TSTP Solution File: GRP361-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP361-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QzOIHxgxMI true
% Computer : n004.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 01:51:21 EDT 2023
% Result : Unsatisfiable 0.58s 0.92s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP361-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QzOIHxgxMI true
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 20:19:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.92 % Solved by fo/fo7.sh.
% 0.58/0.92 % done 313 iterations in 0.133s
% 0.58/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.92 % SZS output start Refutation
% 0.58/0.92 thf(sk_c1_type, type, sk_c1: $i).
% 0.58/0.92 thf(sk_c7_type, type, sk_c7: $i).
% 0.58/0.92 thf(sk_c2_type, type, sk_c2: $i).
% 0.58/0.92 thf(sk_c4_type, type, sk_c4: $i).
% 0.58/0.92 thf(identity_type, type, identity: $i).
% 0.58/0.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.58/0.92 thf(sk_c5_type, type, sk_c5: $i).
% 0.58/0.92 thf(inverse_type, type, inverse: $i > $i).
% 0.58/0.92 thf(sk_c3_type, type, sk_c3: $i).
% 0.58/0.92 thf(sk_c6_type, type, sk_c6: $i).
% 0.58/0.92 thf(prove_this_31, conjecture,
% 0.58/0.92 (~( ( ( inverse @ X2 ) != ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ X2 @ sk_c5 ) != ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.58/0.92 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c5 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.58/0.92 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) ))).
% 0.58/0.92 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.92 (( ( inverse @ X2 ) != ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ X2 @ sk_c5 ) != ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.58/0.92 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c5 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.58/0.92 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ X4 @ sk_c7 ) != ( X3 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c7 @ X3 ) != ( sk_c6 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) != ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.58/0.92 thf(zip_derived_cl33, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (((inverse @ X0) != (sk_c5))
% 0.58/0.92 | ((multiply @ X0 @ sk_c5) != (sk_c7))
% 0.58/0.92 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.58/0.92 | ((inverse @ X1) != (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c5 @ sk_c7) != (sk_c6))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.58/0.92 | ((inverse @ X2) != (sk_c7))
% 0.58/0.92 | ((multiply @ X2 @ sk_c7) != (X3))
% 0.58/0.92 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 0.58/0.92 | ((inverse @ sk_c7) != (sk_c5))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.92 thf(zip_derived_cl34, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (((inverse @ X0) != (sk_c5))
% 0.58/0.92 | ((multiply @ X0 @ sk_c5) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((multiply @ X1 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((inverse @ X1) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((multiply @ sk_c5 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 0.58/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 0.58/0.92 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c5)) != (X3))
% 0.58/0.92 | ((multiply @ (multiply @ sk_c6 @ sk_c5) @ X3) != (sk_c6))
% 0.58/0.92 | ((inverse @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 0.58/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.58/0.92 thf(associativity, axiom,
% 0.58/0.92 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.58/0.92 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.58/0.92 thf(zip_derived_cl2, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.92 thf(zip_derived_cl47, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (((inverse @ X0) != (sk_c5))
% 0.58/0.92 | ((multiply @ X0 @ sk_c5) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((multiply @ X1 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((inverse @ X1) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((multiply @ sk_c5 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 0.58/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 0.58/0.92 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c5)) != (X3))
% 0.58/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c5 @ X3)) != (sk_c6))
% 0.58/0.92 | ((inverse @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl2])).
% 0.58/0.92 thf(prove_this_30, conjecture,
% 0.58/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.58/0.92 thf(zf_stmt_1, negated_conjecture,
% 0.58/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.58/0.92 thf(zip_derived_cl32, plain,
% 0.58/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.92 thf(prove_this_24, conjecture,
% 0.58/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 0.58/0.92 thf(zf_stmt_2, negated_conjecture,
% 0.58/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.58/0.92 thf(zip_derived_cl26, plain,
% 0.58/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/0.92 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl2, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.92 thf(zip_derived_cl51, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((multiply @ identity @ X0)
% 0.58/0.92 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.58/0.92 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl69, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl98, plain,
% 0.58/0.92 ((((sk_c7) = (multiply @ (inverse @ sk_c1) @ sk_c2))
% 0.58/0.92 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl69])).
