TSTP Solution File: GRP341-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP341-1 : 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.4Rblpkrwnk true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:16 EDT 2023
% Result : Unsatisfiable 0.56s 1.00s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP341-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4Rblpkrwnk true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 01:35:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.49/0.63 % Total configuration time : 435
% 0.49/0.63 % Estimated wc time : 1092
% 0.49/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/1.00 % Solved by fo/fo7.sh.
% 0.56/1.00 % done 459 iterations in 0.217s
% 0.56/1.00 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/1.00 % SZS output start Refutation
% 0.56/1.00 thf(sk_c2_type, type, sk_c2: $i).
% 0.56/1.00 thf(sk_c5_type, type, sk_c5: $i).
% 0.56/1.00 thf(sk_c1_type, type, sk_c1: $i).
% 0.56/1.00 thf(sk_c4_type, type, sk_c4: $i).
% 0.56/1.00 thf(identity_type, type, identity: $i).
% 0.56/1.00 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.56/1.00 thf(sk_c7_type, type, sk_c7: $i).
% 0.56/1.00 thf(inverse_type, type, inverse: $i > $i).
% 0.56/1.00 thf(sk_c3_type, type, sk_c3: $i).
% 0.56/1.00 thf(sk_c6_type, type, sk_c6: $i).
% 0.56/1.00 thf(prove_this_36, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c5 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) ))).
% 0.56/1.00 thf(zf_stmt_0, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c5 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c5 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c5 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ X4 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 0.56/1.00 thf(zip_derived_cl38, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((multiply @ sk_c5 @ sk_c6) != (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c5 @ sk_c7) != (sk_c6))
% 0.56/1.00 | ((inverse @ X0) != (sk_c6))
% 0.56/1.00 | ((multiply @ X0 @ sk_c6) != (sk_c5))
% 0.56/1.00 | ((inverse @ sk_c5) != (sk_c6))
% 0.56/1.00 | ((inverse @ X1) != (sk_c7))
% 0.56/1.00 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 0.56/1.00 | ((multiply @ X2 @ sk_c5) != (sk_c6))
% 0.56/1.00 | ((inverse @ X2) != (sk_c6))
% 0.56/1.00 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.56/1.00 | ((inverse @ X3) != (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/1.00 thf(zip_derived_cl39, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((multiply @ (multiply @ sk_c6 @ sk_c7) @ sk_c6) != (sk_c7))
% 0.56/1.00 | ((multiply @ (multiply @ sk_c6 @ sk_c7) @ sk_c7) != (sk_c6))
% 0.56/1.00 | ((inverse @ X0) != (sk_c6))
% 0.56/1.00 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.56/1.00 | ((inverse @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.56/1.00 | ((inverse @ X1) != (sk_c7))
% 0.56/1.00 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 0.56/1.00 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.56/1.00 | ((inverse @ X2) != (sk_c6))
% 0.56/1.00 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.56/1.00 | ((inverse @ X3) != (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 0.56/1.00 inference('local_rewriting', [status(thm)], [zip_derived_cl38])).
% 0.56/1.00 thf(associativity, axiom,
% 0.56/1.00 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.56/1.00 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl57, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((multiply @ sk_c6 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c6 @ (multiply @ sk_c7 @ sk_c7)) != (sk_c6))
% 0.56/1.00 | ((inverse @ X0) != (sk_c6))
% 0.56/1.00 | ((multiply @ X0 @ sk_c6) != (multiply @ sk_c6 @ sk_c7))
% 0.56/1.00 | ((inverse @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.56/1.00 | ((inverse @ X1) != (sk_c7))
% 0.56/1.00 | ((multiply @ X1 @ sk_c7) != (sk_c6))
% 0.56/1.00 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c7)) != (sk_c6))
% 0.56/1.00 | ((inverse @ X2) != (sk_c6))
% 0.56/1.00 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 0.56/1.00 | ((inverse @ X3) != (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl39, zip_derived_cl2, zip_derived_cl2])).
