TSTP Solution File: GRP294-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP294-1 : 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.ScHw4eNGsg true
% Computer : n013.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 01:51:05 EDT 2023
% Result : Unsatisfiable 0.54s 0.89s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP294-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ScHw4eNGsg true
% 0.13/0.34 % Computer : n013.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 20:31:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.89 % Solved by fo/fo7.sh.
% 0.54/0.89 % done 507 iterations in 0.138s
% 0.54/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.89 % SZS output start Refutation
% 0.54/0.89 thf(sk_c2_type, type, sk_c2: $i).
% 0.54/0.89 thf(sk_c5_type, type, sk_c5: $i).
% 0.54/0.89 thf(sk_c1_type, type, sk_c1: $i).
% 0.54/0.89 thf(sk_c4_type, type, sk_c4: $i).
% 0.54/0.89 thf(identity_type, type, identity: $i).
% 0.54/0.89 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.54/0.89 thf(sk_c6_type, type, sk_c6: $i).
% 0.54/0.89 thf(inverse_type, type, inverse: $i > $i).
% 0.54/0.89 thf(sk_c3_type, type, sk_c3: $i).
% 0.54/0.89 thf(sk_c7_type, type, sk_c7: $i).
% 0.54/0.89 thf(prove_this_31, conjecture,
% 0.54/0.89 (~( ( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.54/0.89 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) ) ))).
% 0.54/0.89 thf(zf_stmt_0, negated_conjecture,
% 0.54/0.89 (( ( multiply @ X2 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ X2 ) != ( sk_c6 ) ) | ( ( inverse @ X1 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c6 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.54/0.89 ( ( inverse @ X4 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ X4 @ sk_c7 ) != ( sk_c5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ X3 ) != ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ X3 @ sk_c7 ) != ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c7 @ sk_c6 ) != ( sk_c5 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.54/0.89 thf(zip_derived_cl33, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((multiply @ X0 @ sk_c5) != (sk_c6))
% 0.54/0.89 | ((inverse @ X0) != (sk_c6))
% 0.54/0.89 | ((inverse @ X1) != (sk_c6))
% 0.54/0.89 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.54/0.89 | ((inverse @ X2) != (sk_c7))
% 0.54/0.89 | ((multiply @ X2 @ sk_c7) != (sk_c5))
% 0.54/0.89 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 0.54/0.89 | ((inverse @ X3) != (sk_c7))
% 0.54/0.89 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/0.89 thf(zip_derived_cl34, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((multiply @ X0 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.54/0.89 | ((inverse @ X0) != (sk_c6))
% 0.54/0.89 | ((inverse @ X1) != (sk_c6))
% 0.54/0.89 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c7) != (sk_c5))
% 0.54/0.89 | ((inverse @ X2) != (sk_c7))
% 0.54/0.89 | ((multiply @ X2 @ sk_c7) != (multiply @ sk_c7 @ sk_c6))
% 0.54/0.89 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c6)) != (sk_c6))
% 0.54/0.89 | ((inverse @ X3) != (sk_c7))
% 0.54/0.89 | ((multiply @ X3 @ sk_c7) != (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c7 @ sk_c6) != (sk_c5)))),
% 0.54/0.89 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.54/0.89 thf(prove_this_14, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_1, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.54/0.89 thf(zip_derived_cl16, plain,
% 0.54/0.89 ((((inverse @ sk_c4) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.54/0.89 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl43, plain,
% 0.54/0.89 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(associativity, axiom,
% 0.54/0.89 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.54/0.89 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl59, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((multiply @ identity @ X0)
% 0.54/0.89 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.54/0.89 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl97, plain,
% 0.54/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl78])).
% 0.54/0.89 thf(prove_this_9, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_2, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c4 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.54/0.89 thf(zip_derived_cl11, plain,
% 0.54/0.89 ((((inverse @ sk_c4) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/0.89 thf(zip_derived_cl162, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.89 = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl11])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl175, plain,
% 0.54/0.89 ((((identity) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c4) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl162, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl176, plain,
% 0.54/0.89 ((((inverse @ sk_c4) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl175])).
