TSTP Solution File: GRP329-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP329-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9Tob04iiGR true
% Computer : n014.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 01:51:13 EDT 2023
% Result : Unsatisfiable 1.30s 0.93s
% Output : Refutation 1.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP329-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9Tob04iiGR true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:32:00 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.30/0.93 % Solved by fo/fo7.sh.
% 1.30/0.93 % done 459 iterations in 0.158s
% 1.30/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.93 % SZS output start Refutation
% 1.30/0.93 thf(sk_c1_type, type, sk_c1: $i).
% 1.30/0.93 thf(sk_c7_type, type, sk_c7: $i).
% 1.30/0.93 thf(sk_c2_type, type, sk_c2: $i).
% 1.30/0.93 thf(sk_c6_type, type, sk_c6: $i).
% 1.30/0.93 thf(sk_c5_type, type, sk_c5: $i).
% 1.30/0.93 thf(identity_type, type, identity: $i).
% 1.30/0.93 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.30/0.93 thf(sk_c9_type, type, sk_c9: $i).
% 1.30/0.93 thf(inverse_type, type, inverse: $i > $i).
% 1.30/0.93 thf(sk_c4_type, type, sk_c4: $i).
% 1.30/0.93 thf(sk_c3_type, type, sk_c3: $i).
% 1.30/0.93 thf(sk_c8_type, type, sk_c8: $i).
% 1.30/0.93 thf(prove_this_43, conjecture,
% 1.30/0.93 (~( ( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.30/0.93 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 1.30/0.93 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) ) ))).
% 1.30/0.93 thf(zf_stmt_0, negated_conjecture,
% 1.30/0.93 (( ( inverse @ X3 ) != ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ X3 @ sk_c9 ) != ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.30/0.93 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ X6 @ sk_c9 ) != ( X5 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c9 @ X5 ) != ( sk_c8 ) ) |
% 1.30/0.93 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) != ( sk_c7 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_43])).
% 1.30/0.93 thf(zip_derived_cl45, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.30/0.93 (((inverse @ X0) != (sk_c9))
% 1.30/0.93 | ((multiply @ X0 @ sk_c9) != (sk_c7))
% 1.30/0.93 | ((inverse @ X1) != (sk_c8))
% 1.30/0.93 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.30/0.93 | ((inverse @ X2) != (sk_c8))
% 1.30/0.93 | ((multiply @ X2 @ sk_c8) != (sk_c7))
% 1.30/0.93 | ((inverse @ sk_c8) != (sk_c7))
% 1.30/0.93 | ((inverse @ X3) != (sk_c9))
% 1.30/0.93 | ((multiply @ X3 @ sk_c9) != (X4))
% 1.30/0.93 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 1.30/0.93 | ((inverse @ X5) != (sk_c8))
% 1.30/0.93 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.30/0.93 thf(zip_derived_cl46, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.30/0.93 (((inverse @ X0) != (sk_c9))
% 1.30/0.93 | ((multiply @ X0 @ sk_c9) != (multiply @ sk_c8 @ sk_c9))
% 1.30/0.93 | ((inverse @ X1) != (sk_c8))
% 1.30/0.93 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.30/0.93 | ((inverse @ X2) != (sk_c8))
% 1.30/0.93 | ((multiply @ X2 @ sk_c8) != (multiply @ sk_c8 @ sk_c9))
% 1.30/0.93 | ((inverse @ sk_c8) != (sk_c7))
% 1.30/0.93 | ((inverse @ X3) != (sk_c9))
% 1.30/0.93 | ((multiply @ X3 @ sk_c9) != (X4))
% 1.30/0.93 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 1.30/0.93 | ((inverse @ X5) != (sk_c8))
% 1.30/0.93 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) != (sk_c7)))),
% 1.30/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl45])).
