TSTP Solution File: GRP210-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP210-1 : 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.0sXKslWpNR true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:44 EDT 2023
% Result : Unsatisfiable 104.68s 15.56s
% Output : Refutation 104.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP210-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0sXKslWpNR true
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:45:24 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
% 0.14/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.93/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.93/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.93/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.93/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.93/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.93/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 104.68/15.56 % Solved by fo/fo7.sh.
% 104.68/15.56 % done 21052 iterations in 14.751s
% 104.68/15.56 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 104.68/15.56 % SZS output start Refutation
% 104.68/15.56 thf(sk_c6_type, type, sk_c6: $i).
% 104.68/15.56 thf(sk_c10_type, type, sk_c10: $i).
% 104.68/15.56 thf(sk_c7_type, type, sk_c7: $i).
% 104.68/15.56 thf(sk_c5_type, type, sk_c5: $i).
% 104.68/15.56 thf(sk_c9_type, type, sk_c9: $i).
% 104.68/15.56 thf(identity_type, type, identity: $i).
% 104.68/15.56 thf(multiply_type, type, multiply: $i > $i > $i).
% 104.68/15.56 thf(sk_c2_type, type, sk_c2: $i).
% 104.68/15.56 thf(inverse_type, type, inverse: $i > $i).
% 104.68/15.56 thf(sk_c4_type, type, sk_c4: $i).
% 104.68/15.56 thf(sk_c3_type, type, sk_c3: $i).
% 104.68/15.56 thf(sk_c8_type, type, sk_c8: $i).
% 104.68/15.56 thf(sk_c1_type, type, sk_c1: $i).
% 104.68/15.56 thf(prove_this_41, conjecture,
% 104.68/15.56 (~( ( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 104.68/15.56 ( ( inverse @ X3 ) != ( X2 ) ) |
% 104.68/15.56 ( ( multiply @ X3 @ X2 ) != ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ X6 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ X4 ) != ( X5 ) ) |
% 104.68/15.56 ( ( multiply @ X4 @ X5 ) != ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_0, negated_conjecture,
% 104.68/15.56 (( ( inverse @ X8 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ X8 @ sk_c10 ) != ( X7 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c10 @ X7 ) != ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 104.68/15.56 ( ( inverse @ X3 ) != ( X2 ) ) |
% 104.68/15.56 ( ( multiply @ X3 @ X2 ) != ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ X6 @ sk_c9 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ X6 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ X4 ) != ( X5 ) ) | ( ( multiply @ X4 @ X5 ) != ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 104.68/15.56 thf(zip_derived_cl43, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 104.68/15.56 (((inverse @ X0) != (sk_c10))
% 104.68/15.56 | ((multiply @ X0 @ sk_c10) != (X1))
% 104.68/15.56 | ((multiply @ sk_c10 @ X1) != (sk_c9))
% 104.68/15.56 | ((multiply @ X2 @ sk_c10) != (sk_c9))
% 104.68/15.56 | ((inverse @ X3) != (X2))
% 104.68/15.56 | ((multiply @ X3 @ X2) != (sk_c9))
% 104.68/15.56 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X4) != (sk_c10))
% 104.68/15.56 | ((multiply @ X5 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X5) != (sk_c10))
% 104.68/15.56 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X7) != (X6))
% 104.68/15.56 | ((multiply @ X7 @ X6) != (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_0])).
% 104.68/15.56 thf(prove_this_4, conjecture,
% 104.68/15.56 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_1, negated_conjecture,
% 104.68/15.56 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 104.68/15.56 thf(zip_derived_cl6, plain,
% 104.68/15.56 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_1])).
% 104.68/15.56 thf(prove_this_3, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_2, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 104.68/15.56 thf(zip_derived_cl5, plain,
% 104.68/15.56 ((((multiply @ sk_c5 @ sk_c6) = (sk_c9))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_2])).
% 104.68/15.56 thf(zip_derived_cl91, plain,
% 104.68/15.56 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c9))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl5])).
% 104.68/15.56 thf(zip_derived_cl94, plain,
% 104.68/15.56 ((((multiply @ sk_c1 @ sk_c2) = (sk_c10))
% 104.68/15.56 | ((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c9)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl91])).
% 104.68/15.56 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(associativity, axiom,
% 104.68/15.56 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 104.68/15.56 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 104.68/15.56 thf(zip_derived_cl2, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 104.68/15.56 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [associativity])).
% 104.68/15.56 thf(zip_derived_cl110, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((multiply @ identity @ X0)
% 104.68/15.56 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 104.68/15.56 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl160, plain,
% 104.68/15.56 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl157, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl146, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl160, plain,
% 104.68/15.56 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl1215, plain,
% 104.68/15.56 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1180, zip_derived_cl160])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl1332, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1215, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl1680, plain,
% 104.68/15.56 ((((multiply @ sk_c1 @ sk_c2) = (sk_c10)) | ((identity) = (sk_c9)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl94, zip_derived_cl1332])).
