TSTP Solution File: GRP244-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP244-1 : 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.YqerUwwmRg true
% Computer : n022.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 01:50:52 EDT 2023
% Result : Unsatisfiable 1.20s 1.06s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : GRP244-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YqerUwwmRg true
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 23:55:39 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
% 0.13/0.36 % Running in FO mode
% 0.19/0.59 % Total configuration time : 435
% 0.19/0.59 % Estimated wc time : 1092
% 0.19/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.20/1.06 % Solved by fo/fo1_av.sh.
% 1.20/1.06 % done 391 iterations in 0.285s
% 1.20/1.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.20/1.06 % SZS output start Refutation
% 1.20/1.06 thf(sk_c6_type, type, sk_c6: $i).
% 1.20/1.06 thf(sk_c10_type, type, sk_c10: $i).
% 1.20/1.06 thf(sk_c8_type, type, sk_c8: $i).
% 1.20/1.06 thf(sk_c9_type, type, sk_c9: $i).
% 1.20/1.06 thf(sk_c5_type, type, sk_c5: $i).
% 1.20/1.06 thf(identity_type, type, identity: $i).
% 1.20/1.06 thf(multiply_type, type, multiply: $i > $i > $i).
% 1.20/1.06 thf(sk_c11_type, type, sk_c11: $i).
% 1.20/1.06 thf(sk_c3_type, type, sk_c3: $i).
% 1.20/1.06 thf(inverse_type, type, inverse: $i > $i).
% 1.20/1.06 thf(sk_c4_type, type, sk_c4: $i).
% 1.20/1.06 thf(sk_c2_type, type, sk_c2: $i).
% 1.20/1.06 thf(sk_c7_type, type, sk_c7: $i).
% 1.20/1.06 thf(sk_c1_type, type, sk_c1: $i).
% 1.20/1.06 thf(prove_this_11, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_0, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_11])).
% 1.20/1.06 thf(zip_derived_cl13, plain,
% 1.20/1.06 ((((inverse @ sk_c4) = (sk_c11)) | ((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.20/1.06 thf('0', plain,
% 1.20/1.06 ((((inverse @ sk_c4) = (sk_c11))) | (((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl13])).
% 1.20/1.06 thf(prove_this_42, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_1, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c3 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_42])).
% 1.20/1.06 thf(zip_derived_cl44, plain,
% 1.20/1.06 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 1.20/1.06 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.20/1.06 thf('1', plain,
% 1.20/1.06 ((((inverse @ sk_c3) = (sk_c11))) |
% 1.20/1.06 (((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl44])).
% 1.20/1.06 thf(prove_this_51, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_2, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_51])).
% 1.20/1.06 thf(zip_derived_cl53, plain,
% 1.20/1.06 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 1.20/1.06 | ((multiply @ sk_c3 @ sk_c10) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.20/1.06 thf('2', plain,
% 1.20/1.06 ((((multiply @ sk_c3 @ sk_c10) = (sk_c11))) |
% 1.20/1.06 (((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl53])).
% 1.20/1.06 thf(prove_this_41, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_3, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c3 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_41])).
% 1.20/1.06 thf(zip_derived_cl43, plain,
% 1.20/1.06 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c3) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.20/1.06 thf('3', plain,
% 1.20/1.06 ((((inverse @ sk_c3) = (sk_c11))) | (((inverse @ sk_c6) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.20/1.06 thf(prove_this_50, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_4, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_50])).
% 1.20/1.06 thf(zip_derived_cl52, plain,
% 1.20/1.06 ((((inverse @ sk_c6) = (sk_c11))
% 1.20/1.06 | ((multiply @ sk_c3 @ sk_c10) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.20/1.06 thf('4', plain,
% 1.20/1.06 ((((multiply @ sk_c3 @ sk_c10) = (sk_c11))) |
% 1.20/1.06 (((inverse @ sk_c6) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl52])).
% 1.20/1.06 thf(prove_this_46, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_5, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c3 @ sk_c10 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_46])).
% 1.20/1.06 thf(zip_derived_cl48, plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))
% 1.20/1.06 | ((multiply @ sk_c3 @ sk_c10) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.20/1.06 thf(zip_derived_cl148, plain,
% 1.20/1.06 ((((multiply @ sk_c3 @ sk_c10) = (sk_c11)))
% 1.20/1.06 <= ((((multiply @ sk_c3 @ sk_c10) = (sk_c11))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl48])).
% 1.20/1.06 thf(prove_this_37, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c3 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_6, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c3 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_37])).
% 1.20/1.06 thf(zip_derived_cl39, plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))
% 1.20/1.06 | ((inverse @ sk_c3) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.20/1.06 thf(zip_derived_cl130, plain,
% 1.20/1.06 ((((inverse @ sk_c3) = (sk_c11))) <= ((((inverse @ sk_c3) = (sk_c11))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.20/1.06 thf(prove_this_55, conjecture,
% 1.20/1.06 (~( ( ( multiply @ X8 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ X7 ) != ( X8 ) ) |
% 1.20/1.06 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ X3 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.20/1.06 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ X6 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ X5 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ X5 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.20/1.06 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ X4 @ sk_c11 ) != ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_7, negated_conjecture,
% 1.20/1.06 (( ( multiply @ X8 @ sk_c9 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ X7 ) != ( X8 ) ) |
% 1.20/1.06 ( ( multiply @ X7 @ X8 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ X3 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ X3 ) != ( sk_c11 ) ) | ( ( inverse @ X2 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ X2 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.20/1.06 ( ( inverse @ X1 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ X1 @ sk_c11 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ X6 @ sk_c10 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ X6 ) != ( sk_c11 ) ) | ( ( inverse @ X5 ) != ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ X5 @ sk_c10 ) != ( sk_c9 ) ) |
% 1.20/1.06 ( ( inverse @ X4 ) != ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ X4 @ sk_c11 ) != ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_55])).