% 0.56/1.00 thf(prove_this_23, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.56/1.00 thf(zf_stmt_1, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.56/1.00 thf(zip_derived_cl25, plain,
% 0.56/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/1.00 thf(prove_this_30, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.56/1.00 thf(zf_stmt_2, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.56/1.00 thf(zip_derived_cl32, plain,
% 0.56/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/1.00 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl61, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((multiply @ identity @ X0)
% 0.56/1.00 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.56/1.00 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl146, plain,
% 0.56/1.00 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 0.56/1.00 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl1561, plain,
% 0.56/1.00 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/1.00 | ((inverse @ sk_c3) = (sk_c7))
% 0.56/1.00 | ((inverse @ sk_c3) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl146])).
% 0.56/1.00 thf(zip_derived_cl1574, plain,
% 0.56/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1561])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl117, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl114, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl728, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 0.56/1.00 thf(zip_derived_cl117, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl774, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl117])).
% 0.56/1.00 thf(zip_derived_cl1585, plain,
% 0.56/1.00 ((((sk_c3) = (inverse @ sk_c7)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1574, zip_derived_cl774])).
% 0.56/1.00 thf(prove_this_22, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.56/1.00 thf(zf_stmt_3, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.56/1.00 thf(zip_derived_cl24, plain,
% 0.56/1.00 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/1.00 thf(prove_this_29, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.56/1.00 thf(zf_stmt_4, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.56/1.00 thf(zip_derived_cl31, plain,
% 0.56/1.00 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl145, plain,
% 0.56/1.00 ((((sk_c5) = (multiply @ (inverse @ sk_c2) @ sk_c6))
% 0.56/1.00 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl3411, plain,
% 0.56/1.00 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/1.00 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c3 @ sk_c7) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl145])).
% 0.56/1.00 thf(zip_derived_cl3425, plain,
% 0.56/1.00 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3411])).
% 0.56/1.00 thf(zip_derived_cl3512, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/1.00 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1585, zip_derived_cl3425])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl3517, plain,
% 0.56/1.00 ((((identity) = (sk_c6))
% 0.56/1.00 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.56/1.00 | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl3512, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl3518, plain,
% 0.56/1.00 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6)) | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3517])).
% 0.56/1.00 thf(prove_this_2, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.56/1.00 thf(zf_stmt_5, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 0.56/1.00 thf(zip_derived_cl4, plain,
% 0.56/1.00 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl41, plain,
% 0.56/1.00 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl126, plain,
% 0.56/1.00 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl96])).
% 0.56/1.00 thf(prove_this_1, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.56/1.00 thf(zf_stmt_6, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c3 @ sk_c7 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.56/1.00 thf(zip_derived_cl3, plain,
% 0.56/1.00 ((((multiply @ sk_c3 @ sk_c7) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/1.00 thf(zip_derived_cl393, plain,
% 0.56/1.00 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.56/1.00 = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl3])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl396, plain,
% 0.56/1.00 ((((identity) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl393, zip_derived_cl2, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl397, plain,
% 0.56/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl396])).
% 0.56/1.00 thf(zip_derived_cl3539, plain,
% 0.56/1.00 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 0.56/1.00 | ((identity) = (sk_c6))
% 0.56/1.00 | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl3518, zip_derived_cl397])).
% 0.56/1.00 thf(zip_derived_cl3562, plain,
% 0.56/1.00 ((((identity) = (sk_c6))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3539])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl3568, plain,
% 0.56/1.00 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c6)))
% 0.56/1.00 | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl3562, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl3575, plain,
% 0.56/1.00 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl3568, zip_derived_cl96])).
% 0.56/1.00 thf(prove_this_12, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_7, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.56/1.00 thf(zip_derived_cl14, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/1.00 thf(prove_this_19, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_8, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.56/1.00 thf(zip_derived_cl21, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl142, plain,
% 0.56/1.00 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl1538, plain,
% 0.56/1.00 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c6))
% 0.56/1.00 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl142])).
% 0.56/1.00 thf(zip_derived_cl1548, plain,
% 0.56/1.00 ((((inverse @ sk_c4) = (sk_c6)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1538])).
% 0.56/1.00 thf(zip_derived_cl774, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl117])).
% 0.56/1.00 thf(zip_derived_cl1608, plain,
% 0.56/1.00 ((((sk_c4) = (inverse @ sk_c6)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1548, zip_derived_cl774])).