% 104.68/15.56 thf(prove_this_8, conjecture,
% 104.68/15.56 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_3, negated_conjecture,
% 104.68/15.56 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 104.68/15.56 thf(zip_derived_cl10, plain,
% 104.68/15.56 ((((inverse @ sk_c7) = (sk_c10))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_3])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl56, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ sk_c7) = (identity))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl170, plain,
% 104.68/15.56 ((((sk_c7) = (multiply @ (inverse @ sk_c10) @ identity))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl56, zip_derived_cl146])).
% 104.68/15.56 thf(prove_this_7, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_4, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 104.68/15.56 thf(zip_derived_cl9, plain,
% 104.68/15.56 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_4])).
% 104.68/15.56 thf(zip_derived_cl380, plain,
% 104.68/15.56 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 104.68/15.56 = (sk_c8))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl170, zip_derived_cl9])).
% 104.68/15.56 thf(zip_derived_cl2, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 104.68/15.56 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [associativity])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl389, plain,
% 104.68/15.56 ((((identity) = (sk_c8))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl380, zip_derived_cl2, zip_derived_cl0,
% 104.68/15.56 zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl390, plain,
% 104.68/15.56 ((((multiply @ sk_c1 @ sk_c2) = (sk_c10)) | ((identity) = (sk_c8)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl389])).
% 104.68/15.56 thf(prove_this_6, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_5, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 104.68/15.56 thf(zip_derived_cl8, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_5])).
% 104.68/15.56 thf(zip_derived_cl395, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl390, zip_derived_cl8])).
% 104.68/15.56 thf(zip_derived_cl400, plain,
% 104.68/15.56 ((((multiply @ sk_c1 @ sk_c2) = (sk_c10))
% 104.68/15.56 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl395])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1206, plain,
% 104.68/15.56 ((((multiply @ sk_c1 @ sk_c2) = (sk_c10)) | ((sk_c10) = (sk_c9)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl400, zip_derived_cl1180])).
% 104.68/15.56 thf(zip_derived_cl1760, plain,
% 104.68/15.56 ((((sk_c10) = (identity))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10))
% 104.68/15.56 | ((multiply @ sk_c1 @ sk_c2) = (sk_c10)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1680, zip_derived_cl1206])).
% 104.68/15.56 thf(zip_derived_cl1768, plain,
% 104.68/15.56 ((((multiply @ sk_c1 @ sk_c2) = (sk_c10)) | ((sk_c10) = (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl1760])).
% 104.68/15.56 thf(prove_this_12, conjecture,
% 104.68/15.56 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 104.68/15.56 thf(zf_stmt_6, negated_conjecture,
% 104.68/15.56 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 104.68/15.56 thf(zip_derived_cl14, plain,
% 104.68/15.56 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_6])).
% 104.68/15.56 thf(prove_this_11, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 104.68/15.56 thf(zf_stmt_7, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 104.68/15.56 thf(zip_derived_cl13, plain,
% 104.68/15.56 ((((multiply @ sk_c5 @ sk_c6) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_7])).
% 104.68/15.56 thf(zip_derived_cl72, plain,
% 104.68/15.56 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c9))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl13])).
% 104.68/15.56 thf(zip_derived_cl74, plain,
% 104.68/15.56 ((((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c9)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl72])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl178, plain,
% 104.68/15.56 ((((inverse @ sk_c5) = (multiply @ (inverse @ sk_c5) @ sk_c9))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl533, plain,
% 104.68/15.56 ((((sk_c9)
% 104.68/15.56 = (multiply @ (inverse @ (inverse @ sk_c5)) @ (inverse @ sk_c5)))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl541, plain,
% 104.68/15.56 ((((sk_c9) = (identity)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl533, zip_derived_cl1])).
% 104.68/15.56 thf(prove_this_16, conjecture,
% 104.68/15.56 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 104.68/15.56 thf(zf_stmt_8, negated_conjecture,
% 104.68/15.56 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 104.68/15.56 thf(zip_derived_cl18, plain,
% 104.68/15.56 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_8])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl47, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ sk_c7) = (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl169, plain,
% 104.68/15.56 ((((sk_c7) = (multiply @ (inverse @ sk_c10) @ identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl146])).
% 104.68/15.56 thf(prove_this_15, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 104.68/15.56 thf(zf_stmt_9, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 104.68/15.56 thf(zip_derived_cl17, plain,
% 104.68/15.56 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_9])).
% 104.68/15.56 thf(zip_derived_cl229, plain,
% 104.68/15.56 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 104.68/15.56 = (sk_c8))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl169, zip_derived_cl17])).
% 104.68/15.56 thf(zip_derived_cl2, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 104.68/15.56 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [associativity])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl236, plain,
% 104.68/15.56 ((((identity) = (sk_c8))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl229, zip_derived_cl2, zip_derived_cl0,
% 104.68/15.56 zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl237, plain,
% 104.68/15.56 ((((inverse @ sk_c1) = (sk_c2)) | ((identity) = (sk_c8)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl236])).
% 104.68/15.56 thf(prove_this_14, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 104.68/15.56 thf(zf_stmt_10, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 104.68/15.56 thf(zip_derived_cl16, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_10])).
% 104.68/15.56 thf(zip_derived_cl242, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ identity) = (sk_c9))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl237, zip_derived_cl16])).
