TSTP Solution File: GRP233-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP233-1 : 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.lQ3Ys2ZanR true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:50:50 EDT 2023
% Result : Unsatisfiable 0.57s 0.88s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP233-1 : 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.lQ3Ys2ZanR true
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 00:11:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /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
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.88 % Solved by fo/fo7.sh.
% 0.57/0.88 % done 281 iterations in 0.092s
% 0.57/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.88 % SZS output start Refutation
% 0.57/0.88 thf(sk_c3_type, type, sk_c3: $i).
% 0.57/0.88 thf(sk_c4_type, type, sk_c4: $i).
% 0.57/0.88 thf(sk_c1_type, type, sk_c1: $i).
% 0.57/0.88 thf(sk_c5_type, type, sk_c5: $i).
% 0.57/0.88 thf(identity_type, type, identity: $i).
% 0.57/0.88 thf(multiply_type, type, multiply: $i > $i > $i).
% 0.57/0.88 thf(sk_c7_type, type, sk_c7: $i).
% 0.57/0.88 thf(inverse_type, type, inverse: $i > $i).
% 0.57/0.88 thf(sk_c6_type, type, sk_c6: $i).
% 0.57/0.88 thf(sk_c2_type, type, sk_c2: $i).
% 0.57/0.88 thf(sk_c8_type, type, sk_c8: $i).
% 0.57/0.88 thf(prove_this_31, conjecture,
% 0.57/0.88 (~( ( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.57/0.88 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.57/0.88 ( ( inverse @ X1 ) != ( sk_c8 ) ) |
% 0.57/0.88 ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 0.57/0.88 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c8 ) != ( sk_c7 ) ) ))).
% 0.57/0.88 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.88 (( ( inverse @ X3 ) != ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ X3 @ sk_c8 ) != ( X2 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ X2 ) != ( sk_c7 ) ) |
% 0.57/0.88 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c8 ) ) |
% 0.57/0.88 ( ( inverse @ X1 ) != ( sk_c8 ) ) | ( ( inverse @ X6 ) != ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ X6 @ sk_c8 ) != ( X5 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ X5 ) != ( sk_c7 ) ) |
% 0.57/0.88 ( ( inverse @ X4 ) != ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ X4 @ sk_c8 ) != ( sk_c7 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c8 ) != ( sk_c7 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 0.57/0.88 thf(zip_derived_cl33, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.88 (((inverse @ X0) != (sk_c8))
% 0.57/0.88 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.57/0.88 | ((multiply @ sk_c8 @ X1) != (sk_c7))
% 0.57/0.88 | ((multiply @ X2 @ sk_c7) != (sk_c8))
% 0.57/0.88 | ((inverse @ X2) != (sk_c8))
% 0.57/0.88 | ((inverse @ X3) != (sk_c8))
% 0.57/0.88 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.57/0.88 | ((multiply @ sk_c8 @ X4) != (sk_c7))
% 0.57/0.88 | ((inverse @ X5) != (sk_c8))
% 0.57/0.88 | ((multiply @ X5 @ sk_c8) != (sk_c7))
% 0.57/0.88 | ((inverse @ sk_c8) != (sk_c7)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.88 thf(zip_derived_cl34, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.88 (((inverse @ X0) != (sk_c8))
% 0.57/0.88 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.57/0.88 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 0.57/0.88 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 0.57/0.88 | ((inverse @ X2) != (sk_c8))
% 0.57/0.88 | ((inverse @ X3) != (sk_c8))
% 0.57/0.88 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.57/0.88 | ((multiply @ sk_c8 @ X4) != (inverse @ sk_c8))
% 0.57/0.88 | ((inverse @ X5) != (sk_c8))
% 0.57/0.88 | ((multiply @ X5 @ sk_c8) != (inverse @ sk_c8))
% 0.57/0.88 | ((inverse @ sk_c8) != (sk_c7)))),
% 0.57/0.88 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 0.57/0.88 thf(prove_this_30, conjecture,
% 0.57/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.57/0.88 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.88 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 0.57/0.88 thf(zip_derived_cl32, plain,
% 0.57/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.88 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl40, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c2) = (identity))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(associativity, axiom,
% 0.57/0.88 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 0.57/0.88 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 0.57/0.88 thf(zip_derived_cl2, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.88 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.88 thf(zip_derived_cl50, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((multiply @ identity @ X0)
% 0.57/0.88 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 0.57/0.88 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl89, plain,
% 0.57/0.88 ((((sk_c2) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl67])).
