TSTP Solution File: GRP255-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP255-1 : 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.VIdiaOPcvz true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:55 EDT 2023
% Result : Unsatisfiable 19.13s 3.36s
% Output : Refutation 19.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP255-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VIdiaOPcvz true
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 20:58:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 19.13/3.36 % Solved by fo/fo7.sh.
% 19.13/3.36 % done 6628 iterations in 2.549s
% 19.13/3.36 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.13/3.36 % SZS output start Refutation
% 19.13/3.36 thf(sk_c2_type, type, sk_c2: $i).
% 19.13/3.36 thf(sk_c7_type, type, sk_c7: $i).
% 19.13/3.36 thf(sk_c5_type, type, sk_c5: $i).
% 19.13/3.36 thf(sk_c4_type, type, sk_c4: $i).
% 19.13/3.36 thf(identity_type, type, identity: $i).
% 19.13/3.36 thf(multiply_type, type, multiply: $i > $i > $i).
% 19.13/3.36 thf(sk_c8_type, type, sk_c8: $i).
% 19.13/3.36 thf(inverse_type, type, inverse: $i > $i).
% 19.13/3.36 thf(sk_c6_type, type, sk_c6: $i).
% 19.13/3.36 thf(sk_c3_type, type, sk_c3: $i).
% 19.13/3.36 thf(sk_c1_type, type, sk_c1: $i).
% 19.13/3.36 thf(prove_this_31, conjecture,
% 19.13/3.36 (~( ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 19.13/3.36 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 19.13/3.36 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 19.13/3.36 ( ( multiply @ X5 @ sk_c8 ) != ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ X5 ) != ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_0, negated_conjecture,
% 19.13/3.36 (( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 19.13/3.36 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 19.13/3.36 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c7 @ sk_c8 ) != ( sk_c6 ) ) |
% 19.13/3.36 ( ( multiply @ X5 @ sk_c8 ) != ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ X5 ) != ( sk_c6 ) ) | ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 19.13/3.36 thf(zip_derived_cl33, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((multiply @ X0 @ sk_c6) != (sk_c7))
% 19.13/3.36 | ((inverse @ X0) != (sk_c7))
% 19.13/3.36 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 19.13/3.36 | ((inverse @ X1) != (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 19.13/3.36 | ((multiply @ X2 @ sk_c8) != (sk_c6))
% 19.13/3.36 | ((inverse @ X2) != (sk_c6))
% 19.13/3.36 | ((inverse @ X3) != (sk_c7))
% 19.13/3.36 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 19.13/3.36 | ((inverse @ X4) != (sk_c8))
% 19.13/3.36 | ((multiply @ X4 @ sk_c8) != (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 19.13/3.36 thf(zip_derived_cl34, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c8)) != (sk_c7))
% 19.13/3.36 | ((inverse @ X0) != (sk_c7))
% 19.13/3.36 | ((multiply @ X1 @ sk_c7) != (sk_c8))
% 19.13/3.36 | ((inverse @ X1) != (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) != (sk_c6))
% 19.13/3.36 | ((multiply @ X2 @ sk_c8) != (multiply @ sk_c7 @ sk_c8))
% 19.13/3.36 | ((inverse @ X2) != (multiply @ sk_c7 @ sk_c8))
% 19.13/3.36 | ((inverse @ X3) != (sk_c7))
% 19.13/3.36 | ((multiply @ X3 @ sk_c7) != (multiply @ sk_c7 @ sk_c8))
% 19.13/3.36 | ((inverse @ X4) != (sk_c8))
% 19.13/3.36 | ((multiply @ X4 @ sk_c8) != (sk_c7)))),
% 19.13/3.36 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 19.13/3.36 thf(prove_this_7, conjecture,
% 19.13/3.36 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 19.13/3.36 thf(zf_stmt_1, negated_conjecture,
% 19.13/3.36 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 19.13/3.36 thf(zip_derived_cl9, plain,
% 19.13/3.36 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_1])).
% 19.13/3.36 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl37, plain,
% 19.13/3.36 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(associativity, axiom,
% 19.13/3.36 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 19.13/3.36 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 19.13/3.36 thf(zip_derived_cl2, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 19.13/3.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 19.13/3.36 inference('cnf', [status(esa)], [associativity])).
% 19.13/3.36 thf(zip_derived_cl72, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((multiply @ identity @ X0)
% 19.13/3.36 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 19.13/3.36 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl128, plain,
% 19.13/3.36 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl126, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl123, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl652, plain,
% 19.13/3.36 ((((sk_c4) = (inverse @ sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl632])).