% 104.68/15.56 thf(zip_derived_cl245, plain,
% 104.68/15.56 ((((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((multiply @ sk_c10 @ identity) = (sk_c9)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl242])).
% 104.68/15.56 thf(zip_derived_cl558, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ identity) = (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl541, zip_derived_cl245])).
% 104.68/15.56 thf(zip_derived_cl563, plain,
% 104.68/15.56 ((((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((multiply @ sk_c10 @ identity) = (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl558])).
% 104.68/15.56 thf(zip_derived_cl2, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 104.68/15.56 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [associativity])).
% 104.68/15.56 thf(zip_derived_cl570, plain,
% 104.68/15.56 (![X0 : $i]:
% 104.68/15.56 (((multiply @ identity @ X0)
% 104.68/15.56 = (multiply @ sk_c10 @ (multiply @ identity @ X0)))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl563, zip_derived_cl2])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl572, plain,
% 104.68/15.56 (![X0 : $i]:
% 104.68/15.56 (((X0) = (multiply @ sk_c10 @ X0)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl570, zip_derived_cl0, zip_derived_cl0])).
% 104.68/15.56 thf(prove_this_9, conjecture,
% 104.68/15.56 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 104.68/15.56 thf(zf_stmt_11, negated_conjecture,
% 104.68/15.56 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 104.68/15.56 thf(zip_derived_cl11, plain,
% 104.68/15.56 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_11])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl46, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ sk_c4) = (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl670, plain,
% 104.68/15.56 ((((sk_c4) = (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl572, zip_derived_cl46])).
% 104.68/15.56 thf(zip_derived_cl686, plain,
% 104.68/15.56 ((((inverse @ sk_c1) = (sk_c2)) | ((sk_c4) = (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl670])).
% 104.68/15.56 thf(zip_derived_cl541, plain,
% 104.68/15.56 ((((sk_c9) = (identity)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl533, zip_derived_cl1])).
% 104.68/15.56 thf(prove_this_10, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 104.68/15.56 thf(zf_stmt_12, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 104.68/15.56 thf(zip_derived_cl12, plain,
% 104.68/15.56 ((((multiply @ sk_c4 @ sk_c9) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_12])).
% 104.68/15.56 thf(zip_derived_cl543, plain,
% 104.68/15.56 ((((multiply @ sk_c4 @ identity) = (sk_c10))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl541, zip_derived_cl12])).
% 104.68/15.56 thf(zip_derived_cl560, plain,
% 104.68/15.56 ((((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((multiply @ sk_c4 @ identity) = (sk_c10)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl543])).
% 104.68/15.56 thf(zip_derived_cl698, plain,
% 104.68/15.56 ((((multiply @ identity @ identity) = (sk_c10))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl686, zip_derived_cl560])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl704, plain,
% 104.68/15.56 ((((identity) = (sk_c10))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl698, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl705, plain,
% 104.68/15.56 ((((inverse @ sk_c1) = (sk_c2)) | ((identity) = (sk_c10)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl704])).
% 104.68/15.56 thf(zip_derived_cl541, plain,
% 104.68/15.56 ((((sk_c9) = (identity)) | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl533, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl1215, plain,
% 104.68/15.56 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1180, zip_derived_cl160])).
% 104.68/15.56 thf(zip_derived_cl43, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 104.68/15.56 (((inverse @ X0) != (sk_c10))
% 104.68/15.56 | ((multiply @ X0 @ sk_c10) != (X1))
% 104.68/15.56 | ((multiply @ sk_c10 @ X1) != (sk_c9))
% 104.68/15.56 | ((multiply @ X2 @ sk_c10) != (sk_c9))
% 104.68/15.56 | ((inverse @ X3) != (X2))
% 104.68/15.56 | ((multiply @ X3 @ X2) != (sk_c9))
% 104.68/15.56 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X4) != (sk_c10))
% 104.68/15.56 | ((multiply @ X5 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X5) != (sk_c10))
% 104.68/15.56 | ((multiply @ X6 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X7) != (X6))
% 104.68/15.56 | ((multiply @ X7 @ X6) != (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_0])).
% 104.68/15.56 thf(zip_derived_cl1333, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 104.68/15.56 (((X0) != (sk_c10))
% 104.68/15.56 | ((multiply @ X2 @ X1) != (sk_c10))
% 104.68/15.56 | ((inverse @ X2) != (X1))
% 104.68/15.56 | ((multiply @ X1 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X3) != (sk_c10))
% 104.68/15.56 | ((multiply @ X3 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X4) != (sk_c10))
% 104.68/15.56 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((multiply @ X6 @ X5) != (sk_c9))
% 104.68/15.56 | ((inverse @ X6) != (X5))
% 104.68/15.56 | ((multiply @ X5 @ sk_c10) != (sk_c9))
% 104.68/15.56 | ((multiply @ sk_c10 @ X7) != (sk_c9))
% 104.68/15.56 | ((multiply @ (inverse @ X0) @ sk_c10) != (X7)))),
% 104.68/15.56 inference('sup-', [status(thm)], [zip_derived_cl1215, zip_derived_cl43])).