% 0.54/0.89 thf(prove_this_15, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_3, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.54/0.89 thf(zip_derived_cl17, plain,
% 0.54/0.89 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl92, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl401, plain,
% 0.54/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.89 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl92])).
% 0.54/0.89 thf(prove_this_10, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_4, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.54/0.89 thf(zip_derived_cl12, plain,
% 0.54/0.89 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/0.89 thf(zip_derived_cl433, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.89 = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl401, zip_derived_cl12])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl446, plain,
% 0.54/0.89 ((((identity) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c4 @ sk_c5) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl433, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl447, plain,
% 0.54/0.89 ((((multiply @ sk_c4 @ sk_c5) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl446])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl451, plain,
% 0.54/0.89 ((((sk_c5) = (multiply @ (inverse @ sk_c4) @ sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl447, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl1247, plain,
% 0.54/0.89 ((((sk_c5) = (multiply @ sk_c6 @ sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl176, zip_derived_cl451])).
% 0.54/0.89 thf(zip_derived_cl1253, plain,
% 0.54/0.89 ((((identity) = (sk_c6)) | ((sk_c5) = (multiply @ sk_c6 @ sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1247])).
% 0.54/0.89 thf(prove_this_11, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_5, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.54/0.89 thf(zip_derived_cl13, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl41, plain,
% 0.54/0.89 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl95, plain,
% 0.54/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl78])).
% 0.54/0.89 thf(prove_this_6, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_6, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.54/0.89 thf(zip_derived_cl8, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.54/0.89 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/0.89 thf(zip_derived_cl210, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.89 = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl8])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl223, plain,
% 0.54/0.89 ((((identity) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c7) = (sk_c5)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl210, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl224, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl223])).
% 0.54/0.89 thf(zip_derived_cl1289, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1253, zip_derived_cl224])).
% 0.54/0.89 thf(zip_derived_cl1297, plain,
% 0.54/0.89 ((((identity) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c6 @ sk_c7) = (multiply @ sk_c6 @ sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1289])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl1346, plain,
% 0.54/0.89 ((((sk_c6) = (multiply @ (inverse @ sk_c6) @ (multiply @ sk_c6 @ sk_c7)))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1297, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl1355, plain,
% 0.54/0.89 ((((sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1346, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl1379, plain,
% 0.54/0.89 ((((sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl1355])).
% 0.54/0.89 thf(prove_this_13, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_7, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.54/0.89 thf(zip_derived_cl15, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl42, plain,
% 0.54/0.89 ((((multiply @ sk_c7 @ sk_c1) = (identity))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl96, plain,
% 0.54/0.89 ((((sk_c1) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl78])).
% 0.54/0.89 thf(prove_this_8, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_8, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.54/0.89 thf(zip_derived_cl10, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.54/0.89 thf(zip_derived_cl140, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.89 = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl10])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl153, plain,
% 0.54/0.89 ((((identity) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl140, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl154, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c6)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl153])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl199, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c3) = (identity)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl154, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl314, plain,
% 0.54/0.89 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl199, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl92, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl89, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl513, plain,
% 0.54/0.89 ((((sk_c3) = (inverse @ sk_c6)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl314, zip_derived_cl482])).
% 0.54/0.89 thf(prove_this_12, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_9, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.54/0.89 thf(zip_derived_cl14, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl92, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl523, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl92])).
% 0.54/0.89 thf(zip_derived_cl745, plain,
% 0.54/0.89 ((((sk_c1) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl523])).
% 0.54/0.89 thf(prove_this_7, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) ) ))).
% 0.54/0.89 thf(zf_stmt_10, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c1 @ sk_c7 ) = ( sk_c6 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.54/0.89 thf(zip_derived_cl9, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c1 @ sk_c7) = (sk_c6)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.54/0.89 thf(zip_derived_cl951, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl745, zip_derived_cl9])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl966, plain,
% 0.54/0.89 ((((identity) = (sk_c6))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl951, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl967, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl966])).
