TSTP Solution File: GRP387-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6rK6BPz4eq 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 01:51:27 EDT 2023
% Result : Unsatisfiable 1.35s 1.21s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6rK6BPz4eq 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 01:38:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.88/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/1.21 % Solved by fo/fo7.sh.
% 1.35/1.21 % done 1251 iterations in 0.449s
% 1.35/1.21 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/1.21 % SZS output start Refutation
% 1.35/1.21 thf(sk_c1_type, type, sk_c1: $i).
% 1.35/1.21 thf(sk_c2_type, type, sk_c2: $i).
% 1.35/1.21 thf(sk_c4_type, type, sk_c4: $i).
% 1.35/1.21 thf(sk_c5_type, type, sk_c5: $i).
% 1.35/1.21 thf(identity_type, type, identity: $i).
% 1.35/1.21 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.35/1.21 thf(sk_c6_type, type, sk_c6: $i).
% 1.35/1.21 thf(inverse_type, type, inverse: $i > $i).
% 1.35/1.21 thf(sk_c3_type, type, sk_c3: $i).
% 1.35/1.21 thf(sk_c7_type, type, sk_c7: $i).
% 1.35/1.21 thf(prove_this_31, conjecture,
% 1.35/1.21 (~( ( ( multiply @ X4 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ X4 ) != ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.35/1.21 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) != ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_0, negated_conjecture,
% 1.35/1.21 (( ( multiply @ X4 @ sk_c7 ) != ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ X4 ) != ( sk_c5 ) ) | ( ( inverse @ X3 ) != ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ X3 @ sk_c6 ) != ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ X1 ) != ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ X1 @ sk_c7 ) != ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ X2 @ sk_c6 ) != ( sk_c7 ) ) |
% 1.35/1.21 ( ( inverse @ X2 ) != ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c7 @ sk_c5 ) != ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) != ( sk_c7 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) != ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.35/1.21 thf(zip_derived_cl33, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((multiply @ X0 @ sk_c7) != (sk_c5))
% 1.35/1.21 | ((inverse @ X0) != (sk_c5))
% 1.35/1.21 | ((inverse @ X1) != (sk_c6))
% 1.35/1.21 | ((multiply @ X1 @ sk_c6) != (sk_c5))
% 1.35/1.21 | ((inverse @ X2) != (sk_c7))
% 1.35/1.21 | ((multiply @ X2 @ sk_c7) != (sk_c6))
% 1.35/1.21 | ((multiply @ X3 @ sk_c6) != (sk_c7))
% 1.35/1.21 | ((inverse @ X3) != (sk_c7))
% 1.35/1.21 | ((multiply @ sk_c7 @ sk_c5) != (sk_c6))
% 1.35/1.21 | ((multiply @ sk_c6 @ sk_c5) != (sk_c7))
% 1.35/1.21 | ((inverse @ sk_c7) != (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/1.21 thf(zip_derived_cl34, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((multiply @ X0 @ sk_c7) != (sk_c5))
% 1.35/1.21 | ((inverse @ X0) != (sk_c5))
% 1.35/1.21 | ((inverse @ X1) != (inverse @ sk_c7))
% 1.35/1.21 | ((multiply @ X1 @ (inverse @ sk_c7)) != (sk_c5))
% 1.35/1.21 | ((inverse @ X2) != (sk_c7))
% 1.35/1.21 | ((multiply @ X2 @ sk_c7) != (inverse @ sk_c7))
% 1.35/1.21 | ((multiply @ X3 @ (inverse @ sk_c7)) != (sk_c7))
% 1.35/1.21 | ((inverse @ X3) != (sk_c7))
% 1.35/1.21 | ((multiply @ sk_c7 @ sk_c5) != (inverse @ sk_c7))
% 1.35/1.21 | ((multiply @ (inverse @ sk_c7) @ sk_c5) != (sk_c7))
% 1.35/1.21 | ((inverse @ sk_c7) != (sk_c6)))),
% 1.35/1.21 inference('local_rewriting', [status(thm)], [zip_derived_cl33])).
% 1.35/1.21 thf(prove_this_2, conjecture,
% 1.35/1.21 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_1, negated_conjecture,
% 1.35/1.21 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.35/1.21 thf(zip_derived_cl4, plain,
% 1.35/1.21 ((((inverse @ sk_c2) = (sk_c7)) | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/1.21 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl35, plain,
% 1.35/1.21 ((((multiply @ sk_c7 @ sk_c2) = (identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(associativity, axiom,
% 1.35/1.21 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.35/1.21 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.35/1.21 thf(zip_derived_cl2, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.21 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.21 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.21 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.21 thf(zip_derived_cl57, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((multiply @ identity @ X0)
% 1.35/1.21 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.35/1.21 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl93, plain,
% 1.35/1.21 ((((sk_c2) = (multiply @ (inverse @ sk_c7) @ identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl35, zip_derived_cl78])).
% 1.35/1.21 thf(prove_this_1, conjecture,
% 1.35/1.21 (~( ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_2, negated_conjecture,
% 1.35/1.21 (( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) = ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.35/1.21 thf(zip_derived_cl3, plain,
% 1.35/1.21 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.35/1.21 thf(zip_derived_cl127, plain,
% 1.35/1.21 ((((multiply @ (multiply @ (inverse @ sk_c7) @ identity) @ sk_c7)
% 1.35/1.21 = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl3])).