% 104.68/15.56 thf(zip_derived_cl1643, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 104.68/15.56 (((multiply @ (inverse @ sk_c10) @ sk_c10) != (X0))
% 104.68/15.56 | ((multiply @ sk_c10 @ X0) != (sk_c9))
% 104.68/15.56 | ((multiply @ X1 @ sk_c10) != (sk_c9))
% 104.68/15.56 | ((inverse @ X2) != (X1))
% 104.68/15.56 | ((multiply @ X2 @ X1) != (sk_c9))
% 104.68/15.56 | ((multiply @ X3 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X3) != (sk_c10))
% 104.68/15.56 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X4) != (sk_c10))
% 104.68/15.56 | ((multiply @ X5 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X6) != (X5))
% 104.68/15.56 | ((multiply @ X6 @ X5) != (sk_c10)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl1333])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl1644, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 104.68/15.56 (((identity) != (X0))
% 104.68/15.56 | ((multiply @ sk_c10 @ X0) != (sk_c9))
% 104.68/15.56 | ((multiply @ X1 @ sk_c10) != (sk_c9))
% 104.68/15.56 | ((inverse @ X2) != (X1))
% 104.68/15.56 | ((multiply @ X2 @ X1) != (sk_c9))
% 104.68/15.56 | ((multiply @ X3 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X3) != (sk_c10))
% 104.68/15.56 | ((multiply @ X4 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X4) != (sk_c10))
% 104.68/15.56 | ((multiply @ X5 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X6) != (X5))
% 104.68/15.56 | ((multiply @ X6 @ X5) != (sk_c10)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl1643, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl1645, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (sk_c10))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X0 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X2) != (sk_c10))
% 104.68/15.56 | ((multiply @ X2 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((inverse @ X3) != (sk_c10))
% 104.68/15.56 | ((multiply @ X3 @ sk_c9) != (sk_c10))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (sk_c9))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((multiply @ X4 @ sk_c10) != (sk_c9))
% 104.68/15.56 | ((multiply @ sk_c10 @ identity) != (sk_c9)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl1644])).
% 104.68/15.56 thf(zip_derived_cl1646, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (sk_c10))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X0 @ (multiply @ sk_c10 @ identity)) != (sk_c10))
% 104.68/15.56 | ((inverse @ X2) != (sk_c10))
% 104.68/15.56 | ((multiply @ X2 @ (multiply @ sk_c10 @ identity)) != (sk_c10))
% 104.68/15.56 | ((inverse @ X3) != (sk_c10))
% 104.68/15.56 | ((multiply @ X3 @ (multiply @ sk_c10 @ identity)) != (sk_c10))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (multiply @ sk_c10 @ identity))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((multiply @ X4 @ sk_c10) != (multiply @ sk_c10 @ identity))
% 104.68/15.56 | ((multiply @ sk_c10 @ identity) != (sk_c9)))),
% 104.68/15.56 inference('local_rewriting', [status(thm)], [zip_derived_cl1645])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1647, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (sk_c10))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X0 @ sk_c10) != (sk_c10))
% 104.68/15.56 | ((inverse @ X2) != (sk_c10))
% 104.68/15.56 | ((multiply @ X2 @ sk_c10) != (sk_c10))
% 104.68/15.56 | ((inverse @ X3) != (sk_c10))
% 104.68/15.56 | ((multiply @ X3 @ sk_c10) != (sk_c10))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (sk_c10))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((multiply @ X4 @ sk_c10) != (sk_c10))
% 104.68/15.56 | ((sk_c10) != (sk_c9)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl1646, zip_derived_cl1180, zip_derived_cl1180,
% 104.68/15.56 zip_derived_cl1180, zip_derived_cl1180, zip_derived_cl1180,
% 104.68/15.56 zip_derived_cl1180])).
% 104.68/15.56 thf(zip_derived_cl1651, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 104.68/15.56 (((sk_c10) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((multiply @ X0 @ sk_c10) != (sk_c10))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (sk_c10))
% 104.68/15.56 | ((multiply @ X2 @ sk_c10) != (sk_c10))
% 104.68/15.56 | ((inverse @ X2) != (sk_c10))
% 104.68/15.56 | ((multiply @ X3 @ sk_c10) != (sk_c10))
% 104.68/15.56 | ((inverse @ X3) != (sk_c10))
% 104.68/15.56 | ((multiply @ X4 @ sk_c10) != (sk_c10))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (sk_c10)))),
% 104.68/15.56 inference('sup-', [status(thm)], [zip_derived_cl541, zip_derived_cl1647])).
% 104.68/15.56 thf(zip_derived_cl1656, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 104.68/15.56 (((sk_c10) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((multiply @ X0 @ identity) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((multiply @ X2 @ identity) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((multiply @ X3 @ identity) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((multiply @ X4 @ identity) != (identity))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (identity)))),
% 104.68/15.56 inference('local_rewriting', [status(thm)], [zip_derived_cl1651])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl323116, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 104.68/15.56 (((sk_c10) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X4) != (identity))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl1656, zip_derived_cl1180, zip_derived_cl1180,
% 104.68/15.56 zip_derived_cl1180, zip_derived_cl1180])).