% 0.58/0.92 thf(zip_derived_cl416, plain,
% 0.58/0.92 ((((sk_c7) = (multiply @ sk_c7 @ sk_c2))
% 0.58/0.92 | ((inverse @ sk_c4) = (sk_c5))
% 0.58/0.92 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl98])).
% 0.58/0.92 thf(zip_derived_cl421, plain,
% 0.58/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c2)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl416])).
% 0.58/0.92 thf(prove_this_18, conjecture,
% 0.58/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.58/0.92 thf(zf_stmt_3, negated_conjecture,
% 0.58/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.58/0.92 thf(zip_derived_cl20, plain,
% 0.58/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/0.92 thf(zip_derived_cl430, plain,
% 0.58/0.92 ((((sk_c7) = (sk_c6))
% 0.58/0.92 | ((inverse @ sk_c4) = (sk_c5))
% 0.58/0.92 | ((inverse @ sk_c4) = (sk_c5)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl421, zip_derived_cl20])).
% 0.58/0.92 thf(zip_derived_cl444, plain,
% 0.58/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c7) = (sk_c6)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl430])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl445, plain,
% 0.58/0.92 ((((multiply @ sk_c5 @ sk_c4) = (identity)) | ((sk_c7) = (sk_c6)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl444, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl69, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl508, plain,
% 0.58/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c5) @ identity))
% 0.58/0.92 | ((sk_c7) = (sk_c6)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl445, zip_derived_cl69])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl69, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl81, plain,
% 0.58/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 0.58/0.92 thf(zip_derived_cl69, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl69, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl78, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl69, zip_derived_cl69])).
% 0.58/0.92 thf(zip_derived_cl706, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/0.92 thf(zip_derived_cl740, plain,
% 0.58/0.92 ((((sk_c4) = (inverse @ sk_c5)) | ((sk_c7) = (sk_c6)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl508, zip_derived_cl706])).
% 0.58/0.92 thf(prove_this_29, conjecture,
% 0.58/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.58/0.92 thf(zf_stmt_4, negated_conjecture,
% 0.58/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.58/0.92 thf(zip_derived_cl31, plain,
% 0.58/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.58/0.92 thf(zip_derived_cl706, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/0.92 thf(zip_derived_cl81, plain,
% 0.58/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl69])).
% 0.58/0.92 thf(zip_derived_cl747, plain,
% 0.58/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl706, zip_derived_cl81])).
% 0.58/0.92 thf(zip_derived_cl928, plain,
% 0.58/0.92 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c4 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl747])).
% 0.58/0.92 thf(prove_this_23, conjecture,
% 0.58/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) ) ))).
% 0.58/0.92 thf(zf_stmt_5, negated_conjecture,
% 0.58/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c2 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.58/0.92 thf(zip_derived_cl25, plain,
% 0.58/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c1 @ sk_c7) = (sk_c2)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.58/0.92 thf(zip_derived_cl1312, plain,
% 0.58/0.92 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c2))
% 0.58/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl928, zip_derived_cl25])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl1328, plain,
% 0.58/0.92 ((((identity) = (sk_c2))
% 0.58/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl1312, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl1329, plain,
% 0.58/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7)) | ((identity) = (sk_c2)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl1328])).
% 0.58/0.92 thf(prove_this_17, conjecture,
% 0.58/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) ) ))).
% 0.58/0.92 thf(zf_stmt_6, negated_conjecture,
% 0.58/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c7 @ sk_c2 ) = ( sk_c6 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 0.58/0.92 thf(zip_derived_cl19, plain,
% 0.58/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c7 @ sk_c2) = (sk_c6)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.58/0.92 thf(zip_derived_cl1346, plain,
% 0.58/0.92 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 0.58/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl1329, zip_derived_cl19])).