% 0.56/1.00 thf(prove_this_11, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_9, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.56/1.00 thf(zip_derived_cl13, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/1.00 thf(prove_this_18, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_10, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c5 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.56/1.00 thf(zip_derived_cl20, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 0.56/1.00 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl141, plain,
% 0.56/1.00 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl3387, plain,
% 0.56/1.00 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 0.56/1.00 | ((multiply @ sk_c4 @ sk_c6) = (sk_c5)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl141])).
% 0.56/1.00 thf(zip_derived_cl3398, plain,
% 0.56/1.00 ((((multiply @ sk_c4 @ sk_c6) = (sk_c5))
% 0.56/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3387])).
% 0.56/1.00 thf(zip_derived_cl3667, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c5))
% 0.56/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1608, zip_derived_cl3398])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl3672, plain,
% 0.56/1.00 ((((identity) = (sk_c5))
% 0.56/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl3667, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl3673, plain,
% 0.56/1.00 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((identity) = (sk_c5)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3672])).
% 0.56/1.00 thf(prove_this_10, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_11, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.56/1.00 thf(zip_derived_cl12, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/1.00 thf(prove_this_17, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 0.56/1.00 thf(zf_stmt_12, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.56/1.00 thf(zip_derived_cl19, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl140, plain,
% 0.56/1.00 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl479, plain,
% 0.56/1.00 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c6))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl140])).
% 0.56/1.00 thf(zip_derived_cl487, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c6)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl479])).
% 0.56/1.00 thf(zip_derived_cl3697, plain,
% 0.56/1.00 ((((inverse @ identity) = (sk_c6))
% 0.56/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl3673, zip_derived_cl487])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl116, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl171, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl116, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl3728, plain,
% 0.56/1.00 ((((identity) = (sk_c6))
% 0.56/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 0.56/1.00 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl3697, zip_derived_cl448])).
% 0.56/1.00 thf(zip_derived_cl3729, plain,
% 0.56/1.00 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3728])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl3742, plain,
% 0.56/1.00 ((((sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 0.56/1.00 | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl3729, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl3759, plain,
% 0.56/1.00 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6))
% 0.56/1.00 | ((identity) = (sk_c6))
% 0.56/1.00 | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl3575, zip_derived_cl3742])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl3760, plain,
% 0.56/1.00 ((((sk_c7) = (identity))
% 0.56/1.00 | ((identity) = (sk_c6))
% 0.56/1.00 | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl3759, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl3761, plain,
% 0.56/1.00 ((((identity) = (sk_c6)) | ((sk_c7) = (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3760])).
% 0.56/1.00 thf(zip_derived_cl3575, plain,
% 0.56/1.00 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl3568, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl3797, plain,
% 0.56/1.00 ((((identity) = (sk_c6))
% 0.56/1.00 | ((identity) = (sk_c6))
% 0.56/1.00 | ((identity) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl3761, zip_derived_cl3575])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl728, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl728, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl728, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl3864, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((sk_c7) != (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (sk_c7))
% 0.56/1.00 | ((inverse @ sk_c7) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (sk_c7))
% 0.56/1.00 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.56/1.00 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X3) != (sk_c7))
% 0.56/1.00 | ((inverse @ X3) != (sk_c7))
% 0.56/1.00 | ((sk_c7) != (sk_c5)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl57, zip_derived_cl3808, zip_derived_cl3808,
% 0.56/1.00 zip_derived_cl728, zip_derived_cl0, zip_derived_cl3808,
% 0.56/1.00 zip_derived_cl0, zip_derived_cl3808, zip_derived_cl3808,
% 0.56/1.00 zip_derived_cl3808, zip_derived_cl728, zip_derived_cl3808,
% 0.56/1.00 zip_derived_cl0, zip_derived_cl3808, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl3808, zip_derived_cl3808, zip_derived_cl3808,
% 0.56/1.00 zip_derived_cl0, zip_derived_cl3808, zip_derived_cl3808,
% 0.56/1.00 zip_derived_cl3808, zip_derived_cl728, zip_derived_cl3808,
% 0.56/1.00 zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl3865, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((sk_c7) != (sk_c5))
% 0.56/1.00 | ((inverse @ X3) != (sk_c7))
% 0.56/1.00 | ((X3) != (sk_c7))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/1.00 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (sk_c7))
% 0.56/1.00 | ((inverse @ sk_c7) != (identity))
% 0.56/1.00 | ((X0) != (sk_c7))
% 0.56/1.00 | ((inverse @ X0) != (identity))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c7) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3864])).
