TSTP Solution File: GRP226-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP226-1 : 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.DGVfaB8q57 true
% Computer : n024.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 01:50:48 EDT 2023
% Result : Unsatisfiable 1.32s 0.92s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP226-1 : 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.DGVfaB8q57 true
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 02:02:38 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % Running portfolio for 300 s
% 0.19/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % 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
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.92 % Solved by fo/fo7.sh.
% 1.32/0.92 % done 313 iterations in 0.139s
% 1.32/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.92 % SZS output start Refutation
% 1.32/0.92 thf(sk_c2_type, type, sk_c2: $i).
% 1.32/0.92 thf(sk_c4_type, type, sk_c4: $i).
% 1.32/0.92 thf(sk_c3_type, type, sk_c3: $i).
% 1.32/0.92 thf(sk_c5_type, type, sk_c5: $i).
% 1.32/0.92 thf(identity_type, type, identity: $i).
% 1.32/0.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.32/0.92 thf(sk_c7_type, type, sk_c7: $i).
% 1.32/0.92 thf(inverse_type, type, inverse: $i > $i).
% 1.32/0.92 thf(sk_c6_type, type, sk_c6: $i).
% 1.32/0.92 thf(sk_c1_type, type, sk_c1: $i).
% 1.32/0.92 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(associativity, axiom,
% 1.32/0.92 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.32/0.92 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.32/0.92 thf(zip_derived_cl2, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.92 thf(zip_derived_cl104, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((multiply @ identity @ X0)
% 1.32/0.92 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.32/0.92 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl168, plain,
% 1.32/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl165, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl1150, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl165])).
% 1.32/0.92 thf(zip_derived_cl168, plain,
% 1.32/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl1170, plain,
% 1.32/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1150, zip_derived_cl168])).
% 1.32/0.92 thf(prove_this_21, conjecture,
% 1.32/0.92 (~( ( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.32/0.92 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ X5 @ sk_c7 ) != ( X4 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ X4 ) != ( sk_c6 ) ) |
% 1.32/0.92 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ X3 ) != ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_0, negated_conjecture,
% 1.32/0.92 (( ( inverse @ X2 ) != ( sk_c6 ) ) |
% 1.32/0.92 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ X1 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ X1 ) != ( sk_c7 ) ) | ( ( inverse @ X5 ) != ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ X5 @ sk_c7 ) != ( X4 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ X4 ) != ( sk_c6 ) ) |
% 1.32/0.92 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ X3 ) != ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.32/0.92 thf(zip_derived_cl23, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/0.92 (((inverse @ X0) != (sk_c6))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X1) != (sk_c7))
% 1.32/0.92 | ((inverse @ X2) != (sk_c7))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.32/0.92 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 1.32/0.92 | ((multiply @ X4 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X4) != (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/0.92 thf(prove_this_1, conjecture,
% 1.32/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_1, negated_conjecture,
% 1.32/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.32/0.92 thf(zip_derived_cl3, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.32/0.92 thf(prove_this_18, conjecture,
% 1.32/0.92 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_2, negated_conjecture,
% 1.32/0.92 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.32/0.92 thf(zip_derived_cl20, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl37, plain,
% 1.32/0.92 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl181, plain,
% 1.32/0.92 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl126])).
% 1.32/0.92 thf(prove_this_14, conjecture,
% 1.32/0.92 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) ) ))).
% 1.32/0.92 thf(zf_stmt_3, negated_conjecture,
% 1.32/0.92 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.32/0.92 thf(zip_derived_cl16, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c2 @ sk_c7) = (sk_c3)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.32/0.92 thf(zip_derived_cl475, plain,
% 1.32/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.32/0.92 = (sk_c3))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl181, zip_derived_cl16])).
% 1.32/0.92 thf(zip_derived_cl2, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl488, plain,
% 1.32/0.92 ((((identity) = (sk_c3))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl475, zip_derived_cl2, zip_derived_cl0,
% 1.32/0.92 zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl489, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl488])).
% 1.32/0.92 thf(prove_this_10, conjecture,
% 1.32/0.92 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.32/0.92 thf(zf_stmt_4, negated_conjecture,
% 1.32/0.92 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.32/0.92 thf(zip_derived_cl12, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ sk_c3) = (sk_c6)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.32/0.92 thf(zip_derived_cl496, plain,
% 1.32/0.92 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl489, zip_derived_cl12])).
