TSTP Solution File: SYN067-3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN067-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MNhcjGQ3jv true
% Computer : n014.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 1.31s 0.86s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN067-3 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MNhcjGQ3jv true
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 18:46:17 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Running portfolio for 300 s
% 0.14/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % Number of cores: 8
% 0.14/0.37 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.23/0.63 % Total configuration time : 435
% 0.23/0.63 % Estimated wc time : 1092
% 0.23/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.94/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.86 % Solved by fo/fo1_av.sh.
% 1.31/0.86 % done 281 iterations in 0.090s
% 1.31/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/0.86 % SZS output start Refutation
% 1.31/0.86 thf(big_p_type, type, big_p: $i > $o).
% 1.31/0.86 thf(sk1_type, type, sk1: $i > $i).
% 1.31/0.86 thf(sk2_type, type, sk2: $i > $i).
% 1.31/0.86 thf(sk6_type, type, sk6: $i > $i).
% 1.31/0.86 thf(sk10_type, type, sk10: $i).
% 1.31/0.86 thf(big_r_type, type, big_r: $i > $i > $o).
% 1.31/0.86 thf(sk5_type, type, sk5: $i > $i).
% 1.31/0.86 thf(sk9_type, type, sk9: $i).
% 1.31/0.86 thf(sk4_type, type, sk4: $i > $i).
% 1.31/0.86 thf(sk7_type, type, sk7: $i).
% 1.31/0.86 thf(sk3_type, type, sk3: $i > $i).
% 1.31/0.86 thf(a_type, type, a: $i).
% 1.31/0.86 thf(sk8_type, type, sk8: $i).
% 1.31/0.86 thf(pel38_46, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ sk9 @ O4 ) ) | ( ~( big_r @ sk7 @ P4 ) ) |
% 1.31/0.86 ( ~( big_r @ P4 @ N4 ) ) | ( ~( big_r @ O4 @ M4 ) ) |
% 1.31/0.86 ( ~( big_p @ N4 ) ) | ( ~( big_p @ M4 ) ) ))).
% 1.31/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ sk9 @ O4 ) ) | ( ~( big_r @ sk7 @ P4 ) ) |
% 1.31/0.86 ( ~( big_r @ P4 @ N4 ) ) | ( ~( big_r @ O4 @ M4 ) ) |
% 1.31/0.86 ( ~( big_p @ N4 ) ) | ( ~( big_p @ M4 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_46])).
% 1.31/0.86 thf(zip_derived_cl45, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ sk9 @ X0)
% 1.31/0.86 | ~ (big_r @ sk7 @ X1)
% 1.31/0.86 | ~ (big_r @ X1 @ X2)
% 1.31/0.86 | ~ (big_r @ X0 @ X3)
% 1.31/0.86 | ~ (big_p @ X2)
% 1.31/0.86 | ~ (big_p @ X3))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.86 thf('0', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.31/0.86 thf(pel38_45, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ sk7 @ L4 ) ) | ( ~( big_r @ L4 @ K4 ) ) |
% 1.31/0.86 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ K4 ) ) | ( big_r @ sk9 @ sk10 ) ))).
% 1.31/0.86 thf(zf_stmt_1, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ sk7 @ L4 ) ) | ( ~( big_r @ L4 @ K4 ) ) |
% 1.31/0.86 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ K4 ) ) | ( big_r @ sk9 @ sk10 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_45])).
% 1.31/0.86 thf(zip_derived_cl44, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_r @ sk7 @ X0)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ sk9)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_r @ sk9 @ sk10))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.86 thf('1', plain,
% 1.31/0.86 (( (big_r @ sk9 @ sk10)) | ~ ( (big_p @ sk9)) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl44])).
% 1.31/0.86 thf(pel38_35, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ W3 @ Z3 ) ) | ( ~( big_r @ X3 @ Y3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ Z3 ) ) | ( ~( big_p @ Y3 ) ) |
% 1.31/0.86 ( big_r @ ( sk6 @ X3 ) @ ( sk5 @ X3 ) ) | ( big_r @ W3 @ ( sk2 @ W3 ) ) ))).
% 1.31/0.86 thf(zf_stmt_2, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ W3 @ Z3 ) ) | ( ~( big_r @ X3 @ Y3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ Z3 ) ) | ( ~( big_p @ Y3 ) ) |
% 1.31/0.86 ( big_r @ ( sk6 @ X3 ) @ ( sk5 @ X3 ) ) | ( big_r @ W3 @ ( sk2 @ W3 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_35])).
% 1.31/0.86 thf(zip_derived_cl34, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_r @ X2 @ X3)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | ~ (big_p @ X3)
% 1.31/0.86 | (big_r @ (sk6 @ X2) @ (sk5 @ X2))
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0)))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.31/0.86 thf('2', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl34])).
% 1.31/0.86 thf(pel38_29, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ Z2 @ B3 ) ) | ( ~( big_r @ Y2 @ A3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ B3 ) ) | ( ~( big_p @ A3 