TSTP Solution File: GRP252-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP252-1 : 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.HYXRy8H5Xr true
% Computer : n001.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 01:50:54 EDT 2023
% Result : Unsatisfiable 1.35s 1.50s
% Output : Refutation 1.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP252-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HYXRy8H5Xr true
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 23:43:51 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.35/1.50 % Solved by fo/fo7.sh.
% 1.35/1.50 % done 2164 iterations in 0.704s
% 1.35/1.50 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/1.50 % SZS output start Refutation
% 1.35/1.50 thf(sk_c7_type, type, sk_c7: $i).
% 1.35/1.50 thf(sk_c9_type, type, sk_c9: $i).
% 1.35/1.50 thf(sk_c2_type, type, sk_c2: $i).
% 1.35/1.50 thf(sk_c8_type, type, sk_c8: $i).
% 1.35/1.50 thf(sk_c5_type, type, sk_c5: $i).
% 1.35/1.50 thf(identity_type, type, identity: $i).
% 1.35/1.50 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.35/1.50 thf(sk_c10_type, type, sk_c10: $i).
% 1.35/1.50 thf(inverse_type, type, inverse: $i > $i).
% 1.35/1.50 thf(sk_c4_type, type, sk_c4: $i).
% 1.35/1.50 thf(sk_c6_type, type, sk_c6: $i).
% 1.35/1.50 thf(sk_c1_type, type, sk_c1: $i).
% 1.35/1.50 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(associativity, axiom,
% 1.35/1.50 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.35/1.50 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.35/1.50 thf(zip_derived_cl2, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.50 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.50 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.50 thf(zip_derived_cl131, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((multiply @ identity @ X0)
% 1.35/1.50 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.35/1.50 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.35/1.50 thf(zip_derived_cl0, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl179, plain,
% 1.35/1.50 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl163])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl176, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl163])).
% 1.35/1.50 thf(zip_derived_cl985, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.35/1.50 thf(zip_derived_cl179, plain,
% 1.35/1.50 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl163])).
% 1.35/1.50 thf(zip_derived_cl1026, plain,
% 1.35/1.50 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl179])).
% 1.35/1.50 thf(prove_this_43, conjecture,
% 1.35/1.50 (~( ( ( inverse @ X7 ) != ( sk_c8 ) ) |
% 1.35/1.50 ( ( multiply @ X7 @ sk_c8 ) != ( X3 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c8 @ X3 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.35/1.50 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.35/1.50 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ X6 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.35/1.50 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 1.35/1.50 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c9 ) ) ))).
% 1.35/1.50 thf(zf_stmt_0, negated_conjecture,
% 1.35/1.50 (( ( inverse @ X7 ) != ( sk_c8 ) ) |
% 1.35/1.50 ( ( multiply @ X7 @ sk_c8 ) != ( X3 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c8 @ X3 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ X2 ) != ( sk_c8 ) ) |
% 1.35/1.50 ( ( multiply @ X2 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ X1 ) != ( sk_c10 ) ) |
% 1.35/1.50 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ X6 @ sk_c8 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ X6 ) != ( sk_c9 ) ) | ( ( inverse @ X5 ) != ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ X5 @ sk_c9 ) != ( sk_c8 ) ) |
% 1.35/1.50 ( ( inverse @ X4 ) != ( sk_c10 ) ) |
% 1.35/1.50 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c9 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_43])).
% 1.35/1.50 thf(zip_derived_cl45, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.35/1.50 (((inverse @ X0) != (sk_c8))
% 1.35/1.50 | ((multiply @ X0 @ sk_c8) != (X1))
% 1.35/1.50 | ((multiply @ sk_c8 @ X1) != (sk_c9))
% 1.35/1.50 | ((inverse @ X2) != (sk_c8))
% 1.35/1.50 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((multiply @ X4 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((inverse @ X4) != (sk_c9))
% 1.35/1.50 | ((inverse @ X5) != (sk_c9))
% 1.35/1.50 | ((multiply @ X5 @ sk_c9) != (sk_c8))
% 1.35/1.50 | ((inverse @ X6) != (sk_c10))
% 1.35/1.50 | ((multiply @ X6 @ sk_c10) != (sk_c9)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.35/1.50 thf(zip_derived_cl1035, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.35/1.50 (((X0) != (sk_c8))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((multiply @ X2 @ sk_c9) != (sk_c8))
% 1.35/1.50 | ((inverse @ X2) != (sk_c9))
% 1.35/1.50 | ((inverse @ X3) != (sk_c9))
% 1.35/1.50 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((multiply @ X4 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X4) != (sk_c10))
% 1.35/1.50 | ((multiply @ X5 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((inverse @ X5) != (sk_c8))
% 1.35/1.50 | ((multiply @ sk_c8 @ X6) != (sk_c9))
% 1.35/1.50 | ((multiply @ (inverse @ X0) @ sk_c8) != (X6)))),
% 1.35/1.50 inference('sup-', [status(thm)], [zip_derived_cl1026, zip_derived_cl45])).
