TSTP Solution File: GRP288-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP288-1 : 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.hk7WRTYwhM true
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:51:03 EDT 2023
% Result : Unsatisfiable 1.32s 0.82s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP288-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hk7WRTYwhM true
% 0.13/0.34 % Computer : n001.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 22:38:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.82 % Solved by fo/fo7.sh.
% 1.32/0.82 % done 218 iterations in 0.084s
% 1.32/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/0.82 % SZS output start Refutation
% 1.32/0.82 thf(sk_c2_type, type, sk_c2: $i).
% 1.32/0.82 thf(sk_c5_type, type, sk_c5: $i).
% 1.32/0.82 thf(sk_c1_type, type, sk_c1: $i).
% 1.32/0.82 thf(sk_c4_type, type, sk_c4: $i).
% 1.32/0.82 thf(identity_type, type, identity: $i).
% 1.32/0.82 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.32/0.82 thf(sk_c6_type, type, sk_c6: $i).
% 1.32/0.82 thf(inverse_type, type, inverse: $i > $i).
% 1.32/0.82 thf(sk_c3_type, type, sk_c3: $i).
% 1.32/0.82 thf(sk_c7_type, type, sk_c7: $i).
% 1.32/0.82 thf(prove_this_26, conjecture,
% 1.32/0.82 (~( ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.82 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.32/0.82 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.32/0.82 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 1.32/0.82 thf(zf_stmt_0, negated_conjecture,
% 1.32/0.82 (( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.82 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.32/0.82 ( ( inverse @ X4 ) != ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ X4 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.32/0.82 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.32/0.82 thf(zip_derived_cl28, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.82 (((inverse @ X0) != (sk_c6))
% 1.32/0.82 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.82 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.32/0.82 | ((inverse @ X1) != (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 1.32/0.82 | ((inverse @ X2) != (sk_c6))
% 1.32/0.82 | ((multiply @ X2 @ sk_c6) != (sk_c5))
% 1.32/0.82 | ((inverse @ X3) != (sk_c7))
% 1.32/0.82 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 1.32/0.82 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/0.82 thf(zip_derived_cl29, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.82 (((inverse @ X0) != (sk_c6))
% 1.32/0.82 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.82 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.32/0.82 | ((inverse @ X1) != (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 1.32/0.82 | ((inverse @ X2) != (sk_c6))
% 1.32/0.82 | ((multiply @ X2 @ sk_c6) != (multiply @ sk_c7 @ sk_c6))
% 1.32/0.82 | ((inverse @ X3) != (sk_c7))
% 1.32/0.82 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 1.32/0.82 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 1.32/0.82 inference('local_rewriting', [status(thm)], [zip_derived_cl28])).
% 1.32/0.82 thf(prove_this_25, conjecture,
% 1.32/0.82 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.32/0.82 thf(zf_stmt_1, negated_conjecture,
% 1.32/0.82 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.32/0.82 thf(zip_derived_cl27, plain,
% 1.32/0.82 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.32/0.82 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl41, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(associativity, axiom,
% 1.32/0.82 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.32/0.82 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.32/0.82 thf(zip_derived_cl2, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.82 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.82 thf(zip_derived_cl49, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((multiply @ identity @ X0)
% 1.32/0.82 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.32/0.82 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl90, plain,
% 1.32/0.82 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl67])).
% 1.32/0.82 thf(prove_this_20, conjecture,
% 1.32/0.82 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.32/0.82 thf(zf_stmt_2, negated_conjecture,
% 1.32/0.82 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.32/0.82 thf(zip_derived_cl22, plain,
% 1.32/0.82 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.32/0.82 thf(zip_derived_cl265, plain,
% 1.32/0.82 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.32/0.82 = (sk_c5))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl22])).
% 1.32/0.82 thf(zip_derived_cl2, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.82 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl278, plain,
% 1.32/0.82 ((((identity) = (sk_c5))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl265, zip_derived_cl2, zip_derived_cl0,
% 1.32/0.82 zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl279, plain,
% 1.32/0.82 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl278])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl282, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c4) = (identity)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl279, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl327, plain,
% 1.32/0.82 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.32/0.82 | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl67])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl81, plain,
% 1.32/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl78, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl67])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl523, plain,
% 1.32/0.82 ((((sk_c4) = (inverse @ sk_c6)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl327, zip_derived_cl489])).
