TSTP Solution File: GRP280-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP280-1 : 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.JxmibPmtER true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:01 EDT 2023
% Result : Unsatisfiable 1.79s 0.98s
% Output : Refutation 1.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP280-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JxmibPmtER true
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 02:00:47 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.6.8
% 0.14/0.38 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.79/0.98 % Solved by fo/fo7.sh.
% 1.79/0.98 % done 456 iterations in 0.131s
% 1.79/0.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.79/0.98 % SZS output start Refutation
% 1.79/0.98 thf(sk_c1_type, type, sk_c1: $i).
% 1.79/0.98 thf(sk_c7_type, type, sk_c7: $i).
% 1.79/0.98 thf(sk_c2_type, type, sk_c2: $i).
% 1.79/0.98 thf(sk_c6_type, type, sk_c6: $i).
% 1.79/0.98 thf(sk_c5_type, type, sk_c5: $i).
% 1.79/0.98 thf(identity_type, type, identity: $i).
% 1.79/0.98 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.79/0.98 thf(sk_c8_type, type, sk_c8: $i).
% 1.79/0.98 thf(inverse_type, type, inverse: $i > $i).
% 1.79/0.98 thf(sk_c4_type, type, sk_c4: $i).
% 1.79/0.98 thf(sk_c3_type, type, sk_c3: $i).
% 1.79/0.98 thf(sk_c9_type, type, sk_c9: $i).
% 1.79/0.98 thf(prove_this_37, conjecture,
% 1.79/0.98 (~( ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c7 ) ) |
% 1.79/0.98 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( inverse @ X2 ) != ( X1 ) ) |
% 1.79/0.98 ( ( multiply @ X2 @ X1 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.79/0.98 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 1.79/0.98 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 1.79/0.98 thf(zf_stmt_0, negated_conjecture,
% 1.79/0.98 (( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c7 ) ) |
% 1.79/0.98 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( inverse @ X2 ) != ( X1 ) ) |
% 1.79/0.98 ( ( multiply @ X2 @ X1 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c7 ) != ( sk_c8 ) ) |
% 1.79/0.98 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 1.79/0.98 ( ( inverse @ X4 ) != ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ X4 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c8 ) != ( sk_c7 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 1.79/0.98 thf(zip_derived_cl39, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.79/0.98 (((inverse @ X0) != (sk_c9))
% 1.79/0.98 | ((multiply @ X0 @ sk_c9) != (sk_c7))
% 1.79/0.98 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c7) != (sk_c8))
% 1.79/0.98 | ((inverse @ X3) != (sk_c9))
% 1.79/0.98 | ((multiply @ X3 @ sk_c9) != (X4))
% 1.79/0.98 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 1.79/0.98 | ((inverse @ X5) != (sk_c9))
% 1.79/0.98 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c8) != (sk_c7)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.79/0.98 thf(zip_derived_cl40, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.79/0.98 (((inverse @ X0) != (sk_c9))
% 1.79/0.98 | ((multiply @ X0 @ sk_c9) != (multiply @ sk_c9 @ sk_c8))
% 1.79/0.98 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c9 @ (multiply @ sk_c9 @ sk_c8)) != (sk_c8))
% 1.79/0.98 | ((inverse @ X3) != (sk_c9))
% 1.79/0.98 | ((multiply @ X3 @ sk_c9) != (X4))
% 1.79/0.98 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 1.79/0.98 | ((inverse @ X5) != (sk_c9))
% 1.79/0.98 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c8) != (sk_c7)))),
% 1.79/0.98 inference('local_rewriting', [status(thm)], [zip_derived_cl39])).
% 1.79/0.98 thf(prove_this_18, conjecture,
% 1.79/0.98 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.79/0.98 thf(zf_stmt_1, negated_conjecture,
% 1.79/0.98 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.79/0.98 thf(zip_derived_cl20, plain,
% 1.79/0.98 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.79/0.98 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl44, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 1.79/0.98 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(associativity, axiom,
% 1.79/0.98 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.79/0.98 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.79/0.98 thf(zip_derived_cl2, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.79/0.98 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.79/0.98 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.79/0.98 inference('cnf', [status(esa)], [associativity])).
