TSTP Solution File: GRP343-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP343-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TJipoq5sbH true
% Computer : n011.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 01:51:16 EDT 2023
% Result : Unsatisfiable 1.37s 0.91s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP343-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TJipoq5sbH true
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:46:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.77/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.91 % Solved by fo/fo7.sh.
% 1.37/0.91 % done 360 iterations in 0.133s
% 1.37/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/0.91 % SZS output start Refutation
% 1.37/0.91 thf(sk_c7_type, type, sk_c7: $i).
% 1.37/0.91 thf(sk_c2_type, type, sk_c2: $i).
% 1.37/0.91 thf(sk_c4_type, type, sk_c4: $i).
% 1.37/0.91 thf(sk_c3_type, type, sk_c3: $i).
% 1.37/0.91 thf(identity_type, type, identity: $i).
% 1.37/0.91 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.37/0.91 thf(sk_c9_type, type, sk_c9: $i).
% 1.37/0.91 thf(inverse_type, type, inverse: $i > $i).
% 1.37/0.91 thf(sk_c1_type, type, sk_c1: $i).
% 1.37/0.91 thf(sk_c8_type, type, sk_c8: $i).
% 1.37/0.91 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(associativity, axiom,
% 1.37/0.91 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.37/0.91 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl109, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((multiply @ identity @ X0)
% 1.37/0.91 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl161, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl210, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl161, zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl739, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl1])).
% 1.37/0.91 thf(prove_this_34, conjecture,
% 1.37/0.91 (~( ( ( multiply @ X5 @ sk_c9 ) != ( X6 ) ) |
% 1.37/0.91 ( ( inverse @ X6 ) != ( sk_c9 ) ) | ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.37/0.91 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c9 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.37/0.91 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) ) ))).
% 1.37/0.91 thf(zf_stmt_0, negated_conjecture,
% 1.37/0.91 (( ( multiply @ X5 @ sk_c9 ) != ( X6 ) ) |
% 1.37/0.91 ( ( inverse @ X6 ) != ( sk_c9 ) ) | ( ( inverse @ X5 ) != ( X6 ) ) |
% 1.37/0.91 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c9 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ X1 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.37/0.91 ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_34])).
% 1.37/0.91 thf(zip_derived_cl36, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.37/0.91 (((multiply @ X1 @ sk_c9) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (sk_c9))
% 1.37/0.91 | ((inverse @ X1) != (X0))
% 1.37/0.91 | ((inverse @ X2) != (sk_c8))
% 1.37/0.91 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c9 @ sk_c7) != (sk_c8))
% 1.37/0.91 | ((inverse @ X3) != (sk_c9))
% 1.37/0.91 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 1.37/0.91 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 1.37/0.91 | ((inverse @ X4) != (sk_c8))
% 1.37/0.91 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.37/0.91 | ((inverse @ X5) != (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.37/0.91 thf(zip_derived_cl37, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.37/0.91 (((multiply @ X1 @ sk_c9) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (sk_c9))
% 1.37/0.91 | ((inverse @ X1) != (X0))
% 1.37/0.91 | ((inverse @ X2) != (sk_c8))
% 1.37/0.91 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c9 @ (multiply @ sk_c8 @ sk_c9)) != (sk_c8))
% 1.37/0.91 | ((inverse @ X3) != (sk_c9))
% 1.37/0.91 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 1.37/0.91 | ((multiply @ X4 @ (multiply @ sk_c8 @ sk_c9)) != (sk_c8))
% 1.37/0.91 | ((inverse @ X4) != (sk_c8))
% 1.37/0.91 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.37/0.91 | ((inverse @ X5) != (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 1.37/0.91 inference('local_rewriting', [status(thm)], [zip_derived_cl36])).
% 1.37/0.91 thf(prove_this_1, conjecture, (( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ))).