% 1.32/0.82 thf(prove_this_24, conjecture,
% 1.32/0.82 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.32/0.82 thf(zf_stmt_3, negated_conjecture,
% 1.32/0.82 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.32/0.82 thf(zip_derived_cl26, plain,
% 1.32/0.82 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl81, plain,
% 1.32/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 1.32/0.82 thf(zip_derived_cl533, plain,
% 1.32/0.82 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl489, zip_derived_cl81])).
% 1.32/0.82 thf(zip_derived_cl558, plain,
% 1.32/0.82 ((((sk_c2) = (inverse @ sk_c6)) | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl533])).
% 1.32/0.82 thf(prove_this_19, conjecture,
% 1.32/0.82 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.32/0.82 thf(zf_stmt_4, negated_conjecture,
% 1.32/0.82 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.32/0.82 thf(zip_derived_cl21, plain,
% 1.32/0.82 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.32/0.82 thf(zip_derived_cl1062, plain,
% 1.32/0.82 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl558, zip_derived_cl21])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl1079, plain,
% 1.32/0.82 ((((identity) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl1062, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl1080, plain,
% 1.32/0.82 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1079])).
% 1.32/0.82 thf(zip_derived_cl1182, plain,
% 1.32/0.82 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((identity) = (sk_c5))
% 1.32/0.82 | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl523, zip_derived_cl1080])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl1185, plain,
% 1.32/0.82 ((((identity) = (sk_c7))
% 1.32/0.82 | ((identity) = (sk_c5))
% 1.32/0.82 | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl1182, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl1186, plain,
% 1.32/0.82 ((((identity) = (sk_c5)) | ((identity) = (sk_c7)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1185])).
% 1.32/0.82 thf(prove_this_15, conjecture,
% 1.32/0.82 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.32/0.82 thf(zf_stmt_5, negated_conjecture,
% 1.32/0.82 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.32/0.82 thf(zip_derived_cl17, plain,
% 1.32/0.82 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl38, plain,
% 1.32/0.82 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl86, plain,
% 1.32/0.82 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl67])).
% 1.32/0.82 thf(prove_this_10, conjecture,
% 1.32/0.82 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.32/0.82 thf(zf_stmt_6, negated_conjecture,
% 1.32/0.82 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.32/0.82 thf(zip_derived_cl12, plain,
% 1.32/0.82 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.32/0.82 thf(zip_derived_cl157, plain,
% 1.32/0.82 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.32/0.82 = (sk_c6))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl12])).
% 1.32/0.82 thf(zip_derived_cl2, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.82 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl170, plain,
% 1.32/0.82 ((((identity) = (sk_c6))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6))
% 1.32/0.82 | ((inverse @ sk_c4) = (sk_c6)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl157, zip_derived_cl2, zip_derived_cl0,
% 1.32/0.82 zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl171, plain,
% 1.32/0.82 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl170])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl198, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c4) = (identity)) | ((identity) = (sk_c6)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl171, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl299, plain,
% 1.32/0.82 ((((sk_c4) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.32/0.82 | ((identity) = (sk_c6)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl198, zip_derived_cl67])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl520, plain,
% 1.32/0.82 ((((sk_c4) = (inverse @ sk_c6)) | ((identity) = (sk_c6)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl299, zip_derived_cl489])).
% 1.32/0.82 thf(prove_this_14, conjecture,
% 1.32/0.82 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.32/0.82 thf(zf_stmt_7, negated_conjecture,
% 1.32/0.82 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.32/0.82 thf(zip_derived_cl16, plain,
% 1.32/0.82 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.32/0.82 thf(zip_derived_cl533, plain,
% 1.32/0.82 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl489, zip_derived_cl81])).
% 1.32/0.82 thf(zip_derived_cl553, plain,
% 1.32/0.82 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl533])).
% 1.32/0.82 thf(prove_this_9, conjecture,
% 1.32/0.82 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.32/0.82 thf(zf_stmt_8, negated_conjecture,
% 1.32/0.82 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.32/0.82 thf(zip_derived_cl11, plain,
% 1.32/0.82 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.32/0.82 thf(zip_derived_cl903, plain,
% 1.32/0.82 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 1.32/0.82 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl553, zip_derived_cl11])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl918, plain,
% 1.32/0.82 ((((identity) = (sk_c6))
% 1.32/0.82 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl903, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl919, plain,
% 1.32/0.82 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl918])).