% 104.68/15.56 thf(zip_derived_cl323117, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 104.68/15.56 (((identity) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (identity))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((X4) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('sup-', [status(thm)],
% 104.68/15.56 [zip_derived_cl705, zip_derived_cl323116])).
% 104.68/15.56 thf(zip_derived_cl323119, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 104.68/15.56 (((X4) != (identity))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323117])).
% 104.68/15.56 thf(zip_derived_cl323127, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 104.68/15.56 (((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((multiply @ X4 @ identity) != (identity))
% 104.68/15.56 | ((inverse @ X4) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl323119])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl323128, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 104.68/15.56 (((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((X4) != (identity))
% 104.68/15.56 | ((inverse @ X4) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl323127, zip_derived_cl1180])).
% 104.68/15.56 thf(zip_derived_cl323129, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 104.68/15.56 (((inverse @ X0) != (identity))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((X1) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((multiply @ X3 @ identity) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl323128])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl323130, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 104.68/15.56 (((inverse @ X0) != (identity))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((X1) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl323129, zip_derived_cl1180])).
% 104.68/15.56 thf(zip_derived_cl323131, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 (((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (identity))
% 104.68/15.56 | ((X1) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ identity) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl323130])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl159, plain,
% 104.68/15.56 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl211, plain,
% 104.68/15.56 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl159, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl919, plain, (((inverse @ identity) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl323132, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 (((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (identity))
% 104.68/15.56 | ((X1) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((identity) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl323131, zip_derived_cl919])).
% 104.68/15.56 thf(zip_derived_cl323133, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 (((X2) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X1) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (identity))
% 104.68/15.56 | ((inverse @ X0) != (identity))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323132])).
% 104.68/15.56 thf(zip_derived_cl323134, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 (((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (identity))
% 104.68/15.56 | ((X1) != (identity))
% 104.68/15.56 | ((inverse @ identity) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl323133])).
% 104.68/15.56 thf(zip_derived_cl919, plain, (((inverse @ identity) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl323135, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 (((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (identity))
% 104.68/15.56 | ((X1) != (identity))
% 104.68/15.56 | ((identity) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl323134, zip_derived_cl919])).
% 104.68/15.56 thf(zip_derived_cl323136, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 (((X1) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (identity))
% 104.68/15.56 | ((inverse @ X0) != (identity))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323135])).
% 104.68/15.56 thf(zip_derived_cl323137, plain,
% 104.68/15.56 (![X0 : $i]:
% 104.68/15.56 (((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X0) != (identity))
% 104.68/15.56 | ((inverse @ identity) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl323136])).
% 104.68/15.56 thf(zip_derived_cl919, plain, (((inverse @ identity) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl323138, plain,
% 104.68/15.56 (![X0 : $i]:
% 104.68/15.56 (((inverse @ sk_c1) = (sk_c2))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X0) != (identity))
% 104.68/15.56 | ((identity) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl323137, zip_derived_cl919])).
% 104.68/15.56 thf(zip_derived_cl323139, plain,
% 104.68/15.56 (![X0 : $i]:
% 104.68/15.56 (((inverse @ X0) != (identity))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ sk_c1) = (sk_c2)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323138])).
% 104.68/15.56 thf(zip_derived_cl323140, plain,
% 104.68/15.56 ((((inverse @ sk_c1) = (sk_c2)) | ((inverse @ identity) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl323139])).
% 104.68/15.56 thf(zip_derived_cl919, plain, (((inverse @ identity) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl323141, plain,
% 104.68/15.56 ((((inverse @ sk_c1) = (sk_c2)) | ((identity) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl323140, zip_derived_cl919])).
% 104.68/15.56 thf(zip_derived_cl323142, plain, (((inverse @ sk_c1) = (sk_c2))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323141])).
% 104.68/15.56 thf(zip_derived_cl1332, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1215, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl323185, plain,
% 104.68/15.56 ((((identity) = (sk_c10)) | ((sk_c10) = (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl1768, zip_derived_cl323142, zip_derived_cl1332])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323333, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 104.68/15.56 (((inverse @ X0) != (identity))
% 104.68/15.56 | ((X0) != (X1))
% 104.68/15.56 | ((X1) != (sk_c9))
% 104.68/15.56 | ((X2) != (sk_c9))
% 104.68/15.56 | ((inverse @ X3) != (X2))
% 104.68/15.56 | ((multiply @ X3 @ X2) != (sk_c9))
% 104.68/15.56 | ((multiply @ X4 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X4) != (identity))
% 104.68/15.56 | ((multiply @ X5 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X5) != (identity))
% 104.68/15.56 | ((multiply @ X6 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X7) != (X6))
% 104.68/15.56 | ((multiply @ X7 @ X6) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl43, zip_derived_cl323186, zip_derived_cl323186,
% 104.68/15.56 zip_derived_cl1180, zip_derived_cl323186, zip_derived_cl0,
% 104.68/15.56 zip_derived_cl323186, zip_derived_cl1180,
% 104.68/15.56 zip_derived_cl323186, zip_derived_cl323186,
% 104.68/15.56 zip_derived_cl323186, zip_derived_cl323186,
% 104.68/15.56 zip_derived_cl323186, zip_derived_cl323186])).