% 19.13/3.36 thf(prove_this_9, conjecture,
% 19.13/3.36 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 19.13/3.36 thf(zf_stmt_2, negated_conjecture,
% 19.13/3.36 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 19.13/3.36 thf(zip_derived_cl11, plain,
% 19.13/3.36 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_2])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl38, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl130, plain,
% 19.13/3.36 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl654, plain,
% 19.13/3.36 ((((sk_c5) = (inverse @ sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl632])).
% 19.13/3.36 thf(prove_this_6, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 19.13/3.36 thf(zf_stmt_3, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 19.13/3.36 thf(zip_derived_cl8, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_3])).
% 19.13/3.36 thf(prove_this_10, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 19.13/3.36 thf(zf_stmt_4, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 19.13/3.36 thf(zip_derived_cl12, plain,
% 19.13/3.36 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_4])).
% 19.13/3.36 thf(zip_derived_cl50, plain,
% 19.13/3.36 ((((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl12])).
% 19.13/3.36 thf(zip_derived_cl51, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50])).
% 19.13/3.36 thf(zip_derived_cl728, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c7) @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl654, zip_derived_cl51])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl736, plain,
% 19.13/3.36 ((((sk_c8) = (sk_c7))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl728, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl737, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl736])).
% 19.13/3.36 thf(prove_this_8, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 19.13/3.36 thf(zf_stmt_5, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 19.13/3.36 thf(zip_derived_cl10, plain,
% 19.13/3.36 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_5])).
% 19.13/3.36 thf(zip_derived_cl742, plain,
% 19.13/3.36 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl10])).
% 19.13/3.36 thf(zip_derived_cl762, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl742])).
% 19.13/3.36 thf(zip_derived_cl1357, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl652, zip_derived_cl762])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl1360, plain,
% 19.13/3.36 ((((identity) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl1357, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl1361, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (sk_c8)) | ((identity) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl1360])).
% 19.13/3.36 thf(zip_derived_cl1361, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (sk_c8)) | ((identity) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl1360])).
% 19.13/3.36 thf(prove_this_4, conjecture,
% 19.13/3.36 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_6, negated_conjecture,
% 19.13/3.36 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 19.13/3.36 thf(zip_derived_cl6, plain,
% 19.13/3.36 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_6])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl42, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl131, plain,
% 19.13/3.36 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl655, plain,
% 19.13/3.36 ((((sk_c5) = (inverse @ sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl632])).
% 19.13/3.36 thf(prove_this_1, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_7, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 19.13/3.36 thf(zip_derived_cl3, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_7])).
% 19.13/3.36 thf(prove_this_5, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_8, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 19.13/3.36 thf(zip_derived_cl7, plain,
% 19.13/3.36 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_8])).
% 19.13/3.36 thf(zip_derived_cl56, plain,
% 19.13/3.36 ((((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 19.13/3.36 thf(zip_derived_cl58, plain,
% 19.13/3.36 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c5 @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl56])).
% 19.13/3.36 thf(zip_derived_cl801, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c7) @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl655, zip_derived_cl58])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl809, plain,
% 19.13/3.36 ((((sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl801, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl810, plain,
% 19.13/3.36 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl809])).
% 19.13/3.36 thf(prove_this_16, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_9, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 19.13/3.36 thf(zip_derived_cl18, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_9])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl43, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl132, plain,
% 19.13/3.36 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl104])).
% 19.13/3.36 thf(prove_this_11, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 19.13/3.36 thf(zf_stmt_10, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 19.13/3.36 thf(zip_derived_cl13, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_10])).
% 19.13/3.36 thf(zip_derived_cl218, plain,
% 19.13/3.36 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 19.13/3.36 = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl13])).
% 19.13/3.36 thf(zip_derived_cl2, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 19.13/3.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 19.13/3.36 inference('cnf', [status(esa)], [associativity])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl233, plain,
% 19.13/3.36 ((((identity) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl218, zip_derived_cl2, zip_derived_cl0,
% 19.13/3.36 zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl234, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl233])).
% 19.13/3.36 thf(prove_this_19, conjecture,
% 19.13/3.36 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_11, negated_conjecture,
% 19.13/3.36 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 19.13/3.36 thf(zip_derived_cl21, plain,
% 19.13/3.36 ((((inverse @ sk_c5) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_11])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl45, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 19.13/3.36 | ((inverse @ sk_c5) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl134, plain,
% 19.13/3.36 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 19.13/3.36 | ((inverse @ sk_c5) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl104])).