% 1.35/1.50 thf(zip_derived_cl1211, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.35/1.50 (((multiply @ (inverse @ sk_c8) @ sk_c8) != (X0))
% 1.35/1.50 | ((multiply @ sk_c8 @ X0) != (sk_c9))
% 1.35/1.50 | ((inverse @ X1) != (sk_c8))
% 1.35/1.50 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((inverse @ X2) != (sk_c10))
% 1.35/1.50 | ((multiply @ X2 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((inverse @ X3) != (sk_c9))
% 1.35/1.50 | ((inverse @ X4) != (sk_c9))
% 1.35/1.50 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 1.35/1.50 | ((inverse @ X5) != (sk_c10))
% 1.35/1.50 | ((multiply @ X5 @ sk_c10) != (sk_c9)))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl1035])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl1212, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.35/1.50 (((identity) != (X0))
% 1.35/1.50 | ((multiply @ sk_c8 @ X0) != (sk_c9))
% 1.35/1.50 | ((inverse @ X1) != (sk_c8))
% 1.35/1.50 | ((multiply @ X1 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((inverse @ X2) != (sk_c10))
% 1.35/1.50 | ((multiply @ X2 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((multiply @ X3 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((inverse @ X3) != (sk_c9))
% 1.35/1.50 | ((inverse @ X4) != (sk_c9))
% 1.35/1.50 | ((multiply @ X4 @ sk_c9) != (sk_c8))
% 1.35/1.50 | ((inverse @ X5) != (sk_c10))
% 1.35/1.50 | ((multiply @ X5 @ sk_c10) != (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl1211, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl1213, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c9) != (sk_c8))
% 1.35/1.50 | ((inverse @ X1) != (sk_c9))
% 1.35/1.50 | ((inverse @ X2) != (sk_c9))
% 1.35/1.50 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((multiply @ X4 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((inverse @ X4) != (sk_c8))
% 1.35/1.50 | ((multiply @ sk_c8 @ identity) != (sk_c9)))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl1212])).
% 1.35/1.50 thf(zip_derived_cl985, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.35/1.50 thf(zip_derived_cl1214, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c9) != (sk_c8))
% 1.35/1.50 | ((inverse @ X1) != (sk_c9))
% 1.35/1.50 | ((inverse @ X2) != (sk_c9))
% 1.35/1.50 | ((multiply @ X2 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((multiply @ X4 @ sk_c8) != (sk_c9))
% 1.35/1.50 | ((inverse @ X4) != (sk_c8))
% 1.35/1.50 | ((sk_c8) != (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl1213, zip_derived_cl985])).
% 1.35/1.50 thf(zip_derived_cl1215, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 1.35/1.50 | ((inverse @ X1) != (sk_c9))
% 1.35/1.50 | ((inverse @ X2) != (sk_c9))
% 1.35/1.50 | ((multiply @ X2 @ sk_c9) != (sk_c9))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((multiply @ X4 @ sk_c9) != (sk_c9))
% 1.35/1.50 | ((inverse @ X4) != (sk_c9))
% 1.35/1.50 | ((sk_c8) != (sk_c9)))),
% 1.35/1.50 inference('local_rewriting', [status(thm)], [zip_derived_cl1214])).
% 1.35/1.50 thf(prove_this_28, conjecture,
% 1.35/1.50 (~( ( ( inverse @ sk_c6 ) = ( sk_c8 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.35/1.50 thf(zf_stmt_1, negated_conjecture,
% 1.35/1.50 (( ( inverse @ sk_c6 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 1.35/1.50 thf(zip_derived_cl30, plain,
% 1.35/1.50 ((((inverse @ sk_c6) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl65, plain,
% 1.35/1.50 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.35/1.50 | ((inverse @ sk_c6) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl186, plain,
% 1.35/1.50 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.35/1.50 | ((inverse @ sk_c6) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl65, zip_derived_cl163])).