% 0.57/0.88 thf(prove_this_25, conjecture,
% 0.57/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 0.57/0.88 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.88 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 0.57/0.88 thf(zip_derived_cl27, plain,
% 0.57/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.88 thf(zip_derived_cl222, plain,
% 0.57/0.88 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.57/0.88 = (sk_c3))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl89, zip_derived_cl27])).
% 0.57/0.88 thf(zip_derived_cl2, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.88 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl231, plain,
% 0.57/0.88 ((((identity) = (sk_c3))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl222, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.88 zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl232, plain,
% 0.57/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c3)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl231])).
% 0.57/0.88 thf(prove_this_20, conjecture,
% 0.57/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.57/0.88 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.88 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 0.57/0.88 thf(zip_derived_cl22, plain,
% 0.57/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.88 thf(zip_derived_cl237, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl232, zip_derived_cl22])).
% 0.57/0.88 thf(zip_derived_cl240, plain,
% 0.57/0.88 ((((inverse @ sk_c5) = (sk_c8))
% 0.57/0.88 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl237])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl79, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.57/0.88 thf(zip_derived_cl345, plain,
% 0.57/0.88 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.88 | ((multiply @ sk_c8 @ identity) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl240, zip_derived_cl79])).
% 0.57/0.88 thf(zip_derived_cl79, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl76, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl67])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl479, plain,
% 0.57/0.88 ((((sk_c5) = (inverse @ sk_c8)) | ((sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl345, zip_derived_cl442, zip_derived_cl442])).
% 0.57/0.88 thf(prove_this_29, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.57/0.88 thf(zf_stmt_4, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 0.57/0.88 thf(zip_derived_cl31, plain,
% 0.57/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl79, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl67])).
% 0.57/0.88 thf(zip_derived_cl485, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl442, zip_derived_cl79])).
% 0.57/0.88 thf(zip_derived_cl602, plain,
% 0.57/0.88 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl485])).
% 0.57/0.88 thf(prove_this_24, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 0.57/0.88 thf(zf_stmt_5, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 0.57/0.88 thf(zip_derived_cl26, plain,
% 0.57/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.88 thf(zip_derived_cl959, plain,
% 0.57/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c3))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl602, zip_derived_cl26])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl971, plain,
% 0.57/0.88 ((((identity) = (sk_c3))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl959, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl972, plain,
% 0.57/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c3)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl971])).
% 0.57/0.88 thf(prove_this_19, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.57/0.88 thf(zf_stmt_6, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 0.57/0.88 thf(zip_derived_cl21, plain,
% 0.57/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.88 thf(zip_derived_cl985, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl972, zip_derived_cl21])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl994, plain,
% 0.57/0.88 ((((sk_c8) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl985, zip_derived_cl442])).
% 0.57/0.88 thf(zip_derived_cl995, plain,
% 0.57/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl994])).
% 0.57/0.88 thf(zip_derived_cl1230, plain,
% 0.57/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((sk_c8) = (sk_c7))
% 0.57/0.88 | ((sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl479, zip_derived_cl995])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl1233, plain,
% 0.57/0.88 ((((identity) = (sk_c6)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl1230, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl1234, plain,
% 0.57/0.88 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1233])).
% 0.57/0.88 thf(prove_this_28, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c2 ) = ( sk_c8 ) ) ))).
% 0.57/0.88 thf(zf_stmt_7, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c2 ) = ( sk_c8 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 0.57/0.88 thf(zip_derived_cl30, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c8)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.88 thf(zip_derived_cl485, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl442, zip_derived_cl79])).
% 0.57/0.88 thf(zip_derived_cl601, plain,
% 0.57/0.88 ((((sk_c2) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl485])).
% 0.57/0.88 thf(prove_this_23, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) ) ))).