% 19.13/3.36 thf(prove_this_14, conjecture,
% 19.13/3.36 (~( ( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 19.13/3.36 thf(zf_stmt_12, negated_conjecture,
% 19.13/3.36 (( ( inverse @ sk_c5 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 19.13/3.36 thf(zip_derived_cl16, plain,
% 19.13/3.36 ((((inverse @ sk_c5) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_12])).
% 19.13/3.36 thf(zip_derived_cl363, plain,
% 19.13/3.36 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 19.13/3.36 = (sk_c6))
% 19.13/3.36 | ((inverse @ sk_c5) = (sk_c7))
% 19.13/3.36 | ((inverse @ sk_c5) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl134, zip_derived_cl16])).
% 19.13/3.36 thf(zip_derived_cl2, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 19.13/3.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 19.13/3.36 inference('cnf', [status(esa)], [associativity])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl378, plain,
% 19.13/3.36 ((((identity) = (sk_c6))
% 19.13/3.36 | ((inverse @ sk_c5) = (sk_c7))
% 19.13/3.36 | ((inverse @ sk_c5) = (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl363, zip_derived_cl2, zip_derived_cl0,
% 19.13/3.36 zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl379, plain,
% 19.13/3.36 ((((inverse @ sk_c5) = (sk_c7)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl378])).
% 19.13/3.36 thf(zip_derived_cl126, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl384, plain,
% 19.13/3.36 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ identity))
% 19.13/3.36 | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl379, zip_derived_cl126])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl666, plain,
% 19.13/3.36 ((((sk_c5) = (inverse @ sk_c7)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl384, zip_derived_cl632])).
% 19.13/3.36 thf(prove_this_20, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_13, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 19.13/3.36 thf(zip_derived_cl22, plain,
% 19.13/3.36 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_13])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl126, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl673, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl126])).
% 19.13/3.36 thf(zip_derived_cl928, plain,
% 19.13/3.36 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl673])).
% 19.13/3.36 thf(prove_this_15, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 19.13/3.36 thf(zf_stmt_14, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 19.13/3.36 thf(zip_derived_cl17, plain,
% 19.13/3.36 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_14])).
% 19.13/3.36 thf(zip_derived_cl1161, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl17])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl1177, plain,
% 19.13/3.36 ((((identity) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl1161, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl1178, plain,
% 19.13/3.36 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl1177])).
% 19.13/3.36 thf(zip_derived_cl1235, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7))
% 19.13/3.36 | ((identity) = (sk_c6))
% 19.13/3.36 | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl666, zip_derived_cl1178])).
% 19.13/3.36 thf(zip_derived_cl1237, plain,
% 19.13/3.36 ((((identity) = (sk_c6))
% 19.13/3.36 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl1235])).
% 19.13/3.36 thf(zip_derived_cl1706, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c7) @ (multiply @ sk_c7 @ sk_c8)) = (sk_c7))
% 19.13/3.36 | ((identity) = (sk_c6))
% 19.13/3.36 | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl1237])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl1719, plain,
% 19.13/3.36 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c6)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl1706, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl1720, plain,
% 19.13/3.36 ((((identity) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl1719])).
% 19.13/3.36 thf(prove_this_21, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) ))).
% 19.13/3.36 thf(zf_stmt_15, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c3 ) = ( sk_c6 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 19.13/3.36 thf(zip_derived_cl23, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c3) = (sk_c6)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_15])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl46, plain,
% 19.13/3.36 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl137, plain,
% 19.13/3.36 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl46, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl660, plain,
% 19.13/3.36 ((((sk_c3) = (inverse @ sk_c6)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl137, zip_derived_cl632])).
% 19.13/3.36 thf(prove_this_26, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c6 ) ) ))).
% 19.13/3.36 thf(zf_stmt_16, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c6 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c3 @ sk_c8 ) = ( sk_c6 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 19.13/3.36 thf(zip_derived_cl28, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c3 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_16])).
% 19.13/3.36 thf(zip_derived_cl899, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c6) @ sk_c8) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl660, zip_derived_cl28])).
% 19.13/3.36 thf(zip_derived_cl910, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6))
% 19.13/3.36 | ((multiply @ (inverse @ sk_c6) @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl899])).
