1.24/1.05 thf(sk_c6_type, type, sk_c6: $i).
% 1.24/1.05 thf(sk_c5_type, type, sk_c5: $i).
% 1.24/1.05 thf(identity_type, type, identity: $i).
% 1.24/1.05 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.24/1.05 thf(sk_c9_type, type, sk_c9: $i).
% 1.24/1.05 thf(inverse_type, type, inverse: $i > $i).
% 1.24/1.05 thf(sk_c4_type, type, sk_c4: $i).
% 1.24/1.05 thf(sk_c2_type, type, sk_c2: $i).
% 1.24/1.05 thf(sk_c8_type, type, sk_c8: $i).
% 1.24/1.05 thf(prove_this_50, conjecture,
% 1.24/1.05 (~( ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.24/1.05 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c7 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.24/1.05 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.24/1.05 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ X5 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.24/1.05 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) ) ))).
% 1.24/1.05 thf(zf_stmt_0, negated_conjecture,
% 1.24/1.05 (( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.24/1.05 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c7 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.24/1.05 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.24/1.05 ( ( inverse @ X5 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ X5 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.24/1.05 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_50])).
% 1.24/1.05 thf(zip_derived_cl52, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.24/1.05 (((inverse @ X0) != (sk_c7))
% 1.24/1.05 | ((multiply @ X0 @ sk_c7) != (sk_c9))
% 1.24/1.05 | ((multiply @ sk_c7 @ sk_c9) != (sk_c8))
% 1.24/1.05 | ((inverse @ X1) != (sk_c8))
% 1.24/1.05 | ((multiply @ X1 @ sk_c8) != (sk_c7))
% 1.24/1.05 | ((inverse @ X2) != (sk_c9))
% 1.24/1.05 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 1.24/1.05 | ((inverse @ X3) != (sk_c8))
% 1.24/1.05 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 1.24/1.05 | ((inverse @ X4) != (sk_c8))
% 1.24/1.05 | ((multiply @ X4 @ sk_c8) != (sk_c7))
% 1.24/1.05 | ((inverse @ X5) != (sk_c9))
% 1.24/1.05 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.24/1.05 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.24/1.05 thf(zip_derived_cl53, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.24/1.05 (((inverse @ X0) != (multiply @ sk_c8 @ sk_c9))
% 1.24/1.05 | ((multiply @ X0 @ (multiply @ sk_c8 @ sk_c9)) != (sk_c9))
% 1.24/1.05 | ((multiply @ (multiply @ sk_c8 @ sk_c9) @ sk_c9) != (sk_c8))
% 1.24/1.05 | ((inverse @ X1) != (sk_c8))
% 1.24/1.05 | ((multiply @ X1 @ sk_c8) != (multiply @ sk_c8 @ sk_c9))
% 1.24/1.05 | ((inverse @ X2) != (sk_c9))
% 1.24/1.05 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 1.24/1.05 | ((inverse @ X3) != (sk_c8))
% 1.24/1.05 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 1.24/1.05 | ((inverse @ X4) != (sk_c8))
% 1.24/1.05 | ((multiply @ X4 @ sk_c8) != (multiply @ sk_c8 @ sk_c9))
% 1.24/1.05 | ((inverse @ X5) != (sk_c9))
% 1.24/1.05 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.24/1.05 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 1.24/1.05 inference('local_rewriting', [status(thm)], [zip_derived_cl52])).
% 1.24/1.05 thf(associativity, axiom,
% 1.24/1.05 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.24/1.05 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.24/1.05 thf(zip_derived_cl2, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.24/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.24/1.05 inference('cnf', [status(esa)], [associativity])).
% 1.24/1.05 thf(zip_derived_cl78, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.24/1.05 (((inverse @ X0) != (multiply @ sk_c8 @ sk_c9))
% 1.24/1.05 | ((multiply @ X0 @ (multiply @ sk_c8 @ sk_c9)) != (sk_c9))
% 1.24/1.05 | ((multiply @ sk_c8 @ (multiply @ sk_c9 @ sk_c9)) != (sk_c8))
% 1.24/1.05 | ((inverse @ X1) != (sk_c8))
% 1.24/1.05 | ((multiply @ X1 @ sk_c8) != (multiply @ sk_c8 @ sk_c9))
% 1.24/1.05 | ((inverse @ X2) != (sk_c9))
% 1.24/1.05 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 1.24/1.05 | ((inverse @ X3) != (sk_c8))
% 1.24/1.05 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 1.24/1.05 | ((inverse @ X4) != (sk_c8))
% 1.24/1.05 | ((multiply @ X4 @ sk_c8) != (multiply @ sk_c8 @ sk_c9))
% 1.24/1.05 | ((inverse @ X5) != (sk_c9))
% 1.24/1.05 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.24/1.05 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl2])).