% 104.68/15.56 thf(zip_derived_cl323447, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X0 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((multiply @ X2 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((multiply @ X3 @ sk_c9) != (identity))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (sk_c9))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((X4) != (sk_c9))
% 104.68/15.56 | ((X6) != (sk_c9))
% 104.68/15.56 | ((inverse @ X6) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl323333])).
% 104.68/15.56 thf(zip_derived_cl323448, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 104.68/15.56 (((inverse @ X0) != (identity))
% 104.68/15.56 | ((X0) != (sk_c9))
% 104.68/15.56 | ((inverse @ X1) != (sk_c9))
% 104.68/15.56 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 104.68/15.56 | ((multiply @ X2 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((multiply @ X3 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((multiply @ X4 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X5) != (X4))
% 104.68/15.56 | ((multiply @ X5 @ X4) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl323447])).
% 104.68/15.56 thf(zip_derived_cl323449, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X0 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((multiply @ X2 @ sk_c9) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((multiply @ X3 @ sk_c9) != (identity))
% 104.68/15.56 | ((multiply @ X4 @ sk_c9) != (sk_c9))
% 104.68/15.56 | ((inverse @ X4) != (sk_c9))
% 104.68/15.56 | ((inverse @ sk_c9) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl323448])).
% 104.68/15.56 thf(prove_this_30, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_13, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c3 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 104.68/15.56 thf(zip_derived_cl32, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 104.68/15.56 | ((inverse @ sk_c3) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_13])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323322, plain,
% 104.68/15.56 ((((sk_c8) = (sk_c9)) | ((inverse @ sk_c3) = (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl32, zip_derived_cl323186, zip_derived_cl0,
% 104.68/15.56 zip_derived_cl323186])).
% 104.68/15.56 thf(zip_derived_cl1215, plain,
% 104.68/15.56 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1180, zip_derived_cl160])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl1335, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1215, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl323436, plain,
% 104.68/15.56 (![X0 : $i]:
% 104.68/15.56 (((X0) = (multiply @ sk_c3 @ (multiply @ identity @ X0)))
% 104.68/15.56 | ((sk_c8) = (sk_c9)))),
% 104.68/15.56 inference('sup+', [status(thm)],
% 104.68/15.56 [zip_derived_cl323322, zip_derived_cl1335])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl323446, plain,
% 104.68/15.56 (![X0 : $i]: (((X0) = (multiply @ sk_c3 @ X0)) | ((sk_c8) = (sk_c9)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl323436, zip_derived_cl0])).
% 104.68/15.56 thf(prove_this_38, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_14, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c10 @ sk_c8 ) = ( sk_c9 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_38])).
% 104.68/15.56 thf(zip_derived_cl40, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ sk_c8) = (sk_c9))
% 104.68/15.56 | ((multiply @ sk_c3 @ sk_c9) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_14])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323330, plain,
% 104.68/15.56 ((((sk_c8) = (sk_c9)) | ((multiply @ sk_c3 @ sk_c9) = (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl40, zip_derived_cl323186, zip_derived_cl0,
% 104.68/15.56 zip_derived_cl323186])).
% 104.68/15.56 thf(zip_derived_cl324740, plain,
% 104.68/15.56 ((((sk_c9) = (identity)) | ((sk_c8) = (sk_c9)) | ((sk_c8) = (sk_c9)))),
% 104.68/15.56 inference('sup+', [status(thm)],
% 104.68/15.56 [zip_derived_cl323446, zip_derived_cl323330])).
% 104.68/15.56 thf(zip_derived_cl324761, plain,
% 104.68/15.56 ((((sk_c8) = (sk_c9)) | ((sk_c9) = (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324740])).
% 104.68/15.56 thf(prove_this_31, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_15, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c3 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 104.68/15.56 thf(zip_derived_cl33, plain,
% 104.68/15.56 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 104.68/15.56 | ((inverse @ sk_c3) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_15])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323323, plain,
% 104.68/15.56 ((((sk_c7) = (sk_c8)) | ((inverse @ sk_c3) = (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl33, zip_derived_cl323186, zip_derived_cl1180,
% 104.68/15.56 zip_derived_cl323186])).
% 104.68/15.56 thf(zip_derived_cl1335, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl1215, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl323469, plain,
% 104.68/15.56 (![X0 : $i]:
% 104.68/15.56 (((X0) = (multiply @ sk_c3 @ (multiply @ identity @ X0)))
% 104.68/15.56 | ((sk_c7) = (sk_c8)))),
% 104.68/15.56 inference('sup+', [status(thm)],
% 104.68/15.56 [zip_derived_cl323323, zip_derived_cl1335])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl323481, plain,
% 104.68/15.56 (![X0 : $i]: (((X0) = (multiply @ sk_c3 @ X0)) | ((sk_c7) = (sk_c8)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl323469, zip_derived_cl0])).