% 0.56/1.00 thf(prove_this_7, conjecture,
% 0.56/1.00 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.56/1.00 thf(zf_stmt_13, negated_conjecture,
% 0.56/1.00 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.56/1.00 thf(zip_derived_cl9, plain,
% 0.56/1.00 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl728, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl3819, plain, ((((sk_c5) = (sk_c7)) | ((sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl9, zip_derived_cl3808, zip_derived_cl728,
% 0.56/1.00 zip_derived_cl3808, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl3820, plain, (((sk_c5) = (sk_c7))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3819])).
% 0.56/1.00 thf(zip_derived_cl3992, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((sk_c7) != (sk_c7))
% 0.56/1.00 | ((inverse @ X3) != (sk_c7))
% 0.56/1.00 | ((X3) != (sk_c7))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/1.00 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (sk_c7))
% 0.56/1.00 | ((inverse @ sk_c7) != (identity))
% 0.56/1.00 | ((X0) != (sk_c7))
% 0.56/1.00 | ((inverse @ X0) != (identity))
% 0.56/1.00 | ((multiply @ sk_c7 @ sk_c7) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl3865, zip_derived_cl3820])).
% 0.56/1.00 thf(zip_derived_cl3993, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (sk_c7))
% 0.56/1.00 | ((inverse @ sk_c7) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (sk_c7))
% 0.56/1.00 | ((multiply @ X1 @ sk_c7) != (identity))
% 0.56/1.00 | ((multiply @ X2 @ sk_c7) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X3) != (sk_c7))
% 0.56/1.00 | ((inverse @ X3) != (sk_c7)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3992])).
% 0.56/1.00 thf(prove_this_3, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.56/1.00 thf(zf_stmt_14, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 0.56/1.00 thf(zip_derived_cl5, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl40, plain,
% 0.56/1.00 ((((multiply @ sk_c6 @ sk_c5) = (identity))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl119, plain,
% 0.56/1.00 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl728, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 0.56/1.00 thf(zip_derived_cl752, plain,
% 0.56/1.00 ((((sk_c5) = (inverse @ sk_c6)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl119, zip_derived_cl728])).
% 0.56/1.00 thf(prove_this_24, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.56/1.00 thf(zf_stmt_15, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.56/1.00 thf(zip_derived_cl26, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl47, plain,
% 0.56/1.00 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl122, plain,
% 0.56/1.00 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl96])).
% 0.56/1.00 thf(prove_this_31, conjecture,
% 0.56/1.00 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 0.56/1.00 thf(zf_stmt_16, negated_conjecture,
% 0.56/1.00 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 0.56/1.00 ( ( multiply @ sk_c2 @ sk_c5 ) = ( sk_c6 ) )),
% 0.56/1.00 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.56/1.00 thf(zip_derived_cl33, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.56/1.00 thf(zip_derived_cl274, plain,
% 0.56/1.00 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c5)
% 0.56/1.00 = (sk_c6))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c6))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl33])).
% 0.56/1.00 thf(zip_derived_cl2, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.56/1.00 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.56/1.00 inference('cnf', [status(esa)], [associativity])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl289, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c6))
% 0.56/1.00 | ((inverse @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl274, zip_derived_cl2, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl290, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c6))
% 0.56/1.00 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl289])).
% 0.56/1.00 thf(zip_derived_cl774, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl117])).
% 0.56/1.00 thf(zip_derived_cl1670, plain,
% 0.56/1.00 ((((sk_c5) = (inverse @ sk_c6))
% 0.56/1.00 | ((multiply @ (inverse @ sk_c6) @ sk_c5) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl290, zip_derived_cl774])).
