TSTP Solution File: GRP231-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rixKdVCYlx true
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:49 EDT 2023
% Result : Unsatisfiable 2.74s 0.97s
% Output : Refutation 2.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rixKdVCYlx true
% 0.16/0.34 % Computer : n001.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon Aug 28 20:23:35 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 2.74/0.97 % Solved by fo/fo7.sh.
% 2.74/0.97 % done 624 iterations in 0.202s
% 2.74/0.97 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.74/0.97 % SZS output start Refutation
% 2.74/0.97 thf(sk_c2_type, type, sk_c2: $i).
% 2.74/0.97 thf(sk_c4_type, type, sk_c4: $i).
% 2.74/0.97 thf(sk_c1_type, type, sk_c1: $i).
% 2.74/0.97 thf(sk_c5_type, type, sk_c5: $i).
% 2.74/0.97 thf(identity_type, type, identity: $i).
% 2.74/0.97 thf(multiply_type, type, multiply: $i > $i > $i).
% 2.74/0.97 thf(sk_c7_type, type, sk_c7: $i).
% 2.74/0.97 thf(inverse_type, type, inverse: $i > $i).
% 2.74/0.97 thf(sk_c6_type, type, sk_c6: $i).
% 2.74/0.97 thf(sk_c3_type, type, sk_c3: $i).
% 2.74/0.97 thf(sk_c8_type, type, sk_c8: $i).
% 2.74/0.97 thf(prove_this_31, conjecture,
% 2.74/0.97 (~( ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 2.74/0.97 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ X4 ) != ( X5 ) ) |
% 2.74/0.97 ( ( multiply @ X4 @ X5 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) ))).
% 2.74/0.97 thf(zf_stmt_0, negated_conjecture,
% 2.74/0.97 (( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 2.74/0.97 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ X6 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ X5 @ sk_c7 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ X4 ) != ( X5 ) ) |
% 2.74/0.97 ( ( multiply @ X4 @ X5 ) != ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c8 ) != ( sk_c7 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 2.74/0.97 thf(zip_derived_cl33, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.74/0.97 (((inverse @ X0) != (sk_c8))
% 2.74/0.97 | ((multiply @ X0 @ sk_c8) != (X1))
% 2.74/0.97 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 2.74/0.97 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 2.74/0.97 | ((inverse @ X2) != (sk_c8))
% 2.74/0.97 | ((multiply @ X3 @ sk_c7) != (sk_c8))
% 2.74/0.97 | ((inverse @ X3) != (sk_c8))
% 2.74/0.97 | ((multiply @ X4 @ sk_c7) != (sk_c8))
% 2.74/0.97 | ((inverse @ X5) != (X4))
% 2.74/0.97 | ((multiply @ X5 @ X4) != (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c8) != (sk_c7)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_0])).
% 2.74/0.97 thf(zip_derived_cl34, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.74/0.97 (((inverse @ X0) != (sk_c8))
% 2.74/0.97 | ((multiply @ X0 @ sk_c8) != (X1))
% 2.74/0.97 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 2.74/0.97 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 2.74/0.97 | ((inverse @ X2) != (sk_c8))
% 2.74/0.97 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 2.74/0.97 | ((inverse @ X3) != (sk_c8))
% 2.74/0.97 | ((multiply @ X4 @ (inverse @ sk_c8)) != (sk_c8))
% 2.74/0.97 | ((inverse @ X5) != (X4))
% 2.74/0.97 | ((multiply @ X5 @ X4) != (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c8) != (sk_c7)))),
% 2.74/0.97 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 2.74/0.97 thf(prove_this_21, conjecture,
% 2.74/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 2.74/0.97 thf(zf_stmt_1, negated_conjecture,
% 2.74/0.97 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 2.74/0.97 thf(zip_derived_cl23, plain,
% 2.74/0.97 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c8)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.74/0.97 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 2.74/0.97 thf(zip_derived_cl1, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.74/0.97 thf(zip_derived_cl37, plain,
% 2.74/0.97 ((((multiply @ sk_c8 @ sk_c3) = (identity))
% 2.74/0.97 | ((inverse @ sk_c4) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl1, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.74/0.97 thf(associativity, axiom,
% 2.74/0.97 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 2.74/0.97 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 2.74/0.97 thf(zip_derived_cl2, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.74/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.74/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.74/0.97 inference('cnf', [status(esa)], [associativity])).