% 1.35/1.21 thf(zip_derived_cl2, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.21 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.21 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.21 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl130, plain,
% 1.35/1.21 ((((identity) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl127, zip_derived_cl2, zip_derived_cl0,
% 1.35/1.21 zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl131, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 1.35/1.21 thf(prove_this_8, conjecture,
% 1.35/1.21 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.35/1.21 thf(zf_stmt_3, negated_conjecture,
% 1.35/1.21 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.35/1.21 thf(zip_derived_cl10, plain,
% 1.35/1.21 ((((inverse @ sk_c2) = (sk_c7)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl102, plain,
% 1.35/1.21 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ sk_c7))
% 1.35/1.21 | ((inverse @ sk_c2) = (sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl78])).
% 1.35/1.21 thf(prove_this_14, conjecture,
% 1.35/1.21 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_4, negated_conjecture,
% 1.35/1.21 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_14])).
% 1.35/1.21 thf(zip_derived_cl16, plain,
% 1.35/1.21 ((((inverse @ sk_c2) = (sk_c7)) | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl94, plain,
% 1.35/1.21 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.35/1.21 | ((inverse @ sk_c2) = (sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl323, plain,
% 1.35/1.21 ((((multiply @ (inverse @ sk_c6) @ sk_c7)
% 1.35/1.21 = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.35/1.21 | ((inverse @ sk_c2) = (sk_c7))
% 1.35/1.21 | ((inverse @ sk_c2) = (sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl102, zip_derived_cl94])).
% 1.35/1.21 thf(zip_derived_cl329, plain,
% 1.35/1.21 ((((inverse @ sk_c2) = (sk_c7))
% 1.35/1.21 | ((multiply @ (inverse @ sk_c6) @ sk_c7)
% 1.35/1.21 = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl323])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl91, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl88, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl78, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl91, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl709, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl674, zip_derived_cl91])).
% 1.35/1.21 thf(zip_derived_cl1578, plain,
% 1.35/1.21 ((((sk_c2) = (inverse @ sk_c7))
% 1.35/1.21 | ((multiply @ (inverse @ sk_c6) @ sk_c7)
% 1.35/1.21 = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl329, zip_derived_cl709])).
% 1.35/1.21 thf(prove_this_13, conjecture,
% 1.35/1.21 (~( ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_5, negated_conjecture,
% 1.35/1.21 (( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_13])).
% 1.35/1.21 thf(zip_derived_cl15, plain,
% 1.35/1.21 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl152, plain,
% 1.35/1.21 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.35/1.21 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl78])).
% 1.35/1.21 thf(prove_this_7, conjecture,
% 1.35/1.21 (~( ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.35/1.21 thf(zf_stmt_6, negated_conjecture,
% 1.35/1.21 (( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.35/1.21 thf(zip_derived_cl9, plain,
% 1.35/1.21 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl146, plain,
% 1.35/1.21 ((((sk_c5) = (multiply @ (inverse @ sk_c6) @ sk_c7))
% 1.35/1.21 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl625, plain,
% 1.35/1.21 ((((multiply @ (inverse @ sk_c7) @ sk_c6)
% 1.35/1.21 = (multiply @ (inverse @ sk_c6) @ sk_c7))
% 1.35/1.21 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl146])).
% 1.35/1.21 thf(zip_derived_cl632, plain,
% 1.35/1.21 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((multiply @ (inverse @ sk_c7) @ sk_c6)
% 1.35/1.21 = (multiply @ (inverse @ sk_c6) @ sk_c7)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl625])).
% 1.35/1.21 thf(zip_derived_cl6570, plain,
% 1.35/1.21 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((multiply @ (inverse @ sk_c6) @ sk_c7)
% 1.35/1.21 = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.35/1.21 | ((multiply @ (inverse @ sk_c7) @ sk_c6)
% 1.35/1.21 = (multiply @ (inverse @ sk_c6) @ sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl1578, zip_derived_cl632])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl6576, plain,
% 1.35/1.21 ((((identity) = (sk_c6))
% 1.35/1.21 | ((multiply @ (inverse @ sk_c6) @ sk_c7)
% 1.35/1.21 = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.35/1.21 | ((multiply @ (inverse @ sk_c7) @ sk_c6)
% 1.35/1.21 = (multiply @ (inverse @ sk_c6) @ sk_c7)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl6570, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl6577, plain,
% 1.35/1.21 ((((multiply @ (inverse @ sk_c6) @ sk_c7)
% 1.35/1.21 = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.35/1.21 | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl6576])).
% 1.35/1.21 thf(zip_derived_cl6588, plain,
% 1.35/1.21 ((((multiply @ (inverse @ (inverse @ sk_c7)) @ sk_c7)
% 1.35/1.21 = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.35/1.21 | ((identity) = (sk_c6))
% 1.35/1.21 | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl6577])).
% 1.35/1.21 thf(zip_derived_cl709, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl674, zip_derived_cl91])).