% 1.79/0.98 thf(zip_derived_cl61, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((multiply @ identity @ X0)
% 1.79/0.98 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.79/0.98 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.79/0.98 thf(zip_derived_cl0, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_identity])).
% 1.79/0.98 thf(zip_derived_cl78, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 1.79/0.98 thf(zip_derived_cl94, plain,
% 1.79/0.98 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.79/0.98 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl78])).
% 1.79/0.98 thf(prove_this_12, conjecture,
% 1.79/0.98 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.79/0.98 thf(zf_stmt_2, negated_conjecture,
% 1.79/0.98 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.79/0.98 thf(zip_derived_cl14, plain,
% 1.79/0.98 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.79/0.98 thf(zip_derived_cl205, plain,
% 1.79/0.98 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.79/0.98 = (sk_c8))
% 1.79/0.98 | ((inverse @ sk_c6) = (sk_c9))
% 1.79/0.98 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl94, zip_derived_cl14])).
% 1.79/0.98 thf(zip_derived_cl2, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.79/0.98 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.79/0.98 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.79/0.98 inference('cnf', [status(esa)], [associativity])).
% 1.79/0.98 thf(zip_derived_cl0, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_identity])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl219, plain,
% 1.79/0.98 ((((identity) = (sk_c8))
% 1.79/0.98 | ((inverse @ sk_c6) = (sk_c9))
% 1.79/0.98 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.79/0.98 inference('demod', [status(thm)],
% 1.79/0.98 [zip_derived_cl205, zip_derived_cl2, zip_derived_cl0,
% 1.79/0.98 zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl220, plain,
% 1.79/0.98 ((((inverse @ sk_c6) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl219])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl223, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ sk_c6) = (identity)) | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl220, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl78, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 1.79/0.98 thf(zip_derived_cl267, plain,
% 1.79/0.98 ((((sk_c6) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.79/0.98 | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl223, zip_derived_cl78])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl78, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 1.79/0.98 thf(zip_derived_cl89, plain,
% 1.79/0.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 1.79/0.98 thf(zip_derived_cl78, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 1.79/0.98 thf(zip_derived_cl78, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 1.79/0.98 thf(zip_derived_cl86, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl78])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl441, plain,
% 1.79/0.98 ((((sk_c6) = (inverse @ sk_c9)) | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl267, zip_derived_cl413])).
% 1.79/0.98 thf(prove_this_17, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.79/0.98 thf(zf_stmt_3, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.79/0.98 thf(zip_derived_cl19, plain,
% 1.79/0.98 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl89, plain,
% 1.79/0.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 1.79/0.98 thf(zip_derived_cl452, plain,
% 1.79/0.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl89])).
% 1.79/0.98 thf(zip_derived_cl471, plain,
% 1.79/0.98 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl452])).
% 1.79/0.98 thf(prove_this_11, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.79/0.98 thf(zf_stmt_4, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.79/0.98 thf(zip_derived_cl13, plain,
% 1.79/0.98 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.79/0.98 | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.79/0.98 thf(zip_derived_cl821, plain,
% 1.79/0.98 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.79/0.98 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl471, zip_derived_cl13])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl837, plain,
% 1.79/0.98 ((((identity) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.79/0.98 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl821, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl838, plain,
% 1.79/0.98 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl837])).
% 1.79/0.98 thf(zip_derived_cl1018, plain,
% 1.79/0.98 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c7))
% 1.79/0.98 | ((identity) = (sk_c8))
% 1.79/0.98 | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl838])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl1021, plain,
% 1.79/0.98 ((((identity) = (sk_c7))
% 1.79/0.98 | ((identity) = (sk_c8))
% 1.79/0.98 | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl1018, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl1022, plain,
% 1.79/0.98 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl1021])).