% 1.24/1.05 thf(prove_this_16, conjecture,
% 1.24/1.05 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 1.24/1.05 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.24/1.05 thf(zf_stmt_1, negated_conjecture,
% 1.24/1.05 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.24/1.05 thf(zip_derived_cl18, plain,
% 1.24/1.05 ((((inverse @ sk_c4) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.24/1.05 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl57, plain,
% 1.24/1.05 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 1.24/1.05 | ((inverse @ sk_c4) = (sk_c9)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl2, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.24/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.24/1.05 inference('cnf', [status(esa)], [associativity])).
% 1.24/1.05 thf(zip_derived_cl82, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((multiply @ identity @ X0)
% 1.24/1.05 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.24/1.05 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl138, plain,
% 1.24/1.05 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.24/1.05 | ((inverse @ sk_c4) = (sk_c9)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl110])).
% 1.24/1.05 thf(prove_this_9, conjecture,
% 1.24/1.05 (~( ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.24/1.05 thf(zf_stmt_2, negated_conjecture,
% 1.24/1.05 (( ( inverse @ sk_c4 ) = ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.24/1.05 thf(zip_derived_cl11, plain,
% 1.24/1.05 ((((inverse @ sk_c4) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.24/1.05 thf(zip_derived_cl371, plain,
% 1.24/1.05 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.24/1.05 = (sk_c8))
% 1.24/1.05 | ((inverse @ sk_c4) = (sk_c9))
% 1.24/1.05 | ((inverse @ sk_c4) = (sk_c9)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl138, zip_derived_cl11])).
% 1.24/1.05 thf(zip_derived_cl2, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.24/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.24/1.05 inference('cnf', [status(esa)], [associativity])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl385, plain,
% 1.24/1.05 ((((identity) = (sk_c8))
% 1.24/1.05 | ((inverse @ sk_c4) = (sk_c9))
% 1.24/1.05 | ((inverse @ sk_c4) = (sk_c9)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl371, zip_derived_cl2, zip_derived_cl0,
% 1.24/1.05 zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl386, plain,
% 1.24/1.05 ((((inverse @ sk_c4) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl385])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl391, plain,
% 1.24/1.05 ((((multiply @ sk_c9 @ sk_c4) = (identity)) | ((identity) = (sk_c8)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl386, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl540, plain,
% 1.24/1.05 ((((sk_c4) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.24/1.05 | ((identity) = (sk_c8)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl391, zip_derived_cl110])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl128, plain,
% 1.24/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl110])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl125, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl110])).
% 1.24/1.05 thf(zip_derived_cl704, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.05 thf(zip_derived_cl764, plain,
% 1.24/1.05 ((((sk_c4) = (inverse @ sk_c9)) | ((identity) = (sk_c8)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl540, zip_derived_cl704])).
% 1.24/1.05 thf(prove_this_15, conjecture,
% 1.24/1.05 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.24/1.05 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.24/1.05 thf(zf_stmt_3, negated_conjecture,
% 1.24/1.05 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.24/1.05 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.24/1.05 thf(zip_derived_cl17, plain,
% 1.24/1.05 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.24/1.05 thf(zip_derived_cl704, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.05 thf(zip_derived_cl128, plain,
% 1.24/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl110])).
% 1.24/1.05 thf(zip_derived_cl772, plain,
% 1.24/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl704, zip_derived_cl128])).
% 1.24/1.05 thf(zip_derived_cl956, plain,
% 1.24/1.05 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl772])).
% 1.24/1.05 thf(prove_this_8, conjecture,
% 1.24/1.05 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.24/1.05 thf(zf_stmt_4, negated_conjecture,
% 1.24/1.05 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.24/1.05 thf(zip_derived_cl10, plain,
% 1.24/1.05 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 1.24/1.05 | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.24/1.05 thf(zip_derived_cl1371, plain,
% 1.24/1.05 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.24/1.05 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 1.24/1.05 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl956, zip_derived_cl10])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl1386, plain,
% 1.24/1.05 ((((identity) = (sk_c8))
% 1.24/1.05 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8))
% 1.24/1.05 | ((multiply @ sk_c4 @ sk_c9) = (sk_c8)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl1371, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl1387, plain,
% 1.24/1.05 ((((multiply @ sk_c4 @ sk_c9) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1386])).
