TSTP Solution File: GRP219-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP219-1 : 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.QPbiebbask true
% Computer : n025.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 01:50:46 EDT 2023
% Result : Unsatisfiable 1.40s 0.92s
% Output : Refutation 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP219-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QPbiebbask true
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 02:07:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.40/0.92 % Solved by fo/fo7.sh.
% 1.40/0.92 % done 291 iterations in 0.142s
% 1.40/0.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.40/0.92 % SZS output start Refutation
% 1.40/0.92 thf(sk_c6_type, type, sk_c6: $i).
% 1.40/0.92 thf(sk_c4_type, type, sk_c4: $i).
% 1.40/0.92 thf(sk_c7_type, type, sk_c7: $i).
% 1.40/0.92 thf(identity_type, type, identity: $i).
% 1.40/0.92 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.40/0.92 thf(sk_c9_type, type, sk_c9: $i).
% 1.40/0.92 thf(inverse_type, type, inverse: $i > $i).
% 1.40/0.92 thf(sk_c8_type, type, sk_c8: $i).
% 1.40/0.92 thf(sk_c5_type, type, sk_c5: $i).
% 1.40/0.92 thf(sk_c1_type, type, sk_c1: $i).
% 1.40/0.92 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.40/0.92 thf(zip_derived_cl1, plain,
% 1.40/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.92 thf(zip_derived_cl1, plain,
% 1.40/0.92 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.92 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.92 thf(associativity, axiom,
% 1.40/0.92 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.40/0.92 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.40/0.92 thf(zip_derived_cl2, plain,
% 1.40/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.92 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.40/0.92 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.40/0.92 inference('cnf', [status(esa)], [associativity])).
% 1.40/0.92 thf(zip_derived_cl78, plain,
% 1.40/0.92 (![X0 : $i, X1 : $i]:
% 1.40/0.92 ((multiply @ identity @ X0)
% 1.40/0.92 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.40/0.92 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.40/0.92 thf(zip_derived_cl0, plain,
% 1.40/0.92 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.40/0.92 inference('cnf', [status(esa)], [left_identity])).
% 1.40/0.92 thf(zip_derived_cl95, plain,
% 1.40/0.92 (![X0 : $i, X1 : $i]:
% 1.40/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.92 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.92 thf(zip_derived_cl105, plain,
% 1.40/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.40/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl95])).
% 1.40/0.92 thf(zip_derived_cl95, plain,
% 1.40/0.92 (![X0 : $i, X1 : $i]:
% 1.40/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.92 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.92 thf(zip_derived_cl95, plain,
% 1.40/0.92 (![X0 : $i, X1 : $i]:
% 1.40/0.92 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.92 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.92 thf(zip_derived_cl102, plain,
% 1.40/0.92 (![X0 : $i, X1 : $i]:
% 1.40/0.92 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.40/0.92 inference('sup+', [status(thm)], [zip_derived_cl95, zip_derived_cl95])).
% 1.40/0.92 thf(zip_derived_cl438, plain,
% 1.40/0.92 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.92 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.92 thf(zip_derived_cl105, plain,
% 1.40/0.92 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.40/0.92 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl95])).
% 1.40/0.92 thf(zip_derived_cl465, plain,
% 1.40/0.92 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.40/0.92 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl105])).
% 1.40/0.92 thf(prove_this_33, conjecture,
% 1.40/0.92 (~( ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.40/0.92 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.40/0.92 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.40/0.92 ( ( inverse @ X1 ) != ( sk_c9 ) ) |
% 1.40/0.92 ( ( inverse @ X7 ) != ( sk_c9 ) ) |
% 1.40/0.92 ( ( multiply @ X7 @ sk_c9 ) != ( X6 ) ) |
% 1.40/0.92 ( ( multiply @ sk_c9 @ X6 ) != ( sk_c8 ) ) |
% 1.40/0.92 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.40/0.92 ( ( inverse @ X4 ) != ( X5 ) ) |
% 1.40/0.92 ( ( multiply @ X4 @ X5 ) != ( sk_c8 ) ) |
% 1.40/0.92 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.40/0.92 ( ( inverse @ X3 ) != ( sk_c9 ) ) ))).