% 1.37/0.91 thf(zf_stmt_1, negated_conjecture,
% 1.37/0.91 (( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.37/0.91 thf(zip_derived_cl3, plain, (((multiply @ sk_c8 @ sk_c9) = (sk_c7))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.91 thf(zip_derived_cl38, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.37/0.91 (((multiply @ X1 @ sk_c9) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (sk_c9))
% 1.37/0.91 | ((inverse @ X1) != (X0))
% 1.37/0.91 | ((inverse @ X2) != (sk_c8))
% 1.37/0.91 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c9 @ (multiply @ sk_c8 @ sk_c9)) != (sk_c8))
% 1.37/0.91 | ((inverse @ X3) != (sk_c9))
% 1.37/0.91 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 1.37/0.91 | ((multiply @ X4 @ (multiply @ sk_c8 @ sk_c9)) != (sk_c8))
% 1.37/0.91 | ((inverse @ X4) != (sk_c8))
% 1.37/0.91 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.37/0.91 | ((inverse @ X5) != (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c8 @ sk_c9) != (multiply @ sk_c8 @ sk_c9)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 1.37/0.91 thf(zip_derived_cl39, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.37/0.91 (((inverse @ X5) != (sk_c9))
% 1.37/0.91 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.37/0.91 | ((inverse @ X4) != (sk_c8))
% 1.37/0.91 | ((multiply @ X4 @ (multiply @ sk_c8 @ sk_c9)) != (sk_c8))
% 1.37/0.91 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 1.37/0.91 | ((inverse @ X3) != (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c9 @ (multiply @ sk_c8 @ sk_c9)) != (sk_c8))
% 1.37/0.91 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.37/0.91 | ((inverse @ X2) != (sk_c8))
% 1.37/0.91 | ((inverse @ X1) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (sk_c9))
% 1.37/0.91 | ((multiply @ X1 @ sk_c9) != (X0)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 1.37/0.91 thf(prove_this_19, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_2, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.37/0.91 thf(zip_derived_cl21, plain,
% 1.37/0.91 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl52, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.37/0.91 | ((inverse @ sk_c3) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl167, plain,
% 1.37/0.91 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.37/0.91 | ((inverse @ sk_c3) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl136])).
% 1.37/0.91 thf(prove_this_27, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_3, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.37/0.91 thf(zip_derived_cl29, plain,
% 1.37/0.91 ((((inverse @ sk_c3) = (sk_c9)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.37/0.91 thf(zip_derived_cl3, plain, (((multiply @ sk_c8 @ sk_c9) = (sk_c7))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.91 thf(zip_derived_cl60, plain,
% 1.37/0.91 ((((inverse @ sk_c3) = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c2 @ (multiply @ sk_c8 @ sk_c9)) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl3])).
% 1.37/0.91 thf(zip_derived_cl276, plain,
% 1.37/0.91 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @
% 1.37/0.91 (multiply @ sk_c8 @ sk_c9)) = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c3) = (sk_c9))
% 1.37/0.91 | ((inverse @ sk_c3) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl60])).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl288, plain,
% 1.37/0.91 ((((sk_c9) = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c3) = (sk_c9))
% 1.37/0.91 | ((inverse @ sk_c3) = (sk_c9)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl276, zip_derived_cl2, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl289, plain,
% 1.37/0.91 ((((inverse @ sk_c3) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl288])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl297, plain,
% 1.37/0.91 ((((multiply @ sk_c9 @ sk_c3) = (identity)) | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl289, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl303, plain,
% 1.37/0.91 ((((sk_c3) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.37/0.91 | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl297, zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl162, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl159, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl136, zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl752, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 1.37/0.91 thf(zip_derived_cl798, plain,
% 1.37/0.91 ((((sk_c3) = (inverse @ sk_c9)) | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl303, zip_derived_cl752])).
% 1.37/0.91 thf(prove_this_18, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_4, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.37/0.91 thf(zip_derived_cl20, plain,
% 1.37/0.91 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl74, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.37/0.91 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl171, plain,
% 1.37/0.91 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.37/0.91 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl74, zip_derived_cl136])).
