TSTP Solution File: SYN067-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN067-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wzeGlurFcE true
% Computer : n010.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 : Fri Sep 1 04:01:31 EDT 2023
% Result : Unsatisfiable 1.40s 0.89s
% Output : Refutation 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN067-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.wzeGlurFcE true
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 17:55:35 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.40/0.89 % Solved by fo/fo1_av.sh.
% 1.40/0.89 % done 352 iterations in 0.101s
% 1.40/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.40/0.89 % SZS output start Refutation
% 1.40/0.89 thf(sk1_type, type, sk1: $i > $i).
% 1.40/0.89 thf(sk3_type, type, sk3: $i > $i).
% 1.40/0.89 thf(sk4_type, type, sk4: $i > $i).
% 1.40/0.89 thf(sk2_type, type, sk2: $i > $i).
% 1.40/0.89 thf(sk5_type, type, sk5: $i > $i).
% 1.40/0.89 thf(sk11_type, type, sk11: $i).
% 1.40/0.89 thf(big_r_type, type, big_r: $i > $i > $o).
% 1.40/0.89 thf(big_p_type, type, big_p: $i > $o).
% 1.40/0.89 thf(sk10_type, type, sk10: $i).
% 1.40/0.89 thf(sk9_type, type, sk9: $i).
% 1.40/0.89 thf(sk7_type, type, sk7: $i).
% 1.40/0.89 thf(sk6_type, type, sk6: $i > $i).
% 1.40/0.89 thf(sk8_type, type, sk8: $i).
% 1.40/0.89 thf(pel38_55, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk9 @ D ) ) | ( ~( big_r @ sk7 @ B ) ) |
% 1.40/0.89 ( ~( big_r @ sk10 @ F ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_r @ D @ C ) ) | ( ~( big_r @ F @ E ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( ~( big_p @ E ) ) ))).
% 1.40/0.89 thf(zf_stmt_0, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk9 @ D ) ) | ( ~( big_r @ sk7 @ B ) ) |
% 1.40/0.89 ( ~( big_r @ sk10 @ F ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_r @ D @ C ) ) | ( ~( big_r @ F @ E ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( ~( big_p @ E ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_55])).
% 1.40/0.89 thf(zip_derived_cl54, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.40/0.89 (~ (big_r @ sk9 @ X0)
% 1.40/0.89 | ~ (big_r @ sk7 @ X1)
% 1.40/0.89 | ~ (big_r @ sk10 @ X2)
% 1.40/0.89 | ~ (big_r @ X1 @ X3)
% 1.40/0.89 | ~ (big_r @ X0 @ X4)
% 1.40/0.89 | ~ (big_r @ X2 @ X5)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | ~ (big_p @ X4)
% 1.40/0.89 | ~ (big_p @ X5))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.40/0.89 thf('0', plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl54])).
% 1.40/0.89 thf(pel38_43, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ sk10 @ D ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( ~( big_p @ C ) ) |
% 1.40/0.89 ( big_p @ sk8 ) ))).
% 1.40/0.89 thf(zf_stmt_1, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ sk10 @ D ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ sk7 ) ) |
% 1.40/0.89 ( ~( big_p @ A ) ) | ( ~( big_p @ C ) ) | ( big_p @ sk8 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_43])).
% 1.40/0.89 thf(zip_derived_cl42, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ sk9 @ X0)
% 1.40/0.89 | ~ (big_r @ sk10 @ X1)
% 1.40/0.89 | ~ (big_r @ X0 @ X2)
% 1.40/0.89 | ~ (big_r @ X1 @ X3)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | ~ (big_p @ X2)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_p @ sk8))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.40/0.89 thf('1', plain,
% 1.40/0.89 (( (big_p @ sk8)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl42])).
% 1.40/0.89 thf(pel38_49, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ sk10 @ D ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( ~( big_p @ C ) ) |
% 1.40/0.89 ( big_r @ sk7 @ sk8 ) ))).
% 1.40/0.89 thf(zf_stmt_2, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ sk10 @ D ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ sk7 ) ) |
% 1.40/0.89 ( ~( big_p @ A ) ) | ( ~( big_p @ C ) ) | ( big_r @ sk7 @ sk8 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_49])).
% 1.40/0.89 thf(zip_derived_cl48, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ sk9 @ X0)
% 1.40/0.89 | ~ (big_r @ sk10 @ X1)
% 1.40/0.89 | ~ (big_r @ X0 @ X2)
% 1.40/0.89 | ~ (big_r @ X1 @ X3)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | ~ (big_p @ X2)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ sk7 @ sk8))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.40/0.89 thf('2', plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl48])).
% 1.40/0.89 thf(pel38_46, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk10 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ sk7 @ sk8 ) ))).
% 1.40/0.89 thf(zf_stmt_3, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk10 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ sk7 @ sk8 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_46])).
% 1.40/0.89 thf(zip_derived_cl45, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ sk10 @ X0)
% 1.40/0.89 | ~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ sk9)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ sk7 @ sk8))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.40/0.89 thf('3', plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) | ~ ( (big_p @ sk9)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.40/0.89 thf(pel38_40, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk10 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_p @ sk8 ) ))).
% 1.40/0.89 thf(zf_stmt_4, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk10 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_p @ sk8 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_40])).
% 1.40/0.89 thf(zip_derived_cl39, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ sk10 @ X0)
% 1.40/0.89 | ~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ sk9)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_p @ sk8))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.40/0.89 thf('4', plain,
% 1.40/0.89 (( (big_p @ sk8)) | ~ ( (big_p @ sk9)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.40/0.89 thf(pel38_20, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk4 @ C ) @ ( sk3 @ C ) ) | ( big_p @ ( sk1 @ B ) ) |
% 1.40/0.89 ( big_p @ C ) ))).
% 1.40/0.89 thf(zf_stmt_5, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk4 @ C ) @ ( sk3 @ C ) ) | ( big_p @ ( sk1 @ B ) ) |
% 1.40/0.89 ( big_p @ C )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_20])).
% 1.40/0.89 thf(zip_derived_cl19, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk4 @ X2) @ (sk3 @ X2))
% 1.40/0.89 | (big_p @ (sk1 @ X0))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.40/0.89 thf('5', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl19])).
% 1.40/0.89 thf(pel38_21, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ C @ ( sk4 @ C ) ) | ( big_p @ ( sk1 @ B ) ) | ( big_p @ C ) ))).
% 1.40/0.89 thf(zf_stmt_6, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ C @ ( sk4 @ C ) ) | ( big_p @ ( sk1 @ B ) ) | ( big_p @ C )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_21])).
% 1.40/0.89 thf(zip_derived_cl20, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ X2 @ (sk4 @ X2))
% 1.40/0.89 | (big_p @ (sk1 @ X0))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.40/0.89 thf('6', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl20])).
% 1.40/0.89 thf(pel38_24, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_p @ ( sk3 @ C ) ) | ( big_p @ ( sk1 @ B ) ) | ( big_p @ C ) ))).
% 1.40/0.89 thf(zf_stmt_7, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) | ( big_p @ ( sk3 @ C ) ) |
% 1.40/0.89 ( big_p @ ( sk1 @ B ) ) | ( big_p @ C )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_24])).
% 1.40/0.89 thf(zip_derived_cl23, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_p @ (sk3 @ X2))
% 1.40/0.89 | (big_p @ (sk1 @ X0))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.40/0.89 thf('7', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.40/0.89 thf(pel38_53, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk9 @ D ) ) | ( ~( big_r @ sk7 @ B ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_p @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_8, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk9 @ D ) ) | ( ~( big_r @ sk7 @ B ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_p @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_53])).