% 1.40/0.92 thf(zf_stmt_0, negated_conjecture,
% 1.40/0.92 (( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.40/0.92 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.40/0.92 ( ( multiply @ X1 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.40/0.92 ( ( inverse @ X1 ) != ( sk_c9 ) ) | ( ( inverse @ X7 ) != ( sk_c9 ) ) |
% 1.40/0.92 ( ( multiply @ X7 @ sk_c9 ) != ( X6 ) ) |
% 1.40/0.92 ( ( multiply @ sk_c9 @ X6 ) != ( sk_c8 ) ) |
% 1.40/0.93 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.40/0.93 ( ( inverse @ X4 ) != ( X5 ) ) |
% 1.40/0.93 ( ( multiply @ X4 @ X5 ) != ( sk_c8 ) ) |
% 1.40/0.93 ( ( multiply @ X3 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.40/0.93 ( ( inverse @ X3 ) != ( sk_c9 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 1.40/0.93 thf(zip_derived_cl35, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.40/0.93 (((inverse @ X0) != (sk_c8))
% 1.40/0.93 | ((multiply @ X0 @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((inverse @ X1) != (sk_c9))
% 1.40/0.93 | ((inverse @ X2) != (sk_c9))
% 1.40/0.93 | ((multiply @ X2 @ sk_c9) != (X3))
% 1.40/0.93 | ((multiply @ sk_c9 @ X3) != (sk_c8))
% 1.40/0.93 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 1.40/0.93 | ((inverse @ X5) != (X4))
% 1.40/0.93 | ((multiply @ X5 @ X4) != (sk_c8))
% 1.40/0.93 | ((multiply @ X6 @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((inverse @ X6) != (sk_c9)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.40/0.93 thf(zip_derived_cl471, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.40/0.93 (((X0) != (sk_c8))
% 1.40/0.93 | ((inverse @ X1) != (sk_c9))
% 1.40/0.93 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((multiply @ X3 @ X2) != (sk_c8))
% 1.40/0.93 | ((inverse @ X3) != (X2))
% 1.40/0.93 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 1.40/0.93 | ((multiply @ sk_c9 @ X4) != (sk_c8))
% 1.40/0.93 | ((multiply @ X5 @ sk_c9) != (X4))
% 1.40/0.93 | ((inverse @ X5) != (sk_c9))
% 1.40/0.93 | ((inverse @ X6) != (sk_c9))
% 1.40/0.93 | ((multiply @ X6 @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((multiply @ (inverse @ X0) @ sk_c8) != (sk_c9)))),
% 1.40/0.93 inference('sup-', [status(thm)], [zip_derived_cl465, zip_derived_cl35])).
% 1.40/0.93 thf(zip_derived_cl548, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.40/0.93 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((multiply @ X0 @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((inverse @ X0) != (sk_c9))
% 1.40/0.93 | ((inverse @ X1) != (sk_c9))
% 1.40/0.93 | ((multiply @ X1 @ sk_c9) != (X2))
% 1.40/0.93 | ((multiply @ sk_c9 @ X2) != (sk_c8))
% 1.40/0.93 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 1.40/0.93 | ((inverse @ X4) != (X3))
% 1.40/0.93 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.40/0.93 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((inverse @ X5) != (sk_c9)))),
% 1.40/0.93 inference('eq_res', [status(thm)], [zip_derived_cl471])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl549, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.40/0.93 (((identity) != (sk_c9))
% 1.40/0.93 | ((multiply @ X0 @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((inverse @ X0) != (sk_c9))
% 1.40/0.93 | ((inverse @ X1) != (sk_c9))
% 1.40/0.93 | ((multiply @ X1 @ sk_c9) != (X2))
% 1.40/0.93 | ((multiply @ sk_c9 @ X2) != (sk_c8))
% 1.40/0.93 | ((multiply @ X3 @ sk_c9) != (sk_c8))
% 1.40/0.93 | ((inverse @ X4) != (X3))
% 1.40/0.93 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.40/0.93 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.40/0.93 | ((inverse @ X5) != (sk_c9)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl548, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl550, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.40/0.93 (((identity) != (sk_c9))
% 1.40/0.93 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.40/0.93 | ((inverse @ X0) != (identity))
% 1.40/0.93 | ((inverse @ X1) != (identity))
% 1.40/0.93 | ((multiply @ X1 @ identity) != (X2))
% 1.40/0.93 | ((multiply @ identity @ X2) != (sk_c8))
% 1.40/0.93 | ((multiply @ X3 @ identity) != (sk_c8))
% 1.40/0.93 | ((inverse @ X4) != (X3))
% 1.40/0.93 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.40/0.93 | ((multiply @ X5 @ sk_c8) != (identity))
% 1.40/0.93 | ((inverse @ X5) != (identity)))),
% 1.40/0.93 inference('local_rewriting', [status(thm)], [zip_derived_cl549])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl0, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl551, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.40/0.93 (((identity) != (sk_c9))
% 1.40/0.93 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.40/0.93 | ((inverse @ X0) != (identity))
% 1.40/0.93 | ((inverse @ X1) != (identity))
% 1.40/0.93 | ((X1) != (X2))
% 1.40/0.93 | ((X2) != (sk_c8))
% 1.40/0.93 | ((X3) != (sk_c8))
% 1.40/0.93 | ((inverse @ X4) != (X3))
% 1.40/0.93 | ((multiply @ X4 @ X3) != (sk_c8))
% 1.40/0.93 | ((multiply @ X5 @ sk_c8) != (identity))
% 1.40/0.93 | ((inverse @ X5) != (identity)))),
% 1.40/0.93 inference('demod', [status(thm)],
% 1.40/0.93 [zip_derived_cl550, zip_derived_cl438, zip_derived_cl0,
% 1.40/0.93 zip_derived_cl438])).