% 0.58/0.92 thf(zip_derived_cl706, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/0.92 thf(zip_derived_cl1360, plain,
% 0.58/0.92 ((((sk_c7) = (sk_c6))
% 0.58/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c4 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl1346, zip_derived_cl706])).
% 0.58/0.92 thf(zip_derived_cl1361, plain,
% 0.58/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl1360])).
% 0.58/0.92 thf(zip_derived_cl1413, plain,
% 0.58/0.92 ((((multiply @ (inverse @ sk_c5) @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((sk_c7) = (sk_c6))
% 0.58/0.92 | ((sk_c7) = (sk_c6)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl740, zip_derived_cl1361])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl1417, plain,
% 0.58/0.92 ((((identity) = (sk_c7)) | ((sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl1413, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl1418, plain,
% 0.58/0.92 ((((sk_c7) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl1417])).
% 0.58/0.92 thf(prove_this_12, conjecture,
% 0.58/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.58/0.92 thf(zf_stmt_7, negated_conjecture,
% 0.58/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.58/0.92 thf(zip_derived_cl14, plain,
% 0.58/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl38, plain,
% 0.58/0.92 ((((multiply @ sk_c5 @ sk_c4) = (identity))
% 0.58/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl69, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl86, plain,
% 0.58/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c5) @ identity))
% 0.58/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl69])).
% 0.58/0.92 thf(prove_this_11, conjecture,
% 0.58/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.58/0.92 thf(zf_stmt_8, negated_conjecture,
% 0.58/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.58/0.92 thf(zip_derived_cl13, plain,
% 0.58/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.58/0.92 thf(zip_derived_cl242, plain,
% 0.58/0.92 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 0.58/0.92 = (sk_c7))
% 0.58/0.92 | ((inverse @ sk_c7) = (sk_c5))
% 0.58/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl86, zip_derived_cl13])).
% 0.58/0.92 thf(zip_derived_cl2, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl248, plain,
% 0.58/0.92 ((((identity) = (sk_c7))
% 0.58/0.92 | ((inverse @ sk_c7) = (sk_c5))
% 0.58/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl242, zip_derived_cl2, zip_derived_cl0,
% 0.58/0.92 zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl249, plain,
% 0.58/0.92 ((((inverse @ sk_c7) = (sk_c5)) | ((identity) = (sk_c7)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 0.58/0.92 thf(zip_derived_cl747, plain,
% 0.58/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl706, zip_derived_cl81])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl909, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl747, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl1038, plain,
% 0.58/0.92 ((((multiply @ sk_c7 @ sk_c5) = (identity)) | ((identity) = (sk_c7)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl249, zip_derived_cl909])).
% 0.58/0.92 thf(zip_derived_cl1454, plain,
% 0.58/0.92 ((((multiply @ sk_c6 @ sk_c5) = (identity))
% 0.58/0.92 | ((identity) = (sk_c7))
% 0.58/0.92 | ((identity) = (sk_c7)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl1418, zip_derived_cl1038])).
% 0.58/0.92 thf(zip_derived_cl1464, plain,
% 0.58/0.92 ((((identity) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c5) = (identity)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl1454])).
% 0.58/0.92 thf(prove_this_6, conjecture,
% 0.58/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 0.58/0.92 thf(zf_stmt_9, negated_conjecture,
% 0.58/0.92 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.58/0.92 thf(zip_derived_cl8, plain,
% 0.58/0.92 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl37, plain,
% 0.58/0.92 ((((multiply @ sk_c5 @ sk_c4) = (identity))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl69, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl85, plain,
% 0.58/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c5) @ identity))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl69])).
% 0.58/0.92 thf(prove_this_5, conjecture,
% 0.58/0.92 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 0.58/0.92 thf(zf_stmt_10, negated_conjecture,
% 0.58/0.92 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 0.58/0.92 thf(zip_derived_cl7, plain,
% 0.58/0.92 ((((multiply @ sk_c4 @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.58/0.92 thf(zip_derived_cl206, plain,
% 0.58/0.92 ((((multiply @ (multiply @ (inverse @ sk_c5) @ identity) @ sk_c5)
% 0.58/0.92 = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl7])).