% 1.24/1.05 thf(zip_derived_cl1885, plain,
% 1.24/1.05 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.24/1.05 | ((identity) = (sk_c8))
% 1.24/1.05 | ((identity) = (sk_c8)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl764, zip_derived_cl1387])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl1892, plain,
% 1.24/1.05 ((((identity) = (sk_c8))
% 1.24/1.05 | ((identity) = (sk_c8))
% 1.24/1.05 | ((identity) = (sk_c8)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl1885, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl704, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl704, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl704, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1942, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.24/1.05 (((inverse @ X0) != (sk_c9))
% 1.24/1.05 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.24/1.05 | ((multiply @ sk_c9 @ sk_c9) != (identity))
% 1.24/1.05 | ((inverse @ X1) != (identity))
% 1.24/1.05 | ((X1) != (sk_c9))
% 1.24/1.05 | ((inverse @ X2) != (sk_c9))
% 1.24/1.05 | ((multiply @ X2 @ sk_c9) != (identity))
% 1.24/1.05 | ((inverse @ X3) != (identity))
% 1.24/1.05 | ((X3) != (sk_c9))
% 1.24/1.05 | ((inverse @ X4) != (identity))
% 1.24/1.05 | ((X4) != (sk_c9))
% 1.24/1.05 | ((inverse @ X5) != (sk_c9))
% 1.24/1.05 | ((multiply @ X5 @ sk_c9) != (identity))
% 1.24/1.05 | ((sk_c9) != (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl78, zip_derived_cl1893, zip_derived_cl0,
% 1.24/1.05 zip_derived_cl1893, zip_derived_cl0, zip_derived_cl1893,
% 1.24/1.05 zip_derived_cl0, zip_derived_cl1893, zip_derived_cl1893,
% 1.24/1.05 zip_derived_cl1893, zip_derived_cl704, zip_derived_cl1893,
% 1.24/1.05 zip_derived_cl0, zip_derived_cl1893, zip_derived_cl1893,
% 1.24/1.05 zip_derived_cl1893, zip_derived_cl704, zip_derived_cl1893,
% 1.24/1.05 zip_derived_cl1893, zip_derived_cl704, zip_derived_cl1893,
% 1.24/1.05 zip_derived_cl0, zip_derived_cl1893, zip_derived_cl1893,
% 1.24/1.05 zip_derived_cl0])).
% 1.24/1.05 thf(prove_this_3, conjecture,
% 1.24/1.05 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.24/1.05 thf(zf_stmt_5, negated_conjecture,
% 1.24/1.05 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.24/1.05 thf(zip_derived_cl5, plain,
% 1.24/1.05 ((((multiply @ sk_c5 @ sk_c8) = (sk_c7))
% 1.24/1.05 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl704, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1899, plain, ((((sk_c5) = (sk_c7)) | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl5, zip_derived_cl1893, zip_derived_cl704,
% 1.24/1.05 zip_derived_cl1893, zip_derived_cl0])).
% 1.24/1.05 thf(prove_this_4, conjecture,
% 1.24/1.05 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.24/1.05 thf(zf_stmt_6, negated_conjecture,
% 1.24/1.05 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.24/1.05 thf(zip_derived_cl6, plain,
% 1.24/1.05 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1900, plain,
% 1.24/1.05 ((((inverse @ sk_c5) = (identity)) | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl6, zip_derived_cl1893, zip_derived_cl1893,
% 1.24/1.05 zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl772, plain,
% 1.24/1.05 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl704, zip_derived_cl128])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl939, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl772, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl1990, plain,
% 1.24/1.05 ((((multiply @ sk_c5 @ identity) = (identity)) | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl1900, zip_derived_cl939])).
% 1.24/1.05 thf(zip_derived_cl2, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.24/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.24/1.05 inference('cnf', [status(esa)], [associativity])).
% 1.24/1.05 thf(zip_derived_cl2829, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (((multiply @ identity @ X0)
% 1.24/1.05 = (multiply @ sk_c5 @ (multiply @ identity @ X0)))
% 1.24/1.05 | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl1990, zip_derived_cl2])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl2845, plain,
% 1.24/1.05 (![X0 : $i]: (((X0) = (multiply @ sk_c5 @ X0)) | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl2829, zip_derived_cl0, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl2903, plain,
% 1.24/1.05 (![X0 : $i]:
% 1.24/1.05 (((X0) = (multiply @ sk_c7 @ X0))
% 1.24/1.05 | ((sk_c9) = (sk_c7))
% 1.24/1.05 | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl1899, zip_derived_cl2845])).