% 1.40/0.93 thf(zip_derived_cl553, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.40/0.93 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.40/0.93 | ((inverse @ X2) != (X1))
% 1.40/0.93 | ((X1) != (sk_c8))
% 1.40/0.93 | ((X3) != (sk_c8))
% 1.40/0.93 | ((inverse @ X3) != (identity))
% 1.40/0.93 | ((inverse @ X4) != (identity))
% 1.40/0.93 | ((multiply @ X4 @ sk_c8) != (identity))
% 1.40/0.93 | ((identity) != (sk_c9)))),
% 1.40/0.93 inference('eq_res', [status(thm)], [zip_derived_cl551])).
% 1.40/0.93 thf(prove_this_4, conjecture,
% 1.40/0.93 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.40/0.93 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.40/0.93 thf(zf_stmt_1, negated_conjecture,
% 1.40/0.93 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.40/0.93 thf(zip_derived_cl6, plain,
% 1.40/0.93 ((((inverse @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.40/0.93 thf(prove_this_3, conjecture,
% 1.40/0.93 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( inverse @ sk_c1 ) = ( sk_c9 ) ) ))).
% 1.40/0.93 thf(zf_stmt_2, negated_conjecture,
% 1.40/0.93 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( inverse @ sk_c1 ) = ( sk_c9 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.40/0.93 thf(zip_derived_cl5, plain,
% 1.40/0.93 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.40/0.93 thf(zip_derived_cl95, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i]:
% 1.40/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.93 thf(zip_derived_cl115, plain,
% 1.40/0.93 ((((sk_c8) = (multiply @ (inverse @ sk_c7) @ sk_c9))
% 1.40/0.93 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl95])).
% 1.40/0.93 thf(zip_derived_cl334, plain,
% 1.40/0.93 ((((sk_c8) = (multiply @ sk_c8 @ sk_c9))
% 1.40/0.93 | ((inverse @ sk_c1) = (sk_c9))
% 1.40/0.93 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl6, zip_derived_cl115])).
% 1.40/0.93 thf(zip_derived_cl339, plain,
% 1.40/0.93 ((((inverse @ sk_c1) = (sk_c9)) | ((sk_c8) = (multiply @ sk_c8 @ sk_c9)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl334])).
% 1.40/0.93 thf(zip_derived_cl95, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i]:
% 1.40/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.93 thf(zip_derived_cl389, plain,
% 1.40/0.93 ((((sk_c9) = (multiply @ (inverse @ sk_c8) @ sk_c8))
% 1.40/0.93 | ((inverse @ sk_c1) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl339, zip_derived_cl95])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl397, plain,
% 1.40/0.93 ((((sk_c9) = (identity)) | ((inverse @ sk_c1) = (sk_c9)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl389, zip_derived_cl1])).
% 1.40/0.93 thf(prove_this_32, conjecture,
% 1.40/0.93 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.40/0.93 ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) ))).
% 1.40/0.93 thf(zf_stmt_3, negated_conjecture,
% 1.40/0.93 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c4 ) = ( sk_c9 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 1.40/0.93 thf(zip_derived_cl34, plain,
% 1.40/0.93 ((((inverse @ sk_c7) = (sk_c8)) | ((inverse @ sk_c4) = (sk_c9)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl43, plain,
% 1.40/0.93 ((((multiply @ sk_c9 @ sk_c4) = (identity))
% 1.40/0.93 | ((inverse @ sk_c7) = (sk_c8)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl95, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i]:
% 1.40/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.93 thf(zip_derived_cl112, plain,
% 1.40/0.93 ((((sk_c4) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.40/0.93 | ((inverse @ sk_c7) = (sk_c8)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl95])).
% 1.40/0.93 thf(prove_this_28, conjecture,
% 1.40/0.93 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c5 ) ) ))).
% 1.40/0.93 thf(zf_stmt_4, negated_conjecture,
% 1.40/0.93 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c5 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 1.40/0.93 thf(zip_derived_cl30, plain,
% 1.40/0.93 ((((inverse @ sk_c7) = (sk_c8)) | ((multiply @ sk_c4 @ sk_c9) = (sk_c5)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.40/0.93 thf(zip_derived_cl199, plain,
% 1.40/0.93 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.40/0.93 = (sk_c5))
% 1.40/0.93 | ((inverse @ sk_c7) = (sk_c8))
% 1.40/0.93 | ((inverse @ sk_c7) = (sk_c8)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl30])).