% 1.30/0.93 thf(prove_this_21, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.30/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.30/0.93 thf(zf_stmt_1, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.30/0.93 thf(zip_derived_cl23, plain,
% 1.30/0.93 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.30/0.93 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl57, plain,
% 1.30/0.93 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.30/0.93 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(associativity, axiom,
% 1.30/0.93 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.30/0.93 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.30/0.93 thf(zip_derived_cl2, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.93 thf(zip_derived_cl70, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((multiply @ identity @ X0)
% 1.30/0.93 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.30/0.93 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl127, plain,
% 1.30/0.93 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.30/0.93 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl103])).
% 1.30/0.93 thf(prove_this_14, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.30/0.93 thf(zf_stmt_2, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.30/0.93 thf(zip_derived_cl16, plain,
% 1.30/0.93 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.30/0.93 thf(zip_derived_cl257, plain,
% 1.30/0.93 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.30/0.93 = (sk_c9))
% 1.30/0.93 | ((inverse @ sk_c6) = (sk_c9))
% 1.30/0.93 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl16])).
% 1.30/0.93 thf(zip_derived_cl2, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl275, plain,
% 1.30/0.93 ((((identity) = (sk_c9))
% 1.30/0.93 | ((inverse @ sk_c6) = (sk_c9))
% 1.30/0.93 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl257, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.93 zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl276, plain,
% 1.30/0.93 ((((inverse @ sk_c6) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl275])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl341, plain,
% 1.30/0.93 ((((multiply @ sk_c9 @ sk_c6) = (identity)) | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl276, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl441, plain,
% 1.30/0.93 ((((sk_c6) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.30/0.93 | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl341, zip_derived_cl103])).
% 1.30/0.93 thf(prove_this_20, conjecture,
% 1.30/0.93 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.30/0.93 thf(zf_stmt_3, negated_conjecture,
% 1.30/0.93 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.30/0.93 thf(zip_derived_cl22, plain,
% 1.30/0.93 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl120, plain,
% 1.30/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl103])).
% 1.30/0.93 thf(zip_derived_cl667, plain,
% 1.30/0.93 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.30/0.93 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl120])).
% 1.30/0.93 thf(prove_this_13, conjecture,
% 1.30/0.93 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.30/0.93 thf(zf_stmt_4, negated_conjecture,
% 1.30/0.93 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.30/0.93 thf(zip_derived_cl15, plain,
% 1.30/0.93 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.30/0.93 thf(zip_derived_cl758, plain,
% 1.30/0.93 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.30/0.93 = (sk_c9))
% 1.30/0.93 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl667, zip_derived_cl15])).
% 1.30/0.93 thf(zip_derived_cl2, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl776, plain,
% 1.30/0.93 ((((identity) = (sk_c9))
% 1.30/0.93 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c6 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl758, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.93 zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl777, plain,
% 1.30/0.93 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl776])).
% 1.30/0.93 thf(zip_derived_cl822, plain,
% 1.30/0.93 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.30/0.93 = (sk_c7))
% 1.30/0.93 | ((identity) = (sk_c9))
% 1.30/0.93 | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl441, zip_derived_cl777])).
% 1.30/0.93 thf(zip_derived_cl2, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl825, plain,
% 1.30/0.93 ((((identity) = (sk_c7))
% 1.30/0.93 | ((identity) = (sk_c9))
% 1.30/0.93 | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl822, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.93 zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl826, plain,
% 1.30/0.93 ((((identity) = (sk_c9)) | ((identity) = (sk_c7)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl825])).
% 1.30/0.93 thf(prove_this_5, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.30/0.93 thf(zf_stmt_5, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.30/0.93 thf(zip_derived_cl7, plain,
% 1.30/0.93 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl53, plain,
% 1.30/0.93 ((((multiply @ sk_c8 @ sk_c5) = (identity))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl123, plain,
% 1.30/0.93 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl103])).