% 0.58/0.92 thf(zip_derived_cl2, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.58/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.58/0.92 inference('cnf', [status(esa)], [associativity])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl213, plain,
% 0.58/0.92 ((((identity) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl206, zip_derived_cl2, zip_derived_cl0,
% 0.58/0.92 zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl214, plain,
% 0.58/0.92 ((((multiply @ sk_c6 @ sk_c5) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl213])).
% 0.58/0.92 thf(zip_derived_cl238, plain,
% 0.58/0.92 ((((multiply @ sk_c6 @ sk_c5) != (identity)) | ((identity) = (sk_c7)))),
% 0.58/0.92 inference('eq_fact', [status(thm)], [zip_derived_cl214])).
% 0.58/0.92 thf(zip_derived_cl1641, plain, (((identity) = (sk_c7))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl1679, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (((inverse @ X0) != (sk_c5))
% 0.58/0.92 | ((multiply @ X0 @ sk_c5) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((multiply @ X1 @ sk_c6) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((inverse @ X1) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((multiply @ sk_c5 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c6))
% 0.58/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 0.58/0.92 | ((inverse @ X2) != (multiply @ sk_c6 @ sk_c5))
% 0.58/0.92 | ((multiply @ X2 @ (multiply @ sk_c6 @ sk_c5)) != (X3))
% 0.58/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c5 @ X3)) != (sk_c6))
% 0.58/0.92 | ((inverse @ (multiply @ sk_c6 @ sk_c5)) != (sk_c5))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) != (identity)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl1641])).
% 0.58/0.92 thf(zip_derived_cl1680, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (((inverse @ X0) != (sk_c5))
% 0.58/0.92 | ((multiply @ X0 @ sk_c5) != (identity))
% 0.58/0.92 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((multiply @ sk_c5 @ identity) != (sk_c6))
% 0.58/0.92 | ((multiply @ sk_c6 @ identity) != (sk_c5))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((multiply @ X2 @ identity) != (X3))
% 0.58/0.92 | ((multiply @ sk_c6 @ (multiply @ sk_c5 @ X3)) != (sk_c6))
% 0.58/0.92 | ((inverse @ identity) != (sk_c5))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) != (identity)))),
% 0.58/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl1679])).
% 0.58/0.92 thf(zip_derived_cl1681, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (((inverse @ X0) != (inverse @ identity))
% 0.58/0.92 | ((multiply @ X0 @ (inverse @ identity)) != (identity))
% 0.58/0.92 | ((multiply @ X1 @ sk_c6) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((multiply @ (inverse @ identity) @ identity) != (sk_c6))
% 0.58/0.92 | ((multiply @ sk_c6 @ identity) != (sk_c5))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((multiply @ X2 @ identity) != (X3))
% 0.58/0.92 | ((multiply @ sk_c6 @ (multiply @ (inverse @ identity) @ X3))
% 0.58/0.92 != (sk_c6))
% 0.58/0.92 | ((inverse @ identity) != (sk_c5))
% 0.58/0.92 | ((multiply @ sk_c6 @ (inverse @ identity)) != (identity)))),
% 0.58/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl1680])).