% 1.79/0.98 thf(prove_this_13, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.79/0.98 thf(zf_stmt_5, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.79/0.98 thf(zip_derived_cl15, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.79/0.98 thf(zip_derived_cl452, plain,
% 1.79/0.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl89])).
% 1.79/0.98 thf(zip_derived_cl467, plain,
% 1.79/0.98 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl452])).
% 1.79/0.98 thf(prove_this_7, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.79/0.98 thf(zf_stmt_6, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.79/0.98 thf(zip_derived_cl9, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.79/0.98 thf(zip_derived_cl715, plain,
% 1.79/0.98 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl467, zip_derived_cl9])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl731, plain,
% 1.79/0.98 ((((identity) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c7) = (sk_c8)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl715, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl732, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl731])).
% 1.79/0.98 thf(zip_derived_cl1029, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.79/0.98 | ((identity) = (sk_c8))
% 1.79/0.98 | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl1022, zip_derived_cl732])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl1033, plain,
% 1.79/0.98 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl1029, zip_derived_cl413])).
% 1.79/0.98 thf(zip_derived_cl1034, plain,
% 1.79/0.98 ((((identity) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl1033])).
% 1.79/0.98 thf(zip_derived_cl1040, plain,
% 1.79/0.98 ((((sk_c9) != (identity)) | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('eq_fact', [status(thm)], [zip_derived_cl1034])).
% 1.79/0.98 thf(prove_this_15, conjecture,
% 1.79/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.79/0.98 thf(zf_stmt_7, negated_conjecture,
% 1.79/0.98 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.79/0.98 thf(zip_derived_cl17, plain,
% 1.79/0.98 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl41, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ sk_c1) = (identity))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl78, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 1.79/0.98 thf(zip_derived_cl93, plain,
% 1.79/0.98 ((((sk_c1) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl78])).
% 1.79/0.98 thf(prove_this_9, conjecture,
% 1.79/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.79/0.98 thf(zf_stmt_8, negated_conjecture,
% 1.79/0.98 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.79/0.98 thf(zip_derived_cl11, plain,
% 1.79/0.98 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.79/0.98 thf(zip_derived_cl123, plain,
% 1.79/0.98 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.79/0.98 = (sk_c8))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl11])).
% 1.79/0.98 thf(zip_derived_cl2, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.79/0.98 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.79/0.98 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.79/0.98 inference('cnf', [status(esa)], [associativity])).
% 1.79/0.98 thf(zip_derived_cl0, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_identity])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl133, plain,
% 1.79/0.98 ((((identity) = (sk_c8))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.79/0.98 inference('demod', [status(thm)],
% 1.79/0.98 [zip_derived_cl123, zip_derived_cl2, zip_derived_cl0,
% 1.79/0.98 zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl134, plain,
% 1.79/0.98 ((((inverse @ sk_c4) = (sk_c5)) | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl133])).
% 1.79/0.98 thf(prove_this_14, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.79/0.98 thf(zf_stmt_9, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.79/0.98 thf(zip_derived_cl16, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.79/0.98 thf(zip_derived_cl452, plain,
% 1.79/0.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl89])).
% 1.79/0.98 thf(zip_derived_cl468, plain,
% 1.79/0.98 ((((sk_c1) = (inverse @ sk_c9)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl452])).
% 1.79/0.98 thf(prove_this_8, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.79/0.98 thf(zf_stmt_10, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c1 @ sk_c9 ) = ( sk_c8 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.79/0.98 thf(zip_derived_cl10, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c1 @ sk_c9) = (sk_c8)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.79/0.98 thf(zip_derived_cl750, plain,
% 1.79/0.98 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl468, zip_derived_cl10])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl766, plain,
% 1.79/0.98 ((((identity) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl750, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl767, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl766])).
% 1.79/0.98 thf(zip_derived_cl982, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c9))
% 1.79/0.98 | ((identity) = (sk_c8))
% 1.79/0.98 | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl767])).
% 1.79/0.98 thf(zip_derived_cl452, plain,
% 1.79/0.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl89])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl459, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl987, plain,
% 1.79/0.98 ((((identity) = (sk_c9))
% 1.79/0.98 | ((identity) = (sk_c8))
% 1.79/0.98 | ((identity) = (sk_c8)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl982, zip_derived_cl459])).