% 1.20/1.06 thf(zip_derived_cl57, plain,
% 1.20/1.06 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10))
% 1.20/1.06 | ((multiply @ X2 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X2) != (sk_c11))
% 1.20/1.06 | ((inverse @ X3) != (sk_c10))
% 1.20/1.06 | ((multiply @ X3 @ sk_c10) != (sk_c9))
% 1.20/1.06 | ((inverse @ X4) != (sk_c11))
% 1.20/1.06 | ((multiply @ X4 @ sk_c11) != (sk_c10))
% 1.20/1.06 | ((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11))
% 1.20/1.06 | ((inverse @ X6) != (sk_c10))
% 1.20/1.06 | ((multiply @ X6 @ sk_c10) != (sk_c9))
% 1.20/1.06 | ((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.20/1.06 thf(zip_derived_cl168, plain,
% 1.20/1.06 ((![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11))))
% 1.20/1.06 <= ((![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf(zip_derived_cl242, plain,
% 1.20/1.06 (((((multiply @ sk_c3 @ sk_c10) != (sk_c11)) | ((sk_c11) != (sk_c11))))
% 1.20/1.06 <= ((((inverse @ sk_c3) = (sk_c11))) &
% 1.20/1.06 (![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl168])).
% 1.20/1.06 thf(zip_derived_cl245, plain,
% 1.20/1.06 ((((multiply @ sk_c3 @ sk_c10) != (sk_c11)))
% 1.20/1.06 <= ((((inverse @ sk_c3) = (sk_c11))) &
% 1.20/1.06 (![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl242])).
% 1.20/1.06 thf(zip_derived_cl335, plain,
% 1.20/1.06 ((((sk_c11) != (sk_c11)))
% 1.20/1.06 <= ((((inverse @ sk_c3) = (sk_c11))) &
% 1.20/1.06 (((multiply @ sk_c3 @ sk_c10) = (sk_c11))) &
% 1.20/1.06 (![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl245])).
% 1.20/1.06 thf('5', plain,
% 1.20/1.06 (~
% 1.20/1.06 (![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))) |
% 1.20/1.06 ~ (((inverse @ sk_c3) = (sk_c11))) |
% 1.20/1.06 ~ (((multiply @ sk_c3 @ sk_c10) = (sk_c11)))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl335])).
% 1.20/1.06 thf(prove_this_19, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 1.20/1.06 thf(zf_stmt_8, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_19])).
% 1.20/1.06 thf(zip_derived_cl21, plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))
% 1.20/1.06 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.20/1.06 thf(zip_derived_cl94, plain,
% 1.20/1.06 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9)))
% 1.20/1.06 <= ((((multiply @ sk_c2 @ sk_c10) = (sk_c9))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl21])).
% 1.20/1.06 thf(prove_this_28, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_9, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_28])).
% 1.20/1.06 thf(zip_derived_cl30, plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))
% 1.20/1.06 | ((inverse @ sk_c2) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.20/1.06 thf(zip_derived_cl112, plain,
% 1.20/1.06 ((((inverse @ sk_c2) = (sk_c10))) <= ((((inverse @ sk_c2) = (sk_c10))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl30])).
% 1.20/1.06 thf(zip_derived_cl167, plain,
% 1.20/1.06 ((![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10)) | ((multiply @ X6 @ sk_c10) != (sk_c9))))
% 1.20/1.06 <= ((![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10))
% 1.20/1.06 | ((multiply @ X6 @ sk_c10) != (sk_c9)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf(zip_derived_cl231, plain,
% 1.20/1.06 (((((sk_c10) != (sk_c10)) | ((multiply @ sk_c2 @ sk_c10) != (sk_c9))))
% 1.20/1.06 <= ((((inverse @ sk_c2) = (sk_c10))) &
% 1.20/1.06 (![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10))
% 1.20/1.06 | ((multiply @ X6 @ sk_c10) != (sk_c9)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl167])).
% 1.20/1.06 thf(zip_derived_cl233, plain,
% 1.20/1.06 ((((multiply @ sk_c2 @ sk_c10) != (sk_c9)))
% 1.20/1.06 <= ((((inverse @ sk_c2) = (sk_c10))) &
% 1.20/1.06 (![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10))
% 1.20/1.06 | ((multiply @ X6 @ sk_c10) != (sk_c9)))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl231])).
% 1.20/1.06 thf(zip_derived_cl316, plain,
% 1.20/1.06 ((((sk_c9) != (sk_c9)))
% 1.20/1.06 <= ((((multiply @ sk_c2 @ sk_c10) = (sk_c9))) &
% 1.20/1.06 (((inverse @ sk_c2) = (sk_c10))) &
% 1.20/1.06 (![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10))
% 1.20/1.06 | ((multiply @ X6 @ sk_c10) != (sk_c9)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl233])).
% 1.20/1.06 thf('6', plain,
% 1.20/1.06 (~ (((multiply @ sk_c2 @ sk_c10) = (sk_c9))) |
% 1.20/1.06 ~
% 1.20/1.06 (![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10)) | ((multiply @ X6 @ sk_c10) != (sk_c9)))) |
% 1.20/1.06 ~ (((inverse @ sk_c2) = (sk_c10)))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl316])).
% 1.20/1.06 thf(prove_this_21, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 1.20/1.06 thf(zf_stmt_10, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_21])).
% 1.20/1.06 thf(zip_derived_cl23, plain,
% 1.20/1.06 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 1.20/1.06 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.20/1.06 thf('7', plain,
% 1.20/1.06 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9))) |
% 1.20/1.06 (((multiply @ sk_c5 @ sk_c10) = (sk_c9)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.20/1.06 thf(prove_this_16, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_11, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_16])).
% 1.20/1.06 thf(zip_derived_cl18, plain,
% 1.20/1.06 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 1.20/1.06 | ((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.20/1.06 thf('8', plain,
% 1.20/1.06 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))) |
% 1.20/1.06 (((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl18])).