% 1.40/0.93 thf(zip_derived_cl2, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.40/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.40/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.40/0.93 thf(zip_derived_cl0, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl207, plain,
% 1.40/0.93 ((((identity) = (sk_c5))
% 1.40/0.93 | ((inverse @ sk_c7) = (sk_c8))
% 1.40/0.93 | ((inverse @ sk_c7) = (sk_c8)))),
% 1.40/0.93 inference('demod', [status(thm)],
% 1.40/0.93 [zip_derived_cl199, zip_derived_cl2, zip_derived_cl0,
% 1.40/0.93 zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl208, plain,
% 1.40/0.93 ((((inverse @ sk_c7) = (sk_c8)) | ((identity) = (sk_c5)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl207])).
% 1.40/0.93 thf(prove_this_24, conjecture,
% 1.40/0.93 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c9 @ sk_c5 ) = ( sk_c8 ) ) ))).
% 1.40/0.93 thf(zf_stmt_5, negated_conjecture,
% 1.40/0.93 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c9 @ sk_c5 ) = ( sk_c8 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.40/0.93 thf(zip_derived_cl26, plain,
% 1.40/0.93 ((((inverse @ sk_c7) = (sk_c8)) | ((multiply @ sk_c9 @ sk_c5) = (sk_c8)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.40/0.93 thf(zip_derived_cl212, plain,
% 1.40/0.93 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.40/0.93 | ((inverse @ sk_c7) = (sk_c8))
% 1.40/0.93 | ((inverse @ sk_c7) = (sk_c8)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl208, zip_derived_cl26])).
% 1.40/0.93 thf(zip_derived_cl215, plain,
% 1.40/0.93 ((((inverse @ sk_c7) = (sk_c8))
% 1.40/0.93 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl212])).
% 1.40/0.93 thf(zip_derived_cl105, plain,
% 1.40/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl95])).
% 1.40/0.93 thf(zip_derived_cl287, plain,
% 1.40/0.93 ((((sk_c7) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.40/0.93 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl215, zip_derived_cl105])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl458, plain,
% 1.40/0.93 ((((sk_c7) = (inverse @ sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.40/0.93 inference('demod', [status(thm)],
% 1.40/0.93 [zip_derived_cl287, zip_derived_cl438, zip_derived_cl438])).
% 1.40/0.93 thf(prove_this_31, conjecture,
% 1.40/0.93 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) ))).
% 1.40/0.93 thf(zf_stmt_6, negated_conjecture,
% 1.40/0.93 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( inverse @ sk_c4 ) = ( sk_c9 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.40/0.93 thf(zip_derived_cl33, plain,
% 1.40/0.93 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c4) = (sk_c9)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.40/0.93 thf(zip_derived_cl465, plain,
% 1.40/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl105])).
% 1.40/0.93 thf(zip_derived_cl482, plain,
% 1.40/0.93 ((((sk_c4) = (inverse @ sk_c9)) | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl465])).
% 1.40/0.93 thf(prove_this_27, conjecture,
% 1.40/0.93 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c5 ) ) ))).
% 1.40/0.93 thf(zf_stmt_7, negated_conjecture,
% 1.40/0.93 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c5 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.40/0.93 thf(zip_derived_cl29, plain,
% 1.40/0.93 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c4 @ sk_c9) = (sk_c5)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.40/0.93 thf(zip_derived_cl1369, plain,
% 1.40/0.93 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c5))
% 1.40/0.93 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl482, zip_derived_cl29])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl1373, plain,
% 1.40/0.93 ((((identity) = (sk_c5))
% 1.40/0.93 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl1369, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl1374, plain,
% 1.40/0.93 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c5)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1373])).
% 1.40/0.93 thf(prove_this_23, conjecture,
% 1.40/0.93 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c9 @ sk_c5 ) = ( sk_c8 ) ) ))).
% 1.40/0.93 thf(zf_stmt_8, negated_conjecture,
% 1.40/0.93 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c9 @ sk_c5 ) = ( sk_c8 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_23])).
% 1.40/0.93 thf(zip_derived_cl25, plain,
% 1.40/0.93 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c9 @ sk_c5) = (sk_c8)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.40/0.93 thf(zip_derived_cl1377, plain,
% 1.40/0.93 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.40/0.93 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl1374, zip_derived_cl25])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl1387, plain,
% 1.40/0.93 ((((sk_c9) = (sk_c8))
% 1.40/0.93 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c7 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl1377, zip_derived_cl438])).
% 1.40/0.93 thf(zip_derived_cl1388, plain,
% 1.40/0.93 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1387])).
% 1.40/0.93 thf(zip_derived_cl1407, plain,
% 1.40/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((sk_c9) = (sk_c8))
% 1.40/0.93 | ((sk_c9) = (sk_c8)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl458, zip_derived_cl1388])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl1413, plain,
% 1.40/0.93 ((((identity) = (sk_c9)) | ((sk_c9) = (sk_c8)) | ((sk_c9) = (sk_c8)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl1407, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl1414, plain,
% 1.40/0.93 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c9)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1413])).