% 1.79/0.98 thf(zip_derived_cl988, plain,
% 1.79/0.98 ((((identity) = (sk_c8)) | ((identity) = (sk_c9)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl987])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl1065, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.79/0.98 (((inverse @ X0) != (sk_c9))
% 1.79/0.98 | ((multiply @ X0 @ sk_c9) != (sk_c9))
% 1.79/0.98 | ((X1) != (sk_c9))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c9) != (identity))
% 1.79/0.98 | ((inverse @ X3) != (sk_c9))
% 1.79/0.98 | ((multiply @ X3 @ sk_c9) != (X4))
% 1.79/0.98 | ((multiply @ sk_c9 @ X4) != (identity))
% 1.79/0.98 | ((inverse @ X5) != (sk_c9))
% 1.79/0.98 | ((multiply @ X5 @ sk_c9) != (identity))
% 1.79/0.98 | ((sk_c9) != (sk_c7)))),
% 1.79/0.98 inference('demod', [status(thm)],
% 1.79/0.98 [zip_derived_cl40, zip_derived_cl1045, zip_derived_cl413,
% 1.79/0.98 zip_derived_cl1045, zip_derived_cl413, zip_derived_cl1045,
% 1.79/0.98 zip_derived_cl413, zip_derived_cl1045, zip_derived_cl1045,
% 1.79/0.98 zip_derived_cl1045, zip_derived_cl1045, zip_derived_cl413])).
% 1.79/0.98 thf(prove_this_33, conjecture,
% 1.79/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.79/0.98 thf(zf_stmt_11, negated_conjecture,
% 1.79/0.98 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 1.79/0.98 thf(zip_derived_cl35, plain,
% 1.79/0.98 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.79/0.98 thf(prove_this_27, conjecture,
% 1.79/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.79/0.98 thf(zf_stmt_12, negated_conjecture,
% 1.79/0.98 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.79/0.98 thf(zip_derived_cl29, plain,
% 1.79/0.98 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.79/0.98 thf(zip_derived_cl78, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 1.79/0.98 thf(zip_derived_cl104, plain,
% 1.79/0.98 ((((sk_c9) = (multiply @ (inverse @ sk_c2) @ sk_c3))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl78])).
% 1.79/0.98 thf(zip_derived_cl307, plain,
% 1.79/0.98 ((((sk_c9) = (multiply @ sk_c9 @ sk_c3))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl104])).
% 1.79/0.98 thf(zip_derived_cl315, plain,
% 1.79/0.98 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c9) = (multiply @ sk_c9 @ sk_c3)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl307])).
% 1.79/0.98 thf(prove_this_21, conjecture,
% 1.79/0.98 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.79/0.98 thf(zf_stmt_13, negated_conjecture,
% 1.79/0.98 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.79/0.98 thf(zip_derived_cl23, plain,
% 1.79/0.98 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.79/0.98 thf(zip_derived_cl329, plain,
% 1.79/0.98 ((((sk_c9) = (sk_c8))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5))
% 1.79/0.98 | ((inverse @ sk_c4) = (sk_c5)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl315, zip_derived_cl23])).
% 1.79/0.98 thf(zip_derived_cl338, plain,
% 1.79/0.98 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c9) = (sk_c8)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl329])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl1078, plain,
% 1.79/0.98 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c9) = (identity)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl338, zip_derived_cl1045])).
% 1.79/0.98 thf(prove_this_32, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.79/0.98 thf(zf_stmt_14, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 1.79/0.98 thf(zip_derived_cl34, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.79/0.98 thf(zip_derived_cl452, plain,
% 1.79/0.98 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl413, zip_derived_cl89])).
% 1.79/0.98 thf(zip_derived_cl474, plain,
% 1.79/0.98 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl452])).