% 1.35/1.21 thf(zip_derived_cl6598, plain,
% 1.35/1.21 ((((multiply @ sk_c7 @ sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.35/1.21 | ((identity) = (sk_c6))
% 1.35/1.21 | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl6588, zip_derived_cl709])).
% 1.35/1.21 thf(zip_derived_cl6599, plain,
% 1.35/1.21 ((((identity) = (sk_c6))
% 1.35/1.21 | ((multiply @ sk_c7 @ sk_c7) = (multiply @ (inverse @ sk_c7) @ sk_c6)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl6598])).
% 1.35/1.21 thf(zip_derived_cl709, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl674, zip_derived_cl91])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl716, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X1) = (multiply @ X0 @ (multiply @ (inverse @ X0) @ X1)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl709, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl6616, plain,
% 1.35/1.21 ((((sk_c6) = (multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)))
% 1.35/1.21 | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl6599, zip_derived_cl716])).
% 1.35/1.21 thf(zip_derived_cl6815, plain,
% 1.35/1.21 ((((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) != (identity))
% 1.35/1.21 | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('eq_fact', [status(thm)], [zip_derived_cl6616])).
% 1.35/1.21 thf(prove_this_20, conjecture,
% 1.35/1.21 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.35/1.21 thf(zf_stmt_7, negated_conjecture,
% 1.35/1.21 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.35/1.21 thf(zip_derived_cl22, plain,
% 1.35/1.21 ((((inverse @ sk_c2) = (sk_c7)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.35/1.21 thf(prove_this_26, conjecture,
% 1.35/1.21 (~( ( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.35/1.21 thf(zf_stmt_8, negated_conjecture,
% 1.35/1.21 (( ( inverse @ sk_c2 ) = ( sk_c7 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.35/1.21 thf(zip_derived_cl28, plain,
% 1.35/1.21 ((((inverse @ sk_c2) = (sk_c7)) | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl108, plain,
% 1.35/1.21 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 1.35/1.21 | ((inverse @ sk_c2) = (sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl1356, plain,
% 1.35/1.21 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.35/1.21 | ((inverse @ sk_c2) = (sk_c7))
% 1.35/1.21 | ((inverse @ sk_c2) = (sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl22, zip_derived_cl108])).
% 1.35/1.21 thf(zip_derived_cl1367, plain,
% 1.35/1.21 ((((inverse @ sk_c2) = (sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl1356])).
% 1.35/1.21 thf(zip_derived_cl709, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl674, zip_derived_cl91])).
% 1.35/1.21 thf(zip_derived_cl1377, plain,
% 1.35/1.21 ((((sk_c2) = (inverse @ sk_c7)) | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl1367, zip_derived_cl709])).
% 1.35/1.21 thf(prove_this_19, conjecture,
% 1.35/1.21 (~( ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c1 ) = ( sk_c7 ) ) ))).
% 1.35/1.21 thf(zf_stmt_9, negated_conjecture,
% 1.35/1.21 (( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c1 ) = ( sk_c7 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.35/1.21 thf(zip_derived_cl21, plain,
% 1.35/1.21 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6)) | ((inverse @ sk_c1) = (sk_c7)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.35/1.21 thf(prove_this_25, conjecture,
% 1.35/1.21 (~( ( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) ) ))).
% 1.35/1.21 thf(zf_stmt_10, negated_conjecture,
% 1.35/1.21 (( ( multiply @ sk_c2 @ sk_c7 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c1 @ sk_c6 ) = ( sk_c7 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.35/1.21 thf(zip_derived_cl27, plain,
% 1.35/1.21 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((multiply @ sk_c1 @ sk_c6) = (sk_c7)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl334, plain,
% 1.35/1.21 ((((sk_c6) = (multiply @ (inverse @ sk_c1) @ sk_c7))
% 1.35/1.21 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl4596, plain,
% 1.35/1.21 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.35/1.21 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((multiply @ sk_c2 @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl21, zip_derived_cl334])).
% 1.35/1.21 thf(zip_derived_cl4608, plain,
% 1.35/1.21 ((((multiply @ sk_c2 @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl4596])).
% 1.35/1.21 thf(zip_derived_cl4623, plain,
% 1.35/1.21 ((((multiply @ (inverse @ sk_c7) @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.35/1.21 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl1377, zip_derived_cl4608])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl4629, plain,
% 1.35/1.21 ((((identity) = (sk_c6))
% 1.35/1.21 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7))
% 1.35/1.21 | ((sk_c6) = (multiply @ sk_c7 @ sk_c7)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl4623, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl4630, plain,
% 1.35/1.21 ((((sk_c6) = (multiply @ sk_c7 @ sk_c7)) | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl4629])).
% 1.35/1.21 thf(zip_derived_cl131, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 1.35/1.21 thf(zip_derived_cl4650, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c7))
% 1.35/1.21 | ((identity) = (sk_c6))
% 1.35/1.21 | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl4630, zip_derived_cl131])).
% 1.35/1.21 thf(zip_derived_cl4679, plain,
% 1.35/1.21 ((((identity) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c7)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl4650])).