% 1.40/0.93 thf(prove_this_8, conjecture,
% 1.40/0.93 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.40/0.93 thf(zf_stmt_9, negated_conjecture,
% 1.40/0.93 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.40/0.93 thf(zip_derived_cl10, plain,
% 1.40/0.93 ((((inverse @ sk_c7) = (sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.40/0.93 thf(zip_derived_cl465, plain,
% 1.40/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl105])).
% 1.40/0.93 thf(zip_derived_cl478, plain,
% 1.40/0.93 ((((sk_c7) = (inverse @ sk_c8)) | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl465])).
% 1.40/0.93 thf(prove_this_7, conjecture,
% 1.40/0.93 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) ) ))).
% 1.40/0.93 thf(zf_stmt_10, negated_conjecture,
% 1.40/0.93 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c1 @ sk_c8 ) = ( sk_c9 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.40/0.93 thf(zip_derived_cl9, plain,
% 1.40/0.93 ((((multiply @ sk_c7 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.40/0.93 thf(zip_derived_cl638, plain,
% 1.40/0.93 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl478, zip_derived_cl9])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl647, plain,
% 1.40/0.93 ((((identity) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c1 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl638, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl648, plain,
% 1.40/0.93 ((((multiply @ sk_c1 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl647])).
% 1.40/0.93 thf(zip_derived_cl1434, plain,
% 1.40/0.93 ((((multiply @ sk_c1 @ sk_c9) = (sk_c9))
% 1.40/0.93 | ((identity) = (sk_c9))
% 1.40/0.93 | ((identity) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl1414, zip_derived_cl648])).
% 1.40/0.93 thf(zip_derived_cl1442, plain,
% 1.40/0.93 ((((identity) = (sk_c9)) | ((multiply @ sk_c1 @ sk_c9) = (sk_c9)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1434])).
% 1.40/0.93 thf(zip_derived_cl1451, plain,
% 1.40/0.93 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c9))
% 1.40/0.93 | ((sk_c9) = (identity))
% 1.40/0.93 | ((identity) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl397, zip_derived_cl1442])).
% 1.40/0.93 thf(zip_derived_cl465, plain,
% 1.40/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl105])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl470, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl1452, plain,
% 1.40/0.93 ((((identity) = (sk_c9))
% 1.40/0.93 | ((sk_c9) = (identity))
% 1.40/0.93 | ((identity) = (sk_c9)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl1451, zip_derived_cl470])).
% 1.40/0.93 thf(zip_derived_cl1453, plain, (((identity) = (sk_c9))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1452])).
% 1.40/0.93 thf(zip_derived_cl1522, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.40/0.93 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.40/0.93 | ((inverse @ X2) != (X1))
% 1.40/0.93 | ((X1) != (sk_c8))
% 1.40/0.93 | ((X3) != (sk_c8))
% 1.40/0.93 | ((inverse @ X3) != (identity))
% 1.40/0.93 | ((inverse @ X4) != (identity))
% 1.40/0.93 | ((multiply @ X4 @ sk_c8) != (identity))
% 1.40/0.93 | ((identity) != (identity)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl553, zip_derived_cl1453])).
% 1.40/0.93 thf(zip_derived_cl1523, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.40/0.93 (((multiply @ X4 @ sk_c8) != (identity))
% 1.40/0.93 | ((inverse @ X4) != (identity))
% 1.40/0.93 | ((inverse @ X3) != (identity))
% 1.40/0.93 | ((X3) != (sk_c8))
% 1.40/0.93 | ((X1) != (sk_c8))
% 1.40/0.93 | ((inverse @ X2) != (X1))
% 1.40/0.93 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.40/0.93 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.40/0.93 | ((inverse @ X0) != (identity)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1522])).
% 1.40/0.93 thf(zip_derived_cl1584, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((multiply @ X0 @ sk_c8) != (identity))
% 1.40/0.93 | ((multiply @ X2 @ X1) != (sk_c8))
% 1.40/0.93 | ((inverse @ X2) != (X1))
% 1.40/0.93 | ((X1) != (sk_c8))
% 1.40/0.93 | ((inverse @ sk_c8) != (identity))
% 1.40/0.93 | ((inverse @ X3) != (identity))
% 1.40/0.93 | ((multiply @ X3 @ sk_c8) != (identity)))),
% 1.40/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1523])).
% 1.40/0.93 thf(prove_this_29, conjecture,
% 1.40/0.93 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) ))).
% 1.40/0.93 thf(zf_stmt_11, negated_conjecture,
% 1.40/0.93 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) | ( ( inverse @ sk_c4 ) = ( sk_c9 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.40/0.93 thf(zip_derived_cl31, plain,
% 1.40/0.93 ((((inverse @ sk_c6) = (sk_c9)) | ((inverse @ sk_c4) = (sk_c9)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl40, plain,
% 1.40/0.93 ((((multiply @ sk_c9 @ sk_c4) = (identity))
% 1.40/0.93 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl31, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl95, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i]:
% 1.40/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.93 thf(zip_derived_cl111, plain,
% 1.40/0.93 ((((sk_c4) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.40/0.93 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl95])).