% 1.37/0.91 thf(prove_this_26, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_5, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.37/0.91 thf(zip_derived_cl28, plain,
% 1.37/0.91 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c2 @ sk_c7) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.37/0.91 thf(zip_derived_cl3, plain, (((multiply @ sk_c8 @ sk_c9) = (sk_c7))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.91 thf(zip_derived_cl91, plain,
% 1.37/0.91 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c2 @ (multiply @ sk_c8 @ sk_c9)) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl3])).
% 1.37/0.91 thf(zip_derived_cl715, plain,
% 1.37/0.91 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @
% 1.37/0.91 (multiply @ sk_c8 @ sk_c9)) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl91])).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl725, plain,
% 1.37/0.91 ((((sk_c9) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c3 @ sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl715, zip_derived_cl2, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl726, plain,
% 1.37/0.91 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl725])).
% 1.37/0.91 thf(zip_derived_cl847, plain,
% 1.37/0.91 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.37/0.91 | ((sk_c9) = (sk_c8))
% 1.37/0.91 | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl798, zip_derived_cl726])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl852, plain,
% 1.37/0.91 ((((identity) = (sk_c8)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl847, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl853, plain,
% 1.37/0.91 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl852])).
% 1.37/0.91 thf(prove_this_3, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c3 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.37/0.91 thf(zf_stmt_6, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c3 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.37/0.91 thf(zip_derived_cl5, plain,
% 1.37/0.91 ((((inverse @ sk_c3) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl41, plain,
% 1.37/0.91 ((((multiply @ sk_c9 @ sk_c3) = (identity))
% 1.37/0.91 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl172, plain,
% 1.37/0.91 ((((sk_c3) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.37/0.91 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl136])).
% 1.37/0.91 thf(prove_this_2, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.37/0.91 thf(zf_stmt_7, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c3 @ sk_c9 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.37/0.91 thf(zip_derived_cl4, plain,
% 1.37/0.91 ((((multiply @ sk_c3 @ sk_c9) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.37/0.91 thf(zip_derived_cl446, plain,
% 1.37/0.91 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.37/0.91 = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c1) = (sk_c9))
% 1.37/0.91 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl4])).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl454, plain,
% 1.37/0.91 ((((identity) = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c1) = (sk_c9))
% 1.37/0.91 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl446, zip_derived_cl2, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl455, plain,
% 1.37/0.91 ((((inverse @ sk_c1) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl454])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl459, plain,
% 1.37/0.91 ((((multiply @ sk_c9 @ sk_c1) = (identity)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl455, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl874, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.37/0.91 | ((identity) = (sk_c8))
% 1.37/0.91 | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl853, zip_derived_cl459])).
% 1.37/0.91 thf(zip_derived_cl877, plain,
% 1.37/0.91 ((((identity) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c1) = (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl874])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl1465, plain,
% 1.37/0.91 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.37/0.91 | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl877, zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl752, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 1.37/0.91 thf(zip_derived_cl1470, plain,
% 1.37/0.91 ((((sk_c1) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1465, zip_derived_cl752])).
% 1.37/0.91 thf(prove_this_14, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.37/0.91 thf(zf_stmt_8, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.37/0.91 thf(zip_derived_cl16, plain,
% 1.37/0.91 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl58, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 1.37/0.91 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl165, plain,
% 1.37/0.91 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.37/0.91 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl136])).
% 1.37/0.91 thf(prove_this_13, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.37/0.91 thf(zf_stmt_9, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.37/0.91 thf(zip_derived_cl15, plain,
% 1.37/0.91 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.37/0.91 thf(zip_derived_cl595, plain,
% 1.37/0.91 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.37/0.91 = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl165, zip_derived_cl15])).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl602, plain,
% 1.37/0.91 ((((identity) = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl595, zip_derived_cl2, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl603, plain,
% 1.37/0.91 ((((multiply @ sk_c1 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl602])).
% 1.37/0.91 thf(zip_derived_cl1477, plain,
% 1.37/0.91 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c9))
% 1.37/0.91 | ((identity) = (sk_c8))
% 1.37/0.91 | ((identity) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1470, zip_derived_cl603])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl1487, plain,
% 1.37/0.91 ((((identity) = (sk_c9))
% 1.37/0.91 | ((identity) = (sk_c8))
% 1.37/0.91 | ((identity) = (sk_c9)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1477, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1488, plain,
% 1.37/0.91 ((((identity) = (sk_c8)) | ((identity) = (sk_c9)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1487])).