% 1.30/0.93 thf(prove_this_4, conjecture,
% 1.30/0.93 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.30/0.93 thf(zf_stmt_6, negated_conjecture,
% 1.30/0.93 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.30/0.93 thf(zip_derived_cl6, plain,
% 1.30/0.93 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.30/0.93 thf(zip_derived_cl358, plain,
% 1.30/0.93 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.30/0.93 = (sk_c9))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl6])).
% 1.30/0.93 thf(zip_derived_cl2, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl361, plain,
% 1.30/0.93 ((((identity) = (sk_c9))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl358, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.93 zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl362, plain,
% 1.30/0.93 ((((multiply @ sk_c8 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl361])).
% 1.30/0.93 thf(zip_derived_cl833, plain,
% 1.30/0.93 ((((multiply @ sk_c8 @ sk_c9) = (identity))
% 1.30/0.93 | ((identity) = (sk_c9))
% 1.30/0.93 | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl826, zip_derived_cl362])).
% 1.30/0.93 thf(zip_derived_cl837, plain,
% 1.30/0.93 ((((identity) = (sk_c9)) | ((multiply @ sk_c8 @ sk_c9) = (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl833])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl866, plain,
% 1.30/0.93 ((((sk_c9) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.30/0.93 | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl837, zip_derived_cl103])).
% 1.30/0.93 thf(zip_derived_cl905, plain,
% 1.30/0.93 ((((multiply @ (inverse @ sk_c8) @ identity) != (identity))
% 1.30/0.93 | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('eq_fact', [status(thm)], [zip_derived_cl866])).
% 1.30/0.93 thf(zip_derived_cl120, plain,
% 1.30/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl103])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl117, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl103])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1069, plain,
% 1.30/0.93 ((((inverse @ sk_c8) != (identity)) | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl905, zip_derived_cl1012])).
% 1.30/0.93 thf(zip_derived_cl826, plain,
% 1.30/0.93 ((((identity) = (sk_c9)) | ((identity) = (sk_c7)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl825])).
% 1.30/0.93 thf(prove_this_15, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 1.30/0.93 thf(zf_stmt_7, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c8 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.30/0.93 thf(zip_derived_cl17, plain,
% 1.30/0.93 ((((inverse @ sk_c8) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl50, plain,
% 1.30/0.93 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 1.30/0.93 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl124, plain,
% 1.30/0.93 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.30/0.93 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl103])).
% 1.30/0.93 thf(prove_this_8, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.30/0.93 thf(zf_stmt_8, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.30/0.93 thf(zip_derived_cl10, plain,
% 1.30/0.93 ((((inverse @ sk_c8) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.30/0.93 thf(zip_derived_cl174, plain,
% 1.30/0.93 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.30/0.93 = (sk_c9))
% 1.30/0.93 | ((inverse @ sk_c8) = (sk_c7))
% 1.30/0.93 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl124, zip_derived_cl10])).
% 1.30/0.93 thf(zip_derived_cl2, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl192, plain,
% 1.30/0.93 ((((identity) = (sk_c9))
% 1.30/0.93 | ((inverse @ sk_c8) = (sk_c7))
% 1.30/0.93 | ((inverse @ sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl174, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.93 zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl193, plain,
% 1.30/0.93 ((((inverse @ sk_c8) = (sk_c7)) | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl192])).
% 1.30/0.93 thf(zip_derived_cl829, plain,
% 1.30/0.93 ((((inverse @ sk_c8) = (identity))
% 1.30/0.93 | ((identity) = (sk_c9))
% 1.30/0.93 | ((identity) = (sk_c9)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl826, zip_derived_cl193])).