% 1.20/1.06 thf(prove_this_17, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_12, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) | ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_17])).
% 1.20/1.06 thf(zip_derived_cl19, plain,
% 1.20/1.06 ((((inverse @ sk_c7) = (sk_c8)) | ((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.20/1.06 thf('9', plain,
% 1.20/1.06 ((((inverse @ sk_c7) = (sk_c8))) | (((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl19])).
% 1.20/1.06 thf(prove_this_18, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_13, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_18])).
% 1.20/1.06 thf(zip_derived_cl20, plain,
% 1.20/1.06 ((((multiply @ sk_c8 @ sk_c9) = (sk_c10))
% 1.20/1.06 | ((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.20/1.06 thf('10', plain,
% 1.20/1.06 ((((multiply @ sk_c8 @ sk_c9) = (sk_c10))) |
% 1.20/1.06 (((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl20])).
% 1.20/1.06 thf(prove_this_1, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_14, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_1])).
% 1.20/1.06 thf(zip_derived_cl3, plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))
% 1.20/1.06 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.20/1.06 thf(zip_derived_cl58, plain,
% 1.20/1.06 ((((multiply @ sk_c1 @ sk_c11) = (sk_c10)))
% 1.20/1.06 <= ((((multiply @ sk_c1 @ sk_c11) = (sk_c10))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl3])).
% 1.20/1.06 thf(prove_this_10, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c1 ) = ( sk_c11 ) ) ))).
% 1.20/1.06 thf(zf_stmt_15, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c4 @ sk_c11 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c1 ) = ( sk_c11 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_10])).
% 1.20/1.06 thf(zip_derived_cl12, plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))
% 1.20/1.06 | ((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.20/1.06 thf(zip_derived_cl76, plain,
% 1.20/1.06 ((((inverse @ sk_c1) = (sk_c11))) <= ((((inverse @ sk_c1) = (sk_c11))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl12])).
% 1.20/1.06 thf(left_inverse, axiom, (( multiply @ ( inverse @ X ) @ X ) = ( identity ))).
% 1.20/1.06 thf(zip_derived_cl1, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.20/1.06 thf(zip_derived_cl195, plain,
% 1.20/1.06 ((((multiply @ sk_c11 @ sk_c1) = (identity)))
% 1.20/1.06 <= ((((inverse @ sk_c1) = (sk_c11))))),
% 1.20/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl1])).
% 1.20/1.06 thf(associativity, axiom,
% 1.20/1.06 (( multiply @ ( multiply @ X @ Y ) @ Z ) =
% 1.20/1.06 ( multiply @ X @ ( multiply @ Y @ Z ) ))).
% 1.20/1.06 thf(zip_derived_cl2, plain,
% 1.20/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/1.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.20/1.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.20/1.06 inference('cnf', [status(esa)], [associativity])).
% 1.20/1.06 thf(zip_derived_cl347, plain,
% 1.20/1.06 ((![X0 : $i]:
% 1.20/1.06 ((multiply @ identity @ X0)
% 1.20/1.06 = (multiply @ sk_c11 @ (multiply @ sk_c1 @ X0))))
% 1.20/1.06 <= ((((inverse @ sk_c1) = (sk_c11))))),
% 1.20/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl2])).
% 1.20/1.06 thf(left_identity, axiom, (( multiply @ identity @ X ) = ( X ))).
% 1.20/1.06 thf(zip_derived_cl0, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.20/1.06 thf(zip_derived_cl348, plain,
% 1.20/1.06 ((![X0 : $i]: ((X0) = (multiply @ sk_c11 @ (multiply @ sk_c1 @ X0))))
% 1.20/1.06 <= ((((inverse @ sk_c1) = (sk_c11))))),
% 1.20/1.06 inference('demod', [status(thm)], [zip_derived_cl347, zip_derived_cl0])).
% 1.20/1.06 thf(zip_derived_cl370, plain,
% 1.20/1.06 ((((sk_c11) = (multiply @ sk_c11 @ sk_c10)))
% 1.20/1.06 <= ((((multiply @ sk_c1 @ sk_c11) = (sk_c10))) &
% 1.20/1.06 (((inverse @ sk_c1) = (sk_c11))))),
% 1.20/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl58, zip_derived_cl348])).
% 1.20/1.06 thf(zip_derived_cl1, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.20/1.06 thf(zip_derived_cl2, plain,
% 1.20/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/1.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.20/1.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.20/1.06 inference('cnf', [status(esa)], [associativity])).
% 1.20/1.06 thf(zip_derived_cl207, plain,
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 ((multiply @ identity @ X0)
% 1.20/1.06 = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.20/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl2])).
% 1.20/1.06 thf(zip_derived_cl0, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.20/1.06 thf(zip_derived_cl209, plain,
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.20/1.06 inference('demod', [status(thm)], [zip_derived_cl207, zip_derived_cl0])).
% 1.20/1.06 thf(zip_derived_cl393, plain,
% 1.20/1.06 ((((sk_c10) = (multiply @ (inverse @ sk_c11) @ sk_c11)))
% 1.20/1.06 <= ((((multiply @ sk_c1 @ sk_c11) = (sk_c10))) &
% 1.20/1.06 (((inverse @ sk_c1) = (sk_c11))))),
% 1.20/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl370, zip_derived_cl209])).
% 1.20/1.06 thf(zip_derived_cl1, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.20/1.06 thf(zip_derived_cl415, plain,
% 1.20/1.06 ((((sk_c10) = (identity)))
% 1.20/1.06 <= ((((multiply @ sk_c1 @ sk_c11) = (sk_c10))) &
% 1.20/1.06 (((inverse @ sk_c1) = (sk_c11))))),
% 1.20/1.06 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl1])).
% 1.20/1.06 thf(prove_this_4, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_16, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_4])).