% 19.13/3.36 thf(zip_derived_cl49073, plain,
% 19.13/3.36 ((((multiply @ (inverse @ identity) @ sk_c8) = (sk_c6))
% 19.13/3.36 | ((sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl1720, zip_derived_cl910])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl125, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl183, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl49174, plain,
% 19.13/3.36 ((((sk_c8) = (sk_c6))
% 19.13/3.36 | ((sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c7 @ sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl49073, zip_derived_cl619, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl49429, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) != (sk_c8))
% 19.13/3.36 | ((sk_c8) = (sk_c7))
% 19.13/3.36 | ((sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('eq_fact', [status(thm)], [zip_derived_cl49174])).
% 19.13/3.36 thf(zip_derived_cl49484, plain,
% 19.13/3.36 ((((multiply @ (multiply @ sk_c1 @ sk_c8) @ sk_c8) != (sk_c8))
% 19.13/3.36 | ((sk_c8) = (sk_c7))
% 19.13/3.36 | ((sk_c8) = (sk_c6))
% 19.13/3.36 | ((sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup-', [status(thm)], [zip_derived_cl810, zip_derived_cl49429])).
% 19.13/3.36 thf(zip_derived_cl2, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 19.13/3.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 19.13/3.36 inference('cnf', [status(esa)], [associativity])).
% 19.13/3.36 thf(zip_derived_cl49504, plain,
% 19.13/3.36 ((((multiply @ sk_c1 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c8))
% 19.13/3.36 | ((sk_c8) = (sk_c7))
% 19.13/3.36 | ((sk_c8) = (sk_c6))
% 19.13/3.36 | ((sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl49484, zip_derived_cl2])).
% 19.13/3.36 thf(zip_derived_cl49505, plain,
% 19.13/3.36 ((((sk_c8) = (sk_c6))
% 19.13/3.36 | ((sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c1 @ (multiply @ sk_c8 @ sk_c8)) != (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl49504])).
% 19.13/3.36 thf(zip_derived_cl49532, plain,
% 19.13/3.36 ((((multiply @ sk_c1 @ (multiply @ (inverse @ sk_c1) @ sk_c8)) != (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c8))
% 19.13/3.36 | ((sk_c8) = (sk_c7))
% 19.13/3.36 | ((sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('sup-', [status(thm)],
% 19.13/3.36 [zip_derived_cl1361, zip_derived_cl49505])).
% 19.13/3.36 thf(zip_derived_cl673, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl126])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl915, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl673, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl49535, plain,
% 19.13/3.36 ((((sk_c8) != (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c8))
% 19.13/3.36 | ((sk_c8) = (sk_c7))
% 19.13/3.36 | ((sk_c8) = (sk_c6)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl49532, zip_derived_cl915])).
% 19.13/3.36 thf(zip_derived_cl49536, plain,
% 19.13/3.36 ((((sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl49535])).
% 19.13/3.36 thf(zip_derived_cl1720, plain,
% 19.13/3.36 ((((identity) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl1719])).
% 19.13/3.36 thf(zip_derived_cl49576, plain,
% 19.13/3.36 ((((identity) = (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c8))
% 19.13/3.36 | ((sk_c8) = (sk_c7))
% 19.13/3.36 | ((sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)],
% 19.13/3.36 [zip_derived_cl49536, zip_derived_cl1720])).
% 19.13/3.36 thf(zip_derived_cl49747, plain,
% 19.13/3.36 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl49576])).
% 19.13/3.36 thf(prove_this_2, conjecture,
% 19.13/3.36 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_17, negated_conjecture,
% 19.13/3.36 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 19.13/3.36 thf(zip_derived_cl4, plain,
% 19.13/3.36 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_17])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl41, plain,
% 19.13/3.36 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl129, plain,
% 19.13/3.36 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl653, plain,
% 19.13/3.36 ((((sk_c4) = (inverse @ sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl632])).
% 19.13/3.36 thf(prove_this_3, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_18, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 19.13/3.36 thf(zip_derived_cl5, plain,
% 19.13/3.36 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_18])).
% 19.13/3.36 thf(zip_derived_cl779, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl653, zip_derived_cl5])).
% 19.13/3.36 thf(zip_derived_cl790, plain,
% 19.13/3.36 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl779])).
% 19.13/3.36 thf(zip_derived_cl49867, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl49747, zip_derived_cl790])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl50054, plain,
% 19.13/3.36 ((((identity) = (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl49867, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl50055, plain,
% 19.13/3.36 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50054])).
% 19.13/3.36 thf(zip_derived_cl49747, plain,
% 19.13/3.36 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl49576])).