% 1.35/1.50 thf(prove_this_21, conjecture,
% 1.35/1.50 (~( ( ( inverse @ sk_c6 ) = ( sk_c8 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.35/1.50 thf(zf_stmt_2, negated_conjecture,
% 1.35/1.50 (( ( inverse @ sk_c6 ) = ( sk_c8 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.35/1.50 thf(zip_derived_cl23, plain,
% 1.35/1.50 ((((inverse @ sk_c6) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.35/1.50 thf(zip_derived_cl388, plain,
% 1.35/1.50 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.35/1.50 = (sk_c8))
% 1.35/1.50 | ((inverse @ sk_c6) = (sk_c8))
% 1.35/1.50 | ((inverse @ sk_c6) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl186, zip_derived_cl23])).
% 1.35/1.50 thf(zip_derived_cl2, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.50 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.50 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.50 thf(zip_derived_cl0, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl405, plain,
% 1.35/1.50 ((((identity) = (sk_c8))
% 1.35/1.50 | ((inverse @ sk_c6) = (sk_c8))
% 1.35/1.50 | ((inverse @ sk_c6) = (sk_c8)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl388, zip_derived_cl2, zip_derived_cl0,
% 1.35/1.50 zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl406, plain,
% 1.35/1.50 ((((inverse @ sk_c6) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl405])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl431, plain,
% 1.35/1.50 ((((multiply @ sk_c8 @ sk_c6) = (identity)) | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl406, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl590, plain,
% 1.35/1.50 ((((sk_c6) = (multiply @ (inverse @ sk_c8) @ identity))
% 1.35/1.50 | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl431, zip_derived_cl163])).
% 1.35/1.50 thf(zip_derived_cl985, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.35/1.50 thf(zip_derived_cl1019, plain,
% 1.35/1.50 ((((sk_c6) = (inverse @ sk_c8)) | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl590, zip_derived_cl985])).
% 1.35/1.50 thf(prove_this_27, conjecture,
% 1.35/1.50 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.35/1.50 thf(zf_stmt_3, negated_conjecture,
% 1.35/1.50 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 1.35/1.50 thf(zip_derived_cl29, plain,
% 1.35/1.50 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.35/1.50 thf(zip_derived_cl1026, plain,
% 1.35/1.50 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl179])).
% 1.35/1.50 thf(zip_derived_cl1050, plain,
% 1.35/1.50 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl29, zip_derived_cl1026])).
% 1.35/1.50 thf(prove_this_20, conjecture,
% 1.35/1.50 (~( ( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.35/1.50 thf(zf_stmt_4, negated_conjecture,
% 1.35/1.50 (( ( multiply @ sk_c6 @ sk_c8 ) = ( sk_c7 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_20])).
% 1.35/1.50 thf(zip_derived_cl22, plain,
% 1.35/1.50 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 1.35/1.50 | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.35/1.50 thf(zip_derived_cl1611, plain,
% 1.35/1.50 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.35/1.50 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 1.35/1.50 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1050, zip_derived_cl22])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl1628, plain,
% 1.35/1.50 ((((identity) = (sk_c8))
% 1.35/1.50 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7))
% 1.35/1.50 | ((multiply @ sk_c6 @ sk_c8) = (sk_c7)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl1611, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl1629, plain,
% 1.35/1.50 ((((multiply @ sk_c6 @ sk_c8) = (sk_c7)) | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl1628])).
% 1.35/1.50 thf(zip_derived_cl2311, plain,
% 1.35/1.50 ((((multiply @ (inverse @ sk_c8) @ sk_c8) = (sk_c7))
% 1.35/1.50 | ((identity) = (sk_c8))
% 1.35/1.50 | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1019, zip_derived_cl1629])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl2319, plain,
% 1.35/1.50 ((((identity) = (sk_c7))
% 1.35/1.50 | ((identity) = (sk_c8))
% 1.35/1.50 | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl2311, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl2320, plain,
% 1.35/1.50 ((((identity) = (sk_c8)) | ((identity) = (sk_c7)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl2319])).
% 1.35/1.50 thf(prove_this_26, conjecture,
% 1.35/1.50 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.35/1.50 thf(zf_stmt_5, negated_conjecture,
% 1.35/1.50 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 1.35/1.50 thf(zip_derived_cl28, plain,
% 1.35/1.50 ((((multiply @ sk_c8 @ sk_c7) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.35/1.50 thf(zip_derived_cl1026, plain,
% 1.35/1.50 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl179])).
% 1.35/1.50 thf(zip_derived_cl1049, plain,
% 1.35/1.50 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c8 @ sk_c7) = (sk_c9)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl28, zip_derived_cl1026])).