% 0.56/1.00 thf(zip_derived_cl2652, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)) = (sk_c6))
% 0.56/1.00 | ((sk_c5) = (inverse @ sk_c6))
% 0.56/1.00 | ((sk_c5) = (inverse @ sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl752, zip_derived_cl1670])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl2660, plain,
% 0.56/1.00 ((((sk_c7) = (sk_c6))
% 0.56/1.00 | ((sk_c5) = (inverse @ sk_c6))
% 0.56/1.00 | ((sk_c5) = (inverse @ sk_c6)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl2652, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl2661, plain,
% 0.56/1.00 ((((sk_c5) = (inverse @ sk_c6)) | ((sk_c7) = (sk_c6)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl2660])).
% 0.56/1.00 thf(zip_derived_cl5, plain,
% 0.56/1.00 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.56/1.00 thf(zip_derived_cl774, plain,
% 0.56/1.00 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl117])).
% 0.56/1.00 thf(zip_derived_cl1, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_inverse])).
% 0.56/1.00 thf(zip_derived_cl779, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl774, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl1082, plain,
% 0.56/1.00 ((((multiply @ sk_c5 @ sk_c6) = (identity))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl779])).
% 0.56/1.00 thf(zip_derived_cl9, plain,
% 0.56/1.00 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/1.00 thf(zip_derived_cl1954, plain,
% 0.56/1.00 ((((identity) = (sk_c7))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.56/1.00 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl1082, zip_derived_cl9])).
% 0.56/1.00 thf(zip_derived_cl1968, plain,
% 0.56/1.00 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl1954])).
% 0.56/1.00 thf(zip_derived_cl2691, plain,
% 0.56/1.00 ((((multiply @ sk_c6 @ sk_c7) = (inverse @ sk_c6))
% 0.56/1.00 | ((sk_c7) = (sk_c6))
% 0.56/1.00 | ((identity) = (sk_c7)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl2661, zip_derived_cl1968])).
% 0.56/1.00 thf(zip_derived_cl96, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl0])).
% 0.56/1.00 thf(zip_derived_cl2817, plain,
% 0.56/1.00 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ (inverse @ sk_c6)))
% 0.56/1.00 | ((identity) = (sk_c7))
% 0.56/1.00 | ((sk_c7) = (sk_c6)))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl2691, zip_derived_cl96])).
% 0.56/1.00 thf(zip_derived_cl2996, plain,
% 0.56/1.00 ((((multiply @ (inverse @ sk_c6) @ (inverse @ sk_c6)) != (identity))
% 0.56/1.00 | ((sk_c7) = (sk_c6))
% 0.56/1.00 | ((identity) = (sk_c7)))),
% 0.56/1.00 inference('eq_fact', [status(thm)], [zip_derived_cl2817])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl3808, plain, (((identity) = (sk_c6))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3797])).
% 0.56/1.00 thf(zip_derived_cl3974, plain,
% 0.56/1.00 ((((identity) != (identity))
% 0.56/1.00 | ((sk_c7) = (identity))
% 0.56/1.00 | ((identity) = (sk_c7)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl2996, zip_derived_cl3808, zip_derived_cl448,
% 0.56/1.00 zip_derived_cl3808, zip_derived_cl448, zip_derived_cl0,
% 0.56/1.00 zip_derived_cl3808])).
% 0.56/1.00 thf(zip_derived_cl3975, plain, (((sk_c7) = (identity))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3974])).
% 0.56/1.00 thf(zip_derived_cl3975, plain, (((sk_c7) = (identity))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3974])).
% 0.56/1.00 thf(zip_derived_cl0, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.56/1.00 inference('cnf', [status(esa)], [left_identity])).
% 0.56/1.00 thf(zip_derived_cl3975, plain, (((sk_c7) = (identity))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3974])).
% 0.56/1.00 thf(zip_derived_cl3975, plain, (((sk_c7) = (identity))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3974])).
% 0.56/1.00 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl3975, plain, (((sk_c7) = (identity))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3974])).
% 0.56/1.00 thf(zip_derived_cl3975, plain, (((sk_c7) = (identity))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3974])).