% 1.24/1.05 thf(zip_derived_cl2909, plain,
% 1.24/1.05 (![X0 : $i]: (((sk_c9) = (sk_c7)) | ((X0) = (multiply @ sk_c7 @ X0)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl2903])).
% 1.24/1.05 thf(prove_this_7, conjecture,
% 1.24/1.05 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.24/1.05 thf(zf_stmt_7, negated_conjecture,
% 1.24/1.05 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.24/1.05 thf(zip_derived_cl9, plain,
% 1.24/1.05 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl56, plain,
% 1.24/1.05 ((((multiply @ sk_c7 @ sk_c6) = (identity))
% 1.24/1.05 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1934, plain,
% 1.24/1.05 ((((multiply @ sk_c7 @ sk_c6) = (identity)) | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl56, zip_derived_cl1893, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl2918, plain,
% 1.24/1.05 ((((sk_c6) = (identity)) | ((sk_c9) = (sk_c7)) | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl2909, zip_derived_cl1934])).
% 1.24/1.05 thf(zip_derived_cl2922, plain,
% 1.24/1.05 ((((sk_c9) = (sk_c7)) | ((sk_c6) = (identity)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl2918])).
% 1.24/1.05 thf(prove_this_6, conjecture,
% 1.24/1.05 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.24/1.05 thf(zf_stmt_8, negated_conjecture,
% 1.24/1.05 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.24/1.05 thf(zip_derived_cl8, plain,
% 1.24/1.05 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9))
% 1.24/1.05 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1902, plain,
% 1.24/1.05 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9)) | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl8, zip_derived_cl1893, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl2931, plain,
% 1.24/1.05 ((((multiply @ identity @ sk_c7) = (sk_c9))
% 1.24/1.05 | ((sk_c9) = (sk_c7))
% 1.24/1.05 | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl2922, zip_derived_cl1902])).
% 1.24/1.05 thf(zip_derived_cl2942, plain,
% 1.24/1.05 ((((sk_c9) = (sk_c7)) | ((multiply @ identity @ sk_c7) = (sk_c9)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl2931])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl3557, plain,
% 1.24/1.05 ((((sk_c7) = (multiply @ (inverse @ identity) @ sk_c9))
% 1.24/1.05 | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl2942, zip_derived_cl110])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl127, plain,
% 1.24/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl110])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl182, plain,
% 1.24/1.05 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl110])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl691, plain, (((inverse @ identity) = (identity))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl3564, plain, ((((sk_c7) = (sk_c9)) | ((sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl3557, zip_derived_cl691, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl3565, plain, (((sk_c7) = (sk_c9))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl3564])).
% 1.24/1.05 thf(zip_derived_cl3604, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.24/1.05 (((inverse @ X0) != (sk_c9))
% 1.24/1.05 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.24/1.05 | ((multiply @ sk_c9 @ sk_c9) != (identity))
% 1.24/1.05 | ((inverse @ X1) != (identity))
% 1.24/1.05 | ((X1) != (sk_c9))
% 1.24/1.05 | ((inverse @ X2) != (sk_c9))
% 1.24/1.05 | ((multiply @ X2 @ sk_c9) != (identity))
% 1.24/1.05 | ((inverse @ X3) != (identity))
% 1.24/1.05 | ((X3) != (sk_c9))
% 1.24/1.05 | ((inverse @ X4) != (identity))
% 1.24/1.05 | ((X4) != (sk_c9))
% 1.24/1.05 | ((inverse @ X5) != (sk_c9))
% 1.24/1.05 | ((multiply @ X5 @ sk_c9) != (identity))
% 1.24/1.05 | ((sk_c9) != (sk_c9)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl1942, zip_derived_cl3565])).
% 1.24/1.05 thf(zip_derived_cl3605, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.24/1.05 (((multiply @ X5 @ sk_c9) != (identity))
% 1.24/1.05 | ((inverse @ X5) != (sk_c9))
% 1.24/1.05 | ((X4) != (sk_c9))
% 1.24/1.05 | ((inverse @ X4) != (identity))
% 1.24/1.05 | ((X3) != (sk_c9))
% 1.24/1.05 | ((inverse @ X3) != (identity))
% 1.24/1.05 | ((multiply @ X2 @ sk_c9) != (identity))
% 1.24/1.05 | ((inverse @ X2) != (sk_c9))
% 1.24/1.05 | ((X1) != (sk_c9))
% 1.24/1.05 | ((inverse @ X1) != (identity))
% 1.24/1.05 | ((multiply @ sk_c9 @ sk_c9) != (identity))
% 1.24/1.05 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.24/1.05 | ((inverse @ X0) != (sk_c9)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl3604])).