% 1.32/0.92 thf(zip_derived_cl504, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl496])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl918, plain,
% 1.32/0.92 ((((sk_c6) = (multiply @ (inverse @ sk_c4) @ sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl504, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl955, plain,
% 1.32/0.92 ((((multiply @ (inverse @ sk_c4) @ sk_c7)
% 1.32/0.92 != (multiply @ sk_c7 @ identity))
% 1.32/0.92 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.32/0.92 inference('eq_fact', [status(thm)], [zip_derived_cl918])).
% 1.32/0.92 thf(zip_derived_cl961, plain,
% 1.32/0.92 ((((multiply @ sk_c7 @ sk_c7) != (multiply @ sk_c7 @ identity))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl955])).
% 1.32/0.92 thf(prove_this_4, conjecture,
% 1.32/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_5, negated_conjecture,
% 1.32/0.92 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.32/0.92 thf(zip_derived_cl6, plain,
% 1.32/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.32/0.92 thf(prove_this_3, conjecture,
% 1.32/0.92 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_6, negated_conjecture,
% 1.32/0.92 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.32/0.92 thf(zip_derived_cl5, plain,
% 1.32/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl188, plain,
% 1.32/0.92 ((((sk_c6) = (multiply @ (inverse @ sk_c5) @ sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl525, plain,
% 1.32/0.92 ((((sk_c6) = (multiply @ sk_c6 @ sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl188])).
% 1.32/0.92 thf(zip_derived_cl533, plain,
% 1.32/0.92 ((((inverse @ sk_c1) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c6 @ sk_c7)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl525])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl607, plain,
% 1.32/0.92 ((((sk_c7) = (multiply @ (inverse @ sk_c6) @ sk_c6))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl533, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl616, plain,
% 1.32/0.92 ((((sk_c7) = (identity)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl607, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl966, plain,
% 1.32/0.92 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl961, zip_derived_cl616])).
% 1.32/0.92 thf(zip_derived_cl3, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl28, plain,
% 1.32/0.92 ((((multiply @ sk_c7 @ sk_c4) = (identity))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl173, plain,
% 1.32/0.92 ((((sk_c4) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl126])).
% 1.32/0.92 thf(prove_this_2, conjecture,
% 1.32/0.92 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_7, negated_conjecture,
% 1.32/0.92 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.32/0.92 thf(zip_derived_cl4, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.32/0.92 thf(zip_derived_cl3, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.32/0.92 thf(zip_derived_cl3, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.32/0.92 thf(zip_derived_cl4, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.32/0.92 thf(zip_derived_cl3, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.32/0.92 thf(zip_derived_cl5, plain,
% 1.32/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.32/0.92 thf(zip_derived_cl6, plain,
% 1.32/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.32/0.92 thf(zip_derived_cl23, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/0.92 (((inverse @ X0) != (sk_c6))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ X1 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X1) != (sk_c7))
% 1.32/0.92 | ((inverse @ X2) != (sk_c7))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X3))
% 1.32/0.92 | ((multiply @ sk_c7 @ X3) != (sk_c6))
% 1.32/0.92 | ((multiply @ X4 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X4) != (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/0.92 thf(zip_derived_cl24, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.92 (((sk_c6) != (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X1))
% 1.32/0.92 | ((inverse @ X2) != (sk_c7))
% 1.32/0.92 | ((inverse @ X3) != (sk_c7))
% 1.32/0.92 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c5 @ sk_c6) != (sk_c7)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl23])).
% 1.32/0.92 thf(zip_derived_cl25, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.92 (((multiply @ sk_c5 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X3) != (sk_c7))
% 1.32/0.92 | ((inverse @ X2) != (sk_c7))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X1))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl24])).
% 1.32/0.92 thf(zip_derived_cl43, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.92 (((sk_c7) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X1))
% 1.32/0.92 | ((inverse @ X2) != (sk_c7))
% 1.32/0.92 | ((inverse @ X3) != (sk_c7))
% 1.32/0.92 | ((multiply @ X3 @ sk_c6) != (sk_c7)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl25])).
% 1.32/0.92 thf(zip_derived_cl45, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.92 (((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X3) != (sk_c7))
% 1.32/0.92 | ((inverse @ X2) != (sk_c7))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X1))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl43])).
% 1.32/0.92 thf(zip_derived_cl47, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 (((sk_c7) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X1))
% 1.32/0.92 | ((inverse @ X2) != (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) != (sk_c7)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl45])).