% 1.30/0.93 thf(zip_derived_cl836, plain,
% 1.30/0.93 ((((identity) = (sk_c9)) | ((inverse @ sk_c8) = (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl829])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1115, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.30/0.93 (((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (sk_c8))
% 1.30/0.93 | ((inverse @ X1) != (sk_c8))
% 1.30/0.93 | ((multiply @ X1 @ sk_c8) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (sk_c8))
% 1.30/0.93 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 1.30/0.93 | ((inverse @ sk_c8) != (sk_c7))
% 1.30/0.93 | ((inverse @ X3) != (identity))
% 1.30/0.93 | ((X3) != (X4))
% 1.30/0.93 | ((X4) != (sk_c8))
% 1.30/0.93 | ((inverse @ X5) != (sk_c8))
% 1.30/0.93 | ((multiply @ X5 @ sk_c8) != (identity))
% 1.30/0.93 | ((sk_c8) != (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl46, zip_derived_cl1080, zip_derived_cl1080,
% 1.30/0.93 zip_derived_cl1012, zip_derived_cl1080, zip_derived_cl1012,
% 1.30/0.93 zip_derived_cl1080, zip_derived_cl1080, zip_derived_cl1012,
% 1.30/0.93 zip_derived_cl1080, zip_derived_cl1080, zip_derived_cl1012,
% 1.30/0.93 zip_derived_cl1080, zip_derived_cl0, zip_derived_cl1080,
% 1.30/0.93 zip_derived_cl1080, zip_derived_cl1012])).
% 1.30/0.93 thf(zip_derived_cl1167, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.93 (((sk_c8) != (sk_c7))
% 1.30/0.93 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (sk_c8))
% 1.30/0.93 | ((X1) != (sk_c8))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((inverse @ sk_c8) != (sk_c7))
% 1.30/0.93 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 1.30/0.93 | ((inverse @ X2) != (sk_c8))
% 1.30/0.93 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (sk_c8))
% 1.30/0.93 | ((X4) != (sk_c8))
% 1.30/0.93 | ((inverse @ X4) != (identity)))),
% 1.30/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1115])).
% 1.30/0.93 thf(prove_this_38, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.30/0.93 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.30/0.93 thf(zf_stmt_9, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_38])).
% 1.30/0.93 thf(zip_derived_cl40, plain,
% 1.30/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl58, plain,
% 1.30/0.93 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.30/0.93 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl135, plain,
% 1.30/0.93 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.30/0.93 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl103])).
% 1.30/0.93 thf(prove_this_31, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.30/0.93 thf(zf_stmt_10, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.30/0.93 thf(zip_derived_cl33, plain,
% 1.30/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.30/0.93 thf(zip_derived_cl281, plain,
% 1.30/0.93 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.30/0.93 = (sk_c3))
% 1.30/0.93 | ((inverse @ sk_c4) = (sk_c8))
% 1.30/0.93 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl135, zip_derived_cl33])).
% 1.30/0.93 thf(zip_derived_cl2, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl297, plain,
% 1.30/0.93 ((((identity) = (sk_c3))
% 1.30/0.93 | ((inverse @ sk_c4) = (sk_c8))
% 1.30/0.93 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl281, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.93 zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl298, plain,
% 1.30/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c3)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl297])).
% 1.30/0.93 thf(prove_this_24, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.30/0.93 thf(zf_stmt_11, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.30/0.93 thf(zip_derived_cl26, plain,
% 1.30/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.30/0.93 thf(zip_derived_cl305, plain,
% 1.30/0.93 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.30/0.93 | ((inverse @ sk_c4) = (sk_c8))
% 1.30/0.93 | ((inverse @ sk_c4) = (sk_c8)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl298, zip_derived_cl26])).
% 1.30/0.93 thf(zip_derived_cl309, plain,
% 1.30/0.93 ((((inverse @ sk_c4) = (sk_c8))
% 1.30/0.93 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl305])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1052, plain,
% 1.30/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl309, zip_derived_cl1012])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1200, plain,
% 1.30/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl1052, zip_derived_cl1080])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl120, plain,
% 1.30/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl103])).
% 1.30/0.93 thf(zip_derived_cl1075, plain,
% 1.30/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1012, zip_derived_cl120])).