% 1.24/1.05 thf(prove_this_49, conjecture,
% 1.24/1.05 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.24/1.05 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.24/1.05 thf(zf_stmt_9, negated_conjecture,
% 1.24/1.05 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_49])).
% 1.24/1.05 thf(zip_derived_cl51, plain,
% 1.24/1.05 ((((inverse @ sk_c6) = (sk_c7)) | ((inverse @ sk_c3) = (sk_c8)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl65, plain,
% 1.24/1.05 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 1.24/1.05 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl136, plain,
% 1.24/1.05 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.24/1.05 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl110])).
% 1.24/1.05 thf(prove_this_42, conjecture,
% 1.24/1.05 (~( ( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.24/1.05 thf(zf_stmt_10, negated_conjecture,
% 1.24/1.05 (( ( inverse @ sk_c6 ) = ( sk_c7 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c9 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 1.24/1.05 thf(zip_derived_cl44, plain,
% 1.24/1.05 ((((inverse @ sk_c6) = (sk_c7)) | ((multiply @ sk_c3 @ sk_c8) = (sk_c9)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.24/1.05 thf(zip_derived_cl288, plain,
% 1.24/1.05 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.24/1.05 = (sk_c9))
% 1.24/1.05 | ((inverse @ sk_c6) = (sk_c7))
% 1.24/1.05 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl44])).
% 1.24/1.05 thf(zip_derived_cl2, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.05 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.24/1.05 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.24/1.05 inference('cnf', [status(esa)], [associativity])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl301, plain,
% 1.24/1.05 ((((identity) = (sk_c9))
% 1.24/1.05 | ((inverse @ sk_c6) = (sk_c7))
% 1.24/1.05 | ((inverse @ sk_c6) = (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl288, zip_derived_cl2, zip_derived_cl0,
% 1.24/1.05 zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl302, plain,
% 1.24/1.05 ((((inverse @ sk_c6) = (sk_c7)) | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl301])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl305, plain,
% 1.24/1.05 ((((multiply @ sk_c7 @ sk_c6) = (identity)) | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl302, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl444, plain,
% 1.24/1.05 ((((sk_c6) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.24/1.05 | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl305, zip_derived_cl110])).
% 1.24/1.05 thf(zip_derived_cl704, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.05 thf(zip_derived_cl759, plain,
% 1.24/1.05 ((((sk_c6) = (inverse @ sk_c7)) | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl444, zip_derived_cl704])).
% 1.24/1.05 thf(zip_derived_cl8, plain,
% 1.24/1.05 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9))
% 1.24/1.05 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.24/1.05 thf(zip_derived_cl801, plain,
% 1.24/1.05 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c9))
% 1.24/1.05 | ((identity) = (sk_c9))
% 1.24/1.05 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl759, zip_derived_cl8])).
% 1.24/1.05 thf(zip_derived_cl1, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.05 thf(zip_derived_cl810, plain,
% 1.24/1.05 ((((identity) = (sk_c9))
% 1.24/1.05 | ((identity) = (sk_c9))
% 1.24/1.05 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl801, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl811, plain,
% 1.24/1.05 ((((multiply @ sk_c8 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl810])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl0, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.05 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.05 thf(zip_derived_cl1961, plain,
% 1.24/1.05 ((((sk_c9) = (sk_c7)) | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('demod', [status(thm)],
% 1.24/1.05 [zip_derived_cl811, zip_derived_cl1893, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl305, plain,
% 1.24/1.05 ((((multiply @ sk_c7 @ sk_c6) = (identity)) | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl302, zip_derived_cl1])).
% 1.24/1.05 thf(zip_derived_cl2026, plain,
% 1.24/1.05 ((((multiply @ sk_c9 @ sk_c6) = (identity))
% 1.24/1.05 | ((identity) = (sk_c9))
% 1.24/1.05 | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl1961, zip_derived_cl305])).
% 1.24/1.05 thf(zip_derived_cl2031, plain,
% 1.24/1.05 ((((identity) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c6) = (identity)))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl2026])).