% 1.40/0.89 thf(zip_derived_cl52, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ sk9 @ X0)
% 1.40/0.89 | ~ (big_r @ sk7 @ X1)
% 1.40/0.89 | ~ (big_r @ X1 @ X2)
% 1.40/0.89 | ~ (big_r @ X0 @ X3)
% 1.40/0.89 | ~ (big_p @ X2)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_p @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.40/0.89 thf('8', plain,
% 1.40/0.89 (( (big_p @ sk11)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl52])).
% 1.40/0.89 thf(pel38_50, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk7 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ A ) ) | ( big_p @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_9, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk7 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ A ) ) | ( big_p @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_50])).
% 1.40/0.89 thf(zip_derived_cl49, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ sk7 @ X0)
% 1.40/0.89 | ~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ sk9)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_p @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.40/0.89 thf('9', plain,
% 1.40/0.89 (( (big_p @ sk11)) | ~ ( (big_p @ sk9)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.40/0.89 thf(pel38_47, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.40/0.89 ( big_p @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_10, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.40/0.89 ( big_p @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_47])).
% 1.40/0.89 thf(zip_derived_cl46, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ sk9 @ X0)
% 1.40/0.89 | ~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ sk7 @ sk8)
% 1.40/0.89 | (big_p @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.40/0.89 thf('10', plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) | ( (big_p @ sk11)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl46])).
% 1.40/0.89 thf(pel38_41, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( big_p @ sk8 ) |
% 1.40/0.89 ( big_p @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_11, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( big_p @ sk8 ) |
% 1.40/0.89 ( big_p @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_41])).
% 1.40/0.89 thf(zip_derived_cl40, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ sk9 @ X0)
% 1.40/0.89 | ~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_p @ sk8)
% 1.40/0.89 | (big_p @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.40/0.89 thf('11', plain,
% 1.40/0.89 (( (big_p @ sk8)) | ( (big_p @ sk11)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl40])).
% 1.40/0.89 thf(pel38_38, conjecture,
% 1.40/0.89 (~( ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_p @ sk8 ) |
% 1.40/0.89 ( big_p @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_12, negated_conjecture,
% 1.40/0.89 (( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_p @ sk8 ) |
% 1.40/0.89 ( big_p @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_38])).
% 1.40/0.89 thf(zip_derived_cl37, plain,
% 1.40/0.89 ((~ (big_p @ sk9) | ~ (big_p @ sk7) | (big_p @ sk8) | (big_p @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.40/0.89 thf('12', plain,
% 1.40/0.89 (( (big_p @ sk8)) | ( (big_p @ sk11)) | ~ ( (big_p @ sk9)) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.40/0.89 thf(pel38_44, conjecture,
% 1.40/0.89 (~( ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.40/0.89 ( big_p @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_13, negated_conjecture,
% 1.40/0.89 (( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.40/0.89 ( big_p @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_44])).
% 1.40/0.89 thf(zip_derived_cl43, plain,
% 1.40/0.89 ((~ (big_p @ sk9)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | (big_r @ sk7 @ sk8)
% 1.40/0.89 | (big_p @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.40/0.89 thf('13', plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) | ( (big_p @ sk11)) | ~ ( (big_p @ sk9)) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.40/0.89 thf(pel38_17, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk4 @ C ) @ ( sk3 @ C ) ) | ( big_r @ B @ ( sk2 @ B ) ) |
% 1.40/0.89 ( big_p @ C ) ))).
% 1.40/0.89 thf(zf_stmt_14, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk4 @ C ) @ ( sk3 @ C ) ) | ( big_r @ B @ ( sk2 @ B ) ) |
% 1.40/0.89 ( big_p @ C )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_17])).
% 1.40/0.89 thf(zip_derived_cl16, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk4 @ X2) @ (sk3 @ X2))
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.40/0.89 thf('14', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl16])).
% 1.40/0.89 thf(pel38_19, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ B @ ( sk2 @ B ) ) | ( big_r @ C @ ( sk4 @ C ) ) |
% 1.40/0.89 ( big_p @ C ) ))).
% 1.40/0.89 thf(zf_stmt_15, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ B @ ( sk2 @ B ) ) | ( big_r @ C @ ( sk4 @ C ) ) | ( big_p @ C )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_19])).
% 1.40/0.89 thf(zip_derived_cl18, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0))
% 1.40/0.89 | (big_r @ X2 @ (sk4 @ X2))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.40/0.89 thf('15', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl18])).
% 1.40/0.89 thf(pel38_23, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ B @ ( sk2 @ B ) ) | ( big_p @ ( sk3 @ C ) ) | ( big_p @ C ) ))).
% 1.40/0.89 thf(zf_stmt_16, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ B @ ( sk2 @ B ) ) | ( big_p @ ( sk3 @ C ) ) | ( big_p @ C )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_23])).
% 1.40/0.89 thf(zip_derived_cl22, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0))
% 1.40/0.89 | (big_p @ (sk3 @ X2))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.40/0.89 thf('16', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl22])).
% 1.40/0.89 thf(zip_derived_cl151, plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.40/0.89 thf(pel38_1, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk6 @ D ) @ ( sk5 @ D ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) ))).
% 1.40/0.89 thf(zf_stmt_17, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk6 @ D ) @ ( sk5 @ D ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_1])).
% 1.40/0.89 thf(zip_derived_cl0, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2))
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.40/0.89 thf(zip_derived_cl56, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.40/0.89 thf(zip_derived_cl249, plain,
% 1.40/0.89 (((~ (big_p @ sk8) | (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) &
% 1.40/0.89 ( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl56])).
% 1.40/0.89 thf('17', plain,
% 1.40/0.89 (( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.40/0.89 ~ ( (big_p @ sk8)) | ~ ( (big_r @ sk7 @ sk8))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl249])).
% 1.40/0.89 thf(zip_derived_cl151, plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.40/0.89 thf(pel38_5, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk6 @ D ) @ ( sk5 @ D ) ) |
% 1.40/0.89 ( big_p @ ( sk1 @ B ) ) ))).
% 1.40/0.89 thf(zf_stmt_18, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk6 @ D ) @ ( sk5 @ D ) ) |
% 1.40/0.89 ( big_p @ ( sk1 @ B ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_5])).
% 1.40/0.89 thf(zip_derived_cl4, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2))
% 1.40/0.89 | (big_p @ (sk1 @ X0)))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.40/0.89 thf(zip_derived_cl64, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl4])).
% 1.40/0.89 thf(zip_derived_cl313, plain,
% 1.40/0.89 (((~ (big_p @ sk8) | (big_p @ (sk1 @ sk7))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0)))) &
% 1.40/0.89 ( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl64])).
% 1.40/0.89 thf('18', plain,
% 1.40/0.89 (~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0)))) |
% 1.40/0.89 ( (big_p @ (sk1 @ sk7))) | ~ ( (big_p @ sk8)) | ~ ( (big_r @ sk7 @ sk8))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl313])).
% 1.40/0.89 thf(zip_derived_cl151, plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.40/0.89 thf(pel38_2, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk6 @ D ) @ ( sk5 @ D ) ) |
% 1.40/0.89 ( big_r @ B @ ( sk2 @ B ) ) ))).
% 1.40/0.89 thf(zf_stmt_19, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk6 @ D ) @ ( sk5 @ D ) ) |
% 1.40/0.89 ( big_r @ B @ ( sk2 @ B ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_2])).
% 1.40/0.89 thf(zip_derived_cl1, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2))
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0)))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.40/0.89 thf(zip_derived_cl58, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl1])).
% 1.40/0.89 thf(zip_derived_cl250, plain,
% 1.40/0.89 (((~ (big_p @ sk8) | (big_r @ sk7 @ (sk2 @ sk7))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0)))) &
% 1.40/0.89 ( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl58])).