% 1.40/0.93 thf(prove_this_25, conjecture,
% 1.40/0.93 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c5 ) ) ))).
% 1.40/0.93 thf(zf_stmt_12, negated_conjecture,
% 1.40/0.93 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c5 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.40/0.93 thf(zip_derived_cl27, plain,
% 1.40/0.93 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c4 @ sk_c9) = (sk_c5)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.40/0.93 thf(zip_derived_cl236, plain,
% 1.40/0.93 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.40/0.93 = (sk_c5))
% 1.40/0.93 | ((inverse @ sk_c6) = (sk_c9))
% 1.40/0.93 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl111, zip_derived_cl27])).
% 1.40/0.93 thf(zip_derived_cl2, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.93 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.40/0.93 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.40/0.93 inference('cnf', [status(esa)], [associativity])).
% 1.40/0.93 thf(zip_derived_cl0, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl244, plain,
% 1.40/0.93 ((((identity) = (sk_c5))
% 1.40/0.93 | ((inverse @ sk_c6) = (sk_c9))
% 1.40/0.93 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.40/0.93 inference('demod', [status(thm)],
% 1.40/0.93 [zip_derived_cl236, zip_derived_cl2, zip_derived_cl0,
% 1.40/0.93 zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl245, plain,
% 1.40/0.93 ((((inverse @ sk_c6) = (sk_c9)) | ((identity) = (sk_c5)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl244])).
% 1.40/0.93 thf(prove_this_21, conjecture,
% 1.40/0.93 (~( ( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c9 @ sk_c5 ) = ( sk_c8 ) ) ))).
% 1.40/0.93 thf(zf_stmt_13, negated_conjecture,
% 1.40/0.93 (( ( inverse @ sk_c6 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c9 @ sk_c5 ) = ( sk_c8 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.40/0.93 thf(zip_derived_cl23, plain,
% 1.40/0.93 ((((inverse @ sk_c6) = (sk_c9)) | ((multiply @ sk_c9 @ sk_c5) = (sk_c8)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.40/0.93 thf(zip_derived_cl249, plain,
% 1.40/0.93 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.40/0.93 | ((inverse @ sk_c6) = (sk_c9))
% 1.40/0.93 | ((inverse @ sk_c6) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl245, zip_derived_cl23])).
% 1.40/0.93 thf(zip_derived_cl253, plain,
% 1.40/0.93 ((((inverse @ sk_c6) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c9 @ identity) = (sk_c8)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl249])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl457, plain,
% 1.40/0.93 ((((inverse @ sk_c6) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl253, zip_derived_cl438])).
% 1.40/0.93 thf(zip_derived_cl1453, plain, (((identity) = (sk_c9))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1452])).
% 1.40/0.93 thf(zip_derived_cl1453, plain, (((identity) = (sk_c9))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1452])).
% 1.40/0.93 thf(zip_derived_cl1513, plain,
% 1.40/0.93 ((((inverse @ sk_c6) = (identity)) | ((identity) = (sk_c8)))),
% 1.40/0.93 inference('demod', [status(thm)],
% 1.40/0.93 [zip_derived_cl457, zip_derived_cl1453, zip_derived_cl1453])).
% 1.40/0.93 thf(prove_this_30, conjecture,
% 1.40/0.93 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( inverse @ sk_c4 ) = ( sk_c9 ) ) ))).
% 1.40/0.93 thf(zf_stmt_14, negated_conjecture,
% 1.40/0.93 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( inverse @ sk_c4 ) = ( sk_c9 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.40/0.93 thf(zip_derived_cl32, plain,
% 1.40/0.93 ((((multiply @ sk_c6 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c4) = (sk_c9)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.40/0.93 thf(zip_derived_cl465, plain,
% 1.40/0.93 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl438, zip_derived_cl105])).
% 1.40/0.93 thf(zip_derived_cl481, plain,
% 1.40/0.93 ((((sk_c4) = (inverse @ sk_c9)) | ((multiply @ sk_c6 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl465])).
% 1.40/0.93 thf(prove_this_26, conjecture,
% 1.40/0.93 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c5 ) ) ))).
% 1.40/0.93 thf(zf_stmt_15, negated_conjecture,
% 1.40/0.93 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c4 @ sk_c9 ) = ( sk_c5 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.40/0.93 thf(zip_derived_cl28, plain,
% 1.40/0.93 ((((multiply @ sk_c6 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c4 @ sk_c9) = (sk_c5)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.40/0.93 thf(zip_derived_cl991, plain,
% 1.40/0.93 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c5))
% 1.40/0.93 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl481, zip_derived_cl28])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl995, plain,
% 1.40/0.93 ((((identity) = (sk_c5))
% 1.40/0.93 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl991, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl996, plain,
% 1.40/0.93 ((((multiply @ sk_c6 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c5)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl995])).
