%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP224-1 : TPTP v9.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OvZUpraK6Z true
% Computer : n002.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 Oct 2 04:36:02 PM UTC 2025
% Result : Unsatisfiable 5.85s 1.47s
% Output : Refutation 5.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP224-1 : TPTP v9.2.0. Released v2.5.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OvZUpraK6Z true
% 0.14/0.37 % Computer : n002.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Oct 1 14:06:53 EDT 2025
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.6.8
% 0.14/0.38 % Running in FO mode
% 0.63/0.71 % Total configuration time : 435
% 0.63/0.71 % Estimated wc time : 1092
% 0.63/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.65/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.65/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.65/0.80 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.65/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.65/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 5.85/1.47 % Solved by fo/fo7.sh.
% 5.85/1.47 % done 1610 iterations in 0.661s
% 5.85/1.47 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 5.85/1.47 % SZS output start Refutation
% 5.85/1.47 thf(sk_c7_type, type, sk_c7: $i).
% 5.85/1.47 thf(sk_c4_type, type, sk_c4: $i).
% 5.85/1.47 thf(sk_c9_type, type, sk_c9: $i).
% 5.85/1.47 thf(sk_c10_type, type, sk_c10: $i).
% 5.85/1.47 thf(identity_type, type, identity: $i).
% 5.85/1.47 thf(multiply_type, type, multiply: $i > $i > $i).
% 5.85/1.47 thf(sk_c11_type, type, sk_c11: $i).
% 5.85/1.47 thf(sk_c2_type, type, sk_c2: $i).
% 5.85/1.47 thf(inverse_type, type, inverse: $i > $i).
% 5.85/1.47 thf(sk_c5_type, type, sk_c5: $i).
% 5.85/1.47 thf(sk_c3_type, type, sk_c3: $i).
% 5.85/1.47 thf(sk_c8_type, type, sk_c8: $i).
% 5.85/1.47 thf(sk_c1_type, type, sk_c1: $i).
% 5.85/1.47 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 5.85/1.47 thf(zip_derived_cl1, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_inverse])).
% 5.85/1.47 thf(zip_derived_cl1, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_inverse])).
% 5.85/1.47 thf(associativity, axiom,
% 5.85/1.47 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 5.85/1.47 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 5.85/1.47 thf(zip_derived_cl2, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.85/1.47 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 5.85/1.47 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 5.85/1.47 inference('cnf', [status(esa)], [associativity])).
% 5.85/1.47 thf(zip_derived_cl116, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 ((multiply @ identity @ X0)
% 5.85/1.47 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 5.85/1.47 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 5.85/1.47 thf(zip_derived_cl0, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_identity])).
% 5.85/1.47 thf(zip_derived_cl151, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 5.85/1.47 thf(zip_derived_cl163, plain,
% 5.85/1.47 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl151])).
% 5.85/1.47 thf(zip_derived_cl151, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 5.85/1.47 thf(zip_derived_cl151, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 5.85/1.47 thf(zip_derived_cl160, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 ((multiply @ X1 @ X0) = (multiply @ (inverse @ (inverse @ X1)) @ X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl151])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl163, plain,
% 5.85/1.47 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl151])).
% 5.85/1.47 thf(zip_derived_cl864, plain,
% 5.85/1.47 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl826, zip_derived_cl163])).
% 5.85/1.47 thf(prove_this_51, conjecture,
% 5.85/1.47 (~( ( ( multiply @ X9 @ sk_c11 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ X9 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ X8 @ sk_c11 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ X7 ) != ( X8 ) ) |
% 5.85/1.47 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ X3 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ X2 ) != ( X1 ) ) |
% 5.85/1.47 ( ( multiply @ X2 @ X1 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ X6 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ X6 @ sk_c11 ) != ( X5 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ X5 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ X4 ) != ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_0, negated_conjecture,
% 5.85/1.47 (( ( multiply @ X9 @ sk_c11 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ X9 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ X8 @ sk_c11 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ X7 ) != ( X8 ) ) |
% 5.85/1.47 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ X3 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ X1 @ sk_c10 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ X2 ) != ( X1 ) ) |
% 5.85/1.47 ( ( multiply @ X2 @ X1 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ X6 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ X6 @ sk_c11 ) != ( X5 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ X5 ) != ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ X4 @ sk_c10 ) != ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ X4 ) != ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_51])).
% 5.85/1.47 thf(zip_derived_cl53, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.85/1.47 X7 : $i, X8 : $i]:
% 5.85/1.47 (((multiply @ X0 @ sk_c11) != (sk_c10))
% 5.85/1.47 | ((inverse @ X0) != (sk_c10))
% 5.85/1.47 | ((multiply @ X1 @ sk_c11) != (sk_c10))
% 5.85/1.47 | ((inverse @ X2) != (X1))
% 5.85/1.47 | ((multiply @ X2 @ X1) != (sk_c10))
% 5.85/1.47 | ((multiply @ X3 @ sk_c10) != (sk_c11))
% 5.85/1.47 | ((inverse @ X3) != (sk_c11))
% 5.85/1.47 | ((multiply @ X4 @ sk_c10) != (sk_c11))
% 5.85/1.47 | ((inverse @ X5) != (X4))
% 5.85/1.47 | ((multiply @ X5 @ X4) != (sk_c11))
% 5.85/1.47 | ((inverse @ X6) != (sk_c11))
% 5.85/1.47 | ((multiply @ X6 @ sk_c11) != (X7))
% 5.85/1.47 | ((multiply @ sk_c11 @ X7) != (sk_c10))
% 5.85/1.47 | ((multiply @ X8 @ sk_c10) != (sk_c11))
% 5.85/1.47 | ((inverse @ X8) != (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.85/1.47 thf(zip_derived_cl870, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 5.85/1.47 X7 : $i, X8 : $i]:
% 5.85/1.47 (((X0) != (sk_c10))
% 5.85/1.47 | ((inverse @ X1) != (sk_c11))
% 5.85/1.47 | ((multiply @ X1 @ sk_c10) != (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c11 @ X2) != (sk_c10))
% 5.85/1.47 | ((multiply @ X3 @ sk_c11) != (X2))
% 5.85/1.47 | ((inverse @ X3) != (sk_c11))
% 5.85/1.47 | ((multiply @ X5 @ X4) != (sk_c11))
% 5.85/1.47 | ((inverse @ X5) != (X4))
% 5.85/1.47 | ((multiply @ X4 @ sk_c10) != (sk_c11))
% 5.85/1.47 | ((inverse @ X6) != (sk_c11))
% 5.85/1.47 | ((multiply @ X6 @ sk_c10) != (sk_c11))
% 5.85/1.47 | ((multiply @ X8 @ X7) != (sk_c10))
% 5.85/1.47 | ((inverse @ X8) != (X7))
% 5.85/1.47 | ((multiply @ X7 @ sk_c11) != (sk_c10))
% 5.85/1.47 | ((multiply @ (inverse @ X0) @ sk_c11) != (sk_c10)))),
% 5.85/1.47 inference('sup-', [status(thm)], [zip_derived_cl864, zip_derived_cl53])).
% 5.85/1.47 thf(zip_derived_cl1039, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.85/1.47 (((multiply @ (inverse @ sk_c10) @ sk_c11) != (sk_c10))
% 5.85/1.47 | ((multiply @ X0 @ sk_c11) != (sk_c10))
% 5.85/1.47 | ((inverse @ X1) != (X0))
% 5.85/1.47 | ((multiply @ X1 @ X0) != (sk_c10))
% 5.85/1.47 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 5.85/1.47 | ((inverse @ X2) != (sk_c11))
% 5.85/1.47 | ((multiply @ X3 @ sk_c10) != (sk_c11))
% 5.85/1.47 | ((inverse @ X4) != (X3))
% 5.85/1.47 | ((multiply @ X4 @ X3) != (sk_c11))
% 5.85/1.47 | ((inverse @ X5) != (sk_c11))
% 5.85/1.47 | ((multiply @ X5 @ sk_c11) != (X6))
% 5.85/1.47 | ((multiply @ sk_c11 @ X6) != (sk_c10))
% 5.85/1.47 | ((multiply @ X7 @ sk_c10) != (sk_c11))
% 5.85/1.47 | ((inverse @ X7) != (sk_c11)))),
% 5.85/1.47 inference('eq_res', [status(thm)], [zip_derived_cl870])).
% 5.85/1.47 thf(prove_this_7, conjecture,
% 5.85/1.47 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_1, negated_conjecture,
% 5.85/1.47 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 5.85/1.47 thf(zip_derived_cl9, plain,
% 5.85/1.47 ((((inverse @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.85/1.47 thf(prove_this_6, conjecture,
% 5.85/1.47 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_2, negated_conjecture,
% 5.85/1.47 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 5.85/1.47 thf(zip_derived_cl8, plain,
% 5.85/1.47 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.85/1.47 thf(zip_derived_cl85, plain,
% 5.85/1.47 ((((multiply @ sk_c7 @ (inverse @ sk_c7)) = (sk_c10))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl8])).
% 5.85/1.47 thf(zip_derived_cl87, plain,
% 5.85/1.47 ((((inverse @ sk_c1) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c7 @ (inverse @ sk_c7)) = (sk_c10)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl85])).
% 5.85/1.47 thf(zip_derived_cl864, plain,
% 5.85/1.47 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl826, zip_derived_cl163])).
% 5.85/1.47 thf(zip_derived_cl1, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_inverse])).
% 5.85/1.47 thf(zip_derived_cl869, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl1339, plain,
% 5.85/1.47 ((((inverse @ sk_c1) = (sk_c11)) | ((identity) = (sk_c10)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl869])).
% 5.85/1.47 thf(prove_this_9, conjecture,
% 5.85/1.47 (~( ( ( inverse @ sk_c9 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_3, negated_conjecture,
% 5.85/1.47 (( ( inverse @ sk_c9 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 5.85/1.47 thf(zip_derived_cl11, plain,
% 5.85/1.47 ((((inverse @ sk_c9) = (sk_c10)) | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.85/1.47 thf(zip_derived_cl1, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_inverse])).
% 5.85/1.47 thf(zip_derived_cl57, plain,
% 5.85/1.47 ((((multiply @ sk_c10 @ sk_c9) = (identity))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl1370, plain,
% 5.85/1.47 ((((multiply @ identity @ sk_c9) = (identity))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl1339, zip_derived_cl57])).
% 5.85/1.47 thf(zip_derived_cl1385, plain,
% 5.85/1.47 ((((inverse @ sk_c1) = (sk_c11))
% 5.85/1.47 | ((multiply @ identity @ sk_c9) = (identity)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl1370])).
% 5.85/1.47 thf(zip_derived_cl0, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_identity])).
% 5.85/1.47 thf(zip_derived_cl2291, plain,
% 5.85/1.47 ((((identity) = (sk_c9)) | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl1385, zip_derived_cl0])).
% 5.85/1.47 thf(prove_this_10, conjecture,
% 5.85/1.47 (~( ( ( multiply @ sk_c9 @ sk_c11 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_4, negated_conjecture,
% 5.85/1.47 (( ( multiply @ sk_c9 @ sk_c11 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 5.85/1.47 thf(zip_derived_cl12, plain,
% 5.85/1.47 ((((multiply @ sk_c9 @ sk_c11) = (sk_c10))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.85/1.47 thf(zip_derived_cl2299, plain,
% 5.85/1.47 ((((multiply @ identity @ sk_c11) = (sk_c10))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl2291, zip_derived_cl12])).
% 5.85/1.47 thf(zip_derived_cl0, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_identity])).
% 5.85/1.47 thf(zip_derived_cl2313, plain,
% 5.85/1.47 ((((sk_c11) = (sk_c10))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl2299, zip_derived_cl0])).
% 5.85/1.47 thf(zip_derived_cl2314, plain,
% 5.85/1.47 ((((inverse @ sk_c1) = (sk_c11)) | ((sk_c11) = (sk_c10)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl2313])).
% 5.85/1.47 thf(zip_derived_cl1339, plain,
% 5.85/1.47 ((((inverse @ sk_c1) = (sk_c11)) | ((identity) = (sk_c10)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl87, zip_derived_cl869])).
% 5.85/1.47 thf(zip_derived_cl2339, plain,
% 5.85/1.47 ((((identity) = (sk_c11))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11))
% 5.85/1.47 | ((inverse @ sk_c1) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl2314, zip_derived_cl1339])).
% 5.85/1.47 thf(zip_derived_cl2353, plain,
% 5.85/1.47 ((((inverse @ sk_c1) = (sk_c11)) | ((identity) = (sk_c11)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl2339])).
% 5.85/1.47 thf(prove_this_42, conjecture,
% 5.85/1.47 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_5, negated_conjecture,
% 5.85/1.47 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 5.85/1.47 thf(zip_derived_cl44, plain,
% 5.85/1.47 ((((inverse @ sk_c4) = (sk_c5)) | ((inverse @ sk_c2) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.85/1.47 thf(prove_this_32, conjecture,
% 5.85/1.47 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 5.85/1.47 thf(zf_stmt_6, negated_conjecture,
% 5.85/1.47 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 5.85/1.47 thf(zip_derived_cl34, plain,
% 5.85/1.47 ((((inverse @ sk_c4) = (sk_c5)) | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.85/1.47 thf(zip_derived_cl151, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 5.85/1.47 thf(zip_derived_cl193, plain,
% 5.85/1.47 ((((sk_c11) = (multiply @ (inverse @ sk_c2) @ sk_c3))
% 5.85/1.47 | ((inverse @ sk_c4) = (sk_c5)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl151])).
% 5.85/1.47 thf(zip_derived_cl520, plain,
% 5.85/1.47 ((((sk_c11) = (multiply @ sk_c11 @ sk_c3))
% 5.85/1.47 | ((inverse @ sk_c4) = (sk_c5))
% 5.85/1.47 | ((inverse @ sk_c4) = (sk_c5)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl193])).
% 5.85/1.47 thf(zip_derived_cl535, plain,
% 5.85/1.47 ((((inverse @ sk_c4) = (sk_c5))
% 5.85/1.47 | ((sk_c11) = (multiply @ sk_c11 @ sk_c3)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl520])).
% 5.85/1.47 thf(prove_this_22, conjecture,
% 5.85/1.47 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 5.85/1.47 thf(zf_stmt_7, negated_conjecture,
% 5.85/1.47 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 5.85/1.47 thf(zip_derived_cl24, plain,
% 5.85/1.47 ((((inverse @ sk_c4) = (sk_c5))
% 5.85/1.47 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.85/1.47 thf(zip_derived_cl567, plain,
% 5.85/1.47 ((((sk_c11) = (sk_c10))
% 5.85/1.47 | ((inverse @ sk_c4) = (sk_c5))
% 5.85/1.47 | ((inverse @ sk_c4) = (sk_c5)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl535, zip_derived_cl24])).
% 5.85/1.47 thf(zip_derived_cl584, plain,
% 5.85/1.47 ((((inverse @ sk_c4) = (sk_c5)) | ((sk_c11) = (sk_c10)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl567])).
% 5.85/1.47 thf(prove_this_12, conjecture,
% 5.85/1.47 (~( ( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_8, negated_conjecture,
% 5.85/1.47 (( ( inverse @ sk_c4 ) = ( sk_c5 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_12])).
% 5.85/1.47 thf(zip_derived_cl14, plain,
% 5.85/1.47 ((((inverse @ sk_c4) = (sk_c5))
% 5.85/1.47 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.85/1.47 thf(zip_derived_cl588, plain,
% 5.85/1.47 ((((multiply @ sk_c1 @ sk_c11) = (sk_c11))
% 5.85/1.47 | ((inverse @ sk_c4) = (sk_c5))
% 5.85/1.47 | ((inverse @ sk_c4) = (sk_c5)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl584, zip_derived_cl14])).
% 5.85/1.47 thf(zip_derived_cl598, plain,
% 5.85/1.47 ((((inverse @ sk_c4) = (sk_c5))
% 5.85/1.47 | ((multiply @ sk_c1 @ sk_c11) = (sk_c11)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl588])).
% 5.85/1.47 thf(prove_this_41, conjecture,
% 5.85/1.47 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_9, negated_conjecture,
% 5.85/1.47 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 5.85/1.47 thf(zip_derived_cl43, plain,
% 5.85/1.47 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((inverse @ sk_c2) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.85/1.47 thf(zip_derived_cl864, plain,
% 5.85/1.47 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl826, zip_derived_cl163])).
% 5.85/1.47 thf(zip_derived_cl879, plain,
% 5.85/1.47 ((((sk_c2) = (inverse @ sk_c11))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl43, zip_derived_cl864])).
% 5.85/1.47 thf(prove_this_31, conjecture,
% 5.85/1.47 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 5.85/1.47 thf(zf_stmt_10, negated_conjecture,
% 5.85/1.47 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 5.85/1.47 thf(zip_derived_cl33, plain,
% 5.85/1.47 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_10])).
% 5.85/1.47 thf(zip_derived_cl1291, plain,
% 5.85/1.47 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c3))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl879, zip_derived_cl33])).
% 5.85/1.47 thf(zip_derived_cl1, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_inverse])).
% 5.85/1.47 thf(zip_derived_cl1316, plain,
% 5.85/1.47 ((((identity) = (sk_c3))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl1291, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl1317, plain,
% 5.85/1.47 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11)) | ((identity) = (sk_c3)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl1316])).
% 5.85/1.47 thf(prove_this_21, conjecture,
% 5.85/1.47 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 5.85/1.47 thf(zf_stmt_11, negated_conjecture,
% 5.85/1.47 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 5.85/1.47 thf(zip_derived_cl23, plain,
% 5.85/1.47 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_11])).
% 5.85/1.47 thf(zip_derived_cl1391, plain,
% 5.85/1.47 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl1317, zip_derived_cl23])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl1409, plain,
% 5.85/1.47 ((((sk_c11) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl1391, zip_derived_cl826])).
% 5.85/1.47 thf(zip_derived_cl1410, plain,
% 5.85/1.47 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11)) | ((sk_c11) = (sk_c10)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl1409])).
% 5.85/1.47 thf(prove_this_11, conjecture,
% 5.85/1.47 (~( ( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_12, negated_conjecture,
% 5.85/1.47 (( ( multiply @ sk_c4 @ sk_c5 ) = ( sk_c11 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c1 @ sk_c10 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 5.85/1.47 thf(zip_derived_cl13, plain,
% 5.85/1.47 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c1 @ sk_c10) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_12])).
% 5.85/1.47 thf(zip_derived_cl1424, plain,
% 5.85/1.47 ((((multiply @ sk_c1 @ sk_c11) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c4 @ sk_c5) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl1410, zip_derived_cl13])).
% 5.85/1.47 thf(zip_derived_cl1439, plain,
% 5.85/1.47 ((((multiply @ sk_c4 @ sk_c5) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c1 @ sk_c11) = (sk_c11)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl1424])).
% 5.85/1.47 thf(zip_derived_cl10182, plain,
% 5.85/1.47 ((((multiply @ sk_c4 @ (inverse @ sk_c4)) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c1 @ sk_c11) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c1 @ sk_c11) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl598, zip_derived_cl1439])).
% 5.85/1.47 thf(zip_derived_cl869, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl10190, plain,
% 5.85/1.47 ((((identity) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c1 @ sk_c11) = (sk_c11))
% 5.85/1.47 | ((multiply @ sk_c1 @ sk_c11) = (sk_c11)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10182, zip_derived_cl869])).
% 5.85/1.47 thf(zip_derived_cl10191, plain,
% 5.85/1.47 ((((multiply @ sk_c1 @ sk_c11) = (sk_c11)) | ((identity) = (sk_c11)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10190])).
% 5.85/1.47 thf(zip_derived_cl10197, plain,
% 5.85/1.47 ((((multiply @ sk_c1 @ (inverse @ sk_c1)) = (sk_c11))
% 5.85/1.47 | ((identity) = (sk_c11))
% 5.85/1.47 | ((identity) = (sk_c11)))),
% 5.85/1.47 inference('sup+', [status(thm)],
% 5.85/1.47 [zip_derived_cl2353, zip_derived_cl10191])).
% 5.85/1.47 thf(zip_derived_cl869, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl10198, plain,
% 5.85/1.47 ((((identity) = (sk_c11))
% 5.85/1.47 | ((identity) = (sk_c11))
% 5.85/1.47 | ((identity) = (sk_c11)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10197, zip_derived_cl869])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl0, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_identity])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl10330, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.85/1.47 (((inverse @ sk_c10) != (sk_c10))
% 5.85/1.47 | ((X0) != (sk_c10))
% 5.85/1.47 | ((inverse @ X1) != (X0))
% 5.85/1.47 | ((multiply @ X1 @ X0) != (sk_c10))
% 5.85/1.47 | ((multiply @ X2 @ sk_c10) != (identity))
% 5.85/1.47 | ((inverse @ X2) != (identity))
% 5.85/1.47 | ((multiply @ X3 @ sk_c10) != (identity))
% 5.85/1.47 | ((inverse @ X4) != (X3))
% 5.85/1.47 | ((multiply @ X4 @ X3) != (identity))
% 5.85/1.47 | ((inverse @ X5) != (identity))
% 5.85/1.47 | ((X5) != (X6))
% 5.85/1.47 | ((X6) != (sk_c10))
% 5.85/1.47 | ((multiply @ X7 @ sk_c10) != (identity))
% 5.85/1.47 | ((inverse @ X7) != (identity)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl1039, zip_derived_cl10199, zip_derived_cl826,
% 5.85/1.47 zip_derived_cl10199, zip_derived_cl826, zip_derived_cl10199,
% 5.85/1.47 zip_derived_cl10199, zip_derived_cl10199,
% 5.85/1.47 zip_derived_cl10199, zip_derived_cl10199,
% 5.85/1.47 zip_derived_cl10199, zip_derived_cl826, zip_derived_cl10199,
% 5.85/1.47 zip_derived_cl0, zip_derived_cl10199, zip_derived_cl10199])).
% 5.85/1.47 thf(prove_this_47, conjecture,
% 5.85/1.47 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_13, negated_conjecture,
% 5.85/1.47 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_47])).
% 5.85/1.47 thf(zip_derived_cl49, plain,
% 5.85/1.47 ((((inverse @ sk_c7) = (sk_c8)) | ((inverse @ sk_c2) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_13])).
% 5.85/1.47 thf(prove_this_37, conjecture,
% 5.85/1.47 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 5.85/1.47 thf(zf_stmt_14, negated_conjecture,
% 5.85/1.47 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 5.85/1.47 thf(zip_derived_cl39, plain,
% 5.85/1.47 ((((inverse @ sk_c7) = (sk_c8)) | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_14])).
% 5.85/1.47 thf(zip_derived_cl151, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 5.85/1.47 thf(zip_derived_cl196, plain,
% 5.85/1.47 ((((sk_c11) = (multiply @ (inverse @ sk_c2) @ sk_c3))
% 5.85/1.47 | ((inverse @ sk_c7) = (sk_c8)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl39, zip_derived_cl151])).
% 5.85/1.47 thf(zip_derived_cl684, plain,
% 5.85/1.47 ((((sk_c11) = (multiply @ sk_c11 @ sk_c3))
% 5.85/1.47 | ((inverse @ sk_c7) = (sk_c8))
% 5.85/1.47 | ((inverse @ sk_c7) = (sk_c8)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl49, zip_derived_cl196])).
% 5.85/1.47 thf(zip_derived_cl694, plain,
% 5.85/1.47 ((((inverse @ sk_c7) = (sk_c8))
% 5.85/1.47 | ((sk_c11) = (multiply @ sk_c11 @ sk_c3)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl684])).
% 5.85/1.47 thf(prove_this_27, conjecture,
% 5.85/1.47 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 5.85/1.47 thf(zf_stmt_15, negated_conjecture,
% 5.85/1.47 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_27])).
% 5.85/1.47 thf(zip_derived_cl29, plain,
% 5.85/1.47 ((((inverse @ sk_c7) = (sk_c8))
% 5.85/1.47 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_15])).
% 5.85/1.47 thf(zip_derived_cl719, plain,
% 5.85/1.47 ((((sk_c11) = (sk_c10))
% 5.85/1.47 | ((inverse @ sk_c7) = (sk_c8))
% 5.85/1.47 | ((inverse @ sk_c7) = (sk_c8)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl694, zip_derived_cl29])).
% 5.85/1.47 thf(zip_derived_cl734, plain,
% 5.85/1.47 ((((inverse @ sk_c7) = (sk_c8)) | ((sk_c11) = (sk_c10)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl719])).
% 5.85/1.47 thf(prove_this_46, conjecture,
% 5.85/1.47 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c2 ) = ( sk_c11 ) ) ))).
% 5.85/1.47 thf(zf_stmt_16, negated_conjecture,
% 5.85/1.47 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( inverse @ sk_c2 ) = ( sk_c11 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 5.85/1.47 thf(zip_derived_cl48, plain,
% 5.85/1.47 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 5.85/1.47 | ((inverse @ sk_c2) = (sk_c11)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_16])).
% 5.85/1.47 thf(zip_derived_cl864, plain,
% 5.85/1.47 (![X0 : $i]: ((X0) = (inverse @ (inverse @ X0)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl826, zip_derived_cl163])).
% 5.85/1.47 thf(zip_derived_cl884, plain,
% 5.85/1.47 ((((sk_c2) = (inverse @ sk_c11))
% 5.85/1.47 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl48, zip_derived_cl864])).
% 5.85/1.47 thf(prove_this_36, conjecture,
% 5.85/1.47 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) ) ))).
% 5.85/1.47 thf(zf_stmt_17, negated_conjecture,
% 5.85/1.47 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c2 @ sk_c11 ) = ( sk_c3 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_36])).
% 5.85/1.47 thf(zip_derived_cl38, plain,
% 5.85/1.47 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c2 @ sk_c11) = (sk_c3)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_17])).
% 5.85/1.47 thf(zip_derived_cl1193, plain,
% 5.85/1.47 ((((multiply @ (inverse @ sk_c11) @ sk_c11) = (sk_c3))
% 5.85/1.47 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl884, zip_derived_cl38])).
% 5.85/1.47 thf(zip_derived_cl1, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_inverse])).
% 5.85/1.47 thf(zip_derived_cl1218, plain,
% 5.85/1.47 ((((identity) = (sk_c3))
% 5.85/1.47 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl1193, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl1219, plain,
% 5.85/1.47 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10)) | ((identity) = (sk_c3)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl1218])).
% 5.85/1.47 thf(prove_this_26, conjecture,
% 5.85/1.47 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) ) ))).
% 5.85/1.47 thf(zf_stmt_18, negated_conjecture,
% 5.85/1.47 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 5.85/1.47 ( ( multiply @ sk_c11 @ sk_c3 ) = ( sk_c10 ) )),
% 5.85/1.47 inference('cnf.neg', [status(esa)], [prove_this_26])).
% 5.85/1.47 thf(zip_derived_cl28, plain,
% 5.85/1.47 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c11 @ sk_c3) = (sk_c10)))),
% 5.85/1.47 inference('cnf', [status(esa)], [zf_stmt_18])).
% 5.85/1.47 thf(zip_derived_cl1244, plain,
% 5.85/1.47 ((((multiply @ sk_c11 @ identity) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl1219, zip_derived_cl28])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl1262, plain,
% 5.85/1.47 ((((sk_c11) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 5.85/1.47 | ((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl1244, zip_derived_cl826])).
% 5.85/1.47 thf(zip_derived_cl1263, plain,
% 5.85/1.47 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl1262])).
% 5.85/1.47 thf(zip_derived_cl1585, plain,
% 5.85/1.47 ((((multiply @ sk_c7 @ (inverse @ sk_c7)) = (sk_c10))
% 5.85/1.47 | ((sk_c11) = (sk_c10))
% 5.85/1.47 | ((sk_c11) = (sk_c10)))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl734, zip_derived_cl1263])).
% 5.85/1.47 thf(zip_derived_cl869, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ (inverse @ X0)) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl864, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl1589, plain,
% 5.85/1.47 ((((identity) = (sk_c10)) | ((sk_c11) = (sk_c10)) | ((sk_c11) = (sk_c10)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl1585, zip_derived_cl869])).
% 5.85/1.47 thf(zip_derived_cl1590, plain,
% 5.85/1.47 ((((sk_c11) = (sk_c10)) | ((identity) = (sk_c10)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl1589])).
% 5.85/1.47 thf(zip_derived_cl10199, plain, (((identity) = (sk_c11))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 5.85/1.47 thf(zip_derived_cl10364, plain,
% 5.85/1.47 ((((identity) = (sk_c10)) | ((identity) = (sk_c10)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl1590, zip_derived_cl10199])).
% 5.85/1.47 thf(zip_derived_cl10365, plain, (((identity) = (sk_c10))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10364])).
% 5.85/1.47 thf(zip_derived_cl0, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_identity])).
% 5.85/1.47 thf(zip_derived_cl151, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 5.85/1.47 thf(zip_derived_cl162, plain,
% 5.85/1.47 (![X0 : $i]: ((X0) = (multiply @ (inverse @ identity) @ X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl0, zip_derived_cl151])).
% 5.85/1.47 thf(zip_derived_cl151, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 5.85/1.47 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl0])).
% 5.85/1.47 thf(zip_derived_cl214, plain,
% 5.85/1.47 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ identity)) @ X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl151])).
% 5.85/1.47 thf(zip_derived_cl1, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 5.85/1.47 inference('cnf', [status(esa)], [left_inverse])).
% 5.85/1.47 thf(zip_derived_cl749, plain, (((inverse @ identity) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl10365, plain, (((identity) = (sk_c10))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10364])).
% 5.85/1.47 thf(zip_derived_cl10365, plain, (((identity) = (sk_c10))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10364])).
% 5.85/1.47 thf(zip_derived_cl10365, plain, (((identity) = (sk_c10))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10364])).
% 5.85/1.47 thf(zip_derived_cl10365, plain, (((identity) = (sk_c10))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10364])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl10365, plain, (((identity) = (sk_c10))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10364])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl10365, plain, (((identity) = (sk_c10))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10364])).
% 5.85/1.47 thf(zip_derived_cl10365, plain, (((identity) = (sk_c10))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10364])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl10527, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.85/1.47 (((identity) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (X0))
% 5.85/1.47 | ((multiply @ X1 @ X0) != (identity))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X2) != (identity))
% 5.85/1.47 | ((X3) != (identity))
% 5.85/1.47 | ((inverse @ X4) != (X3))
% 5.85/1.47 | ((multiply @ X4 @ X3) != (identity))
% 5.85/1.47 | ((inverse @ X5) != (identity))
% 5.85/1.47 | ((X5) != (X6))
% 5.85/1.47 | ((X6) != (identity))
% 5.85/1.47 | ((X7) != (identity))
% 5.85/1.47 | ((inverse @ X7) != (identity)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10330, zip_derived_cl10365, zip_derived_cl749,
% 5.85/1.47 zip_derived_cl10365, zip_derived_cl10365,
% 5.85/1.47 zip_derived_cl10365, zip_derived_cl10365, zip_derived_cl826,
% 5.85/1.47 zip_derived_cl10365, zip_derived_cl826, zip_derived_cl10365,
% 5.85/1.47 zip_derived_cl10365, zip_derived_cl826])).
% 5.85/1.47 thf(zip_derived_cl10528, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 5.85/1.47 (((inverse @ X7) != (identity))
% 5.85/1.47 | ((X7) != (identity))
% 5.85/1.47 | ((X6) != (identity))
% 5.85/1.47 | ((X5) != (X6))
% 5.85/1.47 | ((inverse @ X5) != (identity))
% 5.85/1.47 | ((multiply @ X4 @ X3) != (identity))
% 5.85/1.47 | ((inverse @ X4) != (X3))
% 5.85/1.47 | ((X3) != (identity))
% 5.85/1.47 | ((inverse @ X2) != (identity))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((multiply @ X1 @ X0) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (X0))
% 5.85/1.47 | ((X0) != (identity)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10527])).
% 5.85/1.47 thf(zip_derived_cl10529, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 5.85/1.47 (((X0) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (X0))
% 5.85/1.47 | ((multiply @ X1 @ X0) != (identity))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X2) != (identity))
% 5.85/1.47 | ((X3) != (identity))
% 5.85/1.47 | ((inverse @ X4) != (X3))
% 5.85/1.47 | ((multiply @ X4 @ X3) != (identity))
% 5.85/1.47 | ((inverse @ X5) != (identity))
% 5.85/1.47 | ((X5) != (identity))
% 5.85/1.47 | ((X6) != (identity))
% 5.85/1.47 | ((inverse @ X6) != (identity)))),
% 5.85/1.47 inference('eq_res', [status(thm)], [zip_derived_cl10528])).
% 5.85/1.47 thf(zip_derived_cl10530, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.85/1.47 (((inverse @ X0) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((multiply @ X3 @ X2) != (identity))
% 5.85/1.47 | ((inverse @ X3) != (X2))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X4) != (identity))
% 5.85/1.47 | ((X4) != (identity))
% 5.85/1.47 | ((multiply @ X5 @ identity) != (identity))
% 5.85/1.47 | ((inverse @ X5) != (identity)))),
% 5.85/1.47 inference('eq_res', [status(thm)], [zip_derived_cl10529])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl10531, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.85/1.47 (((inverse @ X0) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((multiply @ X3 @ X2) != (identity))
% 5.85/1.47 | ((inverse @ X3) != (X2))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X4) != (identity))
% 5.85/1.47 | ((X4) != (identity))
% 5.85/1.47 | ((X5) != (identity))
% 5.85/1.47 | ((inverse @ X5) != (identity)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10530, zip_derived_cl826])).
% 5.85/1.47 thf(zip_derived_cl10532, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.85/1.47 (((inverse @ X0) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X3) != (X2))
% 5.85/1.47 | ((multiply @ X3 @ X2) != (identity))
% 5.85/1.47 | ((inverse @ X4) != (identity))
% 5.85/1.47 | ((X4) != (identity))
% 5.85/1.47 | ((inverse @ identity) != (identity)))),
% 5.85/1.47 inference('eq_res', [status(thm)], [zip_derived_cl10531])).
% 5.85/1.47 thf(zip_derived_cl749, plain, (((inverse @ identity) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl10533, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.85/1.47 (((inverse @ X0) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X3) != (X2))
% 5.85/1.47 | ((multiply @ X3 @ X2) != (identity))
% 5.85/1.47 | ((inverse @ X4) != (identity))
% 5.85/1.47 | ((X4) != (identity))
% 5.85/1.47 | ((identity) != (identity)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10532, zip_derived_cl749])).
% 5.85/1.47 thf(zip_derived_cl10534, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 5.85/1.47 (((X4) != (identity))
% 5.85/1.47 | ((inverse @ X4) != (identity))
% 5.85/1.47 | ((multiply @ X3 @ X2) != (identity))
% 5.85/1.47 | ((inverse @ X3) != (X2))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((inverse @ X0) != (identity)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10533])).
% 5.85/1.47 thf(zip_derived_cl10535, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.85/1.47 (((inverse @ X0) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X3) != (X2))
% 5.85/1.47 | ((multiply @ X3 @ X2) != (identity))
% 5.85/1.47 | ((inverse @ identity) != (identity)))),
% 5.85/1.47 inference('eq_res', [status(thm)], [zip_derived_cl10534])).
% 5.85/1.47 thf(zip_derived_cl749, plain, (((inverse @ identity) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl10536, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.85/1.47 (((inverse @ X0) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X3) != (X2))
% 5.85/1.47 | ((multiply @ X3 @ X2) != (identity))
% 5.85/1.47 | ((identity) != (identity)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10535, zip_derived_cl749])).
% 5.85/1.47 thf(zip_derived_cl10537, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 5.85/1.47 (((multiply @ X3 @ X2) != (identity))
% 5.85/1.47 | ((inverse @ X3) != (X2))
% 5.85/1.47 | ((X2) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((inverse @ X0) != (identity)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10536])).
% 5.85/1.47 thf(zip_derived_cl10538, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.85/1.47 (((inverse @ X0) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((inverse @ X2) != (identity))
% 5.85/1.47 | ((multiply @ X2 @ identity) != (identity)))),
% 5.85/1.47 inference('eq_res', [status(thm)], [zip_derived_cl10537])).
% 5.85/1.47 thf(zip_derived_cl826, plain,
% 5.85/1.47 (![X0 : $i]: ((multiply @ X0 @ identity) = (X0))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl163, zip_derived_cl160])).
% 5.85/1.47 thf(zip_derived_cl10539, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i, X2 : $i]:
% 5.85/1.47 (((inverse @ X0) != (identity))
% 5.85/1.47 | ((X0) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((inverse @ X2) != (identity))
% 5.85/1.47 | ((X2) != (identity)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10538, zip_derived_cl826])).
% 5.85/1.47 thf(zip_derived_cl10560, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 (((X0) != (identity))
% 5.85/1.47 | ((inverse @ X0) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((inverse @ identity) != (identity)))),
% 5.85/1.47 inference('eq_res', [status(thm)], [zip_derived_cl10539])).
% 5.85/1.47 thf(zip_derived_cl749, plain, (((inverse @ identity) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl10561, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 (((X0) != (identity))
% 5.85/1.47 | ((inverse @ X0) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((X1) != (identity))
% 5.85/1.47 | ((identity) != (identity)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10560, zip_derived_cl749])).
% 5.85/1.47 thf(zip_derived_cl10562, plain,
% 5.85/1.47 (![X0 : $i, X1 : $i]:
% 5.85/1.47 (((X1) != (identity))
% 5.85/1.47 | ((inverse @ X1) != (identity))
% 5.85/1.47 | ((inverse @ X0) != (identity))
% 5.85/1.47 | ((X0) != (identity)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10561])).
% 5.85/1.47 thf(zip_derived_cl10563, plain,
% 5.85/1.47 (![X0 : $i]:
% 5.85/1.47 (((X0) != (identity))
% 5.85/1.47 | ((inverse @ X0) != (identity))
% 5.85/1.47 | ((inverse @ identity) != (identity)))),
% 5.85/1.47 inference('eq_res', [status(thm)], [zip_derived_cl10562])).
% 5.85/1.47 thf(zip_derived_cl749, plain, (((inverse @ identity) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl10564, plain,
% 5.85/1.47 (![X0 : $i]:
% 5.85/1.47 (((X0) != (identity))
% 5.85/1.47 | ((inverse @ X0) != (identity))
% 5.85/1.47 | ((identity) != (identity)))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10563, zip_derived_cl749])).
% 5.85/1.47 thf(zip_derived_cl10565, plain,
% 5.85/1.47 (![X0 : $i]: (((inverse @ X0) != (identity)) | ((X0) != (identity)))),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10564])).
% 5.85/1.47 thf(zip_derived_cl10566, plain, (((inverse @ identity) != (identity))),
% 5.85/1.47 inference('eq_res', [status(thm)], [zip_derived_cl10565])).
% 5.85/1.47 thf(zip_derived_cl749, plain, (((inverse @ identity) = (identity))),
% 5.85/1.47 inference('sup+', [status(thm)], [zip_derived_cl214, zip_derived_cl1])).
% 5.85/1.47 thf(zip_derived_cl10567, plain, (((identity) != (identity))),
% 5.85/1.47 inference('demod', [status(thm)],
% 5.85/1.47 [zip_derived_cl10566, zip_derived_cl749])).
% 5.85/1.47 thf(zip_derived_cl10568, plain, ($false),
% 5.85/1.47 inference('simplify', [status(thm)], [zip_derived_cl10567])).
% 5.85/1.47
% 5.85/1.47 % SZS output end Refutation
% 5.85/1.47
% 5.85/1.47
% 5.85/1.47 % Terminating...
% 5.85/1.51 % Runner terminated.
% 5.85/1.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------