% 1.37/0.91 thf(zip_derived_cl853, plain,
% 1.37/0.91 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl852])).
% 1.37/0.91 thf(zip_derived_cl1533, plain,
% 1.37/0.91 ((((identity) = (sk_c8))
% 1.37/0.91 | ((identity) = (sk_c8))
% 1.37/0.91 | ((identity) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1488, zip_derived_cl853])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl752, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl752, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl1566, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.37/0.91 (((inverse @ X5) != (sk_c9))
% 1.37/0.91 | ((X5) != (sk_c9))
% 1.37/0.91 | ((inverse @ X4) != (identity))
% 1.37/0.91 | ((multiply @ X4 @ sk_c9) != (identity))
% 1.37/0.91 | ((multiply @ X3 @ sk_c9) != (identity))
% 1.37/0.91 | ((inverse @ X3) != (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c9 @ sk_c9) != (identity))
% 1.37/0.91 | ((X2) != (sk_c9))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (sk_c9))
% 1.37/0.91 | ((multiply @ X1 @ sk_c9) != (X0)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl39, zip_derived_cl1547, zip_derived_cl752,
% 1.37/0.91 zip_derived_cl1547, zip_derived_cl1547, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1547, zip_derived_cl1547, zip_derived_cl1547,
% 1.37/0.91 zip_derived_cl0, zip_derived_cl1547, zip_derived_cl1547,
% 1.37/0.91 zip_derived_cl752, zip_derived_cl1547])).
% 1.37/0.91 thf(prove_this_21, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_10, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.37/0.91 thf(zip_derived_cl23, plain,
% 1.37/0.91 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.37/0.91 thf(zip_derived_cl752, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 1.37/0.91 thf(zip_derived_cl162, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl812, plain,
% 1.37/0.91 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl752, zip_derived_cl162])).
% 1.37/0.91 thf(zip_derived_cl1067, plain,
% 1.37/0.91 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl812])).
% 1.37/0.91 thf(prove_this_29, conjecture,
% 1.37/0.91 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_11, negated_conjecture,
% 1.37/0.91 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.37/0.91 thf(zip_derived_cl31, plain,
% 1.37/0.91 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c2 @ sk_c7) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.37/0.91 thf(zip_derived_cl3, plain, (((multiply @ sk_c8 @ sk_c9) = (sk_c7))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.91 thf(zip_derived_cl92, plain,
% 1.37/0.91 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c2 @ (multiply @ sk_c8 @ sk_c9)) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl3])).
% 1.37/0.91 thf(zip_derived_cl1422, plain,
% 1.37/0.91 ((((multiply @ (inverse @ sk_c8) @ (multiply @ sk_c8 @ sk_c9)) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl1067, zip_derived_cl92])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl1447, plain,
% 1.37/0.91 ((((sk_c9) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9))
% 1.37/0.91 | ((multiply @ sk_c4 @ sk_c8) = (sk_c9)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl1422, zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl1448, plain,
% 1.37/0.91 ((((multiply @ sk_c4 @ sk_c8) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1447])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl752, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl2071, plain,
% 1.37/0.91 ((((sk_c4) = (sk_c9)) | ((sk_c9) = (identity)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl1448, zip_derived_cl1547, zip_derived_cl752,
% 1.37/0.91 zip_derived_cl1547])).
% 1.37/0.91 thf(prove_this_22, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_12, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.37/0.91 thf(zip_derived_cl24, plain,
% 1.37/0.91 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl53, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 1.37/0.91 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl168, plain,
% 1.37/0.91 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.37/0.91 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl136])).