% 1.35/1.21 thf(prove_this_4, conjecture,
% 1.35/1.21 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_11, negated_conjecture,
% 1.35/1.21 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.35/1.21 thf(zip_derived_cl6, plain,
% 1.35/1.21 ((((inverse @ sk_c3) = (sk_c6)) | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl36, plain,
% 1.35/1.21 ((((multiply @ sk_c6 @ sk_c3) = (identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl101, plain,
% 1.35/1.21 ((((sk_c3) = (multiply @ (inverse @ sk_c6) @ identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl36, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl698, plain,
% 1.35/1.21 ((((sk_c3) = (inverse @ sk_c6)) | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl101, zip_derived_cl674])).
% 1.35/1.21 thf(prove_this_3, conjecture,
% 1.35/1.21 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_12, negated_conjecture,
% 1.35/1.21 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) = ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.35/1.21 thf(zip_derived_cl5, plain,
% 1.35/1.21 ((((multiply @ sk_c3 @ sk_c6) = (sk_c5)) | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.35/1.21 thf(prove_this_5, conjecture,
% 1.35/1.21 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_13, negated_conjecture,
% 1.35/1.21 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c7 ) = ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.35/1.21 thf(zip_derived_cl7, plain,
% 1.35/1.21 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl37, plain,
% 1.35/1.21 ((((multiply @ sk_c5 @ sk_c4) = (identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl49, plain,
% 1.35/1.21 ((((multiply @ (multiply @ sk_c3 @ sk_c6) @ sk_c4) = (identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl37])).
% 1.35/1.21 thf(zip_derived_cl50, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((multiply @ (multiply @ sk_c3 @ sk_c6) @ sk_c4) = (identity)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.35/1.21 thf(zip_derived_cl1878, plain,
% 1.35/1.21 ((((multiply @ (multiply @ (inverse @ sk_c6) @ sk_c6) @ sk_c4)
% 1.35/1.21 = (identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl698, zip_derived_cl50])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl1884, plain,
% 1.35/1.21 ((((sk_c4) = (identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl1878, zip_derived_cl1, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl1885, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6)) | ((sk_c4) = (identity)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl1884])).
% 1.35/1.21 thf(prove_this_6, conjecture,
% 1.35/1.21 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) = ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_14, negated_conjecture,
% 1.35/1.21 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( inverse @ sk_c7 ) = ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.35/1.21 thf(zip_derived_cl8, plain,
% 1.35/1.21 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.35/1.21 thf(zip_derived_cl1892, plain,
% 1.35/1.21 ((((multiply @ identity @ sk_c7) = (sk_c5))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl1885, zip_derived_cl8])).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl1917, plain,
% 1.35/1.21 ((((sk_c7) = (sk_c5))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl1892, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl1918, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6)) | ((sk_c7) = (sk_c5)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl1917])).
% 1.35/1.21 thf(zip_derived_cl1885, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6)) | ((sk_c4) = (identity)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl1884])).
% 1.35/1.21 thf(zip_derived_cl37, plain,
% 1.35/1.21 ((((multiply @ sk_c5 @ sk_c4) = (identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl7, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl106, plain,
% 1.35/1.21 ((((sk_c4) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl699, plain,
% 1.35/1.21 ((((sk_c4) = (inverse @ sk_c5)) | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl674])).
% 1.35/1.21 thf(zip_derived_cl1905, plain,
% 1.35/1.21 ((((identity) = (inverse @ sk_c5))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl1885, zip_derived_cl699])).
% 1.35/1.21 thf(zip_derived_cl1929, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6)) | ((identity) = (inverse @ sk_c5)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl1905])).
% 1.35/1.21 thf(zip_derived_cl2080, plain,
% 1.35/1.21 ((((identity) = (inverse @ sk_c7))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6))
% 1.35/1.21 | ((inverse @ sk_c7) = (sk_c6)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl1918, zip_derived_cl1929])).
% 1.35/1.21 thf(zip_derived_cl2085, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6)) | ((identity) = (inverse @ sk_c7)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl2080])).
% 1.35/1.21 thf(zip_derived_cl4726, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c7))
% 1.35/1.21 | ((identity) = (inverse @ sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl4679, zip_derived_cl2085])).
% 1.35/1.21 thf(zip_derived_cl4756, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (multiply @ sk_c7 @ sk_c7))
% 1.35/1.21 | ((inverse @ sk_c7) = (identity)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl4726])).
% 1.35/1.21 thf(zip_derived_cl709, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl674, zip_derived_cl91])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl714, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl709, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl4843, plain,
% 1.35/1.21 ((((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (identity))
% 1.35/1.21 | ((inverse @ sk_c7) = (identity)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl4756, zip_derived_cl714])).
% 1.35/1.21 thf(zip_derived_cl131, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6)) | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 1.35/1.21 thf(zip_derived_cl143, plain,
% 1.35/1.21 ((((inverse @ sk_c7) != (identity)) | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('eq_fact', [status(thm)], [zip_derived_cl131])).
% 1.35/1.21 thf(zip_derived_cl5723, plain,
% 1.35/1.21 ((((identity) != (identity))
% 1.35/1.21 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (identity))
% 1.35/1.21 | ((identity) = (sk_c6)))),
% 1.35/1.21 inference('sup-', [status(thm)], [zip_derived_cl4843, zip_derived_cl143])).