% 1.24/1.05 thf(zip_derived_cl110, plain,
% 1.24/1.05 (![X0 : $i, X1 : $i]:
% 1.24/1.05 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl0])).
% 1.24/1.05 thf(zip_derived_cl3085, plain,
% 1.24/1.05 ((((sk_c6) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.24/1.05 | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl2031, zip_derived_cl110])).
% 1.24/1.05 thf(zip_derived_cl704, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.05 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.05 thf(zip_derived_cl3098, plain,
% 1.24/1.05 ((((sk_c6) = (inverse @ sk_c9)) | ((identity) = (sk_c9)))),
% 1.24/1.05 inference('demod', [status(thm)], [zip_derived_cl3085, zip_derived_cl704])).
% 1.24/1.05 thf(prove_this_27, conjecture,
% 1.24/1.05 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.24/1.05 thf(zf_stmt_11, negated_conjecture,
% 1.24/1.05 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.24/1.05 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c7 ) )),
% 1.24/1.05 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.24/1.05 thf(zip_derived_cl29, plain,
% 1.24/1.05 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9))
% 1.24/1.05 | ((multiply @ sk_c2 @ sk_c8) = (sk_c7)))),
% 1.24/1.05 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.24/1.05 thf(zip_derived_cl3565, plain, (((sk_c7) = (sk_c9))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl3564])).
% 1.24/1.05 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.05 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.05 thf(zip_derived_cl704, plain,
% 1.24/1.05 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.06 thf(zip_derived_cl3565, plain, (((sk_c7) = (sk_c9))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl3564])).
% 1.24/1.06 thf(zip_derived_cl5579, plain,
% 1.24/1.06 ((((multiply @ sk_c6 @ sk_c9) = (sk_c9)) | ((sk_c2) = (sk_c9)))),
% 1.24/1.06 inference('demod', [status(thm)],
% 1.24/1.06 [zip_derived_cl29, zip_derived_cl3565, zip_derived_cl1893,
% 1.24/1.06 zip_derived_cl704, zip_derived_cl3565])).
% 1.24/1.06 thf(prove_this_34, conjecture,
% 1.24/1.06 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.24/1.06 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.24/1.06 thf(zf_stmt_12, negated_conjecture,
% 1.24/1.06 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.24/1.06 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.24/1.06 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 1.24/1.06 thf(zip_derived_cl36, plain,
% 1.24/1.06 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.24/1.06 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.24/1.06 thf(zip_derived_cl1893, plain, (((identity) = (sk_c8))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl1892])).
% 1.24/1.06 thf(zip_derived_cl1920, plain,
% 1.24/1.06 ((((multiply @ sk_c6 @ sk_c7) = (sk_c9))
% 1.24/1.06 | ((inverse @ sk_c2) = (identity)))),
% 1.24/1.06 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl1893])).
% 1.24/1.06 thf(zip_derived_cl3565, plain, (((sk_c7) = (sk_c9))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl3564])).
% 1.24/1.06 thf(zip_derived_cl3595, plain,
% 1.24/1.06 ((((multiply @ sk_c6 @ sk_c9) = (sk_c9))
% 1.24/1.06 | ((inverse @ sk_c2) = (identity)))),
% 1.24/1.06 inference('demod', [status(thm)],
% 1.24/1.06 [zip_derived_cl1920, zip_derived_cl3565])).
% 1.24/1.06 thf(zip_derived_cl5592, plain,
% 1.24/1.06 ((((inverse @ sk_c9) = (identity))
% 1.24/1.06 | ((multiply @ sk_c6 @ sk_c9) = (sk_c9))
% 1.24/1.06 | ((multiply @ sk_c6 @ sk_c9) = (sk_c9)))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl5579, zip_derived_cl3595])).
% 1.24/1.06 thf(zip_derived_cl5612, plain,
% 1.24/1.06 ((((multiply @ sk_c6 @ sk_c9) = (sk_c9))
% 1.24/1.06 | ((inverse @ sk_c9) = (identity)))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5592])).
% 1.24/1.06 thf(zip_derived_cl5624, plain,
% 1.24/1.06 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c9))
% 1.24/1.06 | ((identity) = (sk_c9))
% 1.24/1.06 | ((inverse @ sk_c9) = (identity)))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl3098, zip_derived_cl5612])).