% 1.79/0.98 thf(prove_this_26, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.79/0.98 thf(zf_stmt_15, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.79/0.98 thf(zip_derived_cl28, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.79/0.98 thf(zip_derived_cl2135, plain,
% 1.79/0.98 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c3))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl474, zip_derived_cl28])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl2141, plain,
% 1.79/0.98 ((((identity) = (sk_c3))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl2135, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl2142, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((identity) = (sk_c3)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2141])).
% 1.79/0.98 thf(prove_this_20, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.79/0.98 thf(zf_stmt_16, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c9 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.79/0.98 thf(zip_derived_cl22, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl1895, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c3) = (identity)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl1045])).
% 1.79/0.98 thf(zip_derived_cl2152, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ identity) = (identity))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl2142, zip_derived_cl1895])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl2161, plain,
% 1.79/0.98 ((((sk_c9) = (identity))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9))
% 1.79/0.98 | ((multiply @ sk_c4 @ sk_c5) = (sk_c9)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl2152, zip_derived_cl413])).
% 1.79/0.98 thf(zip_derived_cl2162, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ sk_c5) = (sk_c9)) | ((sk_c9) = (identity)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2161])).
% 1.79/0.98 thf(zip_derived_cl2173, plain,
% 1.79/0.98 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c9))
% 1.79/0.98 | ((sk_c9) = (identity))
% 1.79/0.98 | ((sk_c9) = (identity)))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl1078, zip_derived_cl2162])).
% 1.79/0.98 thf(zip_derived_cl459, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl452, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl2183, plain,
% 1.79/0.98 ((((identity) = (sk_c9))
% 1.79/0.98 | ((sk_c9) = (identity))
% 1.79/0.98 | ((sk_c9) = (identity)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl2173, zip_derived_cl459])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl0, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_identity])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl0, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_identity])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl2232, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.79/0.98 (((inverse @ X0) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((identity) != (identity))
% 1.79/0.98 | ((inverse @ X3) != (identity))
% 1.79/0.98 | ((X3) != (X4))
% 1.79/0.98 | ((X4) != (identity))
% 1.79/0.98 | ((inverse @ X5) != (identity))
% 1.79/0.98 | ((X5) != (identity))
% 1.79/0.98 | ((identity) != (sk_c7)))),
% 1.79/0.98 inference('demod', [status(thm)],
% 1.79/0.98 [zip_derived_cl1065, zip_derived_cl2184, zip_derived_cl2184,
% 1.79/0.98 zip_derived_cl413, zip_derived_cl2184, zip_derived_cl2184,
% 1.79/0.98 zip_derived_cl2184, zip_derived_cl2184, zip_derived_cl2184,
% 1.79/0.98 zip_derived_cl0, zip_derived_cl2184, zip_derived_cl2184,
% 1.79/0.98 zip_derived_cl413, zip_derived_cl2184, zip_derived_cl0,
% 1.79/0.98 zip_derived_cl2184, zip_derived_cl2184, zip_derived_cl413,
% 1.79/0.98 zip_derived_cl2184])).
% 1.79/0.98 thf(zip_derived_cl2233, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.79/0.98 (((identity) != (sk_c7))
% 1.79/0.98 | ((X5) != (identity))
% 1.79/0.98 | ((inverse @ X5) != (identity))
% 1.79/0.98 | ((X4) != (identity))
% 1.79/0.98 | ((X3) != (X4))
% 1.79/0.98 | ((inverse @ X3) != (identity))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((inverse @ X0) != (identity)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2232])).