% 1.32/0.82 thf(zip_derived_cl1124, plain,
% 1.32/0.82 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((identity) = (sk_c6))
% 1.32/0.82 | ((identity) = (sk_c6)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl520, zip_derived_cl919])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl1127, plain,
% 1.32/0.82 ((((identity) = (sk_c7))
% 1.32/0.82 | ((identity) = (sk_c6))
% 1.32/0.82 | ((identity) = (sk_c6)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl1124, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl1128, plain,
% 1.32/0.82 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1127])).
% 1.32/0.82 thf(zip_derived_cl1128, plain,
% 1.32/0.82 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1127])).
% 1.32/0.82 thf(prove_this_1, conjecture,
% 1.32/0.82 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.32/0.82 thf(zf_stmt_9, negated_conjecture,
% 1.32/0.82 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.32/0.82 thf(zip_derived_cl3, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.32/0.82 thf(zip_derived_cl31, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 1.32/0.82 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('eq_fact', [status(thm)], [zip_derived_cl3])).
% 1.32/0.82 thf(zip_derived_cl1138, plain,
% 1.32/0.82 ((((multiply @ identity @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 1.32/0.82 | ((identity) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('sup-', [status(thm)], [zip_derived_cl1128, zip_derived_cl31])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl1154, plain,
% 1.32/0.82 ((((sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 1.32/0.82 | ((identity) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl1138, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl1155, plain,
% 1.32/0.82 ((((sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 1.32/0.82 | ((identity) = (sk_c7))
% 1.32/0.82 | ((sk_c7) = (sk_c5)))),
% 1.32/0.82 inference('local_rewriting', [status(thm)], [zip_derived_cl1154])).
% 1.32/0.82 thf(zip_derived_cl1158, plain,
% 1.32/0.82 ((((sk_c7) != (multiply @ sk_c7 @ identity))
% 1.32/0.82 | ((identity) = (sk_c7))
% 1.32/0.82 | ((sk_c7) = (sk_c5))
% 1.32/0.82 | ((identity) = (sk_c7)))),
% 1.32/0.82 inference('sup-', [status(thm)], [zip_derived_cl1128, zip_derived_cl1155])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl1159, plain,
% 1.32/0.82 ((((sk_c7) != (sk_c7))
% 1.32/0.82 | ((identity) = (sk_c7))
% 1.32/0.82 | ((sk_c7) = (sk_c5))
% 1.32/0.82 | ((identity) = (sk_c7)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl1158, zip_derived_cl489])).
% 1.32/0.82 thf(zip_derived_cl1160, plain,
% 1.32/0.82 ((((sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1159])).
% 1.32/0.82 thf(zip_derived_cl1195, plain,
% 1.32/0.82 ((((sk_c7) = (identity))
% 1.32/0.82 | ((identity) = (sk_c7))
% 1.32/0.82 | ((identity) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl1186, zip_derived_cl1160])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl1222, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.82 (((inverse @ X0) != (sk_c6))
% 1.32/0.82 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.82 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((sk_c6) != (sk_c5))
% 1.32/0.82 | ((inverse @ X2) != (sk_c6))
% 1.32/0.82 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 1.32/0.82 | ((inverse @ X3) != (identity))
% 1.32/0.82 | ((X3) != (sk_c6))
% 1.32/0.82 | ((sk_c6) != (sk_c5)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl29, zip_derived_cl1197, zip_derived_cl1197,
% 1.32/0.82 zip_derived_cl1197, zip_derived_cl1197, zip_derived_cl489,
% 1.32/0.82 zip_derived_cl1197, zip_derived_cl0, zip_derived_cl1197,
% 1.32/0.82 zip_derived_cl1197, zip_derived_cl489, zip_derived_cl1197,
% 1.32/0.82 zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl1223, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.82 (((X3) != (sk_c6))
% 1.32/0.82 | ((inverse @ X3) != (identity))
% 1.32/0.82 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 1.32/0.82 | ((inverse @ X2) != (sk_c6))
% 1.32/0.82 | ((sk_c6) != (sk_c5))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.32/0.82 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.82 | ((inverse @ X0) != (sk_c6)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1222])).
% 1.32/0.82 thf(zip_derived_cl3, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl1198, plain, ((((sk_c6) = (sk_c5)) | ((sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl3, zip_derived_cl1197, zip_derived_cl489,
% 1.32/0.82 zip_derived_cl1197, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl1199, plain, (((sk_c6) = (sk_c5))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1198])).