% 1.35/1.21 thf(zip_derived_cl5771, plain,
% 1.35/1.21 ((((identity) = (sk_c6))
% 1.35/1.21 | ((multiply @ sk_c7 @ (multiply @ sk_c7 @ sk_c7)) = (identity)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl5723])).
% 1.35/1.21 thf(zip_derived_cl7055, plain, (((identity) = (sk_c6))),
% 1.35/1.21 inference('clc', [status(thm)], [zip_derived_cl6815, zip_derived_cl5771])).
% 1.35/1.21 thf(zip_derived_cl7083, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((multiply @ X0 @ sk_c7) != (sk_c5))
% 1.35/1.21 | ((inverse @ X0) != (sk_c5))
% 1.35/1.21 | ((inverse @ X1) != (inverse @ sk_c7))
% 1.35/1.21 | ((multiply @ X1 @ (inverse @ sk_c7)) != (sk_c5))
% 1.35/1.21 | ((inverse @ X2) != (sk_c7))
% 1.35/1.21 | ((multiply @ X2 @ sk_c7) != (inverse @ sk_c7))
% 1.35/1.21 | ((multiply @ X3 @ (inverse @ sk_c7)) != (sk_c7))
% 1.35/1.21 | ((inverse @ X3) != (sk_c7))
% 1.35/1.21 | ((multiply @ sk_c7 @ sk_c5) != (inverse @ sk_c7))
% 1.35/1.21 | ((multiply @ (inverse @ sk_c7) @ sk_c5) != (sk_c7))
% 1.35/1.21 | ((inverse @ sk_c7) != (identity)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl7055])).
% 1.35/1.21 thf(zip_derived_cl7084, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((multiply @ X0 @ sk_c7) != (sk_c5))
% 1.35/1.21 | ((inverse @ X0) != (sk_c5))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((multiply @ X1 @ identity) != (sk_c5))
% 1.35/1.21 | ((inverse @ X2) != (sk_c7))
% 1.35/1.21 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.35/1.21 | ((multiply @ X3 @ identity) != (sk_c7))
% 1.35/1.21 | ((inverse @ X3) != (sk_c7))
% 1.35/1.21 | ((multiply @ sk_c7 @ sk_c5) != (identity))
% 1.35/1.21 | ((multiply @ identity @ sk_c5) != (sk_c7))
% 1.35/1.21 | ((inverse @ sk_c7) != (identity)))),
% 1.35/1.21 inference('local_rewriting', [status(thm)], [zip_derived_cl7083])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl7085, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((multiply @ X0 @ sk_c7) != (sk_c5))
% 1.35/1.21 | ((inverse @ X0) != (sk_c5))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((X1) != (sk_c5))
% 1.35/1.21 | ((inverse @ X2) != (sk_c7))
% 1.35/1.21 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.35/1.21 | ((X3) != (sk_c7))
% 1.35/1.21 | ((inverse @ X3) != (sk_c7))
% 1.35/1.21 | ((multiply @ sk_c7 @ sk_c5) != (identity))
% 1.35/1.21 | ((sk_c5) != (sk_c7))
% 1.35/1.21 | ((inverse @ sk_c7) != (identity)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl7084, zip_derived_cl674, zip_derived_cl674,
% 1.35/1.21 zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl7086, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((multiply @ X0 @ sk_c7) != (sk_c7))
% 1.35/1.21 | ((inverse @ X0) != (sk_c7))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((X1) != (sk_c7))
% 1.35/1.21 | ((inverse @ X2) != (sk_c7))
% 1.35/1.21 | ((multiply @ X2 @ sk_c7) != (identity))
% 1.35/1.21 | ((X3) != (sk_c7))
% 1.35/1.21 | ((inverse @ X3) != (sk_c7))
% 1.35/1.21 | ((multiply @ sk_c7 @ sk_c7) != (identity))
% 1.35/1.21 | ((sk_c5) != (sk_c7))
% 1.35/1.21 | ((inverse @ sk_c7) != (identity)))),
% 1.35/1.21 inference('local_rewriting', [status(thm)], [zip_derived_cl7085])).
% 1.35/1.21 thf(zip_derived_cl2085, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (sk_c6)) | ((identity) = (inverse @ sk_c7)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl2080])).
% 1.35/1.21 thf(zip_derived_cl7055, plain, (((identity) = (sk_c6))),
% 1.35/1.21 inference('clc', [status(thm)], [zip_derived_cl6815, zip_derived_cl5771])).
% 1.35/1.21 thf(zip_derived_cl7212, plain,
% 1.35/1.21 ((((inverse @ sk_c7) = (identity)) | ((identity) = (inverse @ sk_c7)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl2085, zip_derived_cl7055])).
% 1.35/1.21 thf(zip_derived_cl7213, plain, (((inverse @ sk_c7) = (identity))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl7212])).
% 1.35/1.21 thf(zip_derived_cl709, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl674, zip_derived_cl91])).