% 1.40/0.89 thf('19', plain,
% 1.40/0.89 (( (big_r @ sk7 @ (sk2 @ sk7))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0)))) |
% 1.40/0.89 ~ ( (big_r @ sk7 @ sk8)) | ~ ( (big_p @ sk8))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl250])).
% 1.40/0.89 thf(zip_derived_cl381, plain,
% 1.40/0.89 (( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7)))
% 1.40/0.89 <= (( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl249])).
% 1.40/0.89 thf(zip_derived_cl175, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.40/0.89 thf(zip_derived_cl387, plain,
% 1.40/0.89 (((~ (big_p @ (sk1 @ sk7)) | ~ (big_r @ sk7 @ (sk2 @ sk7))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))) &
% 1.40/0.89 ( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl381, zip_derived_cl175])).
% 1.40/0.89 thf('20', plain,
% 1.40/0.89 (~ ( (big_p @ (sk1 @ sk7))) | ~ ( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))) |
% 1.40/0.89 ~ ( (big_r @ sk7 @ (sk2 @ sk7))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl387])).
% 1.40/0.89 thf(pel38_54, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk9 @ D ) ) | ( ~( big_r @ sk7 @ B ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ sk10 @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_20, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk9 @ D ) ) | ( ~( big_r @ sk7 @ B ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ sk10 @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_54])).
% 1.40/0.89 thf(zip_derived_cl53, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ sk9 @ X0)
% 1.40/0.89 | ~ (big_r @ sk7 @ X1)
% 1.40/0.89 | ~ (big_r @ X1 @ X2)
% 1.40/0.89 | ~ (big_r @ X0 @ X3)
% 1.40/0.89 | ~ (big_p @ X2)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ sk10 @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.40/0.89 thf('21', plain,
% 1.40/0.89 (( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl53])).
% 1.40/0.89 thf(pel38_51, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk7 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ A ) ) | ( big_r @ sk10 @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_21, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk7 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ A ) ) | ( big_r @ sk10 @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_51])).
% 1.40/0.89 thf(zip_derived_cl50, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ sk7 @ X0)
% 1.40/0.89 | ~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ sk9)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ sk10 @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.40/0.89 thf('22', plain,
% 1.40/0.89 (( (big_r @ sk10 @ sk11)) | ~ ( (big_p @ sk9)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl50])).
% 1.40/0.89 thf(pel38_48, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.40/0.89 ( big_r @ sk10 @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_22, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.40/0.89 ( big_r @ sk10 @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_48])).
% 1.40/0.89 thf(zip_derived_cl47, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ sk9 @ X0)
% 1.40/0.89 | ~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ sk7 @ sk8)
% 1.40/0.89 | (big_r @ sk10 @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.40/0.89 thf('23', plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) | ( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl47])).
% 1.40/0.89 thf(pel38_42, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( big_r @ sk10 @ sk11 ) |
% 1.40/0.89 ( big_p @ sk8 ) ))).
% 1.40/0.89 thf(zf_stmt_23, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk9 @ B ) ) | ( ~( big_r @ B @ A ) ) |
% 1.40/0.89 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ A ) ) | ( big_r @ sk10 @ sk11 ) |
% 1.40/0.89 ( big_p @ sk8 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_42])).
% 1.40/0.89 thf(zip_derived_cl41, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ sk9 @ X0)
% 1.40/0.89 | ~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ sk10 @ sk11)
% 1.40/0.89 | (big_p @ sk8))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.40/0.89 thf('24', plain,
% 1.40/0.89 (( (big_p @ sk8)) | ( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl41])).
% 1.40/0.89 thf(zip_derived_cl151, plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.40/0.89 thf(pel38_3, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) |
% 1.40/0.89 ( big_r @ D @ ( sk6 @ D ) ) ))).
% 1.40/0.89 thf(zf_stmt_24, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) |
% 1.40/0.89 ( big_r @ D @ ( sk6 @ D ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_3])).
% 1.40/0.89 thf(zip_derived_cl2, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.40/0.89 | (big_r @ X2 @ (sk6 @ X2)))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.40/0.89 thf(zip_derived_cl59, plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_r @ X2 @ (sk6 @ X2))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ X2 @ (sk6 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl2])).
% 1.40/0.89 thf(zip_derived_cl254, plain,
% 1.40/0.89 (((~ (big_p @ sk8) | (big_r @ sk7 @ (sk6 @ sk7))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ X2 @ (sk6 @ X2)))) &
% 1.40/0.89 ( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl59])).
% 1.40/0.89 thf('25', plain,
% 1.40/0.89 (( (big_r @ sk7 @ (sk6 @ sk7))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_r @ X2 @ (sk6 @ X2)))) |
% 1.40/0.89 ~ ( (big_p @ sk8)) | ~ ( (big_r @ sk7 @ sk8))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl254])).
% 1.40/0.89 thf(zip_derived_cl151, plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.40/0.89 thf(pel38_7, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) |
% 1.40/0.89 ( big_p @ ( sk5 @ D ) ) ))).
% 1.40/0.89 thf(zf_stmt_25, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) |
% 1.40/0.89 ( big_p @ ( sk5 @ D ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_7])).
% 1.40/0.89 thf(zip_derived_cl6, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.40/0.89 | (big_p @ (sk5 @ X2)))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.40/0.89 thf(zip_derived_cl67, plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl6])).
% 1.40/0.89 thf(zip_derived_cl331, plain,
% 1.40/0.89 (((~ (big_p @ sk8) | (big_p @ (sk5 @ sk7))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2)))) &
% 1.40/0.89 ( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl67])).
% 1.40/0.89 thf('26', plain,
% 1.40/0.89 (( (big_p @ (sk5 @ sk7))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2)))) |
% 1.40/0.89 ~ ( (big_p @ sk8)) | ~ ( (big_r @ sk7 @ sk8))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl331])).
% 1.40/0.89 thf(zip_derived_cl151, plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.40/0.89 thf(zip_derived_cl55, plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.40/0.89 thf(zip_derived_cl253, plain,
% 1.40/0.89 (((~ (big_p @ sk8) | (big_r @ (sk6 @ sk7) @ (sk5 @ sk7))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2)))) &
% 1.40/0.89 ( (big_r @ sk7 @ sk8)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl55])).
% 1.40/0.89 thf('27', plain,
% 1.40/0.89 (( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2)))) |
% 1.40/0.89 ~ ( (big_p @ sk8)) | ~ ( (big_r @ sk7 @ sk8))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl253])).
% 1.40/0.89 thf(pel38_45, conjecture,
% 1.40/0.89 (~( ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.40/0.89 ( big_r @ sk10 @ sk11 ) ))).
% 1.40/0.89 thf(zf_stmt_26, negated_conjecture,
% 1.40/0.89 (( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.40/0.89 ( big_r @ sk10 @ sk11 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_45])).
% 1.40/0.89 thf(zip_derived_cl44, plain,
% 1.40/0.89 ((~ (big_p @ sk9)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | (big_r @ sk7 @ sk8)
% 1.40/0.89 | (big_r @ sk10 @ sk11))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.40/0.89 thf('28', plain,
% 1.40/0.89 (( (big_r @ sk7 @ sk8)) | ( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 ~ ( (big_p @ sk9)) | ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl44])).
% 1.40/0.89 thf(pel38_39, conjecture,
% 1.40/0.89 (~( ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) |
% 1.40/0.89 ( big_r @ sk10 @ sk11 ) | ( big_p @ sk8 ) ))).
% 1.40/0.89 thf(zf_stmt_27, negated_conjecture,
% 1.40/0.89 (( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk10 @ sk11 ) |
% 1.40/0.89 ( big_p @ sk8 )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_39])).