% 1.32/0.82 thf(zip_derived_cl1277, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.82 (((X3) != (sk_c6))
% 1.32/0.82 | ((inverse @ X3) != (identity))
% 1.32/0.82 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 1.32/0.82 | ((inverse @ X2) != (sk_c6))
% 1.32/0.82 | ((sk_c6) != (sk_c6))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.32/0.82 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.82 | ((inverse @ X0) != (sk_c6)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1223, zip_derived_cl1199])).
% 1.32/0.82 thf(zip_derived_cl1278, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.82 (((inverse @ X0) != (sk_c6))
% 1.32/0.82 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.82 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((inverse @ X2) != (sk_c6))
% 1.32/0.82 | ((multiply @ X2 @ sk_c6) != (sk_c6))
% 1.32/0.82 | ((inverse @ X3) != (identity))
% 1.32/0.82 | ((X3) != (sk_c6)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1277])).
% 1.32/0.82 thf(zip_derived_cl1279, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.82 (((inverse @ sk_c6) != (identity))
% 1.32/0.82 | ((multiply @ X0 @ sk_c6) != (sk_c6))
% 1.32/0.82 | ((inverse @ X0) != (sk_c6))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((multiply @ X1 @ sk_c6) != (identity))
% 1.32/0.82 | ((multiply @ X2 @ sk_c6) != (identity))
% 1.32/0.82 | ((inverse @ X2) != (sk_c6)))),
% 1.32/0.82 inference('eq_res', [status(thm)], [zip_derived_cl1278])).
% 1.32/0.82 thf(zip_derived_cl1199, plain, (((sk_c6) = (sk_c5))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1198])).
% 1.32/0.82 thf(prove_this_22, conjecture,
% 1.32/0.82 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.32/0.82 thf(zf_stmt_10, negated_conjecture,
% 1.32/0.82 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.32/0.82 thf(zip_derived_cl24, plain,
% 1.32/0.82 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl40, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.32/0.82 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl24, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl89, plain,
% 1.32/0.82 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.32/0.82 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl67])).
% 1.32/0.82 thf(prove_this_17, conjecture,
% 1.32/0.82 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.32/0.82 thf(zf_stmt_11, negated_conjecture,
% 1.32/0.82 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.32/0.82 thf(zip_derived_cl19, plain,
% 1.32/0.82 ((((inverse @ sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.32/0.82 thf(zip_derived_cl175, plain,
% 1.32/0.82 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.32/0.82 = (sk_c5))
% 1.32/0.82 | ((inverse @ sk_c3) = (sk_c7))
% 1.32/0.82 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl19])).
% 1.32/0.82 thf(zip_derived_cl2, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.82 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl188, plain,
% 1.32/0.82 ((((identity) = (sk_c5))
% 1.32/0.82 | ((inverse @ sk_c3) = (sk_c7))
% 1.32/0.82 | ((inverse @ sk_c3) = (sk_c7)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl175, zip_derived_cl2, zip_derived_cl0,
% 1.32/0.82 zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl189, plain,
% 1.32/0.82 ((((inverse @ sk_c3) = (sk_c7)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl188])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl195, plain,
% 1.32/0.82 ((((multiply @ sk_c7 @ sk_c3) = (identity)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl189, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl286, plain,
% 1.32/0.82 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.32/0.82 | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl67])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl518, plain,
% 1.32/0.82 ((((sk_c3) = (inverse @ sk_c7)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl489])).
% 1.32/0.82 thf(prove_this_23, conjecture,
% 1.32/0.82 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.32/0.82 thf(zf_stmt_12, negated_conjecture,
% 1.32/0.82 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.32/0.82 thf(zip_derived_cl25, plain,
% 1.32/0.82 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.32/0.82 thf(zip_derived_cl533, plain,
% 1.32/0.82 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl489, zip_derived_cl81])).
% 1.32/0.82 thf(zip_derived_cl557, plain,
% 1.32/0.82 ((((sk_c2) = (inverse @ sk_c6)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl533])).
% 1.32/0.82 thf(prove_this_18, conjecture,
% 1.32/0.82 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.32/0.82 thf(zf_stmt_13, negated_conjecture,
% 1.32/0.82 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.32/0.82 thf(zip_derived_cl20, plain,
% 1.32/0.82 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.32/0.82 thf(zip_derived_cl935, plain,
% 1.32/0.82 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl557, zip_derived_cl20])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl951, plain,
% 1.32/0.82 ((((identity) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl935, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl952, plain,
% 1.32/0.82 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl951])).