% 1.79/0.98 thf(prove_this_1, conjecture,
% 1.79/0.98 (~( ( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 1.79/0.98 thf(zf_stmt_17, negated_conjecture,
% 1.79/0.98 (( ( multiply @ sk_c9 @ sk_c7 ) = ( sk_c8 ) ) |
% 1.79/0.98 ( ( multiply @ sk_c9 @ sk_c8 ) = ( sk_c7 ) )),
% 1.79/0.98 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.79/0.98 thf(zip_derived_cl3, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ sk_c7) = (sk_c8))
% 1.79/0.98 | ((multiply @ sk_c9 @ sk_c8) = (sk_c7)))),
% 1.79/0.98 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl1045, plain, (((identity) = (sk_c8))),
% 1.79/0.98 inference('clc', [status(thm)], [zip_derived_cl1040, zip_derived_cl988])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl1046, plain,
% 1.79/0.98 ((((multiply @ sk_c9 @ sk_c7) = (identity)) | ((sk_c9) = (sk_c7)))),
% 1.79/0.98 inference('demod', [status(thm)],
% 1.79/0.98 [zip_derived_cl3, zip_derived_cl1045, zip_derived_cl1045,
% 1.79/0.98 zip_derived_cl413])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl0, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_identity])).
% 1.79/0.98 thf(zip_derived_cl2184, plain, (((identity) = (sk_c9))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2183])).
% 1.79/0.98 thf(zip_derived_cl2218, plain,
% 1.79/0.98 ((((sk_c7) = (identity)) | ((identity) = (sk_c7)))),
% 1.79/0.98 inference('demod', [status(thm)],
% 1.79/0.98 [zip_derived_cl1046, zip_derived_cl2184, zip_derived_cl0,
% 1.79/0.98 zip_derived_cl2184])).
% 1.79/0.98 thf(zip_derived_cl2219, plain, (((sk_c7) = (identity))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2218])).
% 1.79/0.98 thf(zip_derived_cl2301, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.79/0.98 (((identity) != (identity))
% 1.79/0.98 | ((X5) != (identity))
% 1.79/0.98 | ((inverse @ X5) != (identity))
% 1.79/0.98 | ((X4) != (identity))
% 1.79/0.98 | ((X3) != (X4))
% 1.79/0.98 | ((inverse @ X3) != (identity))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((inverse @ X0) != (identity)))),
% 1.79/0.98 inference('demod', [status(thm)],
% 1.79/0.98 [zip_derived_cl2233, zip_derived_cl2219])).
% 1.79/0.98 thf(zip_derived_cl2302, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.79/0.98 (((inverse @ X0) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((inverse @ X3) != (identity))
% 1.79/0.98 | ((X3) != (X4))
% 1.79/0.98 | ((X4) != (identity))
% 1.79/0.98 | ((inverse @ X5) != (identity))
% 1.79/0.98 | ((X5) != (identity)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2301])).
% 1.79/0.98 thf(zip_derived_cl2303, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.79/0.98 (((X0) != (identity))
% 1.79/0.98 | ((inverse @ X0) != (identity))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((inverse @ X1) != (identity))
% 1.79/0.98 | ((multiply @ X3 @ X2) != (identity))
% 1.79/0.98 | ((inverse @ X3) != (X2))
% 1.79/0.98 | ((X2) != (identity))
% 1.79/0.98 | ((X4) != (identity))
% 1.79/0.98 | ((inverse @ X4) != (identity)))),
% 1.79/0.98 inference('eq_res', [status(thm)], [zip_derived_cl2302])).
% 1.79/0.98 thf(zip_derived_cl2304, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.79/0.98 (((inverse @ X0) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((inverse @ X3) != (identity))
% 1.79/0.98 | ((X3) != (identity))
% 1.79/0.98 | ((inverse @ identity) != (identity)))),
% 1.79/0.98 inference('eq_res', [status(thm)], [zip_derived_cl2303])).
% 1.79/0.98 thf(zip_derived_cl0, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_identity])).
% 1.79/0.98 thf(zip_derived_cl78, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 1.79/0.98 thf(zip_derived_cl88, plain,
% 1.79/0.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl78])).
% 1.79/0.98 thf(zip_derived_cl78, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 1.79/0.98 thf(zip_derived_cl121, plain,
% 1.79/0.98 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl78])).
% 1.79/0.98 thf(zip_derived_cl1, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.79/0.98 inference('cnf', [status(esa)], [left_inverse])).
% 1.79/0.98 thf(zip_derived_cl373, plain, (((inverse @ identity) = (identity))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl2305, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.79/0.98 (((inverse @ X0) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((inverse @ X3) != (identity))
% 1.79/0.98 | ((X3) != (identity))
% 1.79/0.98 | ((identity) != (identity)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl2304, zip_derived_cl373])).