% 1.40/0.89 thf(zip_derived_cl38, plain,
% 1.40/0.89 ((~ (big_p @ sk9)
% 1.40/0.89 | ~ (big_p @ sk7)
% 1.40/0.89 | (big_r @ sk10 @ sk11)
% 1.40/0.89 | (big_p @ sk8))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.40/0.89 thf('29', plain,
% 1.40/0.89 (( (big_p @ sk8)) | ( (big_r @ sk10 @ sk11)) | ~ ( (big_p @ sk9)) |
% 1.40/0.89 ~ ( (big_p @ sk7))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.40/0.89 thf(pel38_16, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk4 @ C ) @ ( sk3 @ C ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) | ( big_p @ C ) ))).
% 1.40/0.89 thf(zf_stmt_28, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk4 @ C ) @ ( sk3 @ C ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) | ( big_p @ C )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_16])).
% 1.40/0.89 thf(zip_derived_cl15, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk4 @ X2) @ (sk3 @ X2))
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_28])).
% 1.40/0.89 thf('30', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl15])).
% 1.40/0.89 thf(pel38_18, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) | ( big_r @ C @ ( sk4 @ C ) ) |
% 1.40/0.89 ( big_p @ C ) ))).
% 1.40/0.89 thf(zf_stmt_29, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) | ( big_r @ C @ ( sk4 @ C ) ) |
% 1.40/0.89 ( big_p @ C )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_18])).
% 1.40/0.89 thf(zip_derived_cl17, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.40/0.89 | (big_r @ X2 @ (sk4 @ X2))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_29])).
% 1.40/0.89 thf('31', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.40/0.89 thf(pel38_22, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) | ( big_p @ ( sk3 @ C ) ) |
% 1.40/0.89 ( big_p @ C ) ))).
% 1.40/0.89 thf(zf_stmt_30, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ B ) @ ( sk1 @ B ) ) | ( big_p @ ( sk3 @ C ) ) |
% 1.40/0.89 ( big_p @ C )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_22])).
% 1.40/0.89 thf(zip_derived_cl21, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.40/0.89 | (big_p @ (sk3 @ X2))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_30])).
% 1.40/0.89 thf('32', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl21])).
% 1.40/0.89 thf('33', plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl1])).
% 1.40/0.89 thf(pel38_8, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ B @ ( sk2 @ B ) ) |
% 1.40/0.89 ( big_p @ ( sk5 @ D ) ) ))).
% 1.40/0.89 thf(zf_stmt_31, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ B @ ( sk2 @ B ) ) | ( big_p @ ( sk5 @ D ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_8])).
% 1.40/0.89 thf(zip_derived_cl7, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0))
% 1.40/0.89 | (big_p @ (sk5 @ X2)))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_31])).
% 1.40/0.89 thf('34', plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl7])).
% 1.40/0.89 thf('35', plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.40/0.89 thf('36', plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl6])).
% 1.40/0.89 thf(zip_derived_cl131, plain,
% 1.40/0.89 (( (big_r @ sk10 @ sk11)) <= (( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.40/0.89 thf(zip_derived_cl67, plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl6])).
% 1.40/0.89 thf(zip_derived_cl334, plain,
% 1.40/0.89 (((~ (big_p @ sk11) | (big_p @ (sk5 @ sk10))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2)))) &
% 1.40/0.89 ( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl67])).
% 1.40/0.89 thf('37', plain,
% 1.40/0.89 (( (big_p @ (sk5 @ sk10))) | ~ ( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 ~
% 1.40/0.89 (![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2)))) |
% 1.40/0.89 ~ ( (big_p @ sk11))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl334])).
% 1.40/0.89 thf('38', plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl4])).
% 1.40/0.89 thf(pel38_9, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_p @ ( sk5 @ D ) ) | ( big_p @ ( sk1 @ B ) ) ))).
% 1.40/0.89 thf(zf_stmt_32, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_p @ ( sk5 @ D ) ) | ( big_p @ ( sk1 @ B ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_9])).
% 1.40/0.89 thf(zip_derived_cl8, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_p @ (sk5 @ X2))
% 1.40/0.89 | (big_p @ (sk1 @ X0)))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_32])).
% 1.40/0.89 thf('39', plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_p @ (sk5 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl8])).
% 1.40/0.89 thf(zip_derived_cl131, plain,
% 1.40/0.89 (( (big_r @ sk10 @ sk11)) <= (( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.40/0.89 thf(zip_derived_cl59, plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_r @ X2 @ (sk6 @ X2))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ X2 @ (sk6 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl2])).
% 1.40/0.89 thf(zip_derived_cl224, plain,
% 1.40/0.89 (((~ (big_p @ sk11) | (big_r @ sk10 @ (sk6 @ sk10))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ X2 @ (sk6 @ X2)))) &
% 1.40/0.89 ( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl59])).
% 1.40/0.89 thf('40', plain,
% 1.40/0.89 (( (big_r @ sk10 @ (sk6 @ sk10))) | ~ ( (big_p @ sk11)) |
% 1.40/0.89 ~ ( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 ~
% 1.40/0.89 (![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_r @ X2 @ (sk6 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl224])).
% 1.40/0.89 thf(zip_derived_cl342, plain,
% 1.40/0.89 (( (big_p @ (sk5 @ sk10))) <= (( (big_p @ (sk5 @ sk10))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl334])).
% 1.40/0.89 thf(zip_derived_cl131, plain,
% 1.40/0.89 (( (big_r @ sk10 @ sk11)) <= (( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.40/0.89 thf(zip_derived_cl55, plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.40/0.89 thf(zip_derived_cl203, plain,
% 1.40/0.89 (((~ (big_p @ sk11) | (big_r @ (sk6 @ sk10) @ (sk5 @ sk10))))
% 1.40/0.89 <= ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2)))) &
% 1.40/0.89 ( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl55])).
% 1.40/0.89 thf(zip_derived_cl299, plain,
% 1.40/0.89 (( (big_r @ (sk6 @ sk10) @ (sk5 @ sk10)))
% 1.40/0.89 <= (( (big_r @ (sk6 @ sk10) @ (sk5 @ sk10))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl203])).
% 1.40/0.89 thf(zip_derived_cl230, plain,
% 1.40/0.89 (( (big_r @ sk10 @ (sk6 @ sk10))) <= (( (big_r @ sk10 @ (sk6 @ sk10))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl224])).
% 1.40/0.89 thf(zip_derived_cl147, plain,
% 1.40/0.89 ((![X1 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_p @ X3) | ~ (big_r @ sk10 @ X1) | ~ (big_r @ X1 @ X3)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl42])).
% 1.40/0.89 thf(zip_derived_cl237, plain,
% 1.40/0.89 ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk6 @ sk10) @ X0)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) &
% 1.40/0.89 ( (big_r @ sk10 @ (sk6 @ sk10))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl230, zip_derived_cl147])).
% 1.40/0.89 thf(zip_derived_cl341, plain,
% 1.40/0.89 ((~ (big_p @ (sk5 @ sk10)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) &
% 1.40/0.89 ( (big_r @ sk10 @ (sk6 @ sk10))) &
% 1.40/0.89 ( (big_r @ (sk6 @ sk10) @ (sk5 @ sk10))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl299, zip_derived_cl237])).
% 1.40/0.89 thf('41', plain,
% 1.40/0.89 (~ ( (big_r @ (sk6 @ sk10) @ (sk5 @ sk10))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ (sk5 @ sk10))) | ~ ( (big_r @ sk10 @ (sk6 @ sk10)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl342, zip_derived_cl341])).
% 1.40/0.89 thf(zip_derived_cl131, plain,
% 1.40/0.89 (( (big_r @ sk10 @ sk11)) <= (( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.40/0.89 thf(zip_derived_cl56, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.40/0.89 thf(zip_derived_cl200, plain,
% 1.40/0.89 (((~ (big_p @ sk11) | (big_r @ (sk2 @ sk10) @ (sk1 @ sk10))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) &
% 1.40/0.89 ( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl56])).