% 0.56/1.00 thf(zip_derived_cl728, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 0.56/1.00 thf(zip_derived_cl3975, plain, (((sk_c7) = (identity))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3974])).
% 0.56/1.00 thf(zip_derived_cl728, plain,
% 0.56/1.00 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl114])).
% 0.56/1.00 thf(zip_derived_cl3975, plain, (((sk_c7) = (identity))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3974])).
% 0.56/1.00 thf(zip_derived_cl3975, plain, (((sk_c7) = (identity))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl3974])).
% 0.56/1.00 thf(zip_derived_cl4002, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((identity) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((identity) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X3) != (identity))
% 0.56/1.00 | ((inverse @ X3) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)],
% 0.56/1.00 [zip_derived_cl3993, zip_derived_cl3975, zip_derived_cl3975,
% 0.56/1.00 zip_derived_cl0, zip_derived_cl3975, zip_derived_cl3975,
% 0.56/1.00 zip_derived_cl448, zip_derived_cl3975, zip_derived_cl3975,
% 0.56/1.00 zip_derived_cl728, zip_derived_cl3975, zip_derived_cl728,
% 0.56/1.00 zip_derived_cl3975, zip_derived_cl3975])).
% 0.56/1.00 thf(zip_derived_cl4003, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/1.00 (((inverse @ X3) != (identity))
% 0.56/1.00 | ((X3) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl4002])).
% 0.56/1.00 thf(zip_derived_cl4031, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((inverse @ identity) != (identity)))),
% 0.56/1.00 inference('eq_res', [status(thm)], [zip_derived_cl4003])).
% 0.56/1.00 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl4032, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((inverse @ X2) != (identity))
% 0.56/1.00 | ((identity) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl4031, zip_derived_cl448])).
% 0.56/1.00 thf(zip_derived_cl4033, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.00 (((inverse @ X2) != (identity))
% 0.56/1.00 | ((X2) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl4032])).
% 0.56/1.00 thf(zip_derived_cl4034, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((inverse @ identity) != (identity)))),
% 0.56/1.00 inference('eq_res', [status(thm)], [zip_derived_cl4033])).
% 0.56/1.00 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl4035, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X1) != (identity))
% 0.56/1.00 | ((identity) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl4034, zip_derived_cl448])).
% 0.56/1.00 thf(zip_derived_cl4036, plain,
% 0.56/1.00 (![X0 : $i, X1 : $i]:
% 0.56/1.00 (((X1) != (identity))
% 0.56/1.00 | ((inverse @ X1) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ X0) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl4035])).
% 0.56/1.00 thf(zip_derived_cl4037, plain,
% 0.56/1.00 (![X0 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((inverse @ identity) != (identity)))),
% 0.56/1.00 inference('eq_res', [status(thm)], [zip_derived_cl4036])).
% 0.56/1.00 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl4038, plain,
% 0.56/1.00 (![X0 : $i]:
% 0.56/1.00 (((inverse @ X0) != (identity))
% 0.56/1.00 | ((X0) != (identity))
% 0.56/1.00 | ((identity) != (identity)))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl4037, zip_derived_cl448])).
% 0.56/1.00 thf(zip_derived_cl4039, plain,
% 0.56/1.00 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl4038])).
% 0.56/1.00 thf(zip_derived_cl4040, plain, (((inverse @ identity) != (identity))),
% 0.56/1.00 inference('eq_res', [status(thm)], [zip_derived_cl4039])).
% 0.56/1.00 thf(zip_derived_cl448, plain, (((inverse @ identity) = (identity))),
% 0.56/1.00 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 0.56/1.00 thf(zip_derived_cl4041, plain, (((identity) != (identity))),
% 0.56/1.00 inference('demod', [status(thm)], [zip_derived_cl4040, zip_derived_cl448])).
% 0.56/1.00 thf(zip_derived_cl4042, plain, ($false),
% 0.56/1.00 inference('simplify', [status(thm)], [zip_derived_cl4041])).
% 0.56/1.00
% 0.56/1.00 % SZS output end Refutation
% 0.56/1.00
% 0.56/1.00
% 0.56/1.00 % Terminating...
% 0.59/1.06 % Runner terminated.
% 0.59/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------