% 1.32/0.82 thf(zip_derived_cl1055, plain,
% 1.32/0.82 ((((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7))
% 1.32/0.82 | ((identity) = (sk_c5))
% 1.32/0.82 | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl518, zip_derived_cl952])).
% 1.32/0.82 thf(zip_derived_cl1058, plain,
% 1.32/0.82 ((((identity) = (sk_c5))
% 1.32/0.82 | ((multiply @ (inverse @ sk_c7) @ sk_c6) = (sk_c7)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1055])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl80, plain,
% 1.32/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl67])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl113, plain,
% 1.32/0.82 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl67])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl476, plain, (((inverse @ identity) = (identity))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl1268, plain,
% 1.32/0.82 ((((identity) = (sk_c5)) | ((sk_c6) = (identity)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1058, zip_derived_cl1197, zip_derived_cl476,
% 1.32/0.82 zip_derived_cl0, zip_derived_cl1197])).
% 1.32/0.82 thf(prove_this_21, conjecture,
% 1.32/0.82 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c2 ) = ( sk_c6 ) ) ))).
% 1.32/0.82 thf(zf_stmt_14, negated_conjecture,
% 1.32/0.82 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.32/0.82 ( ( inverse @ sk_c2 ) = ( sk_c6 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.32/0.82 thf(zip_derived_cl23, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c6)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl39, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c2) = (identity))
% 1.32/0.82 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl23, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl67, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl49, zip_derived_cl0])).
% 1.32/0.82 thf(zip_derived_cl88, plain,
% 1.32/0.82 ((((sk_c2) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.32/0.82 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl67])).
% 1.32/0.82 thf(prove_this_16, conjecture,
% 1.32/0.82 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 1.32/0.82 thf(zf_stmt_15, negated_conjecture,
% 1.32/0.82 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.32/0.82 ( ( multiply @ sk_c2 @ sk_c6 ) = ( sk_c5 ) )),
% 1.32/0.82 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.32/0.82 thf(zip_derived_cl18, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c2 @ sk_c6) = (sk_c5)))),
% 1.32/0.82 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.32/0.82 thf(zip_derived_cl235, plain,
% 1.32/0.82 ((((multiply @ (multiply @ (inverse @ sk_c6) @ identity) @ sk_c6)
% 1.32/0.82 = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl88, zip_derived_cl18])).
% 1.32/0.82 thf(zip_derived_cl2, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.82 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.82 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.82 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.82 thf(zip_derived_cl0, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.82 thf(zip_derived_cl1, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.82 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.82 thf(zip_derived_cl248, plain,
% 1.32/0.82 ((((identity) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 1.32/0.82 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl235, zip_derived_cl2, zip_derived_cl0,
% 1.32/0.82 zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl249, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 1.32/0.82 thf(zip_derived_cl258, plain,
% 1.32/0.82 ((((multiply @ sk_c6 @ sk_c7) != (identity)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('eq_fact', [status(thm)], [zip_derived_cl249])).
% 1.32/0.82 thf(zip_derived_cl1197, plain, (((sk_c7) = (identity))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1195])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl1245, plain,
% 1.32/0.82 ((((sk_c6) != (identity)) | ((identity) = (sk_c5)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl258, zip_derived_cl1197, zip_derived_cl489])).
% 1.32/0.82 thf(zip_derived_cl1298, plain, (((identity) = (sk_c5))),
% 1.32/0.82 inference('clc', [status(thm)], [zip_derived_cl1268, zip_derived_cl1245])).
% 1.32/0.82 thf(zip_derived_cl1299, plain, (((sk_c6) = (identity))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1199, zip_derived_cl1298])).
% 1.32/0.82 thf(zip_derived_cl476, plain, (((inverse @ identity) = (identity))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl1299, plain, (((sk_c6) = (identity))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1199, zip_derived_cl1298])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl1299, plain, (((sk_c6) = (identity))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1199, zip_derived_cl1298])).
% 1.32/0.82 thf(zip_derived_cl1299, plain, (((sk_c6) = (identity))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1199, zip_derived_cl1298])).
% 1.32/0.82 thf(zip_derived_cl1299, plain, (((sk_c6) = (identity))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1199, zip_derived_cl1298])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl1299, plain, (((sk_c6) = (identity))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1199, zip_derived_cl1298])).