% 0.58/0.92 thf(zip_derived_cl1682, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (((inverse @ X0) != (inverse @ identity))
% 0.58/0.92 | ((multiply @ X0 @ (inverse @ identity)) != (identity))
% 0.58/0.92 | ((multiply @ X1 @ (multiply @ (inverse @ identity) @ identity))
% 0.58/0.92 != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((multiply @ (inverse @ identity) @ identity) != (sk_c6))
% 0.58/0.92 | ((multiply @ (multiply @ (inverse @ identity) @ identity) @
% 0.58/0.92 identity) != (sk_c5))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((multiply @ X2 @ identity) != (X3))
% 0.58/0.92 | ((multiply @ (multiply @ (inverse @ identity) @ identity) @
% 0.58/0.92 (multiply @ (inverse @ identity) @ X3))
% 0.58/0.92 != (multiply @ (inverse @ identity) @ identity))
% 0.58/0.92 | ((inverse @ identity) != (sk_c5))
% 0.58/0.92 | ((multiply @ (multiply @ (inverse @ identity) @ identity) @
% 0.58/0.92 (inverse @ identity)) != (identity)))),
% 0.58/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl1681])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl69, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl80, plain,
% 0.58/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 0.58/0.92 thf(zip_derived_cl69, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl113, plain,
% 0.58/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl69])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl706, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl706, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl706, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl1683, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (((inverse @ X0) != (identity))
% 0.58/0.92 | ((X0) != (identity))
% 0.58/0.92 | ((X1) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((identity) != (sk_c6))
% 0.58/0.92 | ((identity) != (sk_c5))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((X2) != (X3))
% 0.58/0.92 | ((X3) != (identity))
% 0.58/0.92 | ((identity) != (sk_c5))
% 0.58/0.92 | ((identity) != (identity)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl1682, zip_derived_cl693, zip_derived_cl693,
% 0.58/0.92 zip_derived_cl706, zip_derived_cl693, zip_derived_cl0,
% 0.58/0.92 zip_derived_cl706, zip_derived_cl693, zip_derived_cl0,
% 0.58/0.92 zip_derived_cl693, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.92 zip_derived_cl706, zip_derived_cl693, zip_derived_cl0,
% 0.58/0.92 zip_derived_cl693, zip_derived_cl0, zip_derived_cl0,
% 0.58/0.92 zip_derived_cl693, zip_derived_cl0, zip_derived_cl693,
% 0.58/0.92 zip_derived_cl693, zip_derived_cl0, zip_derived_cl693,
% 0.58/0.92 zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl1684, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.92 (((X3) != (identity))
% 0.58/0.92 | ((X2) != (X3))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((identity) != (sk_c5))
% 0.58/0.92 | ((identity) != (sk_c6))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((X1) != (identity))
% 0.58/0.92 | ((X0) != (identity))
% 0.58/0.92 | ((inverse @ X0) != (identity)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl1683])).
% 0.58/0.92 thf(zip_derived_cl1726, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 (((inverse @ X0) != (identity))
% 0.58/0.92 | ((X0) != (identity))
% 0.58/0.92 | ((X1) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((identity) != (sk_c6))
% 0.58/0.92 | ((identity) != (sk_c5))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((X2) != (identity)))),
% 0.58/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1684])).
% 0.58/0.92 thf(prove_this_9, conjecture,
% 0.58/0.92 (~( ( ( inverse @ sk_c3 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.58/0.92 thf(zf_stmt_11, negated_conjecture,
% 0.58/0.92 (( ( inverse @ sk_c3 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.58/0.92 thf(zip_derived_cl11, plain,
% 0.58/0.92 ((((inverse @ sk_c3) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.58/0.92 thf(zip_derived_cl1, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 0.58/0.92 thf(zip_derived_cl36, plain,
% 0.58/0.92 ((((multiply @ sk_c7 @ sk_c3) = (identity))
% 0.58/0.92 | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl1641, plain, (((identity) = (sk_c7))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl1641, plain, (((identity) = (sk_c7))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl1673, plain,
% 0.58/0.92 ((((sk_c3) = (identity)) | ((identity) = (sk_c5)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl36, zip_derived_cl1641, zip_derived_cl0,
% 0.58/0.92 zip_derived_cl1641, zip_derived_cl693])).
% 0.58/0.92 thf(prove_this_10, conjecture,
% 0.58/0.92 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.58/0.92 thf(zf_stmt_12, negated_conjecture,
% 0.58/0.92 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.58/0.92 thf(zip_derived_cl12, plain,
% 0.58/0.92 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.58/0.92 thf(zip_derived_cl1641, plain, (((identity) = (sk_c7))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl1641, plain, (((identity) = (sk_c7))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl1651, plain,
% 0.58/0.92 ((((multiply @ sk_c3 @ sk_c6) = (identity)) | ((identity) = (sk_c5)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl12, zip_derived_cl1641, zip_derived_cl1641,
% 0.58/0.92 zip_derived_cl693])).