% 1.40/0.89 thf('42', plain,
% 1.40/0.89 (( (big_r @ (sk2 @ sk10) @ (sk1 @ sk10))) | ~ ( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.40/0.89 ~ ( (big_p @ sk11))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl200])).
% 1.40/0.89 thf(zip_derived_cl131, plain,
% 1.40/0.89 (( (big_r @ sk10 @ sk11)) <= (( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.40/0.89 thf(zip_derived_cl58, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl1])).
% 1.40/0.89 thf(zip_derived_cl201, plain,
% 1.40/0.89 (((~ (big_p @ sk11) | (big_r @ sk10 @ (sk2 @ sk10))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0)))) &
% 1.40/0.89 ( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl58])).
% 1.40/0.89 thf('43', plain,
% 1.40/0.89 (( (big_r @ sk10 @ (sk2 @ sk10))) | ~ ( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0)))) |
% 1.40/0.89 ~ ( (big_p @ sk11))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl201])).
% 1.40/0.89 thf(zip_derived_cl131, plain,
% 1.40/0.89 (( (big_r @ sk10 @ sk11)) <= (( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.40/0.89 thf(zip_derived_cl64, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl4])).
% 1.40/0.89 thf(zip_derived_cl316, plain,
% 1.40/0.89 (((~ (big_p @ sk11) | (big_p @ (sk1 @ sk10))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0)))) &
% 1.40/0.89 ( (big_r @ sk10 @ sk11)))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl64])).
% 1.40/0.89 thf('44', plain,
% 1.40/0.89 (( (big_p @ (sk1 @ sk10))) | ~ ( (big_p @ sk11)) |
% 1.40/0.89 ~ ( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl316])).
% 1.40/0.89 thf('45', plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_r @ X2 @ (sk6 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl2])).
% 1.40/0.89 thf(pel38_4, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ B @ ( sk2 @ B ) ) |
% 1.40/0.89 ( big_r @ D @ ( sk6 @ D ) ) ))).
% 1.40/0.89 thf(zf_stmt_33, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ B @ ( sk2 @ B ) ) |
% 1.40/0.89 ( big_r @ D @ ( sk6 @ D ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_4])).
% 1.40/0.89 thf(zip_derived_cl3, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ X0 @ (sk2 @ X0))
% 1.40/0.89 | (big_r @ X2 @ (sk6 @ X2)))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_33])).
% 1.40/0.89 thf('46', plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_r @ X2 @ (sk6 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl3])).
% 1.40/0.89 thf(pel38_6, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ D @ ( sk6 @ D ) ) |
% 1.40/0.89 ( big_p @ ( sk1 @ B ) ) ))).
% 1.40/0.89 thf(zf_stmt_34, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ A ) ) |
% 1.40/0.89 ( ~( big_p @ C ) ) | ( big_r @ D @ ( sk6 @ D ) ) | ( big_p @ ( sk1 @ B ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_6])).
% 1.40/0.89 thf(zip_derived_cl5, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ X2 @ (sk6 @ X2))
% 1.40/0.89 | (big_p @ (sk1 @ X0)))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_34])).
% 1.40/0.89 thf('47', plain,
% 1.40/0.89 ((![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3) | ~ (big_p @ X3) | (big_r @ X2 @ (sk6 @ X2)))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl5])).
% 1.40/0.89 thf(zip_derived_cl216, plain,
% 1.40/0.89 (( (big_r @ (sk2 @ sk10) @ (sk1 @ sk10)))
% 1.40/0.89 <= (( (big_r @ (sk2 @ sk10) @ (sk1 @ sk10))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl200])).
% 1.40/0.89 thf(zip_derived_cl207, plain,
% 1.40/0.89 (( (big_r @ sk10 @ (sk2 @ sk10))) <= (( (big_r @ sk10 @ (sk2 @ sk10))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl201])).
% 1.40/0.89 thf(zip_derived_cl147, plain,
% 1.40/0.89 ((![X1 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_p @ X3) | ~ (big_r @ sk10 @ X1) | ~ (big_r @ X1 @ X3)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl42])).
% 1.40/0.89 thf(zip_derived_cl213, plain,
% 1.40/0.89 ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk2 @ sk10) @ X0)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) &
% 1.40/0.89 ( (big_r @ sk10 @ (sk2 @ sk10))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl207, zip_derived_cl147])).
% 1.40/0.89 thf(zip_derived_cl326, plain,
% 1.40/0.89 ((~ (big_p @ (sk1 @ sk10)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) &
% 1.40/0.89 ( (big_r @ sk10 @ (sk2 @ sk10))) &
% 1.40/0.89 ( (big_r @ (sk2 @ sk10) @ (sk1 @ sk10))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl213])).
% 1.40/0.89 thf(zip_derived_cl230, plain,
% 1.40/0.89 (( (big_r @ sk10 @ (sk6 @ sk10))) <= (( (big_r @ sk10 @ (sk6 @ sk10))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl224])).
% 1.40/0.89 thf(zip_derived_cl64, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl4])).
% 1.40/0.89 thf(zip_derived_cl315, plain,
% 1.40/0.89 (((~ (big_p @ (sk6 @ sk10)) | (big_p @ (sk1 @ sk10))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | (big_p @ (sk1 @ X0)))) &
% 1.40/0.89 ( (big_r @ sk10 @ (sk6 @ sk10))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl230, zip_derived_cl64])).
% 1.40/0.89 thf(zip_derived_cl322, plain,
% 1.40/0.89 (( (big_p @ (sk1 @ sk10))) <= (( (big_p @ (sk1 @ sk10))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl315])).
% 1.40/0.89 thf('48', plain,
% 1.40/0.89 (~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0))) |
% 1.40/0.89 ~ ( (big_r @ (sk2 @ sk10) @ (sk1 @ sk10))) |
% 1.40/0.89 ~ ( (big_p @ (sk1 @ sk10))) | ~ ( (big_r @ sk10 @ (sk2 @ sk10)))),
% 1.40/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl326, zip_derived_cl322])).
% 1.40/0.89 thf('49', plain,
% 1.40/0.89 (( (big_r @ (sk6 @ sk10) @ (sk5 @ sk10))) | ~ ( (big_p @ sk11)) |
% 1.40/0.89 ~ ( (big_r @ sk10 @ sk11)) |
% 1.40/0.89 ~
% 1.40/0.89 (![X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ X2 @ X3)
% 1.40/0.89 | ~ (big_p @ X3)
% 1.40/0.89 | (big_r @ (sk6 @ X2) @ (sk5 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl203])).
% 1.40/0.89 thf(zip_derived_cl89, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.40/0.89 thf(zip_derived_cl85, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl15])).
% 1.40/0.89 thf(zip_derived_cl175, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.40/0.89 thf(zip_derived_cl497, plain,
% 1.40/0.89 ((![X0 : $i]:
% 1.40/0.89 ( (big_p @ X0)
% 1.40/0.89 | ~ (big_p @ (sk3 @ X0))
% 1.40/0.89 | ~ (big_r @ sk7 @ (sk4 @ X0))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl175])).
% 1.40/0.89 thf(zip_derived_cl738, plain,
% 1.40/0.89 ((( (big_p @ sk7) | (big_p @ sk7) | ~ (big_p @ (sk3 @ sk7))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl497])).
% 1.40/0.89 thf(zip_derived_cl739, plain,
% 1.40/0.89 (((~ (big_p @ (sk3 @ sk7)) | (big_p @ sk7)))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('simplify', [status(thm)], [zip_derived_cl738])).