% 1.35/1.50 thf(prove_this_19, conjecture,
% 1.35/1.50 (~( ( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.35/1.50 thf(zf_stmt_6, negated_conjecture,
% 1.35/1.50 (( ( multiply @ sk_c8 @ sk_c7 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.35/1.50 thf(zip_derived_cl21, plain,
% 1.35/1.50 ((((multiply @ sk_c8 @ sk_c7) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.35/1.50 thf(zip_derived_cl2740, plain,
% 1.35/1.50 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.35/1.50 | ((multiply @ sk_c8 @ sk_c7) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c8 @ sk_c7) = (sk_c9)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1049, zip_derived_cl21])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl2757, plain,
% 1.35/1.50 ((((identity) = (sk_c8))
% 1.35/1.50 | ((multiply @ sk_c8 @ sk_c7) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c8 @ sk_c7) = (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl2740, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl2758, plain,
% 1.35/1.50 ((((multiply @ sk_c8 @ sk_c7) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl2757])).
% 1.35/1.50 thf(zip_derived_cl3005, plain,
% 1.35/1.50 ((((multiply @ sk_c8 @ identity) = (sk_c9))
% 1.35/1.50 | ((identity) = (sk_c8))
% 1.35/1.50 | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl2320, zip_derived_cl2758])).
% 1.35/1.50 thf(zip_derived_cl3021, plain,
% 1.35/1.50 ((((identity) = (sk_c8)) | ((multiply @ sk_c8 @ identity) = (sk_c9)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl3005])).
% 1.35/1.50 thf(zip_derived_cl985, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.35/1.50 thf(zip_derived_cl3028, plain,
% 1.35/1.50 ((((sk_c9) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl3021, zip_derived_cl985])).
% 1.35/1.50 thf(zip_derived_cl3207, plain,
% 1.35/1.50 ((((sk_c9) != (identity)) | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('eq_fact', [status(thm)], [zip_derived_cl3028])).
% 1.35/1.50 thf(prove_this_25, conjecture,
% 1.35/1.50 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.35/1.50 thf(zf_stmt_7, negated_conjecture,
% 1.35/1.50 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_25])).
% 1.35/1.50 thf(zip_derived_cl27, plain,
% 1.35/1.50 ((((inverse @ sk_c5) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl52, plain,
% 1.35/1.50 ((((multiply @ sk_c9 @ sk_c2) = (identity))
% 1.35/1.50 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl184, plain,
% 1.35/1.50 ((((sk_c2) = (multiply @ (inverse @ sk_c9) @ identity))
% 1.35/1.50 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl163])).
% 1.35/1.50 thf(prove_this_18, conjecture,
% 1.35/1.50 (~( ( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.35/1.50 thf(zf_stmt_8, negated_conjecture,
% 1.35/1.50 (( ( inverse @ sk_c5 ) = ( sk_c8 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.35/1.50 thf(zip_derived_cl20, plain,
% 1.35/1.50 ((((inverse @ sk_c5) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.35/1.50 thf(zip_derived_cl260, plain,
% 1.35/1.50 ((((multiply @ (multiply @ (inverse @ sk_c9) @ identity) @ sk_c9)
% 1.35/1.50 = (sk_c8))
% 1.35/1.50 | ((inverse @ sk_c5) = (sk_c8))
% 1.35/1.50 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl20])).
% 1.35/1.50 thf(zip_derived_cl2, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.50 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.50 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.50 thf(zip_derived_cl0, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl277, plain,
% 1.35/1.50 ((((identity) = (sk_c8))
% 1.35/1.50 | ((inverse @ sk_c5) = (sk_c8))
% 1.35/1.50 | ((inverse @ sk_c5) = (sk_c8)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl260, zip_derived_cl2, zip_derived_cl0,
% 1.35/1.50 zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl278, plain,
% 1.35/1.50 ((((inverse @ sk_c5) = (sk_c8)) | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl277])).
% 1.35/1.50 thf(prove_this_24, conjecture,
% 1.35/1.50 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c2 ) = ( sk_c9 ) ) ))).
% 1.35/1.50 thf(zf_stmt_9, negated_conjecture,
% 1.35/1.50 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c2 ) = ( sk_c9 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_24])).
% 1.35/1.50 thf(zip_derived_cl26, plain,
% 1.35/1.50 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((inverse @ sk_c2) = (sk_c9)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.35/1.50 thf(zip_derived_cl1026, plain,
% 1.35/1.50 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl179])).
% 1.35/1.50 thf(zip_derived_cl1047, plain,
% 1.35/1.50 ((((sk_c2) = (inverse @ sk_c9)) | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl26, zip_derived_cl1026])).