% 1.24/1.06 thf(zip_derived_cl1, plain,
% 1.24/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.24/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.24/1.06 thf(zip_derived_cl5626, plain,
% 1.24/1.06 ((((identity) = (sk_c9))
% 1.24/1.06 | ((identity) = (sk_c9))
% 1.24/1.06 | ((inverse @ sk_c9) = (identity)))),
% 1.24/1.06 inference('demod', [status(thm)], [zip_derived_cl5624, zip_derived_cl1])).
% 1.24/1.06 thf(zip_derived_cl5627, plain,
% 1.24/1.06 ((((inverse @ sk_c9) = (identity)) | ((identity) = (sk_c9)))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5626])).
% 1.24/1.06 thf(zip_derived_cl772, plain,
% 1.24/1.06 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl704, zip_derived_cl128])).
% 1.24/1.06 thf(zip_derived_cl5633, plain,
% 1.24/1.06 ((((sk_c9) = (inverse @ identity)) | ((identity) = (sk_c9)))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl5627, zip_derived_cl772])).
% 1.24/1.06 thf(zip_derived_cl691, plain, (((inverse @ identity) = (identity))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 1.24/1.06 thf(zip_derived_cl5637, plain,
% 1.24/1.06 ((((sk_c9) = (identity)) | ((identity) = (sk_c9)))),
% 1.24/1.06 inference('demod', [status(thm)], [zip_derived_cl5633, zip_derived_cl691])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl704, plain,
% 1.24/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl704, plain,
% 1.24/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl0, plain,
% 1.24/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.24/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl704, plain,
% 1.24/1.06 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl128, zip_derived_cl125])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl5638, plain, (((sk_c9) = (identity))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5637])).
% 1.24/1.06 thf(zip_derived_cl5696, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.24/1.06 (((X5) != (identity))
% 1.24/1.06 | ((inverse @ X5) != (identity))
% 1.24/1.06 | ((X4) != (identity))
% 1.24/1.06 | ((inverse @ X4) != (identity))
% 1.24/1.06 | ((X3) != (identity))
% 1.24/1.06 | ((inverse @ X3) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((identity) != (identity))
% 1.24/1.06 | ((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity)))),
% 1.24/1.06 inference('demod', [status(thm)],
% 1.24/1.06 [zip_derived_cl3605, zip_derived_cl5638, zip_derived_cl704,
% 1.24/1.06 zip_derived_cl5638, zip_derived_cl5638, zip_derived_cl5638,
% 1.24/1.06 zip_derived_cl5638, zip_derived_cl704, zip_derived_cl5638,
% 1.24/1.06 zip_derived_cl5638, zip_derived_cl5638, zip_derived_cl5638,
% 1.24/1.06 zip_derived_cl0, zip_derived_cl5638, zip_derived_cl704,
% 1.24/1.06 zip_derived_cl5638, zip_derived_cl5638])).
% 1.24/1.06 thf(zip_derived_cl5697, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.24/1.06 (((inverse @ X0) != (identity))
% 1.24/1.06 | ((X0) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X3) != (identity))
% 1.24/1.06 | ((X3) != (identity))
% 1.24/1.06 | ((inverse @ X4) != (identity))
% 1.24/1.06 | ((X4) != (identity))
% 1.24/1.06 | ((inverse @ X5) != (identity))
% 1.24/1.06 | ((X5) != (identity)))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5696])).
% 1.24/1.06 thf(zip_derived_cl5742, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((X3) != (identity))
% 1.24/1.06 | ((inverse @ X3) != (identity))
% 1.24/1.06 | ((X4) != (identity))
% 1.24/1.06 | ((inverse @ X4) != (identity))
% 1.24/1.06 | ((inverse @ identity) != (identity)))),
% 1.24/1.06 inference('eq_res', [status(thm)], [zip_derived_cl5697])).
% 1.24/1.06 thf(zip_derived_cl691, plain, (((inverse @ identity) = (identity))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 1.24/1.06 thf(zip_derived_cl5743, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((X3) != (identity))
% 1.24/1.06 | ((inverse @ X3) != (identity))
% 1.24/1.06 | ((X4) != (identity))
% 1.24/1.06 | ((inverse @ X4) != (identity))
% 1.24/1.06 | ((identity) != (identity)))),
% 1.24/1.06 inference('demod', [status(thm)], [zip_derived_cl5742, zip_derived_cl691])).
% 1.24/1.06 thf(zip_derived_cl5744, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.24/1.06 (((inverse @ X4) != (identity))
% 1.24/1.06 | ((X4) != (identity))
% 1.24/1.06 | ((inverse @ X3) != (identity))
% 1.24/1.06 | ((X3) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X0) != (identity)))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5743])).