% 0.57/0.88 thf(zf_stmt_8, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c2 @ sk_c8 ) = ( sk_c3 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 0.57/0.88 thf(zip_derived_cl25, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c2 @ sk_c8) = (sk_c3)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.88 thf(zip_derived_cl917, plain,
% 0.57/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c3))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl601, zip_derived_cl25])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl929, plain,
% 0.57/0.88 ((((identity) = (sk_c3))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl917, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl930, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c3)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl929])).
% 0.57/0.88 thf(prove_this_18, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) ) ))).
% 0.57/0.88 thf(zf_stmt_9, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c8 @ sk_c3 ) = ( sk_c7 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 0.57/0.88 thf(zip_derived_cl20, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c3) = (sk_c7)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/0.88 thf(zip_derived_cl943, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl930, zip_derived_cl20])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl952, plain,
% 0.57/0.88 ((((sk_c8) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl943, zip_derived_cl442])).
% 0.57/0.88 thf(zip_derived_cl953, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl952])).
% 0.57/0.88 thf(zip_derived_cl1242, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.57/0.88 | ((sk_c8) = (sk_c7))
% 0.57/0.88 | ((sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1234, zip_derived_cl953])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl1250, plain,
% 0.57/0.88 ((((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl1242, zip_derived_cl442])).
% 0.57/0.88 thf(zip_derived_cl1251, plain, (((sk_c8) = (sk_c7))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1250])).
% 0.57/0.88 thf(zip_derived_cl1274, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.88 (((inverse @ X0) != (sk_c8))
% 0.57/0.88 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.57/0.88 | ((multiply @ sk_c8 @ X1) != (inverse @ sk_c8))
% 0.57/0.88 | ((multiply @ X2 @ (inverse @ sk_c8)) != (sk_c8))
% 0.57/0.88 | ((inverse @ X2) != (sk_c8))
% 0.57/0.88 | ((inverse @ X3) != (sk_c8))
% 0.57/0.88 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.57/0.88 | ((multiply @ sk_c8 @ X4) != (inverse @ sk_c8))
% 0.57/0.88 | ((inverse @ X5) != (sk_c8))
% 0.57/0.88 | ((multiply @ X5 @ sk_c8) != (inverse @ sk_c8))
% 0.57/0.88 | ((inverse @ sk_c8) != (sk_c8)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl1251])).
% 0.57/0.88 thf(zip_derived_cl1275, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.88 (((inverse @ X0) != (sk_c8))
% 0.57/0.88 | ((multiply @ X0 @ sk_c8) != (X1))
% 0.57/0.88 | ((multiply @ sk_c8 @ X1) != (sk_c8))
% 0.57/0.88 | ((multiply @ X2 @ sk_c8) != (sk_c8))
% 0.57/0.88 | ((inverse @ X2) != (sk_c8))
% 0.57/0.88 | ((inverse @ X3) != (sk_c8))
% 0.57/0.88 | ((multiply @ X3 @ sk_c8) != (X4))
% 0.57/0.88 | ((multiply @ sk_c8 @ X4) != (sk_c8))
% 0.57/0.88 | ((inverse @ X5) != (sk_c8))
% 0.57/0.88 | ((multiply @ X5 @ sk_c8) != (sk_c8))
% 0.57/0.88 | ((inverse @ sk_c8) != (sk_c8)))),
% 0.57/0.88 inference('local_rewriting', [status(thm)], [zip_derived_cl1274])).
% 0.57/0.88 thf(prove_this_11, conjecture,
% 0.57/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.57/0.88 thf(zf_stmt_10, negated_conjecture,
% 0.57/0.88 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 0.57/0.88 thf(zip_derived_cl13, plain,
% 0.57/0.88 ((((inverse @ sk_c4) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl37, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.57/0.88 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl84, plain,
% 0.57/0.88 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.88 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl67])).
% 0.57/0.88 thf(prove_this_6, conjecture,
% 0.57/0.88 (~( ( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.88 thf(zf_stmt_11, negated_conjecture,
% 0.57/0.88 (( ( inverse @ sk_c4 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 0.57/0.88 thf(zip_derived_cl8, plain,
% 0.57/0.88 ((((inverse @ sk_c4) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.57/0.88 thf(zip_derived_cl143, plain,
% 0.57/0.88 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.57/0.88 = (sk_c7))
% 0.57/0.88 | ((inverse @ sk_c4) = (sk_c8))
% 0.57/0.88 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl8])).