% 0.54/0.89 thf(zip_derived_cl1046, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (sk_c7))
% 0.54/0.89 | ((identity) = (sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl513, zip_derived_cl967])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl1050, plain,
% 0.54/0.89 ((((identity) = (sk_c7))
% 0.54/0.89 | ((identity) = (sk_c6))
% 0.54/0.89 | ((identity) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl1046, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1051, plain,
% 0.54/0.89 ((((identity) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1050])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl1419, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((multiply @ X0 @ sk_c7) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (sk_c7))
% 0.54/0.89 | ((sk_c7) != (sk_c5))
% 0.54/0.89 | ((inverse @ X2) != (sk_c7))
% 0.54/0.89 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (sk_c7))
% 0.54/0.89 | ((multiply @ X3 @ sk_c7) != (identity))
% 0.54/0.89 | ((sk_c7) != (sk_c5)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl34, zip_derived_cl1389, zip_derived_cl482,
% 0.54/0.89 zip_derived_cl1389, zip_derived_cl1389, zip_derived_cl1389,
% 0.54/0.89 zip_derived_cl1389, zip_derived_cl482, zip_derived_cl1389,
% 0.54/0.89 zip_derived_cl0, zip_derived_cl1389, zip_derived_cl482,
% 0.54/0.89 zip_derived_cl1389, zip_derived_cl482, zip_derived_cl1389,
% 0.54/0.89 zip_derived_cl1389, zip_derived_cl1389, zip_derived_cl482])).
% 0.54/0.89 thf(zip_derived_cl1420, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((multiply @ X3 @ sk_c7) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.54/0.89 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.54/0.89 | ((inverse @ X2) != (sk_c7))
% 0.54/0.89 | ((sk_c7) != (sk_c5))
% 0.54/0.89 | ((X1) != (sk_c7))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1419])).
% 0.54/0.89 thf(prove_this_1, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) ) ))).
% 0.54/0.89 thf(zf_stmt_11, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c6 @ sk_c7 ) = ( sk_c5 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c7 @ sk_c6 ) = ( sk_c5 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 0.54/0.89 thf(zip_derived_cl3, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c7) = (sk_c5))
% 0.54/0.89 | ((multiply @ sk_c7 @ sk_c6) = (sk_c5)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl1390, plain, ((((sk_c7) = (sk_c5)) | ((sk_c7) = (sk_c5)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl3, zip_derived_cl1389, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1389, zip_derived_cl482])).
% 0.54/0.89 thf(zip_derived_cl1391, plain, (((sk_c7) = (sk_c5))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1390])).
% 0.54/0.89 thf(zip_derived_cl1479, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((multiply @ X3 @ sk_c7) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.54/0.89 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.54/0.89 | ((inverse @ X2) != (sk_c7))
% 0.54/0.89 | ((sk_c7) != (sk_c7))
% 0.54/0.89 | ((X1) != (sk_c7))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((multiply @ X0 @ sk_c7) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl1420, zip_derived_cl1391])).
% 0.54/0.89 thf(zip_derived_cl1480, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((multiply @ X0 @ sk_c7) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (sk_c7))
% 0.54/0.89 | ((inverse @ X2) != (sk_c7))
% 0.54/0.89 | ((multiply @ X2 @ sk_c7) != (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (sk_c7))
% 0.54/0.89 | ((multiply @ X3 @ sk_c7) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1479])).
% 0.54/0.89 thf(prove_this_27, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_12, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 0.54/0.89 thf(zip_derived_cl29, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.54/0.89 thf(zip_derived_cl523, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl92])).
% 0.54/0.89 thf(zip_derived_cl750, plain,
% 0.54/0.89 ((((sk_c2) = (inverse @ sk_c7)) | ((multiply @ sk_c3 @ sk_c6) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl523])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl1455, plain,
% 0.54/0.89 ((((sk_c2) = (inverse @ sk_c7)) | ((sk_c3) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl750, zip_derived_cl1389, zip_derived_cl482])).