% 1.40/0.89 thf('50', plain,
% 1.40/0.89 (~ ( (big_p @ (sk3 @ sk7))) | ( (big_p @ sk7)) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl739])).
% 1.40/0.89 thf(zip_derived_cl777, plain,
% 1.40/0.89 ((~ (big_p @ (sk3 @ sk7))) <= (~ ( (big_p @ (sk3 @ sk7))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl739])).
% 1.40/0.89 thf(zip_derived_cl97, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl21])).
% 1.40/0.89 thf(zip_derived_cl779, plain,
% 1.40/0.89 (( (big_p @ sk7))
% 1.40/0.89 <= (~ ( (big_p @ (sk3 @ sk7))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2)))))),
% 1.40/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl777, zip_derived_cl97])).
% 1.40/0.89 thf(zip_derived_cl129, plain, ((~ (big_p @ sk7)) <= (~ ( (big_p @ sk7)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.40/0.89 thf('51', plain,
% 1.40/0.89 (( (big_p @ (sk3 @ sk7))) | ( (big_p @ sk7)) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl779, zip_derived_cl129])).
% 1.40/0.89 thf(pel38_31, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ C @ B ) ) | ( ~( big_p @ B ) ) |
% 1.40/0.89 ( big_r @ ( sk6 @ C ) @ ( sk5 @ C ) ) | ( big_p @ ( sk1 @ A ) ) |
% 1.40/0.89 ( big_p @ A ) ))).
% 1.40/0.89 thf(zf_stmt_35, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ C @ B ) ) | ( ~( big_p @ B ) ) |
% 1.40/0.89 ( big_r @ ( sk6 @ C ) @ ( sk5 @ C ) ) | ( big_p @ ( sk1 @ A ) ) |
% 1.40/0.89 ( big_p @ A )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_31])).
% 1.40/0.89 thf(zip_derived_cl30, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk6 @ X0) @ (sk5 @ X0))
% 1.40/0.89 | (big_p @ (sk1 @ X2))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_35])).
% 1.40/0.89 thf(zip_derived_cl115, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl30])).
% 1.40/0.89 thf(zip_derived_cl381, plain,
% 1.40/0.89 (( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7)))
% 1.40/0.89 <= (( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl249])).
% 1.40/0.89 thf(zip_derived_cl139, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl40])).
% 1.40/0.89 thf(zip_derived_cl386, plain,
% 1.40/0.89 (((~ (big_p @ (sk1 @ sk7)) | ~ (big_r @ sk9 @ (sk2 @ sk7))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) &
% 1.40/0.89 ( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl381, zip_derived_cl139])).
% 1.40/0.89 thf(zip_derived_cl392, plain,
% 1.40/0.89 ((~ (big_p @ (sk1 @ sk7))) <= (~ ( (big_p @ (sk1 @ sk7))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl386])).
% 1.40/0.89 thf(zip_derived_cl395, plain,
% 1.40/0.89 (( (big_p @ sk7))
% 1.40/0.89 <= (~ ( (big_p @ (sk1 @ sk7))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2)))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl392])).
% 1.40/0.89 thf(zip_derived_cl129, plain, ((~ (big_p @ sk7)) <= (~ ( (big_p @ sk7)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.40/0.89 thf('52', plain,
% 1.40/0.89 (( (big_p @ sk7)) | ( (big_p @ (sk1 @ sk7))) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl395, zip_derived_cl129])).
% 1.40/0.89 thf(pel38_12, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ C @ B ) ) | ( ~( big_p @ B ) ) |
% 1.40/0.89 ( big_r @ ( sk6 @ C ) @ ( sk5 @ C ) ) | ( big_r @ A @ ( sk2 @ A ) ) |
% 1.40/0.89 ( big_p @ A ) ))).
% 1.40/0.89 thf(zf_stmt_36, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ C @ B ) ) | ( ~( big_p @ B ) ) |
% 1.40/0.89 ( big_r @ ( sk6 @ C ) @ ( sk5 @ C ) ) | ( big_r @ A @ ( sk2 @ A ) ) |
% 1.40/0.89 ( big_p @ A )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_12])).
% 1.40/0.89 thf(zip_derived_cl11, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk6 @ X0) @ (sk5 @ X0))
% 1.40/0.89 | (big_r @ X2 @ (sk2 @ X2))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_36])).
% 1.40/0.89 thf(zip_derived_cl77, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl11])).
% 1.40/0.89 thf(pel38_10, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ C @ B ) ) | ( ~( big_p @ B ) ) |
% 1.40/0.89 ( big_r @ ( sk6 @ C ) @ ( sk5 @ C ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ A ) @ ( sk1 @ A ) ) | ( big_p @ A ) ))).
% 1.40/0.89 thf(zf_stmt_37, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ C @ B ) ) | ( ~( big_p @ B ) ) |
% 1.40/0.89 ( big_r @ ( sk6 @ C ) @ ( sk5 @ C ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ A ) @ ( sk1 @ A ) ) | ( big_p @ A )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_10])).
% 1.40/0.89 thf(zip_derived_cl9, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1)
% 1.40/0.89 | ~ (big_p @ X1)
% 1.40/0.89 | (big_r @ (sk6 @ X0) @ (sk5 @ X0))
% 1.40/0.89 | (big_r @ (sk2 @ X2) @ (sk1 @ X2))
% 1.40/0.89 | (big_p @ X2))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_37])).
% 1.40/0.89 thf(zip_derived_cl73, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2)))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl9])).
% 1.40/0.89 thf(zip_derived_cl175, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.40/0.89 thf(zip_derived_cl366, plain,
% 1.40/0.89 ((![X0 : $i]:
% 1.40/0.89 ( (big_p @ X0)
% 1.40/0.89 | ~ (big_p @ (sk1 @ X0))
% 1.40/0.89 | ~ (big_r @ sk7 @ (sk2 @ X0))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl175])).
% 1.40/0.89 thf(zip_derived_cl729, plain,
% 1.40/0.89 ((( (big_p @ sk7) | (big_p @ sk7) | ~ (big_p @ (sk1 @ sk7))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl366])).
% 1.40/0.89 thf(zip_derived_cl731, plain,
% 1.40/0.89 (((~ (big_p @ (sk1 @ sk7)) | (big_p @ sk7)))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('simplify', [status(thm)], [zip_derived_cl729])).
% 1.40/0.89 thf('53', plain,
% 1.40/0.89 (~ (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))) |
% 1.40/0.89 ( (big_p @ sk7)) | ~ ( (big_p @ (sk1 @ sk7))) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl731])).
% 1.40/0.89 thf(zip_derived_cl412, plain,
% 1.40/0.89 (( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7)))
% 1.40/0.89 <= (( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl253])).
% 1.40/0.89 thf(zip_derived_cl175, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl49])).
% 1.40/0.89 thf(zip_derived_cl418, plain,
% 1.40/0.89 (((~ (big_p @ (sk5 @ sk7)) | ~ (big_r @ sk7 @ (sk6 @ sk7))))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))) &
% 1.40/0.89 ( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl412, zip_derived_cl175])).
% 1.40/0.89 thf('54', plain,
% 1.40/0.89 (~ ( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7))) | ~ ( (big_p @ (sk5 @ sk7))) |
% 1.40/0.89 ~ ( (big_r @ sk7 @ (sk6 @ sk7))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl418])).
% 1.40/0.89 thf(pel38_52, conjecture,
% 1.40/0.89 (~( ( ~( big_r @ sk7 @ B ) ) | ( ~( big_r @ sk10 @ D ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) |
% 1.40/0.89 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ A ) ) | ( ~( big_p @ C ) ) ))).