% 1.30/0.93 thf(zip_derived_cl1202, plain,
% 1.30/0.93 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1200, zip_derived_cl1075])).
% 1.30/0.93 thf(prove_this_23, conjecture,
% 1.30/0.93 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) ) ))).
% 1.30/0.93 thf(zf_stmt_12, negated_conjecture,
% 1.30/0.93 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c9 @ sk_c3 ) = ( sk_c8 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.30/0.93 thf(zip_derived_cl25, plain,
% 1.30/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c9 @ sk_c3) = (sk_c8)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1099, plain,
% 1.30/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((sk_c3) = (sk_c8)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl25, zip_derived_cl1080, zip_derived_cl0])).
% 1.30/0.93 thf(prove_this_37, conjecture,
% 1.30/0.93 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.30/0.93 thf(zf_stmt_13, negated_conjecture,
% 1.30/0.93 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 1.30/0.93 thf(zip_derived_cl39, plain,
% 1.30/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.30/0.93 thf(zip_derived_cl120, plain,
% 1.30/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl103])).
% 1.30/0.93 thf(zip_derived_cl670, plain,
% 1.30/0.93 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.30/0.93 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl120])).
% 1.30/0.93 thf(prove_this_30, conjecture,
% 1.30/0.93 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) ) ))).
% 1.30/0.93 thf(zf_stmt_14, negated_conjecture,
% 1.30/0.93 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c3 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.30/0.93 thf(zip_derived_cl32, plain,
% 1.30/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c2 @ sk_c9) = (sk_c3)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.30/0.93 thf(zip_derived_cl781, plain,
% 1.30/0.93 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.30/0.93 = (sk_c3))
% 1.30/0.93 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl670, zip_derived_cl32])).
% 1.30/0.93 thf(zip_derived_cl2, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl799, plain,
% 1.30/0.93 ((((identity) = (sk_c3))
% 1.30/0.93 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl781, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.93 zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl800, plain,
% 1.30/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl799])).
% 1.30/0.93 thf(zip_derived_cl1429, plain,
% 1.30/0.93 ((((identity) = (sk_c8))
% 1.30/0.93 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c4 @ sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1099, zip_derived_cl800])).
% 1.30/0.93 thf(zip_derived_cl1431, plain,
% 1.30/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl1429])).
% 1.30/0.93 thf(zip_derived_cl2274, plain,
% 1.30/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.30/0.93 | ((identity) = (sk_c8))
% 1.30/0.93 | ((identity) = (sk_c8)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1202, zip_derived_cl1431])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl2277, plain,
% 1.30/0.93 ((((identity) = (sk_c7))
% 1.30/0.93 | ((identity) = (sk_c8))
% 1.30/0.93 | ((identity) = (sk_c8)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl2274, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl2278, plain,
% 1.30/0.93 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl2277])).
% 1.30/0.93 thf(prove_this_3, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.30/0.93 thf(zf_stmt_15, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.30/0.93 thf(zip_derived_cl5, plain,
% 1.30/0.93 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl52, plain,
% 1.30/0.93 ((((multiply @ sk_c8 @ sk_c4) = (identity))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl122, plain,
% 1.30/0.93 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl103])).
% 1.30/0.93 thf(prove_this_2, conjecture,
% 1.30/0.93 (~( ( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.30/0.93 thf(zf_stmt_16, negated_conjecture,
% 1.30/0.93 (( ( multiply @ sk_c4 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.30/0.93 thf(zip_derived_cl4, plain,
% 1.30/0.93 ((((multiply @ sk_c4 @ sk_c8) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.30/0.93 thf(zip_derived_cl346, plain,
% 1.30/0.93 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 1.30/0.93 = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl4])).