% 1.32/0.92 thf(zip_derived_cl54, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 (((multiply @ sk_c4 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X2) != (sk_c7))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X1))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl47])).
% 1.32/0.92 thf(zip_derived_cl62, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 (((sk_c7) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X1))
% 1.32/0.92 | ((inverse @ X2) != (sk_c7)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl54])).
% 1.32/0.92 thf(zip_derived_cl64, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 (((inverse @ X2) != (sk_c7))
% 1.32/0.92 | ((multiply @ X2 @ sk_c7) != (X1))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl62])).
% 1.32/0.92 thf(zip_derived_cl66, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 (((sk_c7) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c7) != (X1)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl64])).
% 1.32/0.92 thf(zip_derived_cl73, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 (((multiply @ sk_c4 @ sk_c7) != (X1))
% 1.32/0.92 | ((multiply @ sk_c7 @ X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ X0) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl66])).
% 1.32/0.92 thf(zip_derived_cl81, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((sk_c7) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ X0) != (sk_c6))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c7) != (X0)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl73])).
% 1.32/0.92 thf(zip_derived_cl88, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((multiply @ sk_c4 @ sk_c7) != (X0))
% 1.32/0.92 | ((multiply @ sk_c7 @ X0) != (sk_c6))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c6) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl81])).
% 1.32/0.92 thf(zip_derived_cl96, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((sk_c7) != (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ X0) != (sk_c6))
% 1.32/0.92 | ((multiply @ sk_c4 @ sk_c7) != (X0)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl88])).
% 1.32/0.92 thf(zip_derived_cl98, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((multiply @ sk_c4 @ sk_c7) != (X0))
% 1.32/0.92 | ((multiply @ sk_c7 @ X0) != (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl96])).
% 1.32/0.92 thf(zip_derived_cl235, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.32/0.92 != (X0))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ X0) != (sk_c6)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl98])).
% 1.32/0.92 thf(zip_derived_cl2, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl239, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((identity) != (X0))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ X0) != (sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl235, zip_derived_cl2, zip_derived_cl0,
% 1.32/0.92 zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl240, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((multiply @ sk_c7 @ X0) != (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((identity) != (X0)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl239])).
% 1.32/0.92 thf(zip_derived_cl241, plain,
% 1.32/0.92 ((((inverse @ sk_c1) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ identity) != (sk_c6)))),
% 1.32/0.92 inference('eq_res', [status(thm)], [zip_derived_cl240])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl984, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/0.92 (((inverse @ X0) != (sk_c6))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X1 @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X2) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X2 @ (inverse @ sk_c1)) != (X3))
% 1.32/0.92 | ((multiply @ (inverse @ sk_c1) @ X3) != (sk_c6))
% 1.32/0.92 | ((multiply @ X4 @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X4) != (inverse @ sk_c1)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl23, zip_derived_cl967, zip_derived_cl967,
% 1.32/0.92 zip_derived_cl967, zip_derived_cl967, zip_derived_cl967,
% 1.32/0.92 zip_derived_cl967, zip_derived_cl967, zip_derived_cl967])).
% 1.32/0.92 thf(zip_derived_cl1218, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.32/0.92 (((X0) != (sk_c6))
% 1.32/0.92 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X1 @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ (inverse @ sk_c1) @ X2) != (sk_c6))
% 1.32/0.92 | ((multiply @ X3 @ (inverse @ sk_c1)) != (X2))
% 1.32/0.92 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X4) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X4 @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ (inverse @ X0) @ sk_c6) != (inverse @ sk_c1)))),
% 1.32/0.92 inference('sup-', [status(thm)], [zip_derived_cl1170, zip_derived_cl984])).