% 1.35/1.50 thf(prove_this_17, conjecture,
% 1.35/1.50 (~( ( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) ) ))).
% 1.35/1.50 thf(zf_stmt_10, negated_conjecture,
% 1.35/1.50 (( ( multiply @ sk_c5 @ sk_c8 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c2 @ sk_c9 ) = ( sk_c8 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.35/1.50 thf(zip_derived_cl19, plain,
% 1.35/1.50 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c2 @ sk_c9) = (sk_c8)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.35/1.50 thf(zip_derived_cl2702, plain,
% 1.35/1.50 ((((multiply @ (inverse @ sk_c9) @ sk_c9) = (sk_c8))
% 1.35/1.50 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1047, zip_derived_cl19])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl2719, plain,
% 1.35/1.50 ((((identity) = (sk_c8))
% 1.35/1.50 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c5 @ sk_c8) = (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl2702, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl2720, plain,
% 1.35/1.50 ((((multiply @ sk_c5 @ sk_c8) = (sk_c9)) | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl2719])).
% 1.35/1.50 thf(zip_derived_cl2879, plain,
% 1.35/1.50 ((((multiply @ sk_c5 @ (inverse @ sk_c5)) = (sk_c9))
% 1.35/1.50 | ((identity) = (sk_c8))
% 1.35/1.50 | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl278, zip_derived_cl2720])).
% 1.35/1.50 thf(zip_derived_cl1026, plain,
% 1.35/1.50 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl985, zip_derived_cl179])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl1034, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1026, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl2892, plain,
% 1.35/1.50 ((((identity) = (sk_c9))
% 1.35/1.50 | ((identity) = (sk_c8))
% 1.35/1.50 | ((identity) = (sk_c8)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl2879, zip_derived_cl1034])).
% 1.35/1.50 thf(zip_derived_cl2893, plain,
% 1.35/1.50 ((((identity) = (sk_c8)) | ((identity) = (sk_c9)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl2892])).
% 1.35/1.50 thf(zip_derived_cl3281, plain, (((identity) = (sk_c8))),
% 1.35/1.50 inference('clc', [status(thm)], [zip_derived_cl3207, zip_derived_cl2893])).
% 1.35/1.50 thf(zip_derived_cl3347, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X0 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c9) != (sk_c9))
% 1.35/1.50 | ((inverse @ X1) != (sk_c9))
% 1.35/1.50 | ((inverse @ X2) != (sk_c9))
% 1.35/1.50 | ((multiply @ X2 @ sk_c9) != (sk_c9))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((multiply @ X4 @ sk_c9) != (sk_c9))
% 1.35/1.50 | ((inverse @ X4) != (sk_c9))
% 1.35/1.50 | ((identity) != (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl1215, zip_derived_cl3281])).
% 1.35/1.50 thf(zip_derived_cl3348, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X0 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ identity) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((multiply @ X2 @ identity) != (identity))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((multiply @ X4 @ identity) != (identity))
% 1.35/1.50 | ((inverse @ X4) != (identity))
% 1.35/1.50 | ((identity) != (sk_c9)))),
% 1.35/1.50 inference('local_rewriting', [status(thm)], [zip_derived_cl3347])).
% 1.35/1.50 thf(zip_derived_cl985, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.35/1.50 thf(zip_derived_cl985, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.35/1.50 thf(zip_derived_cl985, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl179, zip_derived_cl176])).
% 1.35/1.50 thf(zip_derived_cl3349, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X0 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((X4) != (identity))
% 1.35/1.50 | ((inverse @ X4) != (identity))
% 1.35/1.50 | ((identity) != (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl3348, zip_derived_cl985, zip_derived_cl985,
% 1.35/1.50 zip_derived_cl985])).
% 1.35/1.50 thf(prove_this_9, conjecture,
% 1.35/1.50 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.35/1.50 thf(zf_stmt_11, negated_conjecture,
% 1.35/1.50 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.35/1.50 thf(zip_derived_cl11, plain,
% 1.35/1.50 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.35/1.50 thf(zip_derived_cl11, plain,
% 1.35/1.50 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.35/1.50 thf(zip_derived_cl1034, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1026, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl1561, plain,
% 1.35/1.50 ((((multiply @ sk_c4 @ sk_c10) = (identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1034])).
% 1.35/1.50 thf(zip_derived_cl11, plain,
% 1.35/1.50 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.35/1.50 thf(zip_derived_cl11, plain,
% 1.35/1.50 ((((inverse @ sk_c4) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl48, plain,
% 1.35/1.50 ((((multiply @ sk_c10 @ sk_c4) = (identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl182, plain,
% 1.35/1.50 ((((sk_c4) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl163])).