% 2.74/0.97 thf(zip_derived_cl75, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((multiply @ identity @ X0)
% 2.74/0.97 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 2.74/0.97 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl91, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl106, plain,
% 2.74/0.97 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 2.74/0.97 | ((inverse @ sk_c4) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl91])).
% 2.74/0.97 thf(prove_this_26, conjecture,
% 2.74/0.97 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 2.74/0.97 thf(zf_stmt_2, negated_conjecture,
% 2.74/0.97 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 2.74/0.97 thf(zip_derived_cl28, plain,
% 2.74/0.97 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_2])).
% 2.74/0.97 thf(zip_derived_cl203, plain,
% 2.74/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c7)
% 2.74/0.97 = (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c4) = (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c4) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl106, zip_derived_cl28])).
% 2.74/0.97 thf(zip_derived_cl2, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.74/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.74/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.74/0.97 inference('cnf', [status(esa)], [associativity])).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl208, plain,
% 2.74/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c4) = (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c4) = (sk_c8)))),
% 2.74/0.97 inference('demod', [status(thm)],
% 2.74/0.97 [zip_derived_cl203, zip_derived_cl2, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl209, plain,
% 2.74/0.97 ((((inverse @ sk_c4) = (sk_c8))
% 2.74/0.97 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl208])).
% 2.74/0.97 thf(zip_derived_cl1, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.74/0.97 thf(zip_derived_cl91, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl101, plain,
% 2.74/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl91])).
% 2.74/0.97 thf(zip_derived_cl91, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl91, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl98, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl91])).
% 2.74/0.97 thf(zip_derived_cl500, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl98])).
% 2.74/0.97 thf(zip_derived_cl101, plain,
% 2.74/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl91])).
% 2.74/0.97 thf(zip_derived_cl527, plain,
% 2.74/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl101])).
% 2.74/0.97 thf(zip_derived_cl538, plain,
% 2.74/0.97 ((((sk_c4) = (inverse @ sk_c8))
% 2.74/0.97 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl209, zip_derived_cl527])).
% 2.74/0.97 thf(prove_this_22, conjecture,
% 2.74/0.97 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c3 ) = ( sk_c8 ) ) ))).
% 2.74/0.97 thf(zf_stmt_3, negated_conjecture,
% 2.74/0.97 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c3 ) = ( sk_c8 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 2.74/0.97 thf(zip_derived_cl24, plain,
% 2.74/0.97 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c3) = (sk_c8)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.74/0.97 thf(zip_derived_cl101, plain,
% 2.74/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl91])).
% 2.74/0.97 thf(zip_derived_cl331, plain,
% 2.74/0.97 ((((sk_c3) = (multiply @ (inverse @ sk_c8) @ identity))
% 2.74/0.97 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl101])).
% 2.74/0.97 thf(prove_this_27, conjecture,
% 2.74/0.97 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) ) ))).
% 2.74/0.97 thf(zf_stmt_4, negated_conjecture,
% 2.74/0.97 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c8 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 2.74/0.97 thf(zip_derived_cl29, plain,
% 2.74/0.97 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 2.74/0.97 | ((multiply @ sk_c3 @ sk_c7) = (sk_c8)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_4])).
% 2.74/0.97 thf(zip_derived_cl397, plain,
% 2.74/0.97 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c7)
% 2.74/0.97 = (sk_c8))
% 2.74/0.97 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 2.74/0.97 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl331, zip_derived_cl29])).
% 2.74/0.97 thf(zip_derived_cl2, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.74/0.97 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 2.74/0.97 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 2.74/0.97 inference('cnf', [status(esa)], [associativity])).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl407, plain,
% 2.74/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 2.74/0.97 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 2.74/0.97 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 2.74/0.97 inference('demod', [status(thm)],
% 2.74/0.97 [zip_derived_cl397, zip_derived_cl2, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl408, plain,
% 2.74/0.97 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 2.74/0.97 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl407])).
% 2.74/0.97 thf(zip_derived_cl2702, plain,
% 2.74/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 2.74/0.97 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 2.74/0.97 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl538, zip_derived_cl408])).
% 2.74/0.97 thf(zip_derived_cl2707, plain,
% 2.74/0.97 (((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl2702])).
% 2.74/0.97 thf(zip_derived_cl527, plain,
% 2.74/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl101])).