% 1.30/0.93 thf(zip_derived_cl2, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.30/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.30/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl349, plain,
% 1.30/0.93 ((((identity) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl346, zip_derived_cl2, zip_derived_cl0,
% 1.30/0.93 zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl350, plain,
% 1.30/0.93 ((((multiply @ sk_c8 @ sk_c9) = (sk_c7)) | ((identity) = (sk_c7)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl349])).
% 1.30/0.93 thf(zip_derived_cl356, plain,
% 1.30/0.93 ((((multiply @ sk_c8 @ sk_c9) != (identity)) | ((identity) = (sk_c7)))),
% 1.30/0.93 inference('eq_fact', [status(thm)], [zip_derived_cl350])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1135, plain,
% 1.30/0.93 ((((sk_c8) != (identity)) | ((identity) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl356, zip_derived_cl1080, zip_derived_cl1012])).
% 1.30/0.93 thf(zip_derived_cl2281, plain, (((identity) = (sk_c7))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl2278, zip_derived_cl1135])).
% 1.30/0.93 thf(zip_derived_cl2281, plain, (((identity) = (sk_c7))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl2278, zip_derived_cl1135])).
% 1.30/0.93 thf(zip_derived_cl2320, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.93 (((sk_c8) != (identity))
% 1.30/0.93 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (sk_c8))
% 1.30/0.93 | ((X1) != (sk_c8))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((inverse @ sk_c8) != (identity))
% 1.30/0.93 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 1.30/0.93 | ((inverse @ X2) != (sk_c8))
% 1.30/0.93 | ((multiply @ X3 @ sk_c8) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (sk_c8))
% 1.30/0.93 | ((X4) != (sk_c8))
% 1.30/0.93 | ((inverse @ X4) != (identity)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl1167, zip_derived_cl2281, zip_derived_cl2281])).
% 1.30/0.93 thf(zip_derived_cl2321, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.93 (((sk_c8) != (identity))
% 1.30/0.93 | ((multiply @ X0 @ identity) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((inverse @ identity) != (identity))
% 1.30/0.93 | ((multiply @ X2 @ identity) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((multiply @ X3 @ identity) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (identity))
% 1.30/0.93 | ((X4) != (identity))
% 1.30/0.93 | ((inverse @ X4) != (identity)))),
% 1.30/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl2320])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl0, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl119, plain,
% 1.30/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl103])).
% 1.30/0.93 thf(zip_derived_cl103, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl0])).
% 1.30/0.93 thf(zip_derived_cl172, plain,
% 1.30/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl103])).
% 1.30/0.93 thf(zip_derived_cl1, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.30/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.30/0.93 thf(zip_derived_cl714, plain, (((inverse @ identity) = (identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl2322, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.93 (((sk_c8) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((identity) != (identity))
% 1.30/0.93 | ((X2) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X3) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (identity))
% 1.30/0.93 | ((X4) != (identity))
% 1.30/0.93 | ((inverse @ X4) != (identity)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl2321, zip_derived_cl1012, zip_derived_cl714,
% 1.30/0.93 zip_derived_cl1012, zip_derived_cl1012])).
% 1.30/0.93 thf(zip_derived_cl2323, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.93 (((inverse @ X4) != (identity))
% 1.30/0.93 | ((X4) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (identity))
% 1.30/0.93 | ((X3) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X2) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((sk_c8) != (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl2322])).
% 1.30/0.93 thf(prove_this_1, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.30/0.93 thf(zf_stmt_17, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c8 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.30/0.93 thf(zip_derived_cl3, plain,
% 1.30/0.93 ((((inverse @ sk_c8) = (sk_c7)) | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1081, plain,
% 1.30/0.93 ((((inverse @ sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl3, zip_derived_cl1080, zip_derived_cl1012])).