% 1.35/1.21 thf(zip_derived_cl7353, plain, (((sk_c7) = (inverse @ identity))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl7213, zip_derived_cl709])).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl90, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl125, plain,
% 1.35/1.21 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl546, plain, (((inverse @ identity) = (identity))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl546, plain, (((inverse @ identity) = (identity))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl7386, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((X0) != (identity))
% 1.35/1.21 | ((inverse @ X0) != (identity))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((X1) != (identity))
% 1.35/1.21 | ((inverse @ X2) != (identity))
% 1.35/1.21 | ((X2) != (identity))
% 1.35/1.21 | ((X3) != (identity))
% 1.35/1.21 | ((inverse @ X3) != (identity))
% 1.35/1.21 | ((identity) != (identity))
% 1.35/1.21 | ((sk_c5) != (identity))
% 1.35/1.21 | ((identity) != (identity)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl7086, zip_derived_cl7357, zip_derived_cl674,
% 1.35/1.21 zip_derived_cl7357, zip_derived_cl7357, zip_derived_cl7357,
% 1.35/1.21 zip_derived_cl7357, zip_derived_cl7357, zip_derived_cl674,
% 1.35/1.21 zip_derived_cl7357, zip_derived_cl7357, zip_derived_cl7357,
% 1.35/1.21 zip_derived_cl7357, zip_derived_cl0, zip_derived_cl7357,
% 1.35/1.21 zip_derived_cl7357, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7387, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((sk_c5) != (identity))
% 1.35/1.21 | ((inverse @ X3) != (identity))
% 1.35/1.21 | ((X3) != (identity))
% 1.35/1.21 | ((X2) != (identity))
% 1.35/1.21 | ((inverse @ X2) != (identity))
% 1.35/1.21 | ((X1) != (identity))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((inverse @ X0) != (identity))
% 1.35/1.21 | ((X0) != (identity)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl7386])).
% 1.35/1.21 thf(prove_this_15, conjecture,
% 1.35/1.21 (~( ( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) ) ))).
% 1.35/1.21 thf(zf_stmt_15, negated_conjecture,
% 1.35/1.21 (( ( multiply @ sk_c3 @ sk_c6 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c7 @ sk_c5 ) = ( sk_c6 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_15])).
% 1.35/1.21 thf(zip_derived_cl17, plain,
% 1.35/1.21 ((((multiply @ sk_c3 @ sk_c6) = (sk_c5))
% 1.35/1.21 | ((multiply @ sk_c7 @ sk_c5) = (sk_c6)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl95, plain,
% 1.35/1.21 ((((sk_c5) = (multiply @ (inverse @ sk_c7) @ sk_c6))
% 1.35/1.21 | ((multiply @ sk_c3 @ sk_c6) = (sk_c5)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl7055, plain, (((identity) = (sk_c6))),
% 1.35/1.21 inference('clc', [status(thm)], [zip_derived_cl6815, zip_derived_cl5771])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl7055, plain, (((identity) = (sk_c6))),
% 1.35/1.21 inference('clc', [status(thm)], [zip_derived_cl6815, zip_derived_cl5771])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl7097, plain,
% 1.35/1.21 ((((sk_c5) = (inverse @ sk_c7)) | ((sk_c3) = (sk_c5)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl95, zip_derived_cl7055, zip_derived_cl674,
% 1.35/1.21 zip_derived_cl7055, zip_derived_cl674])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl546, plain, (((inverse @ identity) = (identity))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl7390, plain,
% 1.35/1.21 ((((sk_c5) = (identity)) | ((sk_c3) = (sk_c5)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl7097, zip_derived_cl7357, zip_derived_cl546])).
% 1.35/1.21 thf(prove_this_12, conjecture,
% 1.35/1.21 (~( ( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.35/1.21 thf(zf_stmt_16, negated_conjecture,
% 1.35/1.21 (( ( multiply @ sk_c4 @ sk_c7 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 1.35/1.21 thf(zip_derived_cl14, plain,
% 1.35/1.21 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5))
% 1.35/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.35/1.21 thf(zip_derived_cl7055, plain, (((identity) = (sk_c6))),
% 1.35/1.21 inference('clc', [status(thm)], [zip_derived_cl6815, zip_derived_cl5771])).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl7067, plain,
% 1.35/1.21 ((((multiply @ sk_c4 @ sk_c7) = (sk_c5)) | ((sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl14, zip_derived_cl7055, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7622, plain,
% 1.35/1.21 ((((sk_c4) = (sk_c5)) | ((sk_c5) = (identity)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl7067, zip_derived_cl7357, zip_derived_cl674,
% 1.35/1.21 zip_derived_cl7357])).
% 1.35/1.21 thf(prove_this_11, conjecture,
% 1.35/1.21 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.35/1.21 thf(zf_stmt_17, negated_conjecture,
% 1.35/1.21 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.35/1.21 thf(zip_derived_cl13, plain,
% 1.35/1.21 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.35/1.21 thf(zip_derived_cl1, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.21 thf(zip_derived_cl42, plain,
% 1.35/1.21 ((((multiply @ sk_c5 @ sk_c4) = (identity))
% 1.35/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl78, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl356, plain,
% 1.35/1.21 ((((sk_c4) = (multiply @ (inverse @ sk_c5) @ identity))
% 1.35/1.21 | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl42, zip_derived_cl78])).
% 1.35/1.21 thf(zip_derived_cl674, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl88])).
% 1.35/1.21 thf(zip_derived_cl701, plain,
% 1.35/1.21 ((((sk_c4) = (inverse @ sk_c5)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl356, zip_derived_cl674])).