% 1.40/0.89 thf(zf_stmt_38, negated_conjecture,
% 1.40/0.89 (( ~( big_r @ sk7 @ B ) ) | ( ~( big_r @ sk10 @ D ) ) |
% 1.40/0.89 ( ~( big_r @ B @ A ) ) | ( ~( big_r @ D @ C ) ) | ( ~( big_p @ sk9 ) ) |
% 1.40/0.89 ( ~( big_p @ A ) ) | ( ~( big_p @ C ) )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_52])).
% 1.40/0.89 thf(zip_derived_cl51, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.40/0.89 (~ (big_r @ sk7 @ X0)
% 1.40/0.89 | ~ (big_r @ sk10 @ X1)
% 1.40/0.89 | ~ (big_r @ X0 @ X2)
% 1.40/0.89 | ~ (big_r @ X1 @ X3)
% 1.40/0.89 | ~ (big_p @ sk9)
% 1.40/0.89 | ~ (big_p @ X2)
% 1.40/0.89 | ~ (big_p @ X3))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_38])).
% 1.40/0.89 thf('55', plain,
% 1.40/0.89 (~ ( (big_p @ sk9)) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk7 @ X0))) |
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk10 @ X0)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl51])).
% 1.40/0.89 thf(pel38_26, conjecture,
% 1.40/0.89 (~( ( big_r @ ( sk2 @ A ) @ ( sk1 @ A ) ) | ( big_r @ B @ ( sk4 @ B ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B ) ))).
% 1.40/0.89 thf(zf_stmt_39, negated_conjecture,
% 1.40/0.89 (( big_r @ ( sk2 @ A ) @ ( sk1 @ A ) ) | ( big_r @ B @ ( sk4 @ B ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_26])).
% 1.40/0.89 thf(zip_derived_cl25, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 ( (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.40/0.89 | (big_r @ X1 @ (sk4 @ X1))
% 1.40/0.89 | (big_p @ X0)
% 1.40/0.89 | (big_p @ X1))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_39])).
% 1.40/0.89 thf('56', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) |
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl25])).
% 1.40/0.89 thf(pel38_28, conjecture,
% 1.40/0.89 (~( ( big_r @ A @ ( sk2 @ A ) ) | ( big_r @ B @ ( sk4 @ B ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B ) ))).
% 1.40/0.89 thf(zf_stmt_40, negated_conjecture,
% 1.40/0.89 (( big_r @ A @ ( sk2 @ A ) ) | ( big_r @ B @ ( sk4 @ B ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_28])).
% 1.40/0.89 thf(zip_derived_cl27, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 ( (big_r @ X0 @ (sk2 @ X0))
% 1.40/0.89 | (big_r @ X1 @ (sk4 @ X1))
% 1.40/0.89 | (big_p @ X0)
% 1.40/0.89 | (big_p @ X1))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_40])).
% 1.40/0.89 thf('57', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))) |
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl27])).
% 1.40/0.89 thf(pel38_35, conjecture,
% 1.40/0.89 (~( ( big_r @ B @ ( sk4 @ B ) ) | ( big_p @ ( sk1 @ A ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B ) ))).
% 1.40/0.89 thf(zf_stmt_41, negated_conjecture,
% 1.40/0.89 (( big_r @ B @ ( sk4 @ B ) ) | ( big_p @ ( sk1 @ A ) ) | ( big_p @ A ) |
% 1.40/0.89 ( big_p @ B )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_35])).
% 1.40/0.89 thf(zip_derived_cl34, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 ( (big_r @ X0 @ (sk4 @ X0))
% 1.40/0.89 | (big_p @ (sk1 @ X1))
% 1.40/0.89 | (big_p @ X1)
% 1.40/0.89 | (big_p @ X0))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_41])).
% 1.40/0.89 thf('58', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2)))) |
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl34])).
% 1.40/0.89 thf(zip_derived_cl89, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl17])).
% 1.40/0.89 thf(zip_derived_cl85, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl15])).
% 1.40/0.89 thf(zip_derived_cl139, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl40])).
% 1.40/0.89 thf(zip_derived_cl496, plain,
% 1.40/0.89 ((![X0 : $i]:
% 1.40/0.89 ( (big_p @ X0)
% 1.40/0.89 | ~ (big_p @ (sk3 @ X0))
% 1.40/0.89 | ~ (big_r @ sk9 @ (sk4 @ X0))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl139])).
% 1.40/0.89 thf(zip_derived_cl734, plain,
% 1.40/0.89 ((( (big_p @ sk9) | (big_p @ sk9) | ~ (big_p @ (sk3 @ sk9))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl496])).
% 1.40/0.89 thf(zip_derived_cl735, plain,
% 1.40/0.89 (((~ (big_p @ (sk3 @ sk9)) | (big_p @ sk9)))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.40/0.89 inference('simplify', [status(thm)], [zip_derived_cl734])).
% 1.40/0.89 thf('59', plain,
% 1.40/0.89 (~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 ~ ( (big_p @ (sk3 @ sk9))) | ( (big_p @ sk9)) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2)))) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk4 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl735])).
% 1.40/0.89 thf(zip_derived_cl750, plain,
% 1.40/0.89 ((~ (big_p @ (sk3 @ sk9))) <= (~ ( (big_p @ (sk3 @ sk9))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl735])).
% 1.40/0.89 thf(zip_derived_cl97, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl21])).
% 1.40/0.89 thf(zip_derived_cl752, plain,
% 1.40/0.89 (( (big_p @ sk9))
% 1.40/0.89 <= (~ ( (big_p @ (sk3 @ sk9))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2)))))),
% 1.40/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl750, zip_derived_cl97])).
% 1.40/0.89 thf(zip_derived_cl130, plain, ((~ (big_p @ sk9)) <= (~ ( (big_p @ sk9)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.40/0.89 thf('60', plain,
% 1.40/0.89 (( (big_p @ (sk3 @ sk9))) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2)))) |
% 1.40/0.89 ( (big_p @ sk9))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl752, zip_derived_cl130])).
% 1.40/0.89 thf(pel38_25, conjecture,
% 1.40/0.89 (~( ( big_r @ ( sk4 @ B ) @ ( sk3 @ B ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ A ) @ ( sk1 @ A ) ) | ( big_p @ A ) | ( big_p @ B ) ))).
% 1.40/0.89 thf(zf_stmt_42, negated_conjecture,
% 1.40/0.89 (( big_r @ ( sk4 @ B ) @ ( sk3 @ B ) ) |
% 1.40/0.89 ( big_r @ ( sk2 @ A ) @ ( sk1 @ A ) ) | ( big_p @ A ) | ( big_p @ B )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_25])).
% 1.40/0.89 thf(zip_derived_cl24, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 ( (big_r @ (sk4 @ X0) @ (sk3 @ X0))
% 1.40/0.89 | (big_r @ (sk2 @ X1) @ (sk1 @ X1))
% 1.40/0.89 | (big_p @ X1)
% 1.40/0.89 | (big_p @ X0))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_42])).
% 1.40/0.89 thf('61', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) |
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl24])).
% 1.40/0.89 thf(pel38_27, conjecture,
% 1.40/0.89 (~( ( big_r @ ( sk4 @ B ) @ ( sk3 @ B ) ) | ( big_r @ A @ ( sk2 @ A ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B ) ))).
% 1.40/0.89 thf(zf_stmt_43, negated_conjecture,
% 1.40/0.89 (( big_r @ ( sk4 @ B ) @ ( sk3 @ B ) ) | ( big_r @ A @ ( sk2 @ A ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_27])).
% 1.40/0.89 thf(zip_derived_cl26, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 ( (big_r @ (sk4 @ X0) @ (sk3 @ X0))
% 1.40/0.89 | (big_r @ X1 @ (sk2 @ X1))
% 1.40/0.89 | (big_p @ X1)
% 1.40/0.89 | (big_p @ X0))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_43])).