% 0.57/0.88 thf(zip_derived_cl2, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.88 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl155, plain,
% 0.57/0.88 ((((identity) = (sk_c7))
% 0.57/0.88 | ((inverse @ sk_c4) = (sk_c8))
% 0.57/0.88 | ((inverse @ sk_c4) = (sk_c8)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl143, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.88 zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl156, plain,
% 0.57/0.88 ((((inverse @ sk_c4) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl155])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl163, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c4) = (identity)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl246, plain,
% 0.57/0.88 ((((sk_c4) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.88 | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl67])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl475, plain,
% 0.57/0.88 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl442])).
% 0.57/0.88 thf(zip_derived_cl1251, plain, (((sk_c8) = (sk_c7))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1250])).
% 0.57/0.88 thf(zip_derived_cl1295, plain,
% 0.57/0.88 ((((sk_c4) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl475, zip_derived_cl1251])).
% 0.57/0.88 thf(prove_this_15, conjecture,
% 0.57/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.57/0.88 thf(zf_stmt_12, negated_conjecture,
% 0.57/0.88 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 0.57/0.88 thf(zip_derived_cl17, plain,
% 0.57/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl38, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c1) = (identity))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl85, plain,
% 0.57/0.88 ((((sk_c1) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl38, zip_derived_cl67])).
% 0.57/0.88 thf(prove_this_10, conjecture,
% 0.57/0.88 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.88 thf(zf_stmt_13, negated_conjecture,
% 0.57/0.88 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 0.57/0.88 thf(zip_derived_cl12, plain,
% 0.57/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.57/0.88 thf(zip_derived_cl170, plain,
% 0.57/0.88 ((((multiply @ (multiply @ (inverse @ sk_c8) @ identity) @ sk_c8)
% 0.57/0.88 = (sk_c7))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl12])).
% 0.57/0.88 thf(zip_derived_cl2, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.88 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 0.57/0.88 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 0.57/0.88 inference('cnf', [status(esa)], [associativity])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl182, plain,
% 0.57/0.88 ((((identity) = (sk_c7))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8))
% 0.57/0.88 | ((inverse @ sk_c5) = (sk_c8)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl170, zip_derived_cl2, zip_derived_cl0,
% 0.57/0.88 zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl183, plain,
% 0.57/0.88 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl182])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl186, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c5) = (identity)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl258, plain,
% 0.57/0.88 ((((sk_c5) = (multiply @ (inverse @ sk_c8) @ identity))
% 0.57/0.88 | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl67])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl477, plain,
% 0.57/0.88 ((((sk_c5) = (inverse @ sk_c8)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl258, zip_derived_cl442])).
% 0.57/0.88 thf(prove_this_14, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.57/0.88 thf(zf_stmt_14, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 0.57/0.88 thf(zip_derived_cl16, plain,
% 0.57/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.57/0.88 thf(zip_derived_cl485, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl442, zip_derived_cl79])).
% 0.57/0.88 thf(zip_derived_cl597, plain,
% 0.57/0.88 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl485])).
% 0.57/0.88 thf(prove_this_9, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.88 thf(zf_stmt_15, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c6 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 0.57/0.88 thf(zip_derived_cl11, plain,
% 0.57/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.57/0.88 thf(zip_derived_cl816, plain,
% 0.57/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl597, zip_derived_cl11])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl831, plain,
% 0.57/0.88 ((((identity) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((multiply @ sk_c5 @ sk_c8) = (sk_c6)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl816, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl832, plain,
% 0.57/0.88 ((((multiply @ sk_c5 @ sk_c8) = (sk_c6)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl831])).
% 0.57/0.88 thf(zip_derived_cl849, plain,
% 0.57/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c6))
% 0.57/0.88 | ((identity) = (sk_c7))
% 0.57/0.88 | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl477, zip_derived_cl832])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl852, plain,
% 0.57/0.88 ((((identity) = (sk_c6))
% 0.57/0.88 | ((identity) = (sk_c7))
% 0.57/0.88 | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl849, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl853, plain,
% 0.57/0.88 ((((identity) = (sk_c7)) | ((identity) = (sk_c6)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl852])).