% 1.35/1.21 thf(zip_derived_cl7055, plain, (((identity) = (sk_c6))),
% 1.35/1.21 inference('clc', [status(thm)], [zip_derived_cl6815, zip_derived_cl5771])).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl7138, plain,
% 1.35/1.21 ((((sk_c4) = (inverse @ sk_c5)) | ((sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl701, zip_derived_cl7055, zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7449, plain,
% 1.35/1.21 ((((sk_c4) = (inverse @ sk_c5)) | ((sk_c5) = (identity)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl7138, zip_derived_cl7357])).
% 1.35/1.21 thf(zip_derived_cl7623, plain,
% 1.35/1.21 ((((sk_c5) = (inverse @ sk_c5))
% 1.35/1.21 | ((sk_c5) = (identity))
% 1.35/1.21 | ((sk_c5) = (identity)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl7622, zip_derived_cl7449])).
% 1.35/1.21 thf(zip_derived_cl7625, plain,
% 1.35/1.21 ((((sk_c5) = (identity)) | ((sk_c5) = (inverse @ sk_c5)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl7623])).
% 1.35/1.21 thf(zip_derived_cl7633, plain,
% 1.35/1.21 ((((sk_c5) = (inverse @ sk_c3))
% 1.35/1.21 | ((sk_c5) = (identity))
% 1.35/1.21 | ((sk_c5) = (identity)))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl7390, zip_derived_cl7625])).
% 1.35/1.21 thf(zip_derived_cl7638, plain,
% 1.35/1.21 ((((sk_c5) = (identity)) | ((sk_c5) = (inverse @ sk_c3)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl7633])).
% 1.35/1.21 thf(zip_derived_cl7649, plain,
% 1.35/1.21 ((((inverse @ sk_c3) != (identity)) | ((sk_c5) = (identity)))),
% 1.35/1.21 inference('eq_fact', [status(thm)], [zip_derived_cl7638])).
% 1.35/1.21 thf(prove_this_10, conjecture,
% 1.35/1.21 (~( ( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) ) ))).
% 1.35/1.21 thf(zf_stmt_18, negated_conjecture,
% 1.35/1.21 (( ( inverse @ sk_c3 ) = ( sk_c6 ) ) |
% 1.35/1.21 ( ( multiply @ sk_c6 @ sk_c5 ) = ( sk_c7 ) )),
% 1.35/1.21 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.35/1.21 thf(zip_derived_cl12, plain,
% 1.35/1.21 ((((inverse @ sk_c3) = (sk_c6)) | ((multiply @ sk_c6 @ sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.35/1.21 thf(zip_derived_cl7055, plain, (((identity) = (sk_c6))),
% 1.35/1.21 inference('clc', [status(thm)], [zip_derived_cl6815, zip_derived_cl5771])).
% 1.35/1.21 thf(zip_derived_cl7055, plain, (((identity) = (sk_c6))),
% 1.35/1.21 inference('clc', [status(thm)], [zip_derived_cl6815, zip_derived_cl5771])).
% 1.35/1.21 thf(zip_derived_cl0, plain,
% 1.35/1.21 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.21 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.21 thf(zip_derived_cl7065, plain,
% 1.35/1.21 ((((inverse @ sk_c3) = (identity)) | ((sk_c5) = (sk_c7)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl12, zip_derived_cl7055, zip_derived_cl7055,
% 1.35/1.21 zip_derived_cl0])).
% 1.35/1.21 thf(zip_derived_cl7357, plain, (((sk_c7) = (identity))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7353, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7377, plain,
% 1.35/1.21 ((((inverse @ sk_c3) = (identity)) | ((sk_c5) = (identity)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl7065, zip_derived_cl7357])).
% 1.35/1.21 thf(zip_derived_cl7654, plain, (((sk_c5) = (identity))),
% 1.35/1.21 inference('clc', [status(thm)], [zip_derived_cl7649, zip_derived_cl7377])).
% 1.35/1.21 thf(zip_derived_cl7659, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((identity) != (identity))
% 1.35/1.21 | ((inverse @ X3) != (identity))
% 1.35/1.21 | ((X3) != (identity))
% 1.35/1.21 | ((X2) != (identity))
% 1.35/1.21 | ((inverse @ X2) != (identity))
% 1.35/1.21 | ((X1) != (identity))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((inverse @ X0) != (identity))
% 1.35/1.21 | ((X0) != (identity)))),
% 1.35/1.21 inference('demod', [status(thm)],
% 1.35/1.21 [zip_derived_cl7387, zip_derived_cl7654])).
% 1.35/1.21 thf(zip_derived_cl7660, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.21 (((X0) != (identity))
% 1.35/1.21 | ((inverse @ X0) != (identity))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((X1) != (identity))
% 1.35/1.21 | ((inverse @ X2) != (identity))
% 1.35/1.21 | ((X2) != (identity))
% 1.35/1.21 | ((X3) != (identity))
% 1.35/1.21 | ((inverse @ X3) != (identity)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl7659])).
% 1.35/1.21 thf(zip_derived_cl7663, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.21 (((inverse @ X0) != (identity))
% 1.35/1.21 | ((X0) != (identity))
% 1.35/1.21 | ((X1) != (identity))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((X2) != (identity))
% 1.35/1.21 | ((inverse @ X2) != (identity))
% 1.35/1.21 | ((inverse @ identity) != (identity)))),
% 1.35/1.21 inference('eq_res', [status(thm)], [zip_derived_cl7660])).