% 1.37/0.91 thf(prove_this_30, conjecture,
% 1.37/0.91 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 1.37/0.91 thf(zf_stmt_13, negated_conjecture,
% 1.37/0.91 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.37/0.91 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c8 ) )),
% 1.37/0.91 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.37/0.91 thf(zip_derived_cl32, plain,
% 1.37/0.91 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c8)))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.37/0.91 thf(zip_derived_cl3, plain, (((multiply @ sk_c8 @ sk_c9) = (sk_c7))),
% 1.37/0.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.37/0.91 thf(zip_derived_cl78, plain,
% 1.37/0.91 ((((inverse @ sk_c4) = (sk_c8))
% 1.37/0.91 | ((multiply @ sk_c2 @ (multiply @ sk_c8 @ sk_c9)) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl3])).
% 1.37/0.91 thf(zip_derived_cl427, plain,
% 1.37/0.91 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @
% 1.37/0.91 (multiply @ sk_c8 @ sk_c9)) = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c4) = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl78])).
% 1.37/0.91 thf(zip_derived_cl2, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.37/0.91 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.37/0.91 inference('cnf', [status(esa)], [associativity])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl136, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl0])).
% 1.37/0.91 thf(zip_derived_cl437, plain,
% 1.37/0.91 ((((sk_c9) = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c4) = (sk_c8))
% 1.37/0.91 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl427, zip_derived_cl2, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl136])).
% 1.37/0.91 thf(zip_derived_cl438, plain,
% 1.37/0.91 ((((inverse @ sk_c4) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl437])).
% 1.37/0.91 thf(zip_derived_cl1, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_inverse])).
% 1.37/0.91 thf(zip_derived_cl443, plain,
% 1.37/0.91 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((sk_c9) = (sk_c8)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl1547, plain, (((identity) = (sk_c8))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl1533])).
% 1.37/0.91 thf(zip_derived_cl1600, plain,
% 1.37/0.91 ((((sk_c4) = (identity)) | ((sk_c9) = (identity)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl443, zip_derived_cl1547, zip_derived_cl0,
% 1.37/0.91 zip_derived_cl1547])).
% 1.37/0.91 thf(zip_derived_cl2077, plain,
% 1.37/0.91 ((((sk_c9) = (identity))
% 1.37/0.91 | ((sk_c9) = (identity))
% 1.37/0.91 | ((sk_c9) = (identity)))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl2071, zip_derived_cl1600])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl752, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl752, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl0, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.37/0.91 inference('cnf', [status(esa)], [left_identity])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl2081, plain, (((sk_c9) = (identity))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2077])).
% 1.37/0.91 thf(zip_derived_cl752, plain,
% 1.37/0.91 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl159])).
% 1.37/0.91 thf(zip_derived_cl2108, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.37/0.91 (((inverse @ X5) != (identity))
% 1.37/0.91 | ((X5) != (identity))
% 1.37/0.91 | ((inverse @ X4) != (identity))
% 1.37/0.91 | ((X4) != (identity))
% 1.37/0.91 | ((X3) != (identity))
% 1.37/0.91 | ((inverse @ X3) != (identity))
% 1.37/0.91 | ((identity) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (identity))
% 1.37/0.91 | ((X1) != (X0)))),
% 1.37/0.91 inference('demod', [status(thm)],
% 1.37/0.91 [zip_derived_cl1566, zip_derived_cl2081, zip_derived_cl2081,
% 1.37/0.91 zip_derived_cl2081, zip_derived_cl752, zip_derived_cl2081,
% 1.37/0.91 zip_derived_cl752, zip_derived_cl2081, zip_derived_cl2081,
% 1.37/0.91 zip_derived_cl2081, zip_derived_cl0, zip_derived_cl2081,
% 1.37/0.91 zip_derived_cl2081, zip_derived_cl2081, zip_derived_cl752])).
% 1.37/0.91 thf(zip_derived_cl2109, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.37/0.91 (((X1) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (X0))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((inverse @ X3) != (identity))
% 1.37/0.91 | ((X3) != (identity))
% 1.37/0.91 | ((X4) != (identity))
% 1.37/0.91 | ((inverse @ X4) != (identity))
% 1.37/0.91 | ((X5) != (identity))
% 1.37/0.91 | ((inverse @ X5) != (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2108])).