% 19.13/3.36 thf(zip_derived_cl50318, plain,
% 19.13/3.36 ((((sk_c8) = (multiply @ sk_c1 @ sk_c8))
% 19.13/3.36 | ((identity) = (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)],
% 19.13/3.36 [zip_derived_cl50055, zip_derived_cl49747])).
% 19.13/3.36 thf(zip_derived_cl50362, plain,
% 19.13/3.36 ((((identity) = (sk_c8)) | ((sk_c8) = (multiply @ sk_c1 @ sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50318])).
% 19.13/3.36 thf(zip_derived_cl50642, plain,
% 19.13/3.36 ((((sk_c8) = (multiply @ sk_c1 @ (inverse @ sk_c1)))
% 19.13/3.36 | ((identity) = (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)],
% 19.13/3.36 [zip_derived_cl1361, zip_derived_cl50362])).
% 19.13/3.36 thf(zip_derived_cl673, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl126])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl913, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl673, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl50643, plain,
% 19.13/3.36 ((((sk_c8) = (identity))
% 19.13/3.36 | ((identity) = (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c8)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl50642, zip_derived_cl913])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl50672, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((multiply @ X0 @ sk_c7) != (sk_c7))
% 19.13/3.36 | ((inverse @ X0) != (sk_c7))
% 19.13/3.36 | ((multiply @ X1 @ sk_c7) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((sk_c7) != (sk_c6))
% 19.13/3.36 | ((X2) != (sk_c7))
% 19.13/3.36 | ((inverse @ X2) != (sk_c7))
% 19.13/3.36 | ((inverse @ X3) != (sk_c7))
% 19.13/3.36 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 19.13/3.36 | ((inverse @ X4) != (identity))
% 19.13/3.36 | ((X4) != (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl34, zip_derived_cl50644, zip_derived_cl632,
% 19.13/3.36 zip_derived_cl50644, zip_derived_cl50644,
% 19.13/3.36 zip_derived_cl50644, zip_derived_cl632, zip_derived_cl50644,
% 19.13/3.36 zip_derived_cl632, zip_derived_cl50644, zip_derived_cl632,
% 19.13/3.36 zip_derived_cl50644, zip_derived_cl632, zip_derived_cl50644,
% 19.13/3.36 zip_derived_cl632, zip_derived_cl50644, zip_derived_cl50644,
% 19.13/3.36 zip_derived_cl632])).
% 19.13/3.36 thf(prove_this_17, conjecture,
% 19.13/3.36 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_19, negated_conjecture,
% 19.13/3.36 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 19.13/3.36 thf(zip_derived_cl19, plain,
% 19.13/3.36 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_19])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl44, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 19.13/3.36 | ((inverse @ sk_c4) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl133, plain,
% 19.13/3.36 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 19.13/3.36 | ((inverse @ sk_c4) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl104])).
% 19.13/3.36 thf(prove_this_12, conjecture,
% 19.13/3.36 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 19.13/3.36 thf(zf_stmt_20, negated_conjecture,
% 19.13/3.36 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 19.13/3.36 thf(zip_derived_cl14, plain,
% 19.13/3.36 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_20])).
% 19.13/3.36 thf(zip_derived_cl252, plain,
% 19.13/3.36 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 19.13/3.36 = (sk_c6))
% 19.13/3.36 | ((inverse @ sk_c4) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c4) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl14])).
% 19.13/3.36 thf(zip_derived_cl2, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 19.13/3.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 19.13/3.36 inference('cnf', [status(esa)], [associativity])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl267, plain,
% 19.13/3.36 ((((identity) = (sk_c6))
% 19.13/3.36 | ((inverse @ sk_c4) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c4) = (sk_c8)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl252, zip_derived_cl2, zip_derived_cl0,
% 19.13/3.36 zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl268, plain,
% 19.13/3.36 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl267])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl274, plain,
% 19.13/3.36 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl279, plain,
% 19.13/3.36 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 19.13/3.36 | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl104])).
% 19.13/3.36 thf(prove_this_18, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 19.13/3.36 thf(zf_stmt_21, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 19.13/3.36 thf(zip_derived_cl20, plain,
% 19.13/3.36 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c7)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_21])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl52, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 19.13/3.36 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl135, plain,
% 19.13/3.36 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 19.13/3.36 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl104])).
% 19.13/3.36 thf(prove_this_13, conjecture,
% 19.13/3.36 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 19.13/3.36 thf(zf_stmt_22, negated_conjecture,
% 19.13/3.36 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 19.13/3.36 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) )),
% 19.13/3.36 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 19.13/3.36 thf(zip_derived_cl15, plain,
% 19.13/3.36 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_22])).