% 0.58/0.92 thf(zip_derived_cl1979, plain,
% 0.58/0.92 ((((multiply @ identity @ sk_c6) = (identity))
% 0.58/0.92 | ((identity) = (sk_c5))
% 0.58/0.92 | ((identity) = (sk_c5)))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl1673, zip_derived_cl1651])).
% 0.58/0.92 thf(zip_derived_cl0, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.58/0.92 inference('cnf', [status(esa)], [left_identity])).
% 0.58/0.92 thf(zip_derived_cl1982, plain,
% 0.58/0.92 ((((sk_c6) = (identity))
% 0.58/0.92 | ((identity) = (sk_c5))
% 0.58/0.92 | ((identity) = (sk_c5)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl1979, zip_derived_cl0])).
% 0.58/0.92 thf(zip_derived_cl1983, plain,
% 0.58/0.92 ((((identity) = (sk_c5)) | ((sk_c6) = (identity)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl1982])).
% 0.58/0.92 thf(prove_this_7, conjecture,
% 0.58/0.92 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.58/0.92 thf(zf_stmt_13, negated_conjecture,
% 0.58/0.92 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( inverse @ sk_c7 ) = ( sk_c5 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.58/0.92 thf(zip_derived_cl9, plain,
% 0.58/0.92 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c7) = (sk_c5)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.58/0.92 thf(zip_derived_cl1641, plain, (((identity) = (sk_c7))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl706, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/0.92 thf(zip_derived_cl1641, plain, (((identity) = (sk_c7))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl1648, plain,
% 0.58/0.92 ((((sk_c6) = (sk_c5)) | ((identity) = (sk_c5)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl9, zip_derived_cl1641, zip_derived_cl706,
% 0.58/0.92 zip_derived_cl1641, zip_derived_cl693])).
% 0.58/0.92 thf(zip_derived_cl1728, plain,
% 0.58/0.92 ((((sk_c6) != (identity)) | ((identity) = (sk_c5)))),
% 0.58/0.92 inference('eq_fact', [status(thm)], [zip_derived_cl1648])).
% 0.58/0.92 thf(zip_derived_cl1987, plain, (((identity) = (sk_c5))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1983, zip_derived_cl1728])).
% 0.58/0.92 thf(zip_derived_cl2013, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 (((inverse @ X0) != (identity))
% 0.58/0.92 | ((X0) != (identity))
% 0.58/0.92 | ((X1) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((identity) != (sk_c6))
% 0.58/0.92 | ((identity) != (identity))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((X2) != (identity)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl1726, zip_derived_cl1987])).
% 0.58/0.92 thf(zip_derived_cl2014, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 (((X2) != (identity))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((identity) != (sk_c6))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((X1) != (identity))
% 0.58/0.92 | ((X0) != (identity))
% 0.58/0.92 | ((inverse @ X0) != (identity)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl2013])).
% 0.58/0.92 thf(prove_this_1, conjecture,
% 0.58/0.92 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 0.58/0.92 thf(zf_stmt_14, negated_conjecture,
% 0.58/0.92 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.58/0.92 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 0.58/0.92 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.58/0.92 thf(zip_derived_cl3, plain,
% 0.58/0.92 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.58/0.92 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 0.58/0.92 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.58/0.92 thf(zip_derived_cl1641, plain, (((identity) = (sk_c7))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl706, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/0.92 thf(zip_derived_cl1641, plain, (((identity) = (sk_c7))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1464, zip_derived_cl238])).
% 0.58/0.92 thf(zip_derived_cl1642, plain,
% 0.58/0.92 ((((sk_c6) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c5) = (identity)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl3, zip_derived_cl1641, zip_derived_cl706,
% 0.58/0.92 zip_derived_cl1641])).
% 0.58/0.92 thf(zip_derived_cl1987, plain, (((identity) = (sk_c5))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1983, zip_derived_cl1728])).
% 0.58/0.92 thf(zip_derived_cl1987, plain, (((identity) = (sk_c5))),
% 0.58/0.92 inference('clc', [status(thm)], [zip_derived_cl1983, zip_derived_cl1728])).