% 0.57/0.88 thf(prove_this_13, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.57/0.88 thf(zf_stmt_16, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 0.57/0.88 thf(zip_derived_cl15, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.57/0.88 thf(zip_derived_cl485, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl442, zip_derived_cl79])).
% 0.57/0.88 thf(zip_derived_cl596, plain,
% 0.57/0.88 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl485])).
% 0.57/0.88 thf(prove_this_8, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.88 thf(zf_stmt_17, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c8 @ sk_c6 ) = ( sk_c7 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 0.57/0.88 thf(zip_derived_cl10, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.57/0.88 thf(zip_derived_cl782, plain,
% 0.57/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl596, zip_derived_cl10])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl797, plain,
% 0.57/0.88 ((((identity) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c8 @ sk_c6) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl782, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl798, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl797])).
% 0.57/0.88 thf(zip_derived_cl1127, plain,
% 0.57/0.88 ((((multiply @ sk_c8 @ identity) = (sk_c7))
% 0.57/0.88 | ((identity) = (sk_c7))
% 0.57/0.88 | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl853, zip_derived_cl798])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl1129, plain,
% 0.57/0.88 ((((sk_c8) = (sk_c7)) | ((identity) = (sk_c7)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl1127, zip_derived_cl442])).
% 0.57/0.88 thf(zip_derived_cl1130, plain,
% 0.57/0.88 ((((identity) = (sk_c7)) | ((sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1129])).
% 0.57/0.88 thf(prove_this_12, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) ) ))).
% 0.57/0.88 thf(zf_stmt_18, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( inverse @ sk_c1 ) = ( sk_c8 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 0.57/0.88 thf(zip_derived_cl14, plain,
% 0.57/0.88 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c8)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.57/0.88 thf(zip_derived_cl485, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl442, zip_derived_cl79])).
% 0.57/0.88 thf(zip_derived_cl595, plain,
% 0.57/0.88 ((((sk_c1) = (inverse @ sk_c8)) | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl485])).
% 0.57/0.88 thf(prove_this_7, conjecture,
% 0.57/0.88 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) ) ))).
% 0.57/0.88 thf(zf_stmt_19, negated_conjecture,
% 0.57/0.88 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c8 ) ) |
% 0.57/0.88 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c7 ) )),
% 0.57/0.88 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 0.57/0.88 thf(zip_derived_cl9, plain,
% 0.57/0.88 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 0.57/0.88 | ((multiply @ sk_c1 @ sk_c8) = (sk_c7)))),
% 0.57/0.88 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.57/0.88 thf(zip_derived_cl748, plain,
% 0.57/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 0.57/0.88 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl595, zip_derived_cl9])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl763, plain,
% 0.57/0.88 ((((identity) = (sk_c7))
% 0.57/0.88 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8))
% 0.57/0.88 | ((multiply @ sk_c4 @ sk_c7) = (sk_c8)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl748, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl764, plain,
% 0.57/0.88 ((((multiply @ sk_c4 @ sk_c7) = (sk_c8)) | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl763])).
% 0.57/0.88 thf(zip_derived_cl1134, plain,
% 0.57/0.88 ((((multiply @ sk_c4 @ sk_c8) = (sk_c8))
% 0.57/0.88 | ((identity) = (sk_c7))
% 0.57/0.88 | ((identity) = (sk_c7)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1130, zip_derived_cl764])).
% 0.57/0.88 thf(zip_derived_cl1137, plain,
% 0.57/0.88 ((((identity) = (sk_c7)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1134])).
% 0.57/0.88 thf(zip_derived_cl1251, plain, (((sk_c8) = (sk_c7))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1250])).
% 0.57/0.88 thf(zip_derived_cl1350, plain,
% 0.57/0.88 ((((identity) = (sk_c8)) | ((multiply @ sk_c4 @ sk_c8) = (sk_c8)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1137, zip_derived_cl1251])).