% 1.20/1.06 thf(zip_derived_cl6, plain,
% 1.20/1.06 ((((inverse @ sk_c5) = (sk_c10))
% 1.20/1.06 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.20/1.06 thf(zip_derived_cl64, plain,
% 1.20/1.06 ((((inverse @ sk_c5) = (sk_c10))) <= ((((inverse @ sk_c5) = (sk_c10))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl6])).
% 1.20/1.06 thf(zip_derived_cl0, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.20/1.06 thf(zip_derived_cl172, plain,
% 1.20/1.06 ((![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10))))
% 1.20/1.06 <= ((![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf(zip_derived_cl239, plain,
% 1.20/1.06 ((![X0 : $i]:
% 1.20/1.06 (((sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X0) != (identity))
% 1.20/1.06 | ((multiply @ X0 @ identity) != (sk_c10))))
% 1.20/1.06 <= ((![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl172])).
% 1.20/1.06 thf(zip_derived_cl253, plain,
% 1.20/1.06 ((![X0 : $i]:
% 1.20/1.06 (((inverse @ X0) != (identity))
% 1.20/1.06 | ((multiply @ X0 @ identity) != (sk_c10))))
% 1.20/1.06 <= ((![X0 : $i]:
% 1.20/1.06 (((inverse @ X0) != (identity))
% 1.20/1.06 | ((multiply @ X0 @ identity) != (sk_c10)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl239])).
% 1.20/1.06 thf(zip_derived_cl257, plain,
% 1.20/1.06 (((((sk_c10) != (identity)) | ((multiply @ sk_c5 @ identity) != (sk_c10))))
% 1.20/1.06 <= ((((inverse @ sk_c5) = (sk_c10))) &
% 1.20/1.06 (![X0 : $i]:
% 1.20/1.06 (((inverse @ X0) != (identity))
% 1.20/1.06 | ((multiply @ X0 @ identity) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl253])).
% 1.20/1.06 thf(zip_derived_cl267, plain,
% 1.20/1.06 ((((sk_c10) != (identity))) <= (~ (((sk_c10) = (identity))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl257])).
% 1.20/1.06 thf(zip_derived_cl1465, plain,
% 1.20/1.06 ((((identity) != (identity)))
% 1.20/1.06 <= (~ (((sk_c10) = (identity))) &
% 1.20/1.06 (((multiply @ sk_c1 @ sk_c11) = (sk_c10))) &
% 1.20/1.06 (((inverse @ sk_c1) = (sk_c11))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl415, zip_derived_cl267])).
% 1.20/1.06 thf('11', plain,
% 1.20/1.06 ((((sk_c10) = (identity))) | ~ (((inverse @ sk_c1) = (sk_c11))) |
% 1.20/1.06 ~ (((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl1465])).
% 1.20/1.06 thf(zip_derived_cl1, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.20/1.06 thf(zip_derived_cl209, plain,
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 ((X0) = (multiply @ (inverse @ X1) @ (multiply @ X1 @ X0)))),
% 1.20/1.06 inference('demod', [status(thm)], [zip_derived_cl207, zip_derived_cl0])).
% 1.20/1.06 thf(zip_derived_cl387, plain,
% 1.20/1.06 (![X0 : $i]: ((X0) = (multiply @ (inverse @ (inverse @ X0)) @ identity))),
% 1.20/1.06 inference('s_sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl209])).
% 1.20/1.06 thf(zip_derived_cl0, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ identity @ X0) = (X0))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_identity])).
% 1.20/1.06 thf(zip_derived_cl1, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.20/1.06 thf(zip_derived_cl2, plain,
% 1.20/1.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.20/1.06 ((multiply @ (multiply @ X0 @ X1) @ X2)
% 1.20/1.06 = (multiply @ X0 @ (multiply @ X1 @ X2)))),
% 1.20/1.06 inference('cnf', [status(esa)], [associativity])).
% 1.20/1.06 thf(zip_derived_cl1, plain,
% 1.20/1.06 (![X0 : $i]: ((multiply @ (inverse @ X0) @ X0) = (identity))),
% 1.20/1.06 inference('cnf', [status(esa)], [left_inverse])).
% 1.20/1.06 thf(zip_derived_cl172, plain,
% 1.20/1.06 ((![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10))))
% 1.20/1.06 <= ((![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf(zip_derived_cl240, plain,
% 1.20/1.06 ((![X0 : $i]:
% 1.20/1.06 (((identity) != (sk_c10))
% 1.20/1.06 | ((inverse @ X0) != (inverse @ sk_c9))
% 1.20/1.06 | ((multiply @ X0 @ (inverse @ sk_c9)) != (sk_c10))))
% 1.20/1.06 <= ((![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl172])).
% 1.20/1.06 thf(zip_derived_cl281, plain,
% 1.20/1.06 ((![X0 : $i]:
% 1.20/1.06 (((inverse @ X0) != (inverse @ sk_c9))
% 1.20/1.06 | ((multiply @ X0 @ (inverse @ sk_c9)) != (sk_c10))))
% 1.20/1.06 <= ((![X0 : $i]:
% 1.20/1.06 (((inverse @ X0) != (inverse @ sk_c9))
% 1.20/1.06 | ((multiply @ X0 @ (inverse @ sk_c9)) != (sk_c10)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl240])).
% 1.20/1.06 thf(zip_derived_cl283, plain,
% 1.20/1.06 ((![X0 : $i, X1 : $i]:
% 1.20/1.06 (((inverse @ (multiply @ X1 @ X0)) != (inverse @ sk_c9))
% 1.20/1.06 | ((multiply @ X1 @ (multiply @ X0 @ (inverse @ sk_c9))) != (sk_c10))))
% 1.20/1.06 <= ((![X0 : $i]:
% 1.20/1.06 (((inverse @ X0) != (inverse @ sk_c9))
% 1.20/1.06 | ((multiply @ X0 @ (inverse @ sk_c9)) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl281])).