% 104.68/15.56 thf(prove_this_39, conjecture,
% 104.68/15.56 (~( ( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_16, negated_conjecture,
% 104.68/15.56 (( ( multiply @ sk_c7 @ sk_c10 ) = ( sk_c8 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_39])).
% 104.68/15.56 thf(zip_derived_cl41, plain,
% 104.68/15.56 ((((multiply @ sk_c7 @ sk_c10) = (sk_c8))
% 104.68/15.56 | ((multiply @ sk_c3 @ sk_c9) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_16])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323331, plain,
% 104.68/15.56 ((((sk_c7) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c9) = (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl41, zip_derived_cl323186, zip_derived_cl1180,
% 104.68/15.56 zip_derived_cl323186])).
% 104.68/15.56 thf(zip_derived_cl324029, plain,
% 104.68/15.56 ((((sk_c9) = (identity)) | ((sk_c7) = (sk_c8)) | ((sk_c7) = (sk_c8)))),
% 104.68/15.56 inference('sup+', [status(thm)],
% 104.68/15.56 [zip_derived_cl323481, zip_derived_cl323331])).
% 104.68/15.56 thf(zip_derived_cl324044, plain,
% 104.68/15.56 ((((sk_c7) = (sk_c8)) | ((sk_c9) = (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324029])).
% 104.68/15.56 thf(prove_this_32, conjecture,
% 104.68/15.56 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c3 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_17, negated_conjecture,
% 104.68/15.56 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( inverse @ sk_c3 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 104.68/15.56 thf(zip_derived_cl34, plain,
% 104.68/15.56 ((((inverse @ sk_c7) = (sk_c10)) | ((inverse @ sk_c3) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_17])).
% 104.68/15.56 thf(prove_this_40, conjecture,
% 104.68/15.56 (~( ( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) ) ))).
% 104.68/15.56 thf(zf_stmt_18, negated_conjecture,
% 104.68/15.56 (( ( inverse @ sk_c7 ) = ( sk_c10 ) ) |
% 104.68/15.56 ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c10 ) )),
% 104.68/15.56 inference('cnf.neg', [status(esa)], [prove_this_40])).
% 104.68/15.56 thf(zip_derived_cl42, plain,
% 104.68/15.56 ((((inverse @ sk_c7) = (sk_c10))
% 104.68/15.56 | ((multiply @ sk_c3 @ sk_c9) = (sk_c10)))),
% 104.68/15.56 inference('cnf', [status(esa)], [zf_stmt_18])).
% 104.68/15.56 thf(zip_derived_cl146, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 104.68/15.56 inference('demod', [status(thm)], [zip_derived_cl110, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl195, plain,
% 104.68/15.56 ((((sk_c9) = (multiply @ (inverse @ sk_c3) @ sk_c10))
% 104.68/15.56 | ((inverse @ sk_c7) = (sk_c10)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl146])).
% 104.68/15.56 thf(zip_derived_cl5418, plain,
% 104.68/15.56 ((((sk_c9) = (multiply @ sk_c10 @ sk_c10))
% 104.68/15.56 | ((inverse @ sk_c7) = (sk_c10))
% 104.68/15.56 | ((inverse @ sk_c7) = (sk_c10)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl195])).
% 104.68/15.56 thf(zip_derived_cl5427, plain,
% 104.68/15.56 ((((inverse @ sk_c7) = (sk_c10))
% 104.68/15.56 | ((sk_c9) = (multiply @ sk_c10 @ sk_c10)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl5418])).
% 104.68/15.56 thf(zip_derived_cl1, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_inverse])).
% 104.68/15.56 thf(zip_derived_cl5438, plain,
% 104.68/15.56 ((((multiply @ sk_c10 @ sk_c7) = (identity))
% 104.68/15.56 | ((sk_c9) = (multiply @ sk_c10 @ sk_c10)))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl5427, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl323186, plain, (((identity) = (sk_c10))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl323185])).
% 104.68/15.56 thf(zip_derived_cl0, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 104.68/15.56 inference('cnf', [status(esa)], [left_identity])).
% 104.68/15.56 thf(zip_derived_cl323373, plain,
% 104.68/15.56 ((((sk_c7) = (identity)) | ((sk_c9) = (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl5438, zip_derived_cl323186, zip_derived_cl0,
% 104.68/15.56 zip_derived_cl323186, zip_derived_cl323186, zip_derived_cl0])).
% 104.68/15.56 thf(zip_derived_cl324059, plain,
% 104.68/15.56 ((((sk_c8) = (identity))
% 104.68/15.56 | ((sk_c9) = (identity))
% 104.68/15.56 | ((sk_c9) = (identity)))),
% 104.68/15.56 inference('sup+', [status(thm)],
% 104.68/15.56 [zip_derived_cl324044, zip_derived_cl323373])).
% 104.68/15.56 thf(zip_derived_cl324062, plain,
% 104.68/15.56 ((((sk_c9) = (identity)) | ((sk_c8) = (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324059])).