% 2.74/0.97 thf(zip_derived_cl91, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl534, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl527, zip_derived_cl91])).
% 2.74/0.97 thf(zip_derived_cl2714, plain, (((sk_c7) = (multiply @ sk_c8 @ sk_c8))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl2707, zip_derived_cl534])).
% 2.74/0.97 thf(zip_derived_cl2744, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.74/0.97 (((inverse @ X0) != (sk_c8))
% 2.74/0.97 | ((multiply @ X0 @ sk_c8) != (X1))
% 2.74/0.97 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 2.74/0.97 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 2.74/0.97 | ((inverse @ X2) != (sk_c8))
% 2.74/0.97 | ((multiply @ X3 @ (inverse @ sk_c8)) != (sk_c8))
% 2.74/0.97 | ((inverse @ X3) != (sk_c8))
% 2.74/0.97 | ((multiply @ X4 @ (inverse @ sk_c8)) != (sk_c8))
% 2.74/0.97 | ((inverse @ X5) != (X4))
% 2.74/0.97 | ((multiply @ X5 @ X4) != (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c8) != (multiply @ sk_c8 @ sk_c8)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl2714])).
% 2.74/0.97 thf(zip_derived_cl2745, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.74/0.97 (((inverse @ X0) != (sk_c8))
% 2.74/0.97 | ((multiply @ X0 @ sk_c8) != (X1))
% 2.74/0.97 | ((multiply @ sk_c8 @ X1) != (multiply @ sk_c8 @ sk_c8))
% 2.74/0.97 | ((multiply @ X2 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c8))
% 2.74/0.97 | ((inverse @ X2) != (sk_c8))
% 2.74/0.97 | ((multiply @ X3 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c8))
% 2.74/0.97 | ((inverse @ X3) != (sk_c8))
% 2.74/0.97 | ((multiply @ X4 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c8))
% 2.74/0.97 | ((inverse @ X5) != (X4))
% 2.74/0.97 | ((multiply @ X5 @ X4) != (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c8) != (multiply @ sk_c8 @ sk_c8)))),
% 2.74/0.97 inference('local_rewriting', [status(thm)], [zip_derived_cl2744])).
% 2.74/0.97 thf(prove_this_15, conjecture,
% 2.74/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 2.74/0.97 thf(zf_stmt_5, negated_conjecture,
% 2.74/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 2.74/0.97 thf(zip_derived_cl17, plain,
% 2.74/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c2)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.74/0.97 thf(prove_this_10, conjecture,
% 2.74/0.97 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 2.74/0.97 thf(zf_stmt_6, negated_conjecture,
% 2.74/0.97 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 2.74/0.97 thf(zip_derived_cl12, plain,
% 2.74/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_6])).
% 2.74/0.97 thf(zip_derived_cl52, plain,
% 2.74/0.97 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c5) = (sk_c8))
% 2.74/0.97 | ((inverse @ sk_c5) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl12])).
% 2.74/0.97 thf(zip_derived_cl53, plain,
% 2.74/0.97 ((((inverse @ sk_c5) = (sk_c8))
% 2.74/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl52])).
% 2.74/0.97 thf(zip_derived_cl527, plain,
% 2.74/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl101])).
% 2.74/0.97 thf(zip_derived_cl1, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.74/0.97 thf(zip_derived_cl532, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl527, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl1040, plain,
% 2.74/0.97 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c8)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl532])).
% 2.74/0.97 thf(zip_derived_cl527, plain,
% 2.74/0.97 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl500, zip_derived_cl101])).
% 2.74/0.97 thf(zip_derived_cl1042, plain,
% 2.74/0.97 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl1040, zip_derived_cl527])).
% 2.74/0.97 thf(prove_this_14, conjecture,
% 2.74/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 2.74/0.97 thf(zf_stmt_7, negated_conjecture,
% 2.74/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 2.74/0.97 thf(zip_derived_cl16, plain,
% 2.74/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c2)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.74/0.97 thf(prove_this_9, conjecture,
% 2.74/0.97 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 2.74/0.97 thf(zf_stmt_8, negated_conjecture,
% 2.74/0.97 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 2.74/0.97 thf(zip_derived_cl11, plain,
% 2.74/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.74/0.97 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_8])).