% 1.35/1.50 thf(prove_this_8, conjecture,
% 1.35/1.50 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c1 ) = ( sk_c10 ) ) ))).
% 1.35/1.50 thf(zf_stmt_12, negated_conjecture,
% 1.35/1.50 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( inverse @ sk_c1 ) = ( sk_c10 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.35/1.50 thf(zip_derived_cl10, plain,
% 1.35/1.50 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.35/1.50 thf(zip_derived_cl235, plain,
% 1.35/1.50 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.35/1.50 = (sk_c9))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl10])).
% 1.35/1.50 thf(zip_derived_cl2, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.50 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.50 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.50 thf(zip_derived_cl0, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl240, plain,
% 1.35/1.50 ((((identity) = (sk_c9))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl235, zip_derived_cl2, zip_derived_cl0,
% 1.35/1.50 zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl241, plain,
% 1.35/1.50 ((((inverse @ sk_c1) = (sk_c10)) | ((identity) = (sk_c9)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 1.35/1.50 thf(zip_derived_cl3349, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X0 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((X4) != (identity))
% 1.35/1.50 | ((inverse @ X4) != (identity))
% 1.35/1.50 | ((identity) != (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl3348, zip_derived_cl985, zip_derived_cl985,
% 1.35/1.50 zip_derived_cl985])).
% 1.35/1.50 thf(zip_derived_cl3466, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((identity) != (identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ X0) != (identity))
% 1.35/1.50 | ((X0) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (identity))
% 1.35/1.50 | ((X3) != (identity))
% 1.35/1.50 | ((inverse @ X4) != (sk_c10))
% 1.35/1.50 | ((multiply @ X4 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('sup-', [status(thm)], [zip_derived_cl241, zip_derived_cl3349])).
% 1.35/1.50 thf(zip_derived_cl3468, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X4 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X4) != (sk_c10))
% 1.35/1.50 | ((X3) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((X0) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl3466])).
% 1.35/1.50 thf(zip_derived_cl12486, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.50 (((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ X0) != (identity))
% 1.35/1.50 | ((X0) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((inverse @ identity) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl3468])).
% 1.35/1.50 thf(zip_derived_cl0, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl178, plain,
% 1.35/1.50 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl163])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl231, plain,
% 1.35/1.50 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl178, zip_derived_cl163])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl12487, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.50 (((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ X0) != (identity))
% 1.35/1.50 | ((X0) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((identity) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((multiply @ X3 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl12486, zip_derived_cl784])).
% 1.35/1.50 thf(zip_derived_cl12488, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.50 (((multiply @ X3 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (sk_c10))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((X0) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl12487])).
% 1.35/1.50 thf(zip_derived_cl12489, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 (((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ X0) != (identity))
% 1.35/1.50 | ((X0) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ identity) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (sk_c10))
% 1.35/1.50 | ((multiply @ X2 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl12488])).
% 1.35/1.50 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl12490, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 (((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ X0) != (identity))
% 1.35/1.50 | ((X0) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.35/1.50 | ((identity) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (sk_c10))
% 1.35/1.50 | ((multiply @ X2 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl12489, zip_derived_cl784])).
% 1.35/1.50 thf(zip_derived_cl12491, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 (((multiply @ X2 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((X0) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl12490])).
% 1.35/1.50 thf(zip_derived_cl12582, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 (((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ identity) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl12491])).
% 1.35/1.50 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl12583, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 (((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((identity) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((multiply @ X1 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl12582, zip_derived_cl784])).
% 1.35/1.50 thf(zip_derived_cl12584, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 (((multiply @ X1 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (sk_c10))
% 1.35/1.50 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl12583])).
% 1.35/1.50 thf(zip_derived_cl12601, plain,
% 1.35/1.50 (![X0 : $i]:
% 1.35/1.50 (((sk_c10) != (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.35/1.50 | ((multiply @ sk_c4 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl12584])).
% 1.35/1.50 thf(zip_derived_cl12665, plain,
% 1.35/1.50 (![X0 : $i]:
% 1.35/1.50 (((multiply @ sk_c4 @ sk_c10) != (identity))
% 1.35/1.50 | ((multiply @ X0 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl12601])).
% 1.35/1.50 thf(zip_derived_cl12712, plain,
% 1.35/1.50 (![X0 : $i]:
% 1.35/1.50 (((identity) != (identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((multiply @ X0 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('sup-', [status(thm)],
% 1.35/1.50 [zip_derived_cl1561, zip_derived_cl12665])).