% 0.57/0.88 thf(zip_derived_cl1354, plain,
% 0.57/0.88 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c8))
% 0.57/0.88 | ((identity) = (sk_c8))
% 0.57/0.88 | ((identity) = (sk_c8)))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl1295, zip_derived_cl1350])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl1357, plain,
% 0.57/0.88 ((((identity) = (sk_c8))
% 0.57/0.88 | ((identity) = (sk_c8))
% 0.57/0.88 | ((identity) = (sk_c8)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl1354, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl442, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl79, zip_derived_cl76])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl0, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_identity])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl78, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl67])).
% 0.57/0.88 thf(zip_derived_cl67, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 0.57/0.88 thf(zip_derived_cl110, plain,
% 0.57/0.88 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl67])).
% 0.57/0.88 thf(zip_derived_cl1, plain,
% 0.57/0.88 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 0.57/0.88 inference('cnf', [status(esa)], [left_inverse])).
% 0.57/0.88 thf(zip_derived_cl429, plain, (((inverse @ identity) = (identity))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl1358, plain, (((identity) = (sk_c8))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1357])).
% 0.57/0.88 thf(zip_derived_cl1387, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.88 (((inverse @ X0) != (identity))
% 0.57/0.88 | ((X0) != (X1))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((X2) != (identity))
% 0.57/0.88 | ((inverse @ X2) != (identity))
% 0.57/0.88 | ((inverse @ X3) != (identity))
% 0.57/0.88 | ((X3) != (X4))
% 0.57/0.88 | ((X4) != (identity))
% 0.57/0.88 | ((inverse @ X5) != (identity))
% 0.57/0.88 | ((X5) != (identity))
% 0.57/0.88 | ((identity) != (identity)))),
% 0.57/0.88 inference('demod', [status(thm)],
% 0.57/0.88 [zip_derived_cl1275, zip_derived_cl1358, zip_derived_cl1358,
% 0.57/0.88 zip_derived_cl442, zip_derived_cl1358, zip_derived_cl0,
% 0.57/0.88 zip_derived_cl1358, zip_derived_cl1358, zip_derived_cl442,
% 0.57/0.88 zip_derived_cl1358, zip_derived_cl1358, zip_derived_cl1358,
% 0.57/0.88 zip_derived_cl1358, zip_derived_cl442, zip_derived_cl1358,
% 0.57/0.88 zip_derived_cl0, zip_derived_cl1358, zip_derived_cl1358,
% 0.57/0.88 zip_derived_cl1358, zip_derived_cl442, zip_derived_cl1358,
% 0.57/0.88 zip_derived_cl1358, zip_derived_cl429, zip_derived_cl1358])).
% 0.57/0.88 thf(zip_derived_cl1388, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.88 (((X5) != (identity))
% 0.57/0.88 | ((inverse @ X5) != (identity))
% 0.57/0.88 | ((X4) != (identity))
% 0.57/0.88 | ((X3) != (X4))
% 0.57/0.88 | ((inverse @ X3) != (identity))
% 0.57/0.88 | ((inverse @ X2) != (identity))
% 0.57/0.88 | ((X2) != (identity))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((X0) != (X1))
% 0.57/0.88 | ((inverse @ X0) != (identity)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1387])).
% 0.57/0.88 thf(zip_derived_cl1399, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.88 (((inverse @ X0) != (identity))
% 0.57/0.88 | ((X0) != (X1))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((X2) != (identity))
% 0.57/0.88 | ((inverse @ X2) != (identity))
% 0.57/0.88 | ((inverse @ X3) != (identity))
% 0.57/0.88 | ((X3) != (identity))
% 0.57/0.88 | ((inverse @ X4) != (identity))
% 0.57/0.88 | ((X4) != (identity)))),
% 0.57/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1388])).
% 0.57/0.88 thf(zip_derived_cl1400, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.88 (((X0) != (identity))
% 0.57/0.88 | ((inverse @ X0) != (identity))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((inverse @ X1) != (identity))
% 0.57/0.88 | ((inverse @ X2) != (identity))
% 0.57/0.88 | ((X2) != (identity))
% 0.57/0.88 | ((X3) != (identity))
% 0.57/0.88 | ((inverse @ X3) != (identity)))),
% 0.57/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1399])).