% 1.30/0.93 thf(prove_this_6, conjecture,
% 1.30/0.93 (~( ( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.30/0.93 thf(zf_stmt_18, negated_conjecture,
% 1.30/0.93 (( ( multiply @ sk_c6 @ sk_c9 ) = ( sk_c7 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.30/0.93 thf(zip_derived_cl8, plain,
% 1.30/0.93 ((((multiply @ sk_c6 @ sk_c9) = (sk_c7))
% 1.30/0.93 | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1086, plain, ((((sk_c6) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl8, zip_derived_cl1080, zip_derived_cl1012,
% 1.30/0.93 zip_derived_cl1080, zip_derived_cl1012])).
% 1.30/0.93 thf(prove_this_7, conjecture,
% 1.30/0.93 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) ) ))).
% 1.30/0.93 thf(zf_stmt_19, negated_conjecture,
% 1.30/0.93 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.30/0.93 ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c7 ) )),
% 1.30/0.93 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.30/0.93 thf(zip_derived_cl9, plain,
% 1.30/0.93 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c8 @ sk_c9) = (sk_c7)))),
% 1.30/0.93 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1080, plain, (((identity) = (sk_c9))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl1069, zip_derived_cl836])).
% 1.30/0.93 thf(zip_derived_cl1012, plain,
% 1.30/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl120, zip_derived_cl117])).
% 1.30/0.93 thf(zip_derived_cl1087, plain,
% 1.30/0.93 ((((inverse @ sk_c6) = (identity)) | ((sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl9, zip_derived_cl1080, zip_derived_cl1080,
% 1.30/0.93 zip_derived_cl1012])).
% 1.30/0.93 thf(zip_derived_cl1154, plain,
% 1.30/0.93 ((((inverse @ sk_c7) = (identity))
% 1.30/0.93 | ((sk_c8) = (sk_c7))
% 1.30/0.93 | ((sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1086, zip_derived_cl1087])).
% 1.30/0.93 thf(zip_derived_cl1156, plain,
% 1.30/0.93 ((((sk_c8) = (sk_c7)) | ((inverse @ sk_c7) = (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl1154])).
% 1.30/0.93 thf(zip_derived_cl1396, plain,
% 1.30/0.93 ((((inverse @ (inverse @ sk_c8)) = (identity))
% 1.30/0.93 | ((sk_c8) = (sk_c7))
% 1.30/0.93 | ((sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1081, zip_derived_cl1156])).
% 1.30/0.93 thf(zip_derived_cl1075, plain,
% 1.30/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl1012, zip_derived_cl120])).
% 1.30/0.93 thf(zip_derived_cl1399, plain,
% 1.30/0.93 ((((sk_c8) = (identity)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl1396, zip_derived_cl1075])).
% 1.30/0.93 thf(zip_derived_cl1400, plain,
% 1.30/0.93 ((((sk_c8) = (sk_c7)) | ((sk_c8) = (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl1399])).
% 1.30/0.93 thf(zip_derived_cl2281, plain, (((identity) = (sk_c7))),
% 1.30/0.93 inference('clc', [status(thm)], [zip_derived_cl2278, zip_derived_cl1135])).
% 1.30/0.93 thf(zip_derived_cl2330, plain,
% 1.30/0.93 ((((sk_c8) = (identity)) | ((sk_c8) = (identity)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl1400, zip_derived_cl2281])).
% 1.30/0.93 thf(zip_derived_cl2331, plain, (((sk_c8) = (identity))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl2330])).
% 1.30/0.93 thf(zip_derived_cl2381, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.93 (((inverse @ X4) != (identity))
% 1.30/0.93 | ((X4) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (identity))
% 1.30/0.93 | ((X3) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X2) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((identity) != (identity)))),
% 1.30/0.93 inference('demod', [status(thm)],
% 1.30/0.93 [zip_derived_cl2323, zip_derived_cl2331])).
% 1.30/0.93 thf(zip_derived_cl2382, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.30/0.93 (((X0) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X2) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X3) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (identity))
% 1.30/0.93 | ((X4) != (identity))
% 1.30/0.93 | ((inverse @ X4) != (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl2381])).