% 1.35/1.50 thf(zip_derived_cl12722, plain,
% 1.35/1.50 (![X0 : $i]:
% 1.35/1.50 (((multiply @ X0 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl12712])).
% 1.35/1.50 thf(zip_derived_cl12749, plain,
% 1.35/1.50 ((((sk_c10) != (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10))
% 1.35/1.50 | ((multiply @ sk_c4 @ sk_c10) != (identity)))),
% 1.35/1.50 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl12722])).
% 1.35/1.50 thf(zip_derived_cl12813, plain,
% 1.35/1.50 ((((multiply @ sk_c4 @ sk_c10) != (identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl12749])).
% 1.35/1.50 thf(zip_derived_cl1561, plain,
% 1.35/1.50 ((((multiply @ sk_c4 @ sk_c10) = (identity))
% 1.35/1.50 | ((inverse @ sk_c1) = (sk_c10)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1034])).
% 1.35/1.50 thf(zip_derived_cl12857, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.35/1.50 inference('clc', [status(thm)], [zip_derived_cl12813, zip_derived_cl1561])).
% 1.35/1.50 thf(zip_derived_cl12857, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.35/1.50 inference('clc', [status(thm)], [zip_derived_cl12813, zip_derived_cl1561])).
% 1.35/1.50 thf(zip_derived_cl12857, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.35/1.50 inference('clc', [status(thm)], [zip_derived_cl12813, zip_derived_cl1561])).
% 1.35/1.50 thf(zip_derived_cl12857, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.35/1.50 inference('clc', [status(thm)], [zip_derived_cl12813, zip_derived_cl1561])).
% 1.35/1.50 thf(zip_derived_cl12902, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.35/1.50 | ((X4) != (identity))
% 1.35/1.50 | ((inverse @ X4) != (identity))
% 1.35/1.50 | ((identity) != (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl3349, zip_derived_cl12857, zip_derived_cl12857,
% 1.35/1.50 zip_derived_cl12857, zip_derived_cl12857])).
% 1.35/1.50 thf(prove_this_2, conjecture,
% 1.35/1.50 (~( ( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 1.35/1.50 thf(zf_stmt_13, negated_conjecture,
% 1.35/1.50 (( ( inverse @ sk_c4 ) = ( sk_c10 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.35/1.50 thf(zip_derived_cl4, plain,
% 1.35/1.50 ((((inverse @ sk_c4) = (sk_c10))
% 1.35/1.50 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl58, plain,
% 1.35/1.50 ((((multiply @ sk_c10 @ sk_c4) = (identity))
% 1.35/1.50 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl163, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.35/1.50 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl0])).
% 1.35/1.50 thf(zip_derived_cl183, plain,
% 1.35/1.50 ((((sk_c4) = (multiply @ (inverse @ sk_c10) @ identity))
% 1.35/1.50 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl163])).
% 1.35/1.50 thf(prove_this_1, conjecture,
% 1.35/1.50 (~( ( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 1.35/1.50 thf(zf_stmt_14, negated_conjecture,
% 1.35/1.50 (( ( multiply @ sk_c4 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.35/1.50 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c9 ) )),
% 1.35/1.50 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.35/1.50 thf(zip_derived_cl3, plain,
% 1.35/1.50 ((((multiply @ sk_c4 @ sk_c10) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 1.35/1.50 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.35/1.50 thf(zip_derived_cl487, plain,
% 1.35/1.50 ((((multiply @ (multiply @ (inverse @ sk_c10) @ identity) @ sk_c10)
% 1.35/1.50 = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl183, zip_derived_cl3])).
% 1.35/1.50 thf(zip_derived_cl2, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.35/1.50 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.35/1.50 inference('cnf', [status(esa)], [associativity])).
% 1.35/1.50 thf(zip_derived_cl0, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_identity])).
% 1.35/1.50 thf(zip_derived_cl1, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.35/1.50 inference('cnf', [status(esa)], [left_inverse])).
% 1.35/1.50 thf(zip_derived_cl493, plain,
% 1.35/1.50 ((((identity) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9))
% 1.35/1.50 | ((multiply @ sk_c1 @ sk_c10) = (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl487, zip_derived_cl2, zip_derived_cl0,
% 1.35/1.50 zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl494, plain,
% 1.35/1.50 ((((multiply @ sk_c1 @ sk_c10) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl493])).
% 1.35/1.50 thf(zip_derived_cl12857, plain, (((inverse @ sk_c1) = (sk_c10))),
% 1.35/1.50 inference('clc', [status(thm)], [zip_derived_cl12813, zip_derived_cl1561])).