% 19.13/3.36 thf(zip_derived_cl573, plain,
% 19.13/3.36 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 19.13/3.36 = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl15])).
% 19.13/3.36 thf(zip_derived_cl2, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 19.13/3.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 19.13/3.36 inference('cnf', [status(esa)], [associativity])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl1, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_inverse])).
% 19.13/3.36 thf(zip_derived_cl588, plain,
% 19.13/3.36 ((((identity) = (sk_c6))
% 19.13/3.36 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl573, zip_derived_cl2, zip_derived_cl0,
% 19.13/3.36 zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl589, plain,
% 19.13/3.36 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl588])).
% 19.13/3.36 thf(zip_derived_cl599, plain,
% 19.13/3.36 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c7)
% 19.13/3.36 = (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c6))
% 19.13/3.36 | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl279, zip_derived_cl589])).
% 19.13/3.36 thf(zip_derived_cl2, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 19.13/3.36 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 19.13/3.36 inference('cnf', [status(esa)], [associativity])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl602, plain,
% 19.13/3.36 ((((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8))
% 19.13/3.36 | ((identity) = (sk_c6))
% 19.13/3.36 | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl599, zip_derived_cl2, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl603, plain,
% 19.13/3.36 ((((identity) = (sk_c6))
% 19.13/3.36 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl602])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl50717, plain,
% 19.13/3.36 ((((identity) = (sk_c6)) | ((sk_c7) = (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl603, zip_derived_cl50644, zip_derived_cl619,
% 19.13/3.36 zip_derived_cl0, zip_derived_cl50644])).
% 19.13/3.36 thf(zip_derived_cl234, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl233])).
% 19.13/3.36 thf(zip_derived_cl249, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c8) != (identity)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('eq_fact', [status(thm)], [zip_derived_cl234])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl50702, plain,
% 19.13/3.36 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl249, zip_derived_cl50644, zip_derived_cl632])).
% 19.13/3.36 thf(zip_derived_cl51400, plain, (((identity) = (sk_c6))),
% 19.13/3.36 inference('clc', [status(thm)],
% 19.13/3.36 [zip_derived_cl50717, zip_derived_cl50702])).
% 19.13/3.36 thf(zip_derived_cl51430, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((multiply @ X0 @ sk_c7) != (sk_c7))
% 19.13/3.36 | ((inverse @ X0) != (sk_c7))
% 19.13/3.36 | ((multiply @ X1 @ sk_c7) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((sk_c7) != (identity))
% 19.13/3.36 | ((X2) != (sk_c7))
% 19.13/3.36 | ((inverse @ X2) != (sk_c7))
% 19.13/3.36 | ((inverse @ X3) != (sk_c7))
% 19.13/3.36 | ((multiply @ X3 @ sk_c7) != (sk_c7))
% 19.13/3.36 | ((inverse @ X4) != (identity))
% 19.13/3.36 | ((X4) != (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl50672, zip_derived_cl51400])).
% 19.13/3.36 thf(zip_derived_cl51431, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((multiply @ X0 @ identity) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((multiply @ X1 @ identity) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((sk_c7) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((multiply @ X3 @ identity) != (identity))
% 19.13/3.36 | ((inverse @ X4) != (identity))
% 19.13/3.36 | ((X4) != (identity)))),
% 19.13/3.36 inference('local_rewriting', [status(thm)], [zip_derived_cl51430])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl51432, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((sk_c7) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((inverse @ X4) != (identity))
% 19.13/3.36 | ((X4) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl51431, zip_derived_cl632, zip_derived_cl632,
% 19.13/3.36 zip_derived_cl632])).
% 19.13/3.36 thf(zip_derived_cl790, plain,
% 19.13/3.36 ((((multiply @ sk_c1 @ sk_c8) = (sk_c7))
% 19.13/3.36 | ((multiply @ (inverse @ sk_c8) @ sk_c7) = (sk_c8)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl779])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl50735, plain,
% 19.13/3.36 ((((sk_c1) = (sk_c7)) | ((sk_c7) = (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl790, zip_derived_cl50644, zip_derived_cl632,
% 19.13/3.36 zip_derived_cl50644, zip_derived_cl619, zip_derived_cl0,
% 19.13/3.36 zip_derived_cl50644])).