% 1.40/0.93 thf(prove_this_22, conjecture,
% 1.40/0.93 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c9 @ sk_c5 ) = ( sk_c8 ) ) ))).
% 1.40/0.93 thf(zf_stmt_16, negated_conjecture,
% 1.40/0.93 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.40/0.93 ( ( multiply @ sk_c9 @ sk_c5 ) = ( sk_c8 ) )),
% 1.40/0.93 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.40/0.93 thf(zip_derived_cl24, plain,
% 1.40/0.93 ((((multiply @ sk_c6 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c9 @ sk_c5) = (sk_c8)))),
% 1.40/0.93 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.40/0.93 thf(zip_derived_cl999, plain,
% 1.40/0.93 ((((multiply @ sk_c9 @ identity) = (sk_c8))
% 1.40/0.93 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl996, zip_derived_cl24])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl1009, plain,
% 1.40/0.93 ((((sk_c9) = (sk_c8))
% 1.40/0.93 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9))
% 1.40/0.93 | ((multiply @ sk_c6 @ sk_c8) = (sk_c9)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl999, zip_derived_cl438])).
% 1.40/0.93 thf(zip_derived_cl1010, plain,
% 1.40/0.93 ((((multiply @ sk_c6 @ sk_c8) = (sk_c9)) | ((sk_c9) = (sk_c8)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1009])).
% 1.40/0.93 thf(zip_derived_cl95, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i]:
% 1.40/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.93 thf(zip_derived_cl1016, plain,
% 1.40/0.93 ((((sk_c8) = (multiply @ (inverse @ sk_c6) @ sk_c9))
% 1.40/0.93 | ((sk_c9) = (sk_c8)))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl1010, zip_derived_cl95])).
% 1.40/0.93 thf(zip_derived_cl1045, plain,
% 1.40/0.93 ((((multiply @ (inverse @ sk_c6) @ sk_c9) != (sk_c9))
% 1.40/0.93 | ((sk_c9) = (sk_c8)))),
% 1.40/0.93 inference('eq_fact', [status(thm)], [zip_derived_cl1016])).
% 1.40/0.93 thf(zip_derived_cl1453, plain, (((identity) = (sk_c9))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1452])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl1453, plain, (((identity) = (sk_c9))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1452])).
% 1.40/0.93 thf(zip_derived_cl1453, plain, (((identity) = (sk_c9))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1452])).
% 1.40/0.93 thf(zip_derived_cl1544, plain,
% 1.40/0.93 ((((inverse @ sk_c6) != (identity)) | ((identity) = (sk_c8)))),
% 1.40/0.93 inference('demod', [status(thm)],
% 1.40/0.93 [zip_derived_cl1045, zip_derived_cl1453, zip_derived_cl438,
% 1.40/0.93 zip_derived_cl1453, zip_derived_cl1453])).
% 1.40/0.93 thf(zip_derived_cl1601, plain, (((identity) = (sk_c8))),
% 1.40/0.93 inference('clc', [status(thm)], [zip_derived_cl1513, zip_derived_cl1544])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl1601, plain, (((identity) = (sk_c8))),
% 1.40/0.93 inference('clc', [status(thm)], [zip_derived_cl1513, zip_derived_cl1544])).
% 1.40/0.93 thf(zip_derived_cl1601, plain, (((identity) = (sk_c8))),
% 1.40/0.93 inference('clc', [status(thm)], [zip_derived_cl1513, zip_derived_cl1544])).
% 1.40/0.93 thf(zip_derived_cl1601, plain, (((identity) = (sk_c8))),
% 1.40/0.93 inference('clc', [status(thm)], [zip_derived_cl1513, zip_derived_cl1544])).
% 1.40/0.93 thf(zip_derived_cl0, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_identity])).
% 1.40/0.93 thf(zip_derived_cl95, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i]:
% 1.40/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.93 thf(zip_derived_cl104, plain,
% 1.40/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl95])).
% 1.40/0.93 thf(zip_derived_cl95, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i]:
% 1.40/0.93 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl0])).
% 1.40/0.93 thf(zip_derived_cl131, plain,
% 1.40/0.93 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl95])).
% 1.40/0.93 thf(zip_derived_cl1, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.40/0.93 inference('cnf', [status(esa)], [left_inverse])).