% 1.20/1.06 thf(zip_derived_cl321, plain,
% 1.20/1.06 ((![X0 : $i]:
% 1.20/1.06 (((inverse @
% 1.20/1.06 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ sk_c9))) @ X0))
% 1.20/1.06 != (inverse @ sk_c9))
% 1.20/1.06 | ((identity) != (sk_c10))))
% 1.20/1.06 <= ((![X0 : $i]:
% 1.20/1.06 (((inverse @ X0) != (inverse @ sk_c9))
% 1.20/1.06 | ((multiply @ X0 @ (inverse @ sk_c9)) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl283])).
% 1.20/1.06 thf(zip_derived_cl363, plain,
% 1.20/1.06 ((![X0 : $i]:
% 1.20/1.06 ((inverse @
% 1.20/1.06 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ sk_c9))) @ X0))
% 1.20/1.06 != (inverse @ sk_c9)))
% 1.20/1.06 <= ((![X0 : $i]:
% 1.20/1.06 ((inverse @
% 1.20/1.06 (multiply @
% 1.20/1.06 (inverse @ (multiply @ X0 @ (inverse @ sk_c9))) @ X0))
% 1.20/1.06 != (inverse @ sk_c9))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl321])).
% 1.20/1.06 thf(zip_derived_cl366, plain,
% 1.20/1.06 ((((inverse @ (multiply @ (inverse @ (inverse @ sk_c9)) @ identity))
% 1.20/1.06 != (inverse @ sk_c9)))
% 1.20/1.06 <= ((![X0 : $i]:
% 1.20/1.06 ((inverse @
% 1.20/1.06 (multiply @
% 1.20/1.06 (inverse @ (multiply @ X0 @ (inverse @ sk_c9))) @ X0))
% 1.20/1.06 != (inverse @ sk_c9))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl363])).
% 1.20/1.06 thf(zip_derived_cl1955, plain,
% 1.20/1.06 ((((inverse @ sk_c9) != (inverse @ sk_c9)))
% 1.20/1.06 <= ((![X0 : $i]:
% 1.20/1.06 ((inverse @
% 1.20/1.06 (multiply @
% 1.20/1.06 (inverse @ (multiply @ X0 @ (inverse @ sk_c9))) @ X0))
% 1.20/1.06 != (inverse @ sk_c9))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl366])).
% 1.20/1.06 thf('12', plain,
% 1.20/1.06 (~
% 1.20/1.06 (![X0 : $i]:
% 1.20/1.06 ((inverse @
% 1.20/1.06 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ sk_c9))) @ X0))
% 1.20/1.06 != (inverse @ sk_c9)))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl1955])).
% 1.20/1.06 thf('13', plain,
% 1.20/1.06 (~
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))) |
% 1.20/1.06 (![X0 : $i]:
% 1.20/1.06 (((inverse @ X0) != (inverse @ sk_c9))
% 1.20/1.06 | ((multiply @ X0 @ (inverse @ sk_c9)) != (sk_c10)))) |
% 1.20/1.06 ~ (((sk_c10) = (identity)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl240])).
% 1.20/1.06 thf('14', plain,
% 1.20/1.06 (~
% 1.20/1.06 (![X0 : $i]:
% 1.20/1.06 (((inverse @ X0) != (inverse @ sk_c9))
% 1.20/1.06 | ((multiply @ X0 @ (inverse @ sk_c9)) != (sk_c10)))) |
% 1.20/1.06 ~ (((sk_c10) = (identity))) |
% 1.20/1.06 (![X0 : $i]:
% 1.20/1.06 ((inverse @
% 1.20/1.06 (multiply @ (inverse @ (multiply @ X0 @ (inverse @ sk_c9))) @ X0))
% 1.20/1.06 != (inverse @ sk_c9)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl321])).
% 1.20/1.06 thf(prove_this_7, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_17, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c7 @ sk_c8 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_7])).
% 1.20/1.06 thf(zip_derived_cl9, plain,
% 1.20/1.06 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))
% 1.20/1.06 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.20/1.06 thf('15', plain,
% 1.20/1.06 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))) |
% 1.20/1.06 (((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl9])).
% 1.20/1.06 thf(prove_this_8, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_18, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c7 ) = ( sk_c8 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_8])).
% 1.20/1.06 thf(zip_derived_cl10, plain,
% 1.20/1.06 ((((inverse @ sk_c7) = (sk_c8))
% 1.20/1.06 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.20/1.06 thf('16', plain,
% 1.20/1.06 ((((inverse @ sk_c7) = (sk_c8))) |
% 1.20/1.06 (((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.20/1.06 thf(prove_this_9, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_19, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c8 @ sk_c9 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_9])).
% 1.20/1.06 thf(zip_derived_cl11, plain,
% 1.20/1.06 ((((multiply @ sk_c8 @ sk_c9) = (sk_c10))
% 1.20/1.06 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.20/1.06 thf('17', plain,
% 1.20/1.06 ((((multiply @ sk_c8 @ sk_c9) = (sk_c10))) |
% 1.20/1.06 (((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl11])).
% 1.20/1.06 thf(zip_derived_cl70, plain,
% 1.20/1.06 ((((multiply @ sk_c7 @ sk_c8) = (sk_c10)))
% 1.20/1.06 <= ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl9])).
% 1.20/1.06 thf(zip_derived_cl72, plain,
% 1.20/1.06 ((((inverse @ sk_c7) = (sk_c8))) <= ((((inverse @ sk_c7) = (sk_c8))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.20/1.06 thf(zip_derived_cl74, plain,
% 1.20/1.06 ((((multiply @ sk_c8 @ sk_c9) = (sk_c10)))
% 1.20/1.06 <= ((((multiply @ sk_c8 @ sk_c9) = (sk_c10))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl11])).