% 1.37/0.91 thf(zip_derived_cl2148, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((X0) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X3) != (identity))
% 1.37/0.91 | ((inverse @ X3) != (identity))
% 1.37/0.91 | ((inverse @ X4) != (X4))
% 1.37/0.91 | ((inverse @ X4) != (identity)))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl2109])).
% 1.37/0.91 thf(zip_derived_cl2149, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((X3) != (identity))
% 1.37/0.91 | ((inverse @ X3) != (identity))
% 1.37/0.91 | ((inverse @ identity) != (identity)))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl2148])).
% 1.37/0.91 thf(zip_derived_cl739, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl2150, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((X3) != (identity))
% 1.37/0.91 | ((inverse @ X3) != (identity))
% 1.37/0.91 | ((identity) != (identity)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl2149, zip_derived_cl739])).
% 1.37/0.91 thf(zip_derived_cl2151, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.37/0.91 (((inverse @ X3) != (identity))
% 1.37/0.91 | ((X3) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2150])).
% 1.37/0.91 thf(zip_derived_cl2152, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((inverse @ identity) != (identity)))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl2151])).
% 1.37/0.91 thf(zip_derived_cl739, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl2153, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X2) != (identity))
% 1.37/0.91 | ((identity) != (identity)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl2152, zip_derived_cl739])).
% 1.37/0.91 thf(zip_derived_cl2154, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.37/0.91 (((X2) != (identity))
% 1.37/0.91 | ((inverse @ X2) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2153])).
% 1.37/0.91 thf(zip_derived_cl2155, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((inverse @ identity) != (identity)))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl2154])).
% 1.37/0.91 thf(zip_derived_cl739, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl2156, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((X1) != (identity))
% 1.37/0.91 | ((identity) != (identity)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl2155, zip_derived_cl739])).
% 1.37/0.91 thf(zip_derived_cl2157, plain,
% 1.37/0.91 (![X0 : $i, X1 : $i]:
% 1.37/0.91 (((X1) != (identity))
% 1.37/0.91 | ((inverse @ X1) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ X0) != (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2156])).
% 1.37/0.91 thf(zip_derived_cl2158, plain,
% 1.37/0.91 (![X0 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((inverse @ identity) != (identity)))),
% 1.37/0.91 inference('eq_res', [status(thm)], [zip_derived_cl2157])).
% 1.37/0.91 thf(zip_derived_cl739, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl2159, plain,
% 1.37/0.91 (![X0 : $i]:
% 1.37/0.91 (((inverse @ X0) != (identity))
% 1.37/0.91 | ((inverse @ X0) != (X0))
% 1.37/0.91 | ((identity) != (identity)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl2158, zip_derived_cl739])).
% 1.37/0.91 thf(zip_derived_cl2160, plain,
% 1.37/0.91 (![X0 : $i]: (((inverse @ X0) != (X0)) | ((inverse @ X0) != (identity)))),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2159])).
% 1.37/0.91 thf(zip_derived_cl2195, plain,
% 1.37/0.91 ((((identity) != (identity)) | ((inverse @ identity) != (identity)))),
% 1.37/0.91 inference('sup-', [status(thm)], [zip_derived_cl739, zip_derived_cl2160])).
% 1.37/0.91 thf(zip_derived_cl739, plain, (((inverse @ identity) = (identity))),
% 1.37/0.91 inference('sup+', [status(thm)], [zip_derived_cl210, zip_derived_cl1])).
% 1.37/0.91 thf(zip_derived_cl2200, plain,
% 1.37/0.91 ((((identity) != (identity)) | ((identity) != (identity)))),
% 1.37/0.91 inference('demod', [status(thm)], [zip_derived_cl2195, zip_derived_cl739])).
% 1.37/0.91 thf(zip_derived_cl2201, plain, ($false),
% 1.37/0.91 inference('simplify', [status(thm)], [zip_derived_cl2200])).
% 1.37/0.91
% 1.37/0.91 % SZS output end Refutation
% 1.37/0.91
% 1.37/0.91
% 1.37/0.91 % Terminating...
% 1.62/0.95 % Runner terminated.
% 1.62/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------