% 19.13/3.36 thf(zip_derived_cl737, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c8) = (sk_c7)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl736])).
% 19.13/3.36 thf(zip_derived_cl38, plain,
% 19.13/3.36 ((((multiply @ sk_c7 @ sk_c5) = (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl748, plain,
% 19.13/3.36 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl737, zip_derived_cl38])).
% 19.13/3.36 thf(zip_derived_cl763, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((multiply @ sk_c8 @ sk_c5) = (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl748])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl1282, plain,
% 19.13/3.36 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl763, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl632, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl123])).
% 19.13/3.36 thf(zip_derived_cl1288, plain,
% 19.13/3.36 ((((sk_c5) = (inverse @ sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl1282, zip_derived_cl632])).
% 19.13/3.36 thf(zip_derived_cl12, plain,
% 19.13/3.36 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('cnf', [status(esa)], [zf_stmt_4])).
% 19.13/3.36 thf(zip_derived_cl104, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl147, plain,
% 19.13/3.36 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c7))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl104])).
% 19.13/3.36 thf(zip_derived_cl1297, plain,
% 19.13/3.36 ((((sk_c6) = (multiply @ (inverse @ (inverse @ sk_c8)) @ sk_c7))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl1288, zip_derived_cl147])).
% 19.13/3.36 thf(zip_derived_cl673, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl126])).
% 19.13/3.36 thf(zip_derived_cl1313, plain,
% 19.13/3.36 ((((sk_c6) = (multiply @ sk_c8 @ sk_c7))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8))
% 19.13/3.36 | ((inverse @ sk_c1) = (sk_c8)))),
% 19.13/3.36 inference('demod', [status(thm)], [zip_derived_cl1297, zip_derived_cl673])).
% 19.13/3.36 thf(zip_derived_cl1314, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (sk_c8)) | ((sk_c6) = (multiply @ sk_c8 @ sk_c7)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl1313])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl50644, plain, (((sk_c8) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl50643])).
% 19.13/3.36 thf(zip_derived_cl0, plain,
% 19.13/3.36 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 19.13/3.36 inference('cnf', [status(esa)], [left_identity])).
% 19.13/3.36 thf(zip_derived_cl50762, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (identity)) | ((sk_c6) = (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl1314, zip_derived_cl50644, zip_derived_cl50644,
% 19.13/3.36 zip_derived_cl0])).
% 19.13/3.36 thf(zip_derived_cl51400, plain, (((identity) = (sk_c6))),
% 19.13/3.36 inference('clc', [status(thm)],
% 19.13/3.36 [zip_derived_cl50717, zip_derived_cl50702])).
% 19.13/3.36 thf(zip_derived_cl51455, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (identity)) | ((identity) = (sk_c7)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl50762, zip_derived_cl51400])).
% 19.13/3.36 thf(zip_derived_cl51432, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((sk_c7) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((inverse @ X4) != (identity))
% 19.13/3.36 | ((X4) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl51431, zip_derived_cl632, zip_derived_cl632,
% 19.13/3.36 zip_derived_cl632])).
% 19.13/3.36 thf(zip_derived_cl51459, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((identity) != (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((inverse @ X4) != (identity))
% 19.13/3.36 | ((X4) != (identity)))),
% 19.13/3.36 inference('sup-', [status(thm)],
% 19.13/3.36 [zip_derived_cl51455, zip_derived_cl51432])).
% 19.13/3.36 thf(zip_derived_cl51460, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((X4) != (identity))
% 19.13/3.36 | ((inverse @ X4) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl51459])).
% 19.13/3.36 thf(zip_derived_cl53081, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 19.13/3.36 (((inverse @ sk_c1) = (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((inverse @ identity) != (identity)))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl51460])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53082, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 19.13/3.36 (((inverse @ sk_c1) = (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((identity) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53081, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53083, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 19.13/3.36 (((X3) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53082])).
% 19.13/3.36 thf(zip_derived_cl53084, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 (((inverse @ sk_c1) = (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ identity) != (identity)))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl53083])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53085, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 (((inverse @ sk_c1) = (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((identity) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53084, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53086, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 (((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53085])).
% 19.13/3.36 thf(zip_derived_cl53087, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 (((inverse @ sk_c1) = (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((inverse @ identity) != (identity)))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl53086])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53088, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 (((inverse @ sk_c1) = (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((identity) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53087, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53089, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 (((inverse @ X1) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53088])).