% 0.57/0.88 thf(zip_derived_cl1401, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.88 (((inverse @ X0) != (identity))
% 0.57/0.88 | ((X0) != (identity))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((inverse @ X1) != (identity))
% 0.57/0.88 | ((inverse @ X2) != (identity))
% 0.57/0.88 | ((X2) != (identity))
% 0.57/0.88 | ((inverse @ identity) != (identity)))),
% 0.57/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1400])).
% 0.57/0.88 thf(zip_derived_cl429, plain, (((inverse @ identity) = (identity))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl1402, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.88 (((inverse @ X0) != (identity))
% 0.57/0.88 | ((X0) != (identity))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((inverse @ X1) != (identity))
% 0.57/0.88 | ((inverse @ X2) != (identity))
% 0.57/0.88 | ((X2) != (identity))
% 0.57/0.88 | ((identity) != (identity)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl1401, zip_derived_cl429])).
% 0.57/0.88 thf(zip_derived_cl1403, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.88 (((X2) != (identity))
% 0.57/0.88 | ((inverse @ X2) != (identity))
% 0.57/0.88 | ((inverse @ X1) != (identity))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((X0) != (identity))
% 0.57/0.88 | ((inverse @ X0) != (identity)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1402])).
% 0.57/0.88 thf(zip_derived_cl1404, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 (((inverse @ X0) != (identity))
% 0.57/0.88 | ((X0) != (identity))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((inverse @ X1) != (identity))
% 0.57/0.88 | ((inverse @ identity) != (identity)))),
% 0.57/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1403])).
% 0.57/0.88 thf(zip_derived_cl429, plain, (((inverse @ identity) = (identity))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl1405, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 (((inverse @ X0) != (identity))
% 0.57/0.88 | ((X0) != (identity))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((inverse @ X1) != (identity))
% 0.57/0.88 | ((identity) != (identity)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl1404, zip_derived_cl429])).
% 0.57/0.88 thf(zip_derived_cl1406, plain,
% 0.57/0.88 (![X0 : $i, X1 : $i]:
% 0.57/0.88 (((inverse @ X1) != (identity))
% 0.57/0.88 | ((X1) != (identity))
% 0.57/0.88 | ((X0) != (identity))
% 0.57/0.88 | ((inverse @ X0) != (identity)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1405])).
% 0.57/0.88 thf(zip_derived_cl1407, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 (((inverse @ X0) != (identity))
% 0.57/0.88 | ((X0) != (identity))
% 0.57/0.88 | ((inverse @ identity) != (identity)))),
% 0.57/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1406])).
% 0.57/0.88 thf(zip_derived_cl429, plain, (((inverse @ identity) = (identity))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl1408, plain,
% 0.57/0.88 (![X0 : $i]:
% 0.57/0.88 (((inverse @ X0) != (identity))
% 0.57/0.88 | ((X0) != (identity))
% 0.57/0.88 | ((identity) != (identity)))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl1407, zip_derived_cl429])).
% 0.57/0.88 thf(zip_derived_cl1409, plain,
% 0.57/0.88 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1408])).
% 0.57/0.88 thf(zip_derived_cl1419, plain, (((inverse @ identity) != (identity))),
% 0.57/0.88 inference('eq_res', [status(thm)], [zip_derived_cl1409])).
% 0.57/0.88 thf(zip_derived_cl429, plain, (((inverse @ identity) = (identity))),
% 0.57/0.88 inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl1])).
% 0.57/0.88 thf(zip_derived_cl1420, plain, (((identity) != (identity))),
% 0.57/0.88 inference('demod', [status(thm)], [zip_derived_cl1419, zip_derived_cl429])).
% 0.57/0.88 thf(zip_derived_cl1421, plain, ($false),
% 0.57/0.88 inference('simplify', [status(thm)], [zip_derived_cl1420])).
% 0.57/0.88
% 0.57/0.88 % SZS output end Refutation
% 0.57/0.88
% 0.57/0.88
% 0.57/0.88 % Terminating...
% 0.60/0.97 % Runner terminated.
% 0.60/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------