% 0.54/0.89 thf(prove_this_22, conjecture,
% 0.54/0.89 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.54/0.89 thf(zf_stmt_13, negated_conjecture,
% 0.54/0.89 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 0.54/0.89 thf(zip_derived_cl24, plain,
% 0.54/0.89 ((((multiply @ sk_c3 @ sk_c6) = (sk_c7))
% 0.54/0.89 | ((multiply @ sk_c2 @ sk_c7) = (sk_c5)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl1391, plain, (((sk_c7) = (sk_c5))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1390])).
% 0.54/0.89 thf(zip_derived_cl2278, plain,
% 0.54/0.89 ((((sk_c3) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl24, zip_derived_cl1389, zip_derived_cl482,
% 0.54/0.89 zip_derived_cl1391])).
% 0.54/0.89 thf(zip_derived_cl2286, plain,
% 0.54/0.89 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c7))
% 0.54/0.89 | ((sk_c3) = (sk_c7))
% 0.54/0.89 | ((sk_c3) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl1455, zip_derived_cl2278])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl2290, plain,
% 0.54/0.89 ((((identity) = (sk_c7)) | ((sk_c3) = (sk_c7)) | ((sk_c3) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2286, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2291, plain,
% 0.54/0.89 ((((sk_c3) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2290])).
% 0.54/0.89 thf(prove_this_28, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 0.54/0.89 thf(zf_stmt_14, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.54/0.89 thf(zip_derived_cl30, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl45, plain,
% 0.54/0.89 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl99, plain,
% 0.54/0.89 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl78])).
% 0.54/0.89 thf(prove_this_23, conjecture,
% 0.54/0.89 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) ) ))).
% 0.54/0.89 thf(zf_stmt_15, negated_conjecture,
% 0.54/0.89 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 0.54/0.89 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c5 ) )),
% 0.54/0.89 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.54/0.89 thf(zip_derived_cl25, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c5)))),
% 0.54/0.89 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.54/0.89 thf(zip_derived_cl181, plain,
% 0.54/0.89 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 0.54/0.89 = (sk_c5))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl99, zip_derived_cl25])).
% 0.54/0.89 thf(zip_derived_cl2, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.54/0.89 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.54/0.89 inference('cnf', [status(esa)], [associativity])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl192, plain,
% 0.54/0.89 ((((identity) = (sk_c5))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6))
% 0.54/0.89 | ((inverse @ sk_c3) = (sk_c6)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl181, zip_derived_cl2, zip_derived_cl0,
% 0.54/0.89 zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl193, plain,
% 0.54/0.89 ((((inverse @ sk_c3) = (sk_c6)) | ((identity) = (sk_c5)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl192])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl197, plain,
% 0.54/0.89 ((((multiply @ sk_c6 @ sk_c3) = (identity)) | ((identity) = (sk_c5)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl193, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl1389, plain, (((identity) = (sk_c6))),
% 0.54/0.89 inference('clc', [status(thm)], [zip_derived_cl1379, zip_derived_cl1051])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl1433, plain,
% 0.54/0.89 ((((sk_c3) = (identity)) | ((identity) = (sk_c5)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl197, zip_derived_cl1389, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl1391, plain, (((sk_c7) = (sk_c5))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl1390])).
% 0.54/0.89 thf(zip_derived_cl1493, plain,
% 0.54/0.89 ((((sk_c3) = (identity)) | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl1433, zip_derived_cl1391])).
% 0.54/0.89 thf(zip_derived_cl2294, plain,
% 0.54/0.89 ((((sk_c7) = (identity))
% 0.54/0.89 | ((identity) = (sk_c7))
% 0.54/0.89 | ((identity) = (sk_c7)))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl2291, zip_derived_cl1493])).
% 0.54/0.89 thf(zip_derived_cl2303, plain, (((sk_c7) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2294])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl2303, plain, (((sk_c7) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2294])).
% 0.54/0.89 thf(zip_derived_cl2303, plain, (((sk_c7) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2294])).
% 0.54/0.89 thf(zip_derived_cl2303, plain, (((sk_c7) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2294])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl2303, plain, (((sk_c7) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2294])).