% 2.74/0.97 thf(zip_derived_cl168, plain,
% 2.74/0.97 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 2.74/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.74/0.97 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 2.74/0.97 thf(zip_derived_cl170, plain,
% 2.74/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 2.74/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl168])).
% 2.74/0.97 thf(zip_derived_cl532, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl527, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl3169, plain,
% 2.74/0.97 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c8)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl170, zip_derived_cl532])).
% 2.74/0.97 thf(zip_derived_cl3175, plain,
% 2.74/0.97 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 2.74/0.97 | ((identity) = (sk_c8))
% 2.74/0.97 | ((identity) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl1042, zip_derived_cl3169])).
% 2.74/0.97 thf(zip_derived_cl1, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.74/0.97 thf(zip_derived_cl3179, plain,
% 2.74/0.97 ((((identity) = (sk_c6))
% 2.74/0.97 | ((identity) = (sk_c8))
% 2.74/0.97 | ((identity) = (sk_c8)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl3175, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl3180, plain,
% 2.74/0.97 ((((identity) = (sk_c8)) | ((identity) = (sk_c6)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3179])).
% 2.74/0.97 thf(prove_this_13, conjecture,
% 2.74/0.97 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c1 ) = ( sk_c2 ) ) ))).
% 2.74/0.97 thf(zf_stmt_9, negated_conjecture,
% 2.74/0.97 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.74/0.97 ( ( inverse @ sk_c1 ) = ( sk_c2 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 2.74/0.97 thf(zip_derived_cl15, plain,
% 2.74/0.97 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c2)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.74/0.97 thf(prove_this_8, conjecture,
% 2.74/0.97 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) ) ))).
% 2.74/0.97 thf(zf_stmt_10, negated_conjecture,
% 2.74/0.97 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 2.74/0.97 ( ( multiply @ sk_c1 @ sk_c2 ) = ( sk_c8 ) )),
% 2.74/0.97 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 2.74/0.97 thf(zip_derived_cl10, plain,
% 2.74/0.97 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 2.74/0.97 | ((multiply @ sk_c1 @ sk_c2) = (sk_c8)))),
% 2.74/0.97 inference('cnf', [status(esa)], [zf_stmt_10])).
% 2.74/0.97 thf(zip_derived_cl159, plain,
% 2.74/0.97 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8))
% 2.74/0.97 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 2.74/0.97 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl10])).
% 2.74/0.97 thf(zip_derived_cl162, plain,
% 2.74/0.97 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 2.74/0.97 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c8)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl159])).
% 2.74/0.97 thf(zip_derived_cl2714, plain, (((sk_c7) = (multiply @ sk_c8 @ sk_c8))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl2707, zip_derived_cl534])).
% 2.74/0.97 thf(zip_derived_cl532, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl527, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl3030, plain,
% 2.74/0.97 ((((multiply @ sk_c8 @ sk_c6) = (multiply @ sk_c8 @ sk_c8))
% 2.74/0.97 | ((identity) = (sk_c8)))),
% 2.74/0.97 inference('demod', [status(thm)],
% 2.74/0.97 [zip_derived_cl162, zip_derived_cl2714, zip_derived_cl532])).
% 2.74/0.97 thf(zip_derived_cl91, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl3032, plain,
% 2.74/0.97 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ (multiply @ sk_c8 @ sk_c8)))
% 2.74/0.97 | ((identity) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl3030, zip_derived_cl91])).
% 2.74/0.97 thf(zip_derived_cl91, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl3039, plain,
% 2.74/0.97 ((((sk_c6) = (sk_c8)) | ((identity) = (sk_c8)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl3032, zip_derived_cl91])).
% 2.74/0.97 thf(zip_derived_cl3189, plain,
% 2.74/0.97 ((((identity) = (sk_c8))
% 2.74/0.97 | ((identity) = (sk_c8))
% 2.74/0.97 | ((identity) = (sk_c8)))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl3180, zip_derived_cl3039])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl500, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl98])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl500, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl98])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl500, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl98])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl500, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl98])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl91, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl100, plain,
% 2.74/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl91])).
% 2.74/0.97 thf(zip_derived_cl91, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl126, plain,
% 2.74/0.97 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl91])).
% 2.74/0.97 thf(zip_derived_cl1, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_inverse])).
% 2.74/0.97 thf(zip_derived_cl338, plain, (((inverse @ identity) = (identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl3193, plain, (((identity) = (sk_c8))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3189])).