% 1.32/0.92 thf(zip_derived_cl1227, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.92 (((multiply @ (inverse @ sk_c6) @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X1 @ (inverse @ sk_c1)) != (X2))
% 1.32/0.92 | ((multiply @ (inverse @ sk_c1) @ X2) != (sk_c6))
% 1.32/0.92 | ((multiply @ X3 @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X3) != (inverse @ sk_c1)))),
% 1.32/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1218])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl1228, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.92 (((identity) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X1) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X1 @ (inverse @ sk_c1)) != (X2))
% 1.32/0.92 | ((multiply @ (inverse @ sk_c1) @ X2) != (sk_c6))
% 1.32/0.92 | ((multiply @ X3 @ sk_c6) != (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ X3) != (inverse @ sk_c1)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl1227, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl1229, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.92 (((identity) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.92 | ((inverse @ X0) != (identity))
% 1.32/0.92 | ((inverse @ X1) != (identity))
% 1.32/0.92 | ((multiply @ X1 @ identity) != (X2))
% 1.32/0.92 | ((multiply @ identity @ X2) != (sk_c6))
% 1.32/0.92 | ((multiply @ X3 @ sk_c6) != (identity))
% 1.32/0.92 | ((inverse @ X3) != (identity)))),
% 1.32/0.92 inference('local_rewriting', [status(thm)], [zip_derived_cl1228])).
% 1.32/0.92 thf(zip_derived_cl1150, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl165])).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl1230, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.32/0.92 (((identity) != (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.92 | ((inverse @ X0) != (identity))
% 1.32/0.92 | ((inverse @ X1) != (identity))
% 1.32/0.92 | ((X1) != (X2))
% 1.32/0.92 | ((X2) != (sk_c6))
% 1.32/0.92 | ((multiply @ X3 @ sk_c6) != (identity))
% 1.32/0.92 | ((inverse @ X3) != (identity)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl1229, zip_derived_cl1150, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl1231, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 (((inverse @ X0) != (identity))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.92 | ((X1) != (sk_c6))
% 1.32/0.92 | ((inverse @ X1) != (identity))
% 1.32/0.92 | ((inverse @ X2) != (identity))
% 1.32/0.92 | ((multiply @ X2 @ sk_c6) != (identity))
% 1.32/0.92 | ((identity) != (inverse @ sk_c1)))),
% 1.32/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1230])).
% 1.32/0.92 thf(prove_this_16, conjecture,
% 1.32/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) ) ))).
% 1.32/0.92 thf(zf_stmt_8, negated_conjecture,
% 1.32/0.92 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.32/0.92 thf(zip_derived_cl18, plain,
% 1.32/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c3)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.32/0.92 thf(prove_this_20, conjecture,
% 1.32/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_9, negated_conjecture,
% 1.32/0.92 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.32/0.92 thf(zip_derived_cl22, plain,
% 1.32/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl31, plain,
% 1.32/0.92 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 1.32/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl2, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.92 thf(zip_derived_cl112, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((multiply @ identity @ X0)
% 1.32/0.92 = (multiply @ sk_c7 @ (multiply @ sk_c2 @ X0)))
% 1.32/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl2])).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl129, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((X0) = (multiply @ sk_c7 @ (multiply @ sk_c2 @ X0)))
% 1.32/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl144, plain,
% 1.32/0.92 ((((sk_c7) = (multiply @ sk_c7 @ sk_c3))
% 1.32/0.92 | ((inverse @ sk_c5) = (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl129])).
% 1.32/0.92 thf(zip_derived_cl145, plain,
% 1.32/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c3)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl144])).
% 1.32/0.92 thf(prove_this_12, conjecture,
% 1.32/0.92 (~( ( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.32/0.92 thf(zf_stmt_10, negated_conjecture,
% 1.32/0.92 (( ( inverse @ sk_c5 ) = ( sk_c6 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.32/0.92 thf(zip_derived_cl14, plain,
% 1.32/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((multiply @ sk_c7 @ sk_c3) = (sk_c6)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.32/0.92 thf(zip_derived_cl151, plain,
% 1.32/0.92 ((((sk_c7) = (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c5) = (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c5) = (sk_c6)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl14])).
% 1.32/0.92 thf(zip_derived_cl152, plain,
% 1.32/0.92 ((((inverse @ sk_c5) = (sk_c6)) | ((sk_c7) = (sk_c6)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl151])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl153, plain,
% 1.32/0.92 ((((multiply @ sk_c6 @ sk_c5) = (identity)) | ((sk_c7) = (sk_c6)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl187, plain,
% 1.32/0.92 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.32/0.92 | ((sk_c7) = (sk_c6)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl153, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl1006, plain,
% 1.32/0.92 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl187, zip_derived_cl967])).
% 1.32/0.92 thf(zip_derived_cl1150, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl165])).
% 1.32/0.92 thf(zip_derived_cl1158, plain,
% 1.32/0.92 ((((sk_c5) = (inverse @ sk_c6)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl1006, zip_derived_cl1150])).