% 1.32/0.82 thf(zip_derived_cl489, plain,
% 1.32/0.82 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 1.32/0.82 thf(zip_derived_cl1299, plain, (((sk_c6) = (identity))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1199, zip_derived_cl1298])).
% 1.32/0.82 thf(zip_derived_cl1304, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.82 (((identity) != (identity))
% 1.32/0.82 | ((X0) != (identity))
% 1.32/0.82 | ((inverse @ X0) != (identity))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((X1) != (identity))
% 1.32/0.82 | ((X2) != (identity))
% 1.32/0.82 | ((inverse @ X2) != (identity)))),
% 1.32/0.82 inference('demod', [status(thm)],
% 1.32/0.82 [zip_derived_cl1279, zip_derived_cl1299, zip_derived_cl476,
% 1.32/0.82 zip_derived_cl1299, zip_derived_cl489, zip_derived_cl1299,
% 1.32/0.82 zip_derived_cl1299, zip_derived_cl1299, zip_derived_cl489,
% 1.32/0.82 zip_derived_cl1299, zip_derived_cl489, zip_derived_cl1299])).
% 1.32/0.82 thf(zip_derived_cl1305, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.82 (((inverse @ X2) != (identity))
% 1.32/0.82 | ((X2) != (identity))
% 1.32/0.82 | ((X1) != (identity))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((inverse @ X0) != (identity))
% 1.32/0.82 | ((X0) != (identity)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1304])).
% 1.32/0.82 thf(zip_derived_cl1311, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 (((X0) != (identity))
% 1.32/0.82 | ((inverse @ X0) != (identity))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((X1) != (identity))
% 1.32/0.82 | ((inverse @ identity) != (identity)))),
% 1.32/0.82 inference('eq_res', [status(thm)], [zip_derived_cl1305])).
% 1.32/0.82 thf(zip_derived_cl476, plain, (((inverse @ identity) = (identity))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl1312, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 (((X0) != (identity))
% 1.32/0.82 | ((inverse @ X0) != (identity))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((X1) != (identity))
% 1.32/0.82 | ((identity) != (identity)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl1311, zip_derived_cl476])).
% 1.32/0.82 thf(zip_derived_cl1313, plain,
% 1.32/0.82 (![X0 : $i, X1 : $i]:
% 1.32/0.82 (((X1) != (identity))
% 1.32/0.82 | ((inverse @ X1) != (identity))
% 1.32/0.82 | ((inverse @ X0) != (identity))
% 1.32/0.82 | ((X0) != (identity)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1312])).
% 1.32/0.82 thf(zip_derived_cl1314, plain,
% 1.32/0.82 (![X0 : $i]:
% 1.32/0.82 (((X0) != (identity))
% 1.32/0.82 | ((inverse @ X0) != (identity))
% 1.32/0.82 | ((inverse @ identity) != (identity)))),
% 1.32/0.82 inference('eq_res', [status(thm)], [zip_derived_cl1313])).
% 1.32/0.82 thf(zip_derived_cl476, plain, (((inverse @ identity) = (identity))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl1315, plain,
% 1.32/0.82 (![X0 : $i]:
% 1.32/0.82 (((X0) != (identity))
% 1.32/0.82 | ((inverse @ X0) != (identity))
% 1.32/0.82 | ((identity) != (identity)))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl1314, zip_derived_cl476])).
% 1.32/0.82 thf(zip_derived_cl1316, plain,
% 1.32/0.82 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1315])).
% 1.32/0.82 thf(zip_derived_cl1317, plain, (((inverse @ identity) != (identity))),
% 1.32/0.82 inference('eq_res', [status(thm)], [zip_derived_cl1316])).
% 1.32/0.82 thf(zip_derived_cl476, plain, (((inverse @ identity) = (identity))),
% 1.32/0.82 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 1.32/0.82 thf(zip_derived_cl1318, plain, (((identity) != (identity))),
% 1.32/0.82 inference('demod', [status(thm)], [zip_derived_cl1317, zip_derived_cl476])).
% 1.32/0.82 thf(zip_derived_cl1319, plain, ($false),
% 1.32/0.82 inference('simplify', [status(thm)], [zip_derived_cl1318])).
% 1.32/0.82
% 1.32/0.82 % SZS output end Refutation
% 1.32/0.82
% 1.32/0.82
% 1.32/0.82 % Terminating...
% 1.54/0.91 % Runner terminated.
% 1.54/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------