% 0.54/0.89 thf(zip_derived_cl2303, plain, (((sk_c7) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2294])).
% 0.54/0.89 thf(zip_derived_cl2303, plain, (((sk_c7) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2294])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl2303, plain, (((sk_c7) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2294])).
% 0.54/0.89 thf(zip_derived_cl2303, plain, (((sk_c7) = (identity))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2294])).
% 0.54/0.89 thf(zip_derived_cl482, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl89])).
% 0.54/0.89 thf(zip_derived_cl2334, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((identity) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((X3) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)],
% 0.54/0.89 [zip_derived_cl1480, zip_derived_cl2303, zip_derived_cl482,
% 0.54/0.89 zip_derived_cl2303, zip_derived_cl2303, zip_derived_cl2303,
% 0.54/0.89 zip_derived_cl482, zip_derived_cl2303, zip_derived_cl2303,
% 0.54/0.89 zip_derived_cl2303, zip_derived_cl0, zip_derived_cl2303,
% 0.54/0.89 zip_derived_cl2303, zip_derived_cl482])).
% 0.54/0.89 thf(zip_derived_cl2335, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/0.89 (((X3) != (identity))
% 0.54/0.89 | ((inverse @ X3) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2334])).
% 0.54/0.89 thf(zip_derived_cl2359, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((inverse @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2335])).
% 0.54/0.89 thf(zip_derived_cl0, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_identity])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl91, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl78, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 0.54/0.89 thf(zip_derived_cl127, plain,
% 0.54/0.89 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl78])).
% 0.54/0.89 thf(zip_derived_cl1, plain,
% 0.54/0.89 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.54/0.89 inference('cnf', [status(esa)], [left_inverse])).
% 0.54/0.89 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2360, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (identity))
% 0.54/0.89 | ((X2) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2359, zip_derived_cl469])).
% 0.54/0.89 thf(zip_derived_cl2361, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/0.89 (((X2) != (identity))
% 0.54/0.89 | ((inverse @ X2) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2360])).
% 0.54/0.89 thf(zip_derived_cl2362, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((inverse @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2361])).
% 0.54/0.89 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2363, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((X1) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2362, zip_derived_cl469])).
% 0.54/0.89 thf(zip_derived_cl2364, plain,
% 0.54/0.89 (![X0 : $i, X1 : $i]:
% 0.54/0.89 (((X1) != (identity))
% 0.54/0.89 | ((inverse @ X1) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2363])).
% 0.54/0.89 thf(zip_derived_cl2365, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((inverse @ identity) != (identity)))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2364])).
% 0.54/0.89 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2366, plain,
% 0.54/0.89 (![X0 : $i]:
% 0.54/0.89 (((X0) != (identity))
% 0.54/0.89 | ((inverse @ X0) != (identity))
% 0.54/0.89 | ((identity) != (identity)))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2365, zip_derived_cl469])).
% 0.54/0.89 thf(zip_derived_cl2367, plain,
% 0.54/0.89 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2366])).
% 0.54/0.89 thf(zip_derived_cl2368, plain, (((inverse @ identity) != (identity))),
% 0.54/0.89 inference('eq_res', [status(thm)], [zip_derived_cl2367])).
% 0.54/0.89 thf(zip_derived_cl469, plain, (((inverse @ identity) = (identity))),
% 0.54/0.89 inference('sup+', [status(thm)], [zip_derived_cl127, zip_derived_cl1])).
% 0.54/0.89 thf(zip_derived_cl2369, plain, (((identity) != (identity))),
% 0.54/0.89 inference('demod', [status(thm)], [zip_derived_cl2368, zip_derived_cl469])).
% 0.54/0.89 thf(zip_derived_cl2370, plain, ($false),
% 0.54/0.89 inference('simplify', [status(thm)], [zip_derived_cl2369])).
% 0.54/0.89
% 0.54/0.89 % SZS output end Refutation
% 0.54/0.89
% 0.54/0.89
% 0.54/0.89 % Terminating...
% 0.55/0.94 % Runner terminated.
% 0.55/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------