% 2.74/0.97 thf(zip_derived_cl0, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 2.74/0.97 inference('cnf', [status(esa)], [left_identity])).
% 2.74/0.97 thf(zip_derived_cl3231, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.74/0.97 (((inverse @ X0) != (identity))
% 2.74/0.97 | ((X0) != (X1))
% 2.74/0.97 | ((X1) != (identity))
% 2.74/0.97 | ((X2) != (identity))
% 2.74/0.97 | ((inverse @ X2) != (identity))
% 2.74/0.97 | ((X3) != (identity))
% 2.74/0.97 | ((inverse @ X3) != (identity))
% 2.74/0.97 | ((X4) != (identity))
% 2.74/0.97 | ((inverse @ X5) != (X4))
% 2.74/0.97 | ((multiply @ X5 @ X4) != (identity))
% 2.74/0.97 | ((identity) != (identity)))),
% 2.74/0.97 inference('demod', [status(thm)],
% 2.74/0.97 [zip_derived_cl2745, zip_derived_cl3193, zip_derived_cl3193,
% 2.74/0.97 zip_derived_cl500, zip_derived_cl3193, zip_derived_cl0,
% 2.74/0.97 zip_derived_cl3193, zip_derived_cl3193, zip_derived_cl0,
% 2.74/0.97 zip_derived_cl3193, zip_derived_cl3193, zip_derived_cl0,
% 2.74/0.97 zip_derived_cl500, zip_derived_cl3193, zip_derived_cl3193,
% 2.74/0.97 zip_derived_cl3193, zip_derived_cl3193, zip_derived_cl0,
% 2.74/0.97 zip_derived_cl500, zip_derived_cl3193, zip_derived_cl3193,
% 2.74/0.97 zip_derived_cl3193, zip_derived_cl3193, zip_derived_cl0,
% 2.74/0.97 zip_derived_cl500, zip_derived_cl3193, zip_derived_cl3193,
% 2.74/0.97 zip_derived_cl3193, zip_derived_cl338, zip_derived_cl3193,
% 2.74/0.97 zip_derived_cl3193, zip_derived_cl0])).
% 2.74/0.97 thf(zip_derived_cl3232, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 2.74/0.97 (((multiply @ X5 @ X4) != (identity))
% 2.74/0.97 | ((inverse @ X5) != (X4))
% 2.74/0.97 | ((X4) != (identity))
% 2.74/0.97 | ((inverse @ X3) != (identity))
% 2.74/0.97 | ((X3) != (identity))
% 2.74/0.97 | ((inverse @ X2) != (identity))
% 2.74/0.97 | ((X2) != (identity))
% 2.74/0.97 | ((X1) != (identity))
% 2.74/0.97 | ((X0) != (X1))
% 2.74/0.97 | ((inverse @ X0) != (identity)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3231])).
% 2.74/0.97 thf(zip_derived_cl3249, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 2.74/0.97 (((inverse @ X0) != (identity))
% 2.74/0.97 | ((X0) != (identity))
% 2.74/0.97 | ((X1) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (identity))
% 2.74/0.97 | ((X2) != (identity))
% 2.74/0.97 | ((inverse @ X2) != (identity))
% 2.74/0.97 | ((X3) != (identity))
% 2.74/0.97 | ((inverse @ X4) != (X3))
% 2.74/0.97 | ((multiply @ X4 @ X3) != (identity)))),
% 2.74/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3232])).
% 2.74/0.97 thf(zip_derived_cl3250, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.74/0.97 (((multiply @ X1 @ X0) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (X0))
% 2.74/0.97 | ((X0) != (identity))
% 2.74/0.97 | ((inverse @ X2) != (identity))
% 2.74/0.97 | ((X2) != (identity))
% 2.74/0.97 | ((inverse @ X3) != (identity))
% 2.74/0.97 | ((X3) != (identity))
% 2.74/0.97 | ((inverse @ identity) != (identity)))),
% 2.74/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3249])).
% 2.74/0.97 thf(zip_derived_cl338, plain, (((inverse @ identity) = (identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl3251, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.74/0.97 (((multiply @ X1 @ X0) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (X0))
% 2.74/0.97 | ((X0) != (identity))
% 2.74/0.97 | ((inverse @ X2) != (identity))
% 2.74/0.97 | ((X2) != (identity))
% 2.74/0.97 | ((inverse @ X3) != (identity))
% 2.74/0.97 | ((X3) != (identity))
% 2.74/0.97 | ((identity) != (identity)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl3250, zip_derived_cl338])).