% 104.68/15.56 thf(zip_derived_cl324778, plain,
% 104.68/15.56 ((((sk_c9) = (identity))
% 104.68/15.56 | ((sk_c9) = (identity))
% 104.68/15.56 | ((sk_c9) = (identity)))),
% 104.68/15.56 inference('sup+', [status(thm)],
% 104.68/15.56 [zip_derived_cl324761, zip_derived_cl324062])).
% 104.68/15.56 thf(zip_derived_cl324784, plain, (((sk_c9) = (identity))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324778])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl324784, plain, (((sk_c9) = (identity))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324778])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl324784, plain, (((sk_c9) = (identity))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324778])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl324784, plain, (((sk_c9) = (identity))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324778])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl324784, plain, (((sk_c9) = (identity))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324778])).
% 104.68/15.56 thf(zip_derived_cl324784, plain, (((sk_c9) = (identity))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324778])).
% 104.68/15.56 thf(zip_derived_cl324784, plain, (((sk_c9) = (identity))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324778])).
% 104.68/15.56 thf(zip_derived_cl919, plain, (((inverse @ identity) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl324814, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((X4) != (identity))
% 104.68/15.56 | ((inverse @ X4) != (identity))
% 104.68/15.56 | ((identity) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl323449, zip_derived_cl324784,
% 104.68/15.56 zip_derived_cl1180, zip_derived_cl324784, zip_derived_cl1180,
% 104.68/15.56 zip_derived_cl324784, zip_derived_cl1180,
% 104.68/15.56 zip_derived_cl324784, zip_derived_cl1180,
% 104.68/15.56 zip_derived_cl324784, zip_derived_cl324784,
% 104.68/15.56 zip_derived_cl324784, zip_derived_cl919])).
% 104.68/15.56 thf(zip_derived_cl324815, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 104.68/15.56 (((inverse @ X4) != (identity))
% 104.68/15.56 | ((X4) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324814])).
% 104.68/15.56 thf(zip_derived_cl324852, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((inverse @ identity) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl324815])).
% 104.68/15.56 thf(zip_derived_cl919, plain, (((inverse @ identity) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl324853, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X3) != (identity))
% 104.68/15.56 | ((identity) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl324852, zip_derived_cl919])).
% 104.68/15.56 thf(zip_derived_cl324854, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 104.68/15.56 (((X3) != (identity))
% 104.68/15.56 | ((inverse @ X3) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324853])).
% 104.68/15.56 thf(zip_derived_cl324855, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((inverse @ identity) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl324854])).
% 104.68/15.56 thf(zip_derived_cl919, plain, (((inverse @ identity) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl324856, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X2) != (identity))
% 104.68/15.56 | ((identity) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl324855, zip_derived_cl919])).
% 104.68/15.56 thf(zip_derived_cl324857, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i, X2 : $i]:
% 104.68/15.56 (((X2) != (identity))
% 104.68/15.56 | ((inverse @ X2) != (identity))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324856])).
% 104.68/15.56 thf(zip_derived_cl324858, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((inverse @ identity) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl324857])).
% 104.68/15.56 thf(zip_derived_cl919, plain, (((inverse @ identity) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl324859, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 (((multiply @ X1 @ X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((X0) != (identity))
% 104.68/15.56 | ((identity) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl324858, zip_derived_cl919])).
% 104.68/15.56 thf(zip_derived_cl324860, plain,
% 104.68/15.56 (![X0 : $i, X1 : $i]:
% 104.68/15.56 (((X0) != (identity))
% 104.68/15.56 | ((inverse @ X1) != (X0))
% 104.68/15.56 | ((multiply @ X1 @ X0) != (identity)))),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324859])).
% 104.68/15.56 thf(zip_derived_cl324861, plain,
% 104.68/15.56 (![X0 : $i]:
% 104.68/15.56 (((multiply @ X0 @ identity) != (identity))
% 104.68/15.56 | ((inverse @ X0) != (identity)))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl324860])).
% 104.68/15.56 thf(zip_derived_cl1180, plain,
% 104.68/15.56 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl160, zip_derived_cl157])).
% 104.68/15.56 thf(zip_derived_cl324862, plain,
% 104.68/15.56 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl324861, zip_derived_cl1180])).
% 104.68/15.56 thf(zip_derived_cl324863, plain, (((inverse @ identity) != (identity))),
% 104.68/15.56 inference('eq_res', [status(thm)], [zip_derived_cl324862])).
% 104.68/15.56 thf(zip_derived_cl919, plain, (((inverse @ identity) = (identity))),
% 104.68/15.56 inference('sup+', [status(thm)], [zip_derived_cl211, zip_derived_cl1])).
% 104.68/15.56 thf(zip_derived_cl324864, plain, (((identity) != (identity))),
% 104.68/15.56 inference('demod', [status(thm)],
% 104.68/15.56 [zip_derived_cl324863, zip_derived_cl919])).
% 104.68/15.56 thf(zip_derived_cl324865, plain, ($false),
% 104.68/15.56 inference('simplify', [status(thm)], [zip_derived_cl324864])).
% 104.68/15.56
% 104.68/15.56 % SZS output end Refutation
% 104.68/15.56
% 104.68/15.56
% 104.89/15.57 % Terminating...
% 104.89/15.64 % Runner terminated.
% 104.89/15.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------