% 1.35/1.50 thf(zip_derived_cl1034, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1026, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl12872, plain,
% 1.35/1.50 ((((identity) = (sk_c9)) | ((identity) = (sk_c9)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl494, zip_derived_cl12857, zip_derived_cl1034])).
% 1.35/1.50 thf(zip_derived_cl12873, plain, (((identity) = (sk_c9))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl12872])).
% 1.35/1.50 thf(zip_derived_cl13026, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.35/1.50 | ((X4) != (identity))
% 1.35/1.50 | ((inverse @ X4) != (identity))
% 1.35/1.50 | ((identity) != (identity)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl12902, zip_derived_cl12873])).
% 1.35/1.50 thf(zip_derived_cl13027, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.35/1.50 (((inverse @ X4) != (identity))
% 1.35/1.50 | ((X4) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl13026])).
% 1.35/1.50 thf(zip_derived_cl13028, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.35/1.50 | ((inverse @ identity) != (identity)))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl13027])).
% 1.35/1.50 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl13029, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X3) != (inverse @ sk_c1))
% 1.35/1.50 | ((identity) != (identity)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl13028, zip_derived_cl784])).
% 1.35/1.50 thf(zip_derived_cl13030, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.35/1.50 (((inverse @ X3) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ X3 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((X2) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl13029])).
% 1.35/1.50 thf(zip_derived_cl13031, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((inverse @ identity) != (identity))
% 1.35/1.50 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (inverse @ sk_c1)))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl13030])).
% 1.35/1.50 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl13032, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((identity) != (identity))
% 1.35/1.50 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X2) != (inverse @ sk_c1)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl13031, zip_derived_cl784])).
% 1.35/1.50 thf(zip_derived_cl13033, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.35/1.50 (((inverse @ X2) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ X2 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (identity))
% 1.35/1.50 | ((X1) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl13032])).
% 1.35/1.50 thf(zip_derived_cl13034, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((inverse @ identity) != (identity))
% 1.35/1.50 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (inverse @ sk_c1)))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl13033])).
% 1.35/1.50 thf(zip_derived_cl784, plain, (((inverse @ identity) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl231, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl13035, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((identity) != (identity))
% 1.35/1.50 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X1) != (inverse @ sk_c1)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl13034, zip_derived_cl784])).
% 1.35/1.50 thf(zip_derived_cl13036, plain,
% 1.35/1.50 (![X0 : $i, X1 : $i]:
% 1.35/1.50 (((inverse @ X1) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ X1 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl13035])).
% 1.35/1.50 thf(zip_derived_cl13038, plain,
% 1.35/1.50 (![X0 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity)))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl13036])).
% 1.35/1.50 thf(zip_derived_cl1034, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1026, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl13039, plain,
% 1.35/1.50 (![X0 : $i]:
% 1.35/1.50 (((multiply @ X0 @ (inverse @ sk_c1)) != (identity))
% 1.35/1.50 | ((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((identity) != (identity)))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl13038, zip_derived_cl1034])).
% 1.35/1.50 thf(zip_derived_cl13040, plain,
% 1.35/1.50 (![X0 : $i]:
% 1.35/1.50 (((inverse @ X0) != (inverse @ sk_c1))
% 1.35/1.50 | ((multiply @ X0 @ (inverse @ sk_c1)) != (identity)))),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl13039])).
% 1.35/1.50 thf(zip_derived_cl13042, plain,
% 1.35/1.50 (((multiply @ sk_c1 @ (inverse @ sk_c1)) != (identity))),
% 1.35/1.50 inference('eq_res', [status(thm)], [zip_derived_cl13040])).
% 1.35/1.50 thf(zip_derived_cl1034, plain,
% 1.35/1.50 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 1.35/1.50 inference('sup+', [status(thm)], [zip_derived_cl1026, zip_derived_cl1])).
% 1.35/1.50 thf(zip_derived_cl13043, plain, (((identity) != (identity))),
% 1.35/1.50 inference('demod', [status(thm)],
% 1.35/1.50 [zip_derived_cl13042, zip_derived_cl1034])).
% 1.35/1.50 thf(zip_derived_cl13044, plain, ($false),
% 1.35/1.50 inference('simplify', [status(thm)], [zip_derived_cl13043])).
% 1.35/1.50
% 1.35/1.50 % SZS output end Refutation
% 1.35/1.50
% 1.35/1.50
% 1.35/1.50 % Terminating...
% 6.94/1.60 % Runner terminated.
% 6.94/1.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------