% 2.74/0.97 thf(zip_derived_cl3252, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.74/0.97 (((X3) != (identity))
% 2.74/0.97 | ((inverse @ X3) != (identity))
% 2.74/0.97 | ((X2) != (identity))
% 2.74/0.97 | ((inverse @ X2) != (identity))
% 2.74/0.97 | ((X0) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (X0))
% 2.74/0.97 | ((multiply @ X1 @ X0) != (identity)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3251])).
% 2.74/0.97 thf(zip_derived_cl3253, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.74/0.97 (((multiply @ X1 @ X0) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (X0))
% 2.74/0.97 | ((X0) != (identity))
% 2.74/0.97 | ((inverse @ X2) != (identity))
% 2.74/0.97 | ((X2) != (identity))
% 2.74/0.97 | ((inverse @ identity) != (identity)))),
% 2.74/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3252])).
% 2.74/0.97 thf(zip_derived_cl338, plain, (((inverse @ identity) = (identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl3254, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.74/0.97 (((multiply @ X1 @ X0) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (X0))
% 2.74/0.97 | ((X0) != (identity))
% 2.74/0.97 | ((inverse @ X2) != (identity))
% 2.74/0.97 | ((X2) != (identity))
% 2.74/0.97 | ((identity) != (identity)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl3253, zip_derived_cl338])).
% 2.74/0.97 thf(zip_derived_cl3255, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.74/0.97 (((X2) != (identity))
% 2.74/0.97 | ((inverse @ X2) != (identity))
% 2.74/0.97 | ((X0) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (X0))
% 2.74/0.97 | ((multiply @ X1 @ X0) != (identity)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3254])).
% 2.74/0.97 thf(zip_derived_cl3256, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 (((multiply @ X1 @ X0) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (X0))
% 2.74/0.97 | ((X0) != (identity))
% 2.74/0.97 | ((inverse @ identity) != (identity)))),
% 2.74/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3255])).
% 2.74/0.97 thf(zip_derived_cl338, plain, (((inverse @ identity) = (identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl3257, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 (((multiply @ X1 @ X0) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (X0))
% 2.74/0.97 | ((X0) != (identity))
% 2.74/0.97 | ((identity) != (identity)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl3256, zip_derived_cl338])).
% 2.74/0.97 thf(zip_derived_cl3258, plain,
% 2.74/0.97 (![X0 : $i, X1 : $i]:
% 2.74/0.97 (((X0) != (identity))
% 2.74/0.97 | ((inverse @ X1) != (X0))
% 2.74/0.97 | ((multiply @ X1 @ X0) != (identity)))),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3257])).
% 2.74/0.97 thf(zip_derived_cl3259, plain,
% 2.74/0.97 (![X0 : $i]:
% 2.74/0.97 (((multiply @ X0 @ identity) != (identity))
% 2.74/0.97 | ((inverse @ X0) != (identity)))),
% 2.74/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3258])).
% 2.74/0.97 thf(zip_derived_cl500, plain,
% 2.74/0.97 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl101, zip_derived_cl98])).
% 2.74/0.97 thf(zip_derived_cl3260, plain,
% 2.74/0.97 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl3259, zip_derived_cl500])).
% 2.74/0.97 thf(zip_derived_cl3283, plain, (((inverse @ identity) != (identity))),
% 2.74/0.97 inference('eq_res', [status(thm)], [zip_derived_cl3260])).
% 2.74/0.97 thf(zip_derived_cl338, plain, (((inverse @ identity) = (identity))),
% 2.74/0.97 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl1])).
% 2.74/0.97 thf(zip_derived_cl3284, plain, (((identity) != (identity))),
% 2.74/0.97 inference('demod', [status(thm)], [zip_derived_cl3283, zip_derived_cl338])).
% 2.74/0.97 thf(zip_derived_cl3285, plain, ($false),
% 2.74/0.97 inference('simplify', [status(thm)], [zip_derived_cl3284])).
% 2.74/0.97
% 2.74/0.97 % SZS output end Refutation
% 2.74/0.97
% 2.74/0.97
% 2.74/0.97 % Terminating...
% 2.91/1.04 % Runner terminated.
% 2.95/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------