% 1.35/1.21 thf(zip_derived_cl546, plain, (((inverse @ identity) = (identity))),
% 1.35/1.21 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/1.21 thf(zip_derived_cl7664, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.21 (((inverse @ X0) != (identity))
% 1.35/1.21 | ((X0) != (identity))
% 1.35/1.21 | ((X1) != (identity))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((X2) != (identity))
% 1.35/1.21 | ((inverse @ X2) != (identity))
% 1.35/1.21 | ((identity) != (identity)))),
% 1.35/1.21 inference('demod', [status(thm)], [zip_derived_cl7663, zip_derived_cl546])).
% 1.35/1.21 thf(zip_derived_cl7665, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.21 (((inverse @ X2) != (identity))
% 1.35/1.21 | ((X2) != (identity))
% 1.35/1.21 | ((inverse @ X1) != (identity))
% 1.35/1.21 | ((X1) != (identity))
% 1.35/1.21 | ((X0) != (identity))
% 1.35/1.21 | ((inverse @ X0) != (identity)))),
% 1.35/1.21 inference('simplify', [status(thm)], [zip_derived_cl7664])).
% 1.35/1.21 thf(zip_derived_cl7666, plain,
% 1.35/1.21 (![X0 : $i, X1 : $i]:
% 1.35/1.21 (((inverse @ X0) != (identity))
% 1.35/1.21 | ((X0) != (identity))
% 1.35/1.22 | ((X1) != (identity))
% 1.35/1.22 | ((inverse @ X1) != (identity))
% 1.35/1.22 | ((inverse @ identity) != (identity)))),
% 1.35/1.22 inference('eq_res', [status(thm)], [zip_derived_cl7665])).
% 1.35/1.22 thf(zip_derived_cl546, plain, (((inverse @ identity) = (identity))),
% 1.35/1.22 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/1.22 thf(zip_derived_cl7667, plain,
% 1.35/1.22 (![X0 : $i, X1 : $i]:
% 1.35/1.22 (((inverse @ X0) != (identity))
% 1.35/1.22 | ((X0) != (identity))
% 1.35/1.22 | ((X1) != (identity))
% 1.35/1.22 | ((inverse @ X1) != (identity))
% 1.35/1.22 | ((identity) != (identity)))),
% 1.35/1.22 inference('demod', [status(thm)], [zip_derived_cl7666, zip_derived_cl546])).
% 1.35/1.22 thf(zip_derived_cl7668, plain,
% 1.35/1.22 (![X0 : $i, X1 : $i]:
% 1.35/1.22 (((inverse @ X1) != (identity))
% 1.35/1.22 | ((X1) != (identity))
% 1.35/1.22 | ((X0) != (identity))
% 1.35/1.22 | ((inverse @ X0) != (identity)))),
% 1.35/1.22 inference('simplify', [status(thm)], [zip_derived_cl7667])).
% 1.35/1.22 thf(zip_derived_cl7669, plain,
% 1.35/1.22 (![X0 : $i]:
% 1.35/1.22 (((inverse @ X0) != (identity))
% 1.35/1.22 | ((X0) != (identity))
% 1.35/1.22 | ((inverse @ identity) != (identity)))),
% 1.35/1.22 inference('eq_res', [status(thm)], [zip_derived_cl7668])).
% 1.35/1.22 thf(zip_derived_cl546, plain, (((inverse @ identity) = (identity))),
% 1.35/1.22 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/1.22 thf(zip_derived_cl7670, plain,
% 1.35/1.22 (![X0 : $i]:
% 1.35/1.22 (((inverse @ X0) != (identity))
% 1.35/1.22 | ((X0) != (identity))
% 1.35/1.22 | ((identity) != (identity)))),
% 1.35/1.22 inference('demod', [status(thm)], [zip_derived_cl7669, zip_derived_cl546])).
% 1.35/1.22 thf(zip_derived_cl7671, plain,
% 1.35/1.22 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.35/1.22 inference('simplify', [status(thm)], [zip_derived_cl7670])).
% 1.35/1.22 thf(zip_derived_cl7672, plain, (((inverse @ identity) != (identity))),
% 1.35/1.22 inference('eq_res', [status(thm)], [zip_derived_cl7671])).
% 1.35/1.22 thf(zip_derived_cl546, plain, (((inverse @ identity) = (identity))),
% 1.35/1.22 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl1])).
% 1.35/1.22 thf(zip_derived_cl7673, plain, (((identity) != (identity))),
% 1.35/1.22 inference('demod', [status(thm)], [zip_derived_cl7672, zip_derived_cl546])).
% 1.35/1.22 thf(zip_derived_cl7674, plain, ($false),
% 1.35/1.22 inference('simplify', [status(thm)], [zip_derived_cl7673])).
% 1.35/1.22
% 1.35/1.22 % SZS output end Refutation
% 1.35/1.22
% 1.35/1.22
% 1.35/1.22 % Terminating...
% 1.35/1.24 % Runner terminated.
% 1.94/1.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------