% 1.32/0.92 thf(prove_this_19, conjecture,
% 1.32/0.92 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_11, negated_conjecture,
% 1.32/0.92 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.32/0.92 thf(zip_derived_cl21, plain,
% 1.32/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl40, plain,
% 1.32/0.92 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 1.32/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl182, plain,
% 1.32/0.92 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.32/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl126])).
% 1.32/0.92 thf(prove_this_15, conjecture,
% 1.32/0.92 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) ) ))).
% 1.32/0.92 thf(zf_stmt_12, negated_conjecture,
% 1.32/0.92 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.32/0.92 thf(zip_derived_cl17, plain,
% 1.32/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c2 @ sk_c7) = (sk_c3)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.32/0.92 thf(zip_derived_cl537, plain,
% 1.32/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.32/0.92 = (sk_c3))
% 1.32/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl17])).
% 1.32/0.92 thf(zip_derived_cl2, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl550, plain,
% 1.32/0.92 ((((identity) = (sk_c3))
% 1.32/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl537, zip_derived_cl2, zip_derived_cl0,
% 1.32/0.92 zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl551, plain,
% 1.32/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl550])).
% 1.32/0.92 thf(prove_this_11, conjecture,
% 1.32/0.92 (~( ( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.32/0.92 thf(zf_stmt_13, negated_conjecture,
% 1.32/0.92 (( ( multiply @ sk_c5 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.32/0.92 thf(zip_derived_cl13, plain,
% 1.32/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ sk_c3) = (sk_c6)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.32/0.92 thf(zip_derived_cl558, plain,
% 1.32/0.92 ((((multiply @ sk_c7 @ identity) = (sk_c6))
% 1.32/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c5 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl551, zip_derived_cl13])).
% 1.32/0.92 thf(zip_derived_cl565, plain,
% 1.32/0.92 ((((multiply @ sk_c5 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c7 @ identity) = (sk_c6)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl558])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl1115, plain,
% 1.32/0.92 ((((multiply @ sk_c5 @ sk_c6) = (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ (inverse @ sk_c1) @ identity) = (sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl565, zip_derived_cl967, zip_derived_cl967])).
% 1.32/0.92 thf(zip_derived_cl1150, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl165])).
% 1.32/0.92 thf(zip_derived_cl1164, plain,
% 1.32/0.92 ((((multiply @ sk_c5 @ sk_c6) = (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl1115, zip_derived_cl1150])).
% 1.32/0.92 thf(zip_derived_cl1258, plain,
% 1.32/0.92 ((((multiply @ (inverse @ sk_c6) @ sk_c6) = (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1158, zip_derived_cl1164])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl1260, plain,
% 1.32/0.92 ((((identity) = (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c1) = (sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl1258, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl1261, plain,
% 1.32/0.92 ((((inverse @ sk_c1) = (sk_c6)) | ((identity) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1260])).
% 1.32/0.92 thf(prove_this_17, conjecture,
% 1.32/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_14, negated_conjecture,
% 1.32/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.32/0.92 thf(zip_derived_cl19, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl30, plain,
% 1.32/0.92 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl179, plain,
% 1.32/0.92 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl126])).
% 1.32/0.92 thf(prove_this_13, conjecture,
% 1.32/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) ) ))).
% 1.32/0.92 thf(zf_stmt_15, negated_conjecture,
% 1.32/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c3 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.32/0.92 thf(zip_derived_cl15, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c3)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.32/0.92 thf(zip_derived_cl354, plain,
% 1.32/0.92 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.32/0.92 = (sk_c3))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl15])).
% 1.32/0.92 thf(zip_derived_cl2, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.32/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.32/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl367, plain,
% 1.32/0.92 ((((identity) = (sk_c3))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl354, zip_derived_cl2, zip_derived_cl0,
% 1.32/0.92 zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl368, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((identity) = (sk_c3)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl367])).
% 1.32/0.92 thf(prove_this_9, conjecture,
% 1.32/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) ) ))).
% 1.32/0.92 thf(zf_stmt_16, negated_conjecture,
% 1.32/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c7 @ sk_c3 ) = ( sk_c6 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.32/0.92 thf(zip_derived_cl11, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c3) = (sk_c6)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl174, plain,
% 1.32/0.92 ((((sk_c3) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl380, plain,
% 1.32/0.92 ((((identity) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl368, zip_derived_cl174])).