% 1.40/0.89 thf('62', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))) |
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl26])).
% 1.40/0.89 thf(pel38_34, conjecture,
% 1.40/0.89 (~( ( big_r @ ( sk4 @ B ) @ ( sk3 @ B ) ) | ( big_p @ ( sk1 @ A ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B ) ))).
% 1.40/0.89 thf(zf_stmt_44, negated_conjecture,
% 1.40/0.89 (( big_r @ ( sk4 @ B ) @ ( sk3 @ B ) ) | ( big_p @ ( sk1 @ A ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_34])).
% 1.40/0.89 thf(zip_derived_cl33, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 ( (big_r @ (sk4 @ X0) @ (sk3 @ X0))
% 1.40/0.89 | (big_p @ (sk1 @ X1))
% 1.40/0.89 | (big_p @ X1)
% 1.40/0.89 | (big_p @ X0))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_44])).
% 1.40/0.89 thf('63', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2)))) |
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ (sk4 @ X2) @ (sk3 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl33])).
% 1.40/0.89 thf(zip_derived_cl77, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl11])).
% 1.40/0.89 thf(zip_derived_cl73, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2)))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl9])).
% 1.40/0.89 thf(zip_derived_cl139, plain,
% 1.40/0.89 ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0)))
% 1.40/0.89 <= ((![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl40])).
% 1.40/0.89 thf(zip_derived_cl365, plain,
% 1.40/0.89 ((![X0 : $i]:
% 1.40/0.89 ( (big_p @ X0)
% 1.40/0.89 | ~ (big_p @ (sk1 @ X0))
% 1.40/0.89 | ~ (big_r @ sk9 @ (sk2 @ X0))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl139])).
% 1.40/0.89 thf(zip_derived_cl708, plain,
% 1.40/0.89 ((( (big_p @ sk9) | (big_p @ sk9) | ~ (big_p @ (sk1 @ sk9))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl365])).
% 1.40/0.89 thf(zip_derived_cl709, plain,
% 1.40/0.89 (((~ (big_p @ (sk1 @ sk9)) | (big_p @ sk9)))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))) &
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.40/0.89 inference('simplify', [status(thm)], [zip_derived_cl708])).
% 1.40/0.89 thf(zip_derived_cl711, plain,
% 1.40/0.89 ((~ (big_p @ (sk1 @ sk9))) <= (~ ( (big_p @ (sk1 @ sk9))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl709])).
% 1.40/0.89 thf(zip_derived_cl115, plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2))))
% 1.40/0.89 <= ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2)))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl30])).
% 1.40/0.89 thf(zip_derived_cl713, plain,
% 1.40/0.89 (( (big_p @ sk9))
% 1.40/0.89 <= (~ ( (big_p @ (sk1 @ sk9))) &
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2)))))),
% 1.40/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl711, zip_derived_cl115])).
% 1.40/0.89 thf(zip_derived_cl130, plain, ((~ (big_p @ sk9)) <= (~ ( (big_p @ sk9)))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.40/0.89 thf('64', plain,
% 1.40/0.89 (( (big_p @ (sk1 @ sk9))) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2)))) |
% 1.40/0.89 ( (big_p @ sk9))),
% 1.40/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl713, zip_derived_cl130])).
% 1.40/0.89 thf(pel38_29, conjecture,
% 1.40/0.89 (~( ( big_r @ ( sk2 @ A ) @ ( sk1 @ A ) ) | ( big_p @ ( sk3 @ B ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B ) ))).
% 1.40/0.89 thf(zf_stmt_45, negated_conjecture,
% 1.40/0.89 (( big_r @ ( sk2 @ A ) @ ( sk1 @ A ) ) | ( big_p @ ( sk3 @ B ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_29])).
% 1.40/0.89 thf(zip_derived_cl28, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 ( (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.40/0.89 | (big_p @ (sk3 @ X1))
% 1.40/0.89 | (big_p @ X0)
% 1.40/0.89 | (big_p @ X1))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_45])).
% 1.40/0.89 thf('65', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) |
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl28])).
% 1.40/0.89 thf(pel38_30, conjecture,
% 1.40/0.89 (~( ( big_r @ A @ ( sk2 @ A ) ) | ( big_p @ ( sk3 @ B ) ) |
% 1.40/0.89 ( big_p @ A ) | ( big_p @ B ) ))).
% 1.40/0.89 thf(zf_stmt_46, negated_conjecture,
% 1.40/0.89 (( big_r @ A @ ( sk2 @ A ) ) | ( big_p @ ( sk3 @ B ) ) | ( big_p @ A ) |
% 1.40/0.89 ( big_p @ B )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_30])).
% 1.40/0.89 thf(zip_derived_cl29, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 ( (big_r @ X0 @ (sk2 @ X0))
% 1.40/0.89 | (big_p @ (sk3 @ X1))
% 1.40/0.89 | (big_p @ X0)
% 1.40/0.89 | (big_p @ X1))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_46])).
% 1.40/0.89 thf('66', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))) |
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl29])).
% 1.40/0.89 thf(pel38_36, conjecture,
% 1.40/0.89 (~( ( big_p @ ( sk3 @ B ) ) | ( big_p @ ( sk1 @ A ) ) | ( big_p @ A ) |
% 1.40/0.89 ( big_p @ B ) ))).
% 1.40/0.89 thf(zf_stmt_47, negated_conjecture,
% 1.40/0.89 (( big_p @ ( sk3 @ B ) ) | ( big_p @ ( sk1 @ A ) ) | ( big_p @ A ) |
% 1.40/0.89 ( big_p @ B )),
% 1.40/0.89 inference('cnf.neg', [status(esa)], [pel38_36])).
% 1.40/0.89 thf(zip_derived_cl35, plain,
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 ( (big_p @ (sk3 @ X0))
% 1.40/0.89 | (big_p @ (sk1 @ X1))
% 1.40/0.89 | (big_p @ X1)
% 1.40/0.89 | (big_p @ X0))),
% 1.40/0.89 inference('cnf', [status(esa)], [zf_stmt_47])).
% 1.40/0.89 thf('67', plain,
% 1.40/0.89 ((![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk1 @ X2)))) |
% 1.40/0.89 (![X2 : $i]: ( (big_p @ X2) | (big_p @ (sk3 @ X2))))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl35])).
% 1.40/0.89 thf('68', plain,
% 1.40/0.89 (~ ( (big_p @ (sk1 @ sk9))) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_p @ X2) | (big_r @ X2 @ (sk2 @ X2)))) |
% 1.40/0.89 ~
% 1.40/0.89 (![X0 : $i, X1 : $i]:
% 1.40/0.89 (~ (big_r @ X0 @ X1) | ~ (big_p @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.40/0.89 ~ (![X2 : $i]: ( (big_r @ (sk2 @ X2) @ (sk1 @ X2)) | (big_p @ X2))) |
% 1.40/0.89 ( (big_p @ sk9))),
% 1.40/0.89 inference('split', [status(esa)], [zip_derived_cl709])).
% 1.40/0.89 thf(zip_derived_cl792, plain, ($false),
% 1.40/0.89 inference('sat_resolution*', [status(thm)],
% 1.40/0.89 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.40/0.89 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 1.40/0.89 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 1.40/0.89 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 1.40/0.89 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51',
% 1.40/0.89 '52', '53', '54', '55', '56', '57', '58', '59', '60', '61',
% 1.40/0.89 '62', '63', '64', '65', '66', '67', '68'])).
% 1.40/0.89
% 1.40/0.89 % SZS output end Refutation
% 1.40/0.89
% 1.40/0.89
% 1.40/0.89 % Terminating...
% 1.52/0.95 % Runner terminated.
% 1.52/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------