% 1.30/0.93 thf(zip_derived_cl2383, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.93 (((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X2) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (identity))
% 1.30/0.93 | ((X3) != (identity))
% 1.30/0.93 | ((inverse @ identity) != (identity)))),
% 1.30/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2382])).
% 1.30/0.93 thf(zip_derived_cl714, plain, (((inverse @ identity) = (identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl2384, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.93 (((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X2) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (identity))
% 1.30/0.93 | ((X3) != (identity))
% 1.30/0.93 | ((identity) != (identity)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl2383, zip_derived_cl714])).
% 1.30/0.93 thf(zip_derived_cl2385, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.30/0.93 (((X3) != (identity))
% 1.30/0.93 | ((inverse @ X3) != (identity))
% 1.30/0.93 | ((X2) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl2384])).
% 1.30/0.93 thf(zip_derived_cl2427, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 (((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X2) != (identity))
% 1.30/0.93 | ((inverse @ identity) != (identity)))),
% 1.30/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2385])).
% 1.30/0.93 thf(zip_derived_cl714, plain, (((inverse @ identity) = (identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl2428, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 (((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X2) != (identity))
% 1.30/0.93 | ((identity) != (identity)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl2427, zip_derived_cl714])).
% 1.30/0.93 thf(zip_derived_cl2429, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.30/0.93 (((X2) != (identity))
% 1.30/0.93 | ((inverse @ X2) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl2428])).
% 1.30/0.93 thf(zip_derived_cl2430, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 (((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((inverse @ identity) != (identity)))),
% 1.30/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2429])).
% 1.30/0.93 thf(zip_derived_cl714, plain, (((inverse @ identity) = (identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl2431, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 (((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X1) != (identity))
% 1.30/0.93 | ((identity) != (identity)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl2430, zip_derived_cl714])).
% 1.30/0.93 thf(zip_derived_cl2432, plain,
% 1.30/0.93 (![X0 : $i, X1 : $i]:
% 1.30/0.93 (((X1) != (identity))
% 1.30/0.93 | ((inverse @ X1) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ X0) != (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl2431])).
% 1.30/0.93 thf(zip_derived_cl2433, plain,
% 1.30/0.93 (![X0 : $i]:
% 1.30/0.93 (((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((inverse @ identity) != (identity)))),
% 1.30/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2432])).
% 1.30/0.93 thf(zip_derived_cl714, plain, (((inverse @ identity) = (identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl2434, plain,
% 1.30/0.93 (![X0 : $i]:
% 1.30/0.93 (((inverse @ X0) != (identity))
% 1.30/0.93 | ((X0) != (identity))
% 1.30/0.93 | ((identity) != (identity)))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl2433, zip_derived_cl714])).
% 1.30/0.93 thf(zip_derived_cl2435, plain,
% 1.30/0.93 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl2434])).
% 1.30/0.93 thf(zip_derived_cl2436, plain, (((inverse @ identity) != (identity))),
% 1.30/0.93 inference('eq_res', [status(thm)], [zip_derived_cl2435])).
% 1.30/0.93 thf(zip_derived_cl714, plain, (((inverse @ identity) = (identity))),
% 1.30/0.93 inference('sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl1])).
% 1.30/0.93 thf(zip_derived_cl2437, plain, (((identity) != (identity))),
% 1.30/0.93 inference('demod', [status(thm)], [zip_derived_cl2436, zip_derived_cl714])).
% 1.30/0.93 thf(zip_derived_cl2438, plain, ($false),
% 1.30/0.93 inference('simplify', [status(thm)], [zip_derived_cl2437])).
% 1.30/0.93
% 1.30/0.93 % SZS output end Refutation
% 1.30/0.93
% 1.30/0.93
% 1.30/0.93 % Terminating...
% 1.57/1.05 % Runner terminated.
% 1.57/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------