% 1.32/0.92 thf(zip_derived_cl383, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7))
% 1.32/0.92 | ((identity) = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl380])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl1077, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (inverse @ sk_c1))
% 1.32/0.92 | ((identity) = (multiply @ (inverse @ (inverse @ sk_c1)) @ sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl383, zip_derived_cl967, zip_derived_cl967])).
% 1.32/0.92 thf(zip_derived_cl165, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl126, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl1151, plain,
% 1.32/0.92 ((((multiply @ sk_c1 @ sk_c6) = (identity))
% 1.32/0.92 | ((inverse @ sk_c4) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1077, zip_derived_cl165])).
% 1.32/0.92 thf(prove_this_5, conjecture,
% 1.32/0.92 (~( ( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_17, negated_conjecture,
% 1.32/0.92 (( ( inverse @ sk_c4 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.32/0.92 thf(zip_derived_cl7, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl968, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl7, zip_derived_cl967, zip_derived_cl967])).
% 1.32/0.92 thf(zip_derived_cl1209, plain,
% 1.32/0.92 ((((identity) = (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ sk_c4) = (inverse @ sk_c1))
% 1.32/0.92 | ((inverse @ sk_c4) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1151, zip_derived_cl968])).
% 1.32/0.92 thf(zip_derived_cl1214, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (inverse @ sk_c1))
% 1.32/0.92 | ((identity) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1209])).
% 1.32/0.92 thf(zip_derived_cl1170, plain,
% 1.32/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1150, zip_derived_cl168])).
% 1.32/0.92 thf(zip_derived_cl1244, plain,
% 1.32/0.92 ((((sk_c4) = (inverse @ (inverse @ sk_c1)))
% 1.32/0.92 | ((identity) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1214, zip_derived_cl1170])).
% 1.32/0.92 thf(zip_derived_cl1170, plain,
% 1.32/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1150, zip_derived_cl168])).
% 1.32/0.92 thf(zip_derived_cl1249, plain,
% 1.32/0.92 ((((sk_c4) = (sk_c1)) | ((identity) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl1244, zip_derived_cl1170])).
% 1.32/0.92 thf(prove_this_6, conjecture,
% 1.32/0.92 (~( ( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.32/0.92 thf(zf_stmt_18, negated_conjecture,
% 1.32/0.92 (( ( multiply @ sk_c4 @ sk_c6 ) = ( sk_c7 ) ) |
% 1.32/0.92 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.32/0.92 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.32/0.92 thf(zip_derived_cl8, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl969, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl8, zip_derived_cl967, zip_derived_cl967])).
% 1.32/0.92 thf(zip_derived_cl1363, plain,
% 1.32/0.92 ((((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1))
% 1.32/0.92 | ((identity) = (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1249, zip_derived_cl969])).
% 1.32/0.92 thf(zip_derived_cl1365, plain,
% 1.32/0.92 ((((identity) = (inverse @ sk_c1))
% 1.32/0.92 | ((multiply @ sk_c1 @ sk_c6) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1363])).
% 1.32/0.92 thf(zip_derived_cl1371, plain,
% 1.32/0.92 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (inverse @ sk_c1))
% 1.32/0.92 | ((identity) = (inverse @ sk_c1))
% 1.32/0.92 | ((identity) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1261, zip_derived_cl1365])).
% 1.32/0.92 thf(zip_derived_cl1170, plain,
% 1.32/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1150, zip_derived_cl168])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl1217, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl1170, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl1374, plain,
% 1.32/0.92 ((((identity) = (inverse @ sk_c1))
% 1.32/0.92 | ((identity) = (inverse @ sk_c1))
% 1.32/0.92 | ((identity) = (inverse @ sk_c1)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl1371, zip_derived_cl1217])).
% 1.32/0.92 thf(zip_derived_cl1375, plain, (((identity) = (inverse @ sk_c1))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.32/0.92 thf(zip_derived_cl1405, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 (((inverse @ X0) != (identity))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.92 | ((X1) != (sk_c6))
% 1.32/0.92 | ((inverse @ X1) != (identity))
% 1.32/0.92 | ((inverse @ X2) != (identity))
% 1.32/0.92 | ((multiply @ X2 @ sk_c6) != (identity))
% 1.32/0.92 | ((identity) != (identity)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl1231, zip_derived_cl1375])).