% 1.24/1.06 thf(zip_derived_cl5745, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((X3) != (identity))
% 1.24/1.06 | ((inverse @ X3) != (identity))
% 1.24/1.06 | ((inverse @ identity) != (identity)))),
% 1.24/1.06 inference('eq_res', [status(thm)], [zip_derived_cl5744])).
% 1.24/1.06 thf(zip_derived_cl691, plain, (((inverse @ identity) = (identity))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 1.24/1.06 thf(zip_derived_cl5746, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((X3) != (identity))
% 1.24/1.06 | ((inverse @ X3) != (identity))
% 1.24/1.06 | ((identity) != (identity)))),
% 1.24/1.06 inference('demod', [status(thm)], [zip_derived_cl5745, zip_derived_cl691])).
% 1.24/1.06 thf(zip_derived_cl5747, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.24/1.06 (((inverse @ X3) != (identity))
% 1.24/1.06 | ((X3) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X0) != (identity)))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5746])).
% 1.24/1.06 thf(zip_derived_cl5748, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((inverse @ identity) != (identity)))),
% 1.24/1.06 inference('eq_res', [status(thm)], [zip_derived_cl5747])).
% 1.24/1.06 thf(zip_derived_cl691, plain, (((inverse @ identity) = (identity))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 1.24/1.06 thf(zip_derived_cl5749, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X2) != (identity))
% 1.24/1.06 | ((identity) != (identity)))),
% 1.24/1.06 inference('demod', [status(thm)], [zip_derived_cl5748, zip_derived_cl691])).
% 1.24/1.06 thf(zip_derived_cl5750, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.24/1.06 (((inverse @ X2) != (identity))
% 1.24/1.06 | ((X2) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X0) != (identity)))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5749])).
% 1.24/1.06 thf(zip_derived_cl5751, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((inverse @ identity) != (identity)))),
% 1.24/1.06 inference('eq_res', [status(thm)], [zip_derived_cl5750])).
% 1.24/1.06 thf(zip_derived_cl691, plain, (((inverse @ identity) = (identity))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 1.24/1.06 thf(zip_derived_cl5752, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X1) != (identity))
% 1.24/1.06 | ((identity) != (identity)))),
% 1.24/1.06 inference('demod', [status(thm)], [zip_derived_cl5751, zip_derived_cl691])).
% 1.24/1.06 thf(zip_derived_cl5753, plain,
% 1.24/1.06 (![X0 : $i, X1 : $i]:
% 1.24/1.06 (((inverse @ X1) != (identity))
% 1.24/1.06 | ((X1) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((X0) != (identity)))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5752])).
% 1.24/1.06 thf(zip_derived_cl5754, plain,
% 1.24/1.06 (![X0 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((inverse @ identity) != (identity)))),
% 1.24/1.06 inference('eq_res', [status(thm)], [zip_derived_cl5753])).
% 1.24/1.06 thf(zip_derived_cl691, plain, (((inverse @ identity) = (identity))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 1.24/1.06 thf(zip_derived_cl5755, plain,
% 1.24/1.06 (![X0 : $i]:
% 1.24/1.06 (((X0) != (identity))
% 1.24/1.06 | ((inverse @ X0) != (identity))
% 1.24/1.06 | ((identity) != (identity)))),
% 1.24/1.06 inference('demod', [status(thm)], [zip_derived_cl5754, zip_derived_cl691])).
% 1.24/1.06 thf(zip_derived_cl5756, plain,
% 1.24/1.06 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5755])).
% 1.24/1.06 thf(zip_derived_cl5775, plain, (((inverse @ identity) != (identity))),
% 1.24/1.06 inference('eq_res', [status(thm)], [zip_derived_cl5756])).
% 1.24/1.06 thf(zip_derived_cl691, plain, (((inverse @ identity) = (identity))),
% 1.24/1.06 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl1])).
% 1.24/1.06 thf(zip_derived_cl5776, plain, (((identity) != (identity))),
% 1.24/1.06 inference('demod', [status(thm)], [zip_derived_cl5775, zip_derived_cl691])).
% 1.24/1.06 thf(zip_derived_cl5777, plain, ($false),
% 1.24/1.06 inference('simplify', [status(thm)], [zip_derived_cl5776])).
% 1.24/1.06
% 1.24/1.06 % SZS output end Refutation
% 1.24/1.06
% 1.24/1.06
% 1.24/1.06 % Terminating...
% 1.58/1.13 % Runner terminated.
% 1.58/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------