% 19.13/3.36 thf(zip_derived_cl53090, plain,
% 19.13/3.36 (![X0 : $i]:
% 19.13/3.36 (((inverse @ sk_c1) = (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((inverse @ identity) != (identity)))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl53089])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53091, plain,
% 19.13/3.36 (![X0 : $i]:
% 19.13/3.36 (((inverse @ sk_c1) = (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((identity) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53090, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53092, plain,
% 19.13/3.36 (![X0 : $i]:
% 19.13/3.36 (((inverse @ X0) != (identity))
% 19.13/3.36 | ((X0) != (identity))
% 19.13/3.36 | ((inverse @ sk_c1) = (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53091])).
% 19.13/3.36 thf(zip_derived_cl53093, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (identity)) | ((inverse @ identity) != (identity)))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl53092])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53094, plain,
% 19.13/3.36 ((((inverse @ sk_c1) = (identity)) | ((identity) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53093, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53095, plain, (((inverse @ sk_c1) = (identity))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53094])).
% 19.13/3.36 thf(zip_derived_cl673, plain,
% 19.13/3.36 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl126])).
% 19.13/3.36 thf(zip_derived_cl53098, plain, (((sk_c1) = (inverse @ identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl53095, zip_derived_cl673])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53102, plain, (((sk_c1) = (identity))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53098, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53112, plain,
% 19.13/3.36 ((((identity) = (sk_c7)) | ((sk_c7) = (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl50735, zip_derived_cl53102])).
% 19.13/3.36 thf(zip_derived_cl53113, plain, (((identity) = (sk_c7))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53112])).
% 19.13/3.36 thf(zip_derived_cl53155, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((identity) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((inverse @ X4) != (identity))
% 19.13/3.36 | ((X4) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl51432, zip_derived_cl53113])).
% 19.13/3.36 thf(zip_derived_cl53156, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 19.13/3.36 (((X4) != (identity))
% 19.13/3.36 | ((inverse @ X4) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X0) != (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53155])).
% 19.13/3.36 thf(zip_derived_cl53175, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((inverse @ identity) != (identity)))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl53156])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53176, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((X3) != (identity))
% 19.13/3.36 | ((identity) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53175, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53177, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 19.13/3.36 (((X3) != (identity))
% 19.13/3.36 | ((inverse @ X3) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X0) != (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53176])).
% 19.13/3.36 thf(zip_derived_cl53178, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((inverse @ identity) != (identity)))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl53177])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53179, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X2) != (identity))
% 19.13/3.36 | ((identity) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53178, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53180, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 19.13/3.36 (((inverse @ X2) != (identity))
% 19.13/3.36 | ((X2) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X0) != (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53179])).
% 19.13/3.36 thf(zip_derived_cl53181, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((inverse @ identity) != (identity)))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl53180])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53182, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X1) != (identity))
% 19.13/3.36 | ((identity) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53181, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53183, plain,
% 19.13/3.36 (![X0 : $i, X1 : $i]:
% 19.13/3.36 (((inverse @ X1) != (identity))
% 19.13/3.36 | ((X1) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((X0) != (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53182])).
% 19.13/3.36 thf(zip_derived_cl53184, plain,
% 19.13/3.36 (![X0 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((inverse @ identity) != (identity)))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl53183])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53185, plain,
% 19.13/3.36 (![X0 : $i]:
% 19.13/3.36 (((X0) != (identity))
% 19.13/3.36 | ((inverse @ X0) != (identity))
% 19.13/3.36 | ((identity) != (identity)))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53184, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53186, plain,
% 19.13/3.36 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53185])).
% 19.13/3.36 thf(zip_derived_cl53187, plain, (((inverse @ identity) != (identity))),
% 19.13/3.36 inference('eq_res', [status(thm)], [zip_derived_cl53186])).
% 19.13/3.36 thf(zip_derived_cl619, plain, (((inverse @ identity) = (identity))),
% 19.13/3.36 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 19.13/3.36 thf(zip_derived_cl53188, plain, (((identity) != (identity))),
% 19.13/3.36 inference('demod', [status(thm)],
% 19.13/3.36 [zip_derived_cl53187, zip_derived_cl619])).
% 19.13/3.36 thf(zip_derived_cl53189, plain, ($false),
% 19.13/3.36 inference('simplify', [status(thm)], [zip_derived_cl53188])).
% 19.13/3.36
% 19.13/3.36 % SZS output end Refutation
% 19.13/3.36
% 19.13/3.36
% 19.13/3.37 % Terminating...
% 19.65/3.48 % Runner terminated.
% 19.65/3.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------