% 1.32/0.92 thf(zip_derived_cl1406, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.92 (((multiply @ X2 @ sk_c6) != (identity))
% 1.32/0.92 | ((inverse @ X2) != (identity))
% 1.32/0.92 | ((inverse @ X1) != (identity))
% 1.32/0.92 | ((X1) != (sk_c6))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.92 | ((inverse @ X0) != (identity)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1405])).
% 1.32/0.92 thf(zip_derived_cl1422, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 (((inverse @ X0) != (identity))
% 1.32/0.92 | ((multiply @ X0 @ sk_c6) != (identity))
% 1.32/0.92 | ((inverse @ sk_c6) != (identity))
% 1.32/0.92 | ((inverse @ X1) != (identity))
% 1.32/0.92 | ((multiply @ X1 @ sk_c6) != (identity)))),
% 1.32/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1406])).
% 1.32/0.92 thf(zip_derived_cl19, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.32/0.92 thf(zip_derived_cl15, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c2 @ sk_c7) = (sk_c3)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl190, plain,
% 1.32/0.92 ((((sk_c7) = (multiply @ (inverse @ sk_c2) @ sk_c3))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl718, plain,
% 1.32/0.92 ((((sk_c7) = (multiply @ sk_c7 @ sk_c3))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl190])).
% 1.32/0.92 thf(zip_derived_cl728, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((sk_c7) = (multiply @ sk_c7 @ sk_c3)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl718])).
% 1.32/0.92 thf(zip_derived_cl11, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c3) = (sk_c6)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.32/0.92 thf(zip_derived_cl732, plain,
% 1.32/0.92 ((((sk_c7) = (sk_c6))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7))
% 1.32/0.92 | ((inverse @ sk_c4) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl728, zip_derived_cl11])).
% 1.32/0.92 thf(zip_derived_cl748, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (sk_c7)) | ((sk_c7) = (sk_c6)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl732])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl1029, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (inverse @ sk_c1)) | ((inverse @ sk_c1) = (sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl748, zip_derived_cl967, zip_derived_cl967])).
% 1.32/0.92 thf(zip_derived_cl1375, plain, (((identity) = (inverse @ sk_c1))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.32/0.92 thf(zip_derived_cl1375, plain, (((identity) = (inverse @ sk_c1))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.32/0.92 thf(zip_derived_cl1395, plain,
% 1.32/0.92 ((((inverse @ sk_c4) = (identity)) | ((identity) = (sk_c6)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl1029, zip_derived_cl1375, zip_derived_cl1375])).
% 1.32/0.92 thf(zip_derived_cl8, plain,
% 1.32/0.92 ((((multiply @ sk_c4 @ sk_c6) = (sk_c7))
% 1.32/0.92 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl184, plain,
% 1.32/0.92 ((((sk_c6) = (multiply @ (inverse @ sk_c4) @ sk_c7))
% 1.32/0.92 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl658, plain,
% 1.32/0.92 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 1.32/0.92 | ((sk_c6) = (multiply @ (inverse @ sk_c4) @ sk_c7)))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl682, plain,
% 1.32/0.92 ((((multiply @ (inverse @ sk_c4) @ sk_c7)
% 1.32/0.92 != (multiply @ (inverse @ sk_c1) @ sk_c7))
% 1.32/0.92 | ((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7)))),
% 1.32/0.92 inference('eq_fact', [status(thm)], [zip_derived_cl658])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl967, plain, (((inverse @ sk_c1) = (sk_c7))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl966, zip_derived_cl241])).
% 1.32/0.92 thf(zip_derived_cl1025, plain,
% 1.32/0.92 ((((multiply @ (inverse @ sk_c4) @ (inverse @ sk_c1))
% 1.32/0.92 != (multiply @ (inverse @ sk_c1) @ (inverse @ sk_c1)))
% 1.32/0.92 | ((sk_c6) = (multiply @ (inverse @ sk_c1) @ (inverse @ sk_c1))))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl682, zip_derived_cl967, zip_derived_cl967,
% 1.32/0.92 zip_derived_cl967])).
% 1.32/0.92 thf(zip_derived_cl1375, plain, (((identity) = (inverse @ sk_c1))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.32/0.92 thf(zip_derived_cl1150, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl165])).