% 1.20/1.06 thf(zip_derived_cl172, plain,
% 1.20/1.06 ((![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10))))
% 1.20/1.06 <= ((![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf(zip_derived_cl291, plain,
% 1.20/1.06 ((![X0 : $i]:
% 1.20/1.06 (((sk_c10) != (sk_c10))
% 1.20/1.06 | ((inverse @ X0) != (sk_c8))
% 1.20/1.06 | ((multiply @ X0 @ sk_c8) != (sk_c10))))
% 1.20/1.06 <= ((((multiply @ sk_c8 @ sk_c9) = (sk_c10))) &
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl172])).
% 1.20/1.06 thf(zip_derived_cl292, plain,
% 1.20/1.06 ((![X0 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c8) != (sk_c10)) | ((inverse @ X0) != (sk_c8))))
% 1.20/1.06 <= ((((multiply @ sk_c8 @ sk_c9) = (sk_c10))) &
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl291])).
% 1.20/1.06 thf(zip_derived_cl297, plain,
% 1.20/1.06 (((((multiply @ sk_c7 @ sk_c8) != (sk_c10)) | ((sk_c8) != (sk_c8))))
% 1.20/1.06 <= ((((inverse @ sk_c7) = (sk_c8))) &
% 1.20/1.06 (((multiply @ sk_c8 @ sk_c9) = (sk_c10))) &
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl292])).
% 1.20/1.06 thf(zip_derived_cl300, plain,
% 1.20/1.06 ((((multiply @ sk_c7 @ sk_c8) != (sk_c10)))
% 1.20/1.06 <= ((((inverse @ sk_c7) = (sk_c8))) &
% 1.20/1.06 (((multiply @ sk_c8 @ sk_c9) = (sk_c10))) &
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl297])).
% 1.20/1.06 thf(zip_derived_cl301, plain,
% 1.20/1.06 ((((sk_c10) != (sk_c10)))
% 1.20/1.06 <= ((((multiply @ sk_c7 @ sk_c8) = (sk_c10))) &
% 1.20/1.06 (((inverse @ sk_c7) = (sk_c8))) &
% 1.20/1.06 (((multiply @ sk_c8 @ sk_c9) = (sk_c10))) &
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl300])).
% 1.20/1.06 thf('18', plain,
% 1.20/1.06 (~
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10)))) |
% 1.20/1.06 ~ (((inverse @ sk_c7) = (sk_c8))) |
% 1.20/1.06 ~ (((multiply @ sk_c8 @ sk_c9) = (sk_c10))) |
% 1.20/1.06 ~ (((multiply @ sk_c7 @ sk_c8) = (sk_c10)))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl301])).
% 1.20/1.06 thf(prove_this_3, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_20, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_3])).
% 1.20/1.06 thf(zip_derived_cl5, plain,
% 1.20/1.06 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 1.20/1.06 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.20/1.06 thf(zip_derived_cl62, plain,
% 1.20/1.06 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9)))
% 1.20/1.06 <= ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl5])).
% 1.20/1.06 thf(zip_derived_cl64, plain,
% 1.20/1.06 ((((inverse @ sk_c5) = (sk_c10))) <= ((((inverse @ sk_c5) = (sk_c10))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl6])).
% 1.20/1.06 thf(zip_derived_cl167, plain,
% 1.20/1.06 ((![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10)) | ((multiply @ X6 @ sk_c10) != (sk_c9))))
% 1.20/1.06 <= ((![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10))
% 1.20/1.06 | ((multiply @ X6 @ sk_c10) != (sk_c9)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf(zip_derived_cl183, plain,
% 1.20/1.06 (((((sk_c10) != (sk_c10)) | ((multiply @ sk_c5 @ sk_c10) != (sk_c9))))
% 1.20/1.06 <= ((((inverse @ sk_c5) = (sk_c10))) &
% 1.20/1.06 (![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10))
% 1.20/1.06 | ((multiply @ X6 @ sk_c10) != (sk_c9)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl167])).
% 1.20/1.06 thf(zip_derived_cl186, plain,
% 1.20/1.06 ((((multiply @ sk_c5 @ sk_c10) != (sk_c9)))
% 1.20/1.06 <= ((((inverse @ sk_c5) = (sk_c10))) &
% 1.20/1.06 (![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10))
% 1.20/1.06 | ((multiply @ X6 @ sk_c10) != (sk_c9)))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl183])).
% 1.20/1.06 thf(zip_derived_cl248, plain,
% 1.20/1.06 ((((sk_c9) != (sk_c9)))
% 1.20/1.06 <= ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))) &
% 1.20/1.06 (((inverse @ sk_c5) = (sk_c10))) &
% 1.20/1.06 (![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10))
% 1.20/1.06 | ((multiply @ X6 @ sk_c10) != (sk_c9)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl186])).
% 1.20/1.06 thf('19', plain,
% 1.20/1.06 (~
% 1.20/1.06 (![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10)) | ((multiply @ X6 @ sk_c10) != (sk_c9)))) |
% 1.20/1.06 ~ (((multiply @ sk_c5 @ sk_c10) = (sk_c9))) |
% 1.20/1.06 ~ (((inverse @ sk_c5) = (sk_c10)))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 1.20/1.06 thf(prove_this_6, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_21, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_6])).
% 1.20/1.06 thf(zip_derived_cl8, plain,
% 1.20/1.06 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 1.20/1.06 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.20/1.06 thf(zip_derived_cl68, plain,
% 1.20/1.06 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11)))
% 1.20/1.06 <= ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl8])).
% 1.20/1.06 thf(prove_this_5, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_22, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_5])).
% 1.20/1.06 thf(zip_derived_cl7, plain,
% 1.20/1.06 ((((inverse @ sk_c6) = (sk_c11))
% 1.20/1.06 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.20/1.06 thf(zip_derived_cl66, plain,
% 1.20/1.06 ((((inverse @ sk_c6) = (sk_c11))) <= ((((inverse @ sk_c6) = (sk_c11))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl7])).