% 1.40/0.93 thf(zip_derived_cl302, plain, (((inverse @ identity) = (identity))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl1601, plain, (((identity) = (sk_c8))),
% 1.40/0.93 inference('clc', [status(thm)], [zip_derived_cl1513, zip_derived_cl1544])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl1615, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((X0) != (identity))
% 1.40/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.40/0.93 | ((inverse @ X2) != (X1))
% 1.40/0.93 | ((X1) != (identity))
% 1.40/0.93 | ((identity) != (identity))
% 1.40/0.93 | ((inverse @ X3) != (identity))
% 1.40/0.93 | ((X3) != (identity)))),
% 1.40/0.93 inference('demod', [status(thm)],
% 1.40/0.93 [zip_derived_cl1584, zip_derived_cl1601, zip_derived_cl438,
% 1.40/0.93 zip_derived_cl1601, zip_derived_cl1601, zip_derived_cl1601,
% 1.40/0.93 zip_derived_cl302, zip_derived_cl1601, zip_derived_cl438])).
% 1.40/0.93 thf(zip_derived_cl1616, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.93 (((X3) != (identity))
% 1.40/0.93 | ((inverse @ X3) != (identity))
% 1.40/0.93 | ((X1) != (identity))
% 1.40/0.93 | ((inverse @ X2) != (X1))
% 1.40/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.40/0.93 | ((X0) != (identity))
% 1.40/0.93 | ((inverse @ X0) != (identity)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1615])).
% 1.40/0.93 thf(zip_derived_cl1655, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((X0) != (identity))
% 1.40/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.40/0.93 | ((inverse @ X2) != (X1))
% 1.40/0.93 | ((X1) != (identity))
% 1.40/0.93 | ((inverse @ identity) != (identity)))),
% 1.40/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1616])).
% 1.40/0.93 thf(zip_derived_cl302, plain, (((inverse @ identity) = (identity))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl1656, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((X0) != (identity))
% 1.40/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.40/0.93 | ((inverse @ X2) != (X1))
% 1.40/0.93 | ((X1) != (identity))
% 1.40/0.93 | ((identity) != (identity)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl1655, zip_derived_cl302])).
% 1.40/0.93 thf(zip_derived_cl1657, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.93 (((X1) != (identity))
% 1.40/0.93 | ((inverse @ X2) != (X1))
% 1.40/0.93 | ((multiply @ X2 @ X1) != (identity))
% 1.40/0.93 | ((X0) != (identity))
% 1.40/0.93 | ((inverse @ X0) != (identity)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1656])).
% 1.40/0.93 thf(zip_derived_cl1658, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((X0) != (identity))
% 1.40/0.93 | ((multiply @ X1 @ identity) != (identity))
% 1.40/0.93 | ((inverse @ X1) != (identity)))),
% 1.40/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1657])).
% 1.40/0.93 thf(zip_derived_cl438, plain,
% 1.40/0.93 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl105, zip_derived_cl102])).
% 1.40/0.93 thf(zip_derived_cl1659, plain,
% 1.40/0.93 (![X0 : $i, X1 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((X0) != (identity))
% 1.40/0.93 | ((X1) != (identity))
% 1.40/0.93 | ((inverse @ X1) != (identity)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl1658, zip_derived_cl438])).
% 1.40/0.93 thf(zip_derived_cl1660, plain,
% 1.40/0.93 (![X0 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((X0) != (identity))
% 1.40/0.93 | ((inverse @ identity) != (identity)))),
% 1.40/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1659])).
% 1.40/0.93 thf(zip_derived_cl302, plain, (((inverse @ identity) = (identity))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl1661, plain,
% 1.40/0.93 (![X0 : $i]:
% 1.40/0.93 (((inverse @ X0) != (identity))
% 1.40/0.93 | ((X0) != (identity))
% 1.40/0.93 | ((identity) != (identity)))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl1660, zip_derived_cl302])).
% 1.40/0.93 thf(zip_derived_cl1662, plain,
% 1.40/0.93 (![X0 : $i]: (((X0) != (identity)) | ((inverse @ X0) != (identity)))),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1661])).
% 1.40/0.93 thf(zip_derived_cl1663, plain, (((inverse @ identity) != (identity))),
% 1.40/0.93 inference('eq_res', [status(thm)], [zip_derived_cl1662])).
% 1.40/0.93 thf(zip_derived_cl302, plain, (((inverse @ identity) = (identity))),
% 1.40/0.93 inference('sup+', [status(thm)], [zip_derived_cl131, zip_derived_cl1])).
% 1.40/0.93 thf(zip_derived_cl1664, plain, (((identity) != (identity))),
% 1.40/0.93 inference('demod', [status(thm)], [zip_derived_cl1663, zip_derived_cl302])).
% 1.40/0.93 thf(zip_derived_cl1665, plain, ($false),
% 1.40/0.93 inference('simplify', [status(thm)], [zip_derived_cl1664])).
% 1.40/0.93
% 1.40/0.93 % SZS output end Refutation
% 1.40/0.93
% 1.40/0.93
% 1.40/0.93 % Terminating...
% 1.56/1.08 % Runner terminated.
% 1.65/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------