% 1.32/0.92 thf(zip_derived_cl1375, plain, (((identity) = (inverse @ sk_c1))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.32/0.92 thf(zip_derived_cl1375, plain, (((identity) = (inverse @ sk_c1))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl1375, plain, (((identity) = (inverse @ sk_c1))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.32/0.92 thf(zip_derived_cl1375, plain, (((identity) = (inverse @ sk_c1))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1374])).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl1394, plain,
% 1.32/0.92 ((((inverse @ sk_c4) != (identity)) | ((sk_c6) = (identity)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl1025, zip_derived_cl1375, zip_derived_cl1150,
% 1.32/0.92 zip_derived_cl1375, zip_derived_cl1375, zip_derived_cl0,
% 1.32/0.92 zip_derived_cl1375, zip_derived_cl1375, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl1431, plain, (((identity) = (sk_c6))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl1395, zip_derived_cl1394])).
% 1.32/0.92 thf(zip_derived_cl1150, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl165])).
% 1.32/0.92 thf(zip_derived_cl1431, plain, (((identity) = (sk_c6))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl1395, zip_derived_cl1394])).
% 1.32/0.92 thf(zip_derived_cl0, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl167, plain,
% 1.32/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl126, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 1.32/0.92 thf(zip_derived_cl212, plain,
% 1.32/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl167, zip_derived_cl126])).
% 1.32/0.92 thf(zip_derived_cl1, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.32/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.32/0.92 thf(zip_derived_cl514, plain, (((inverse @ identity) = (identity))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl1431, plain, (((identity) = (sk_c6))),
% 1.32/0.92 inference('clc', [status(thm)], [zip_derived_cl1395, zip_derived_cl1394])).
% 1.32/0.92 thf(zip_derived_cl1150, plain,
% 1.32/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl168, zip_derived_cl165])).
% 1.32/0.92 thf(zip_derived_cl1437, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 (((inverse @ X0) != (identity))
% 1.32/0.92 | ((X0) != (identity))
% 1.32/0.92 | ((identity) != (identity))
% 1.32/0.92 | ((inverse @ X1) != (identity))
% 1.32/0.92 | ((X1) != (identity)))),
% 1.32/0.92 inference('demod', [status(thm)],
% 1.32/0.92 [zip_derived_cl1422, zip_derived_cl1431, zip_derived_cl1150,
% 1.32/0.92 zip_derived_cl1431, zip_derived_cl514, zip_derived_cl1431,
% 1.32/0.92 zip_derived_cl1150])).
% 1.32/0.92 thf(zip_derived_cl1438, plain,
% 1.32/0.92 (![X0 : $i, X1 : $i]:
% 1.32/0.92 (((X1) != (identity))
% 1.32/0.92 | ((inverse @ X1) != (identity))
% 1.32/0.92 | ((X0) != (identity))
% 1.32/0.92 | ((inverse @ X0) != (identity)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1437])).
% 1.32/0.92 thf(zip_derived_cl1457, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((inverse @ X0) != (identity))
% 1.32/0.92 | ((X0) != (identity))
% 1.32/0.92 | ((inverse @ identity) != (identity)))),
% 1.32/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1438])).
% 1.32/0.92 thf(zip_derived_cl514, plain, (((inverse @ identity) = (identity))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl1458, plain,
% 1.32/0.92 (![X0 : $i]:
% 1.32/0.92 (((inverse @ X0) != (identity))
% 1.32/0.92 | ((X0) != (identity))
% 1.32/0.92 | ((identity) != (identity)))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl1457, zip_derived_cl514])).
% 1.32/0.92 thf(zip_derived_cl1459, plain,
% 1.32/0.92 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1458])).
% 1.32/0.92 thf(zip_derived_cl1460, plain, (((inverse @ identity) != (identity))),
% 1.32/0.92 inference('eq_res', [status(thm)], [zip_derived_cl1459])).
% 1.32/0.92 thf(zip_derived_cl514, plain, (((inverse @ identity) = (identity))),
% 1.32/0.92 inference('sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl1])).
% 1.32/0.92 thf(zip_derived_cl1461, plain, (((identity) != (identity))),
% 1.32/0.92 inference('demod', [status(thm)], [zip_derived_cl1460, zip_derived_cl514])).
% 1.32/0.92 thf(zip_derived_cl1462, plain, ($false),
% 1.32/0.92 inference('simplify', [status(thm)], [zip_derived_cl1461])).
% 1.32/0.92
% 1.32/0.92 % SZS output end Refutation
% 1.32/0.92
% 1.32/0.92
% 1.32/0.92 % Terminating...
% 1.58/0.97 % Runner terminated.
% 1.58/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------