% 0.58/0.92 thf(zip_derived_cl706, plain,
% 0.58/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl78])).
% 0.58/0.92 thf(zip_derived_cl1989, plain,
% 0.58/0.92 ((((sk_c6) = (identity)) | ((sk_c6) = (identity)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl1642, zip_derived_cl1987, zip_derived_cl1987,
% 0.58/0.92 zip_derived_cl706])).
% 0.58/0.92 thf(zip_derived_cl1990, plain, (((sk_c6) = (identity))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl1989])).
% 0.58/0.92 thf(zip_derived_cl2029, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 (((X2) != (identity))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((identity) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((X1) != (identity))
% 0.58/0.92 | ((X0) != (identity))
% 0.58/0.92 | ((inverse @ X0) != (identity)))),
% 0.58/0.92 inference('demod', [status(thm)],
% 0.58/0.92 [zip_derived_cl2014, zip_derived_cl1990])).
% 0.58/0.92 thf(zip_derived_cl2030, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.92 (((inverse @ X0) != (identity))
% 0.58/0.92 | ((X0) != (identity))
% 0.58/0.92 | ((X1) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((inverse @ X2) != (identity))
% 0.58/0.92 | ((X2) != (identity)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl2029])).
% 0.58/0.92 thf(zip_derived_cl2031, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 (((X0) != (identity))
% 0.58/0.92 | ((inverse @ X0) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((X1) != (identity))
% 0.58/0.92 | ((inverse @ identity) != (identity)))),
% 0.58/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2030])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl2032, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 (((X0) != (identity))
% 0.58/0.92 | ((inverse @ X0) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((X1) != (identity))
% 0.58/0.92 | ((identity) != (identity)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl2031, zip_derived_cl693])).
% 0.58/0.92 thf(zip_derived_cl2033, plain,
% 0.58/0.92 (![X0 : $i, X1 : $i]:
% 0.58/0.92 (((X1) != (identity))
% 0.58/0.92 | ((inverse @ X1) != (identity))
% 0.58/0.92 | ((inverse @ X0) != (identity))
% 0.58/0.92 | ((X0) != (identity)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl2032])).
% 0.58/0.92 thf(zip_derived_cl2067, plain,
% 0.58/0.92 (![X0 : $i]:
% 0.58/0.92 (((X0) != (identity))
% 0.58/0.92 | ((inverse @ X0) != (identity))
% 0.58/0.92 | ((inverse @ identity) != (identity)))),
% 0.58/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2033])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl2068, plain,
% 0.58/0.92 (![X0 : $i]:
% 0.58/0.92 (((X0) != (identity))
% 0.58/0.92 | ((inverse @ X0) != (identity))
% 0.58/0.92 | ((identity) != (identity)))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl2067, zip_derived_cl693])).
% 0.58/0.92 thf(zip_derived_cl2069, plain,
% 0.58/0.92 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl2068])).
% 0.58/0.92 thf(zip_derived_cl2070, plain, (((inverse @ identity) != (identity))),
% 0.58/0.92 inference('eq_res', [status(thm)], [zip_derived_cl2069])).
% 0.58/0.92 thf(zip_derived_cl693, plain, (((inverse @ identity) = (identity))),
% 0.58/0.92 inference('sup+', [status(thm)], [zip_derived_cl113, zip_derived_cl1])).
% 0.58/0.92 thf(zip_derived_cl2071, plain, (((identity) != (identity))),
% 0.58/0.92 inference('demod', [status(thm)], [zip_derived_cl2070, zip_derived_cl693])).
% 0.58/0.92 thf(zip_derived_cl2072, plain, ($false),
% 0.58/0.92 inference('simplify', [status(thm)], [zip_derived_cl2071])).
% 0.58/0.92
% 0.58/0.92 % SZS output end Refutation
% 0.58/0.92
% 0.58/0.92
% 0.58/0.93 % Terminating...
% 0.58/0.98 % Runner terminated.
% 0.58/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------