% 1.79/0.98 thf(zip_derived_cl2306, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.79/0.98 (((X3) != (identity))
% 1.79/0.98 | ((inverse @ X3) != (identity))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((inverse @ X0) != (identity)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2305])).
% 1.79/0.98 thf(zip_derived_cl2307, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.79/0.98 (((inverse @ X0) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((inverse @ identity) != (identity)))),
% 1.79/0.98 inference('eq_res', [status(thm)], [zip_derived_cl2306])).
% 1.79/0.98 thf(zip_derived_cl373, plain, (((inverse @ identity) = (identity))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl2308, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.79/0.98 (((inverse @ X0) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((identity) != (identity)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl2307, zip_derived_cl373])).
% 1.79/0.98 thf(zip_derived_cl2309, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.79/0.98 (((multiply @ X2 @ X1) != (identity))
% 1.79/0.98 | ((inverse @ X2) != (X1))
% 1.79/0.98 | ((X1) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((inverse @ X0) != (identity)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2308])).
% 1.79/0.98 thf(zip_derived_cl2310, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 (((inverse @ X0) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((inverse @ X1) != (identity))
% 1.79/0.98 | ((multiply @ X1 @ identity) != (identity)))),
% 1.79/0.98 inference('eq_res', [status(thm)], [zip_derived_cl2309])).
% 1.79/0.98 thf(zip_derived_cl413, plain,
% 1.79/0.98 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl86])).
% 1.79/0.98 thf(zip_derived_cl2311, plain,
% 1.79/0.98 (![X0 : $i, X1 : $i]:
% 1.79/0.98 (((inverse @ X0) != (identity))
% 1.79/0.98 | ((X0) != (identity))
% 1.79/0.98 | ((inverse @ X1) != (identity))
% 1.79/0.98 | ((X1) != (identity)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl2310, zip_derived_cl413])).
% 1.79/0.98 thf(zip_derived_cl2312, plain,
% 1.79/0.98 (![X0 : $i]:
% 1.79/0.98 (((X0) != (identity))
% 1.79/0.98 | ((inverse @ X0) != (identity))
% 1.79/0.98 | ((inverse @ identity) != (identity)))),
% 1.79/0.98 inference('eq_res', [status(thm)], [zip_derived_cl2311])).
% 1.79/0.98 thf(zip_derived_cl373, plain, (((inverse @ identity) = (identity))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl2313, plain,
% 1.79/0.98 (![X0 : $i]:
% 1.79/0.98 (((X0) != (identity))
% 1.79/0.98 | ((inverse @ X0) != (identity))
% 1.79/0.98 | ((identity) != (identity)))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl2312, zip_derived_cl373])).
% 1.79/0.98 thf(zip_derived_cl2314, plain,
% 1.79/0.98 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2313])).
% 1.79/0.98 thf(zip_derived_cl2355, plain, (((inverse @ identity) != (identity))),
% 1.79/0.98 inference('eq_res', [status(thm)], [zip_derived_cl2314])).
% 1.79/0.98 thf(zip_derived_cl373, plain, (((inverse @ identity) = (identity))),
% 1.79/0.98 inference('sup+', [status(thm)], [zip_derived_cl121, zip_derived_cl1])).
% 1.79/0.98 thf(zip_derived_cl2356, plain, (((identity) != (identity))),
% 1.79/0.98 inference('demod', [status(thm)], [zip_derived_cl2355, zip_derived_cl373])).
% 1.79/0.98 thf(zip_derived_cl2357, plain, ($false),
% 1.79/0.98 inference('simplify', [status(thm)], [zip_derived_cl2356])).
% 1.79/0.98
% 1.79/0.98 % SZS output end Refutation
% 1.79/0.98
% 1.79/0.98
% 1.79/0.98 % Terminating...
% 2.82/1.08 % Runner terminated.
% 2.82/1.10 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------