% 1.20/1.06 thf(zip_derived_cl168, plain,
% 1.20/1.06 ((![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11))))
% 1.20/1.06 <= ((![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf(zip_derived_cl190, plain,
% 1.20/1.06 (((((multiply @ sk_c6 @ sk_c10) != (sk_c11)) | ((sk_c11) != (sk_c11))))
% 1.20/1.06 <= ((((inverse @ sk_c6) = (sk_c11))) &
% 1.20/1.06 (![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl168])).
% 1.20/1.06 thf(zip_derived_cl194, plain,
% 1.20/1.06 ((((multiply @ sk_c6 @ sk_c10) != (sk_c11)))
% 1.20/1.06 <= ((((inverse @ sk_c6) = (sk_c11))) &
% 1.20/1.06 (![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 1.20/1.06 thf(zip_derived_cl277, plain,
% 1.20/1.06 ((((sk_c11) != (sk_c11)))
% 1.20/1.06 <= ((((inverse @ sk_c6) = (sk_c11))) &
% 1.20/1.06 (((multiply @ sk_c6 @ sk_c10) = (sk_c11))) &
% 1.20/1.06 (![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl194])).
% 1.20/1.06 thf('20', plain,
% 1.20/1.06 (~
% 1.20/1.06 (![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))) |
% 1.20/1.06 ~ (((multiply @ sk_c6 @ sk_c10) = (sk_c11))) |
% 1.20/1.06 ~ (((inverse @ sk_c6) = (sk_c11)))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl277])).
% 1.20/1.06 thf('21', plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))) |
% 1.20/1.06 (((inverse @ sk_c2) = (sk_c10)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl30])).
% 1.20/1.06 thf(prove_this_29, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_23, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_29])).
% 1.20/1.06 thf(zip_derived_cl31, plain,
% 1.20/1.06 ((((inverse @ sk_c4) = (sk_c11)) | ((inverse @ sk_c2) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.20/1.06 thf('22', plain,
% 1.20/1.06 ((((inverse @ sk_c2) = (sk_c10))) | (((inverse @ sk_c4) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl31])).
% 1.20/1.06 thf(prove_this_30, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_24, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c5 @ sk_c10 ) = ( sk_c9 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_30])).
% 1.20/1.06 thf(zip_derived_cl32, plain,
% 1.20/1.06 ((((multiply @ sk_c5 @ sk_c10) = (sk_c9))
% 1.20/1.06 | ((inverse @ sk_c2) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.20/1.06 thf('23', plain,
% 1.20/1.06 ((((inverse @ sk_c2) = (sk_c10))) |
% 1.20/1.06 (((multiply @ sk_c5 @ sk_c10) = (sk_c9)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl32])).
% 1.20/1.06 thf(prove_this_31, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_25, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_31])).
% 1.20/1.06 thf(zip_derived_cl33, plain,
% 1.20/1.06 ((((inverse @ sk_c5) = (sk_c10)) | ((inverse @ sk_c2) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.20/1.06 thf('24', plain,
% 1.20/1.06 ((((inverse @ sk_c2) = (sk_c10))) | (((inverse @ sk_c5) = (sk_c10)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl33])).
% 1.20/1.06 thf(prove_this_32, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_26, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c6 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_32])).
% 1.20/1.06 thf(zip_derived_cl34, plain,
% 1.20/1.06 ((((inverse @ sk_c6) = (sk_c11)) | ((inverse @ sk_c2) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.20/1.06 thf('25', plain,
% 1.20/1.06 ((((inverse @ sk_c2) = (sk_c10))) | (((inverse @ sk_c6) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl34])).
% 1.20/1.06 thf(prove_this_33, conjecture,
% 1.20/1.06 (~( ( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_27, negated_conjecture,
% 1.20/1.06 (( ( multiply @ sk_c6 @ sk_c10 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( inverse @ sk_c2 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_33])).
% 1.20/1.06 thf(zip_derived_cl35, plain,
% 1.20/1.06 ((((multiply @ sk_c6 @ sk_c10) = (sk_c11))
% 1.20/1.06 | ((inverse @ sk_c2) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.20/1.06 thf('26', plain,
% 1.20/1.06 ((((inverse @ sk_c2) = (sk_c10))) |
% 1.20/1.06 (((multiply @ sk_c6 @ sk_c10) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl35])).
% 1.20/1.06 thf(prove_this_22, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) ) ))).
% 1.20/1.06 thf(zf_stmt_28, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c5 ) = ( sk_c10 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c2 @ sk_c10 ) = ( sk_c9 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_22])).
% 1.20/1.06 thf(zip_derived_cl24, plain,
% 1.20/1.06 ((((inverse @ sk_c5) = (sk_c10))
% 1.20/1.06 | ((multiply @ sk_c2 @ sk_c10) = (sk_c9)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_28])).
% 1.20/1.06 thf('27', plain,
% 1.20/1.06 ((((multiply @ sk_c2 @ sk_c10) = (sk_c9))) |
% 1.20/1.06 (((inverse @ sk_c5) = (sk_c10)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl24])).
% 1.20/1.06 thf('28', plain,
% 1.20/1.06 ((![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))) |
% 1.20/1.06 (![X6 : $i]:
% 1.20/1.06 (((inverse @ X6) != (sk_c10)) | ((multiply @ X6 @ sk_c10) != (sk_c9)))) |
% 1.20/1.06 (![X5 : $i]:
% 1.20/1.06 (((multiply @ X5 @ sk_c10) != (sk_c11))
% 1.20/1.06 | ((inverse @ X5) != (sk_c11)))) |
% 1.20/1.06 (![X0 : $i, X1 : $i]:
% 1.20/1.06 (((multiply @ X0 @ sk_c9) != (sk_c10))
% 1.20/1.06 | ((inverse @ X1) != (X0))
% 1.20/1.06 | ((multiply @ X1 @ X0) != (sk_c10))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf('29', plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))) |
% 1.20/1.06 (((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl3])).
% 1.20/1.06 thf(prove_this_2, conjecture,
% 1.20/1.06 (~( ( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) ) ))).
% 1.20/1.06 thf(zf_stmt_29, negated_conjecture,
% 1.20/1.06 (( ( inverse @ sk_c4 ) = ( sk_c11 ) ) |
% 1.20/1.06 ( ( multiply @ sk_c1 @ sk_c11 ) = ( sk_c10 ) )),
% 1.20/1.06 inference('cnf.neg', [status(esa)], [prove_this_2])).
% 1.20/1.06 thf(zip_derived_cl4, plain,
% 1.20/1.06 ((((inverse @ sk_c4) = (sk_c11))
% 1.20/1.06 | ((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('cnf', [status(esa)], [zf_stmt_29])).
% 1.20/1.06 thf('30', plain,
% 1.20/1.06 ((((inverse @ sk_c4) = (sk_c11))) |
% 1.20/1.06 (((multiply @ sk_c1 @ sk_c11) = (sk_c10)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl4])).
% 1.20/1.06 thf(zip_derived_cl58, plain,
% 1.20/1.06 ((((multiply @ sk_c1 @ sk_c11) = (sk_c10)))
% 1.20/1.06 <= ((((multiply @ sk_c1 @ sk_c11) = (sk_c10))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl3])).
% 1.20/1.06 thf(zip_derived_cl76, plain,
% 1.20/1.06 ((((inverse @ sk_c1) = (sk_c11))) <= ((((inverse @ sk_c1) = (sk_c11))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl12])).
% 1.20/1.06 thf(zip_derived_cl166, plain,
% 1.20/1.06 ((![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10))))
% 1.20/1.06 <= ((![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf(zip_derived_cl173, plain,
% 1.20/1.06 (((((sk_c11) != (sk_c11)) | ((multiply @ sk_c1 @ sk_c11) != (sk_c10))))
% 1.20/1.06 <= ((((inverse @ sk_c1) = (sk_c11))) &
% 1.20/1.06 (![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl166])).
% 1.20/1.06 thf(zip_derived_cl178, plain,
% 1.20/1.06 ((((multiply @ sk_c1 @ sk_c11) != (sk_c10)))
% 1.20/1.06 <= ((((inverse @ sk_c1) = (sk_c11))) &
% 1.20/1.06 (![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl173])).
% 1.20/1.06 thf(zip_derived_cl220, plain,
% 1.20/1.06 ((((sk_c10) != (sk_c10)))
% 1.20/1.06 <= ((((multiply @ sk_c1 @ sk_c11) = (sk_c10))) &
% 1.20/1.06 (((inverse @ sk_c1) = (sk_c11))) &
% 1.20/1.06 (![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl178])).
% 1.20/1.06 thf('31', plain,
% 1.20/1.06 (~ (((multiply @ sk_c1 @ sk_c11) = (sk_c10))) |
% 1.20/1.06 ~ (((inverse @ sk_c1) = (sk_c11))) |
% 1.20/1.06 ~
% 1.20/1.06 (![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl220])).
% 1.20/1.06 thf('32', plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))) |
% 1.20/1.06 (((inverse @ sk_c1) = (sk_c11)))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl12])).
% 1.20/1.06 thf(zip_derived_cl59, plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) = (sk_c10)))
% 1.20/1.06 <= ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl3])).
% 1.20/1.06 thf(zip_derived_cl60, plain,
% 1.20/1.06 ((((inverse @ sk_c4) = (sk_c11))) <= ((((inverse @ sk_c4) = (sk_c11))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl4])).
% 1.20/1.06 thf(zip_derived_cl166, plain,
% 1.20/1.06 ((![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10))))
% 1.20/1.06 <= ((![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))))),
% 1.20/1.06 inference('split', [status(esa)], [zip_derived_cl57])).
% 1.20/1.06 thf(zip_derived_cl174, plain,
% 1.20/1.06 (((((sk_c11) != (sk_c11)) | ((multiply @ sk_c4 @ sk_c11) != (sk_c10))))
% 1.20/1.06 <= ((((inverse @ sk_c4) = (sk_c11))) &
% 1.20/1.06 (![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl166])).
% 1.20/1.06 thf(zip_derived_cl179, plain,
% 1.20/1.06 ((((multiply @ sk_c4 @ sk_c11) != (sk_c10)))
% 1.20/1.06 <= ((((inverse @ sk_c4) = (sk_c11))) &
% 1.20/1.06 (![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl174])).
% 1.20/1.06 thf(zip_derived_cl227, plain,
% 1.20/1.06 ((((sk_c10) != (sk_c10)))
% 1.20/1.06 <= ((((multiply @ sk_c4 @ sk_c11) = (sk_c10))) &
% 1.20/1.06 (((inverse @ sk_c4) = (sk_c11))) &
% 1.20/1.06 (![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10)))))),
% 1.20/1.06 inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl179])).
% 1.20/1.06 thf('33', plain,
% 1.20/1.06 (~ (((multiply @ sk_c4 @ sk_c11) = (sk_c10))) |
% 1.20/1.06 ~ (((inverse @ sk_c4) = (sk_c11))) |
% 1.20/1.06 ~
% 1.20/1.06 (![X7 : $i]:
% 1.20/1.06 (((inverse @ X7) != (sk_c11))
% 1.20/1.06 | ((multiply @ X7 @ sk_c11) != (sk_c10))))),
% 1.20/1.06 inference('simplify', [status(thm)], [zip_derived_cl227])).
% 1.20/1.06 thf(zip_derived_cl1971, plain, ($false),
% 1.20/1.06 inference('sat_resolution*', [status(thm)],
% 1.20/1.06 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.20/1.06 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 1.20/1.06 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 1.20/1.06 '32', '33'])).
% 1.20/1.06
% 1.20/1.06 % SZS output end Refutation
% 1.20/1.06
% 1.20/1.06
% 1.20/1.06 % Terminating...
% 1.52/1.12 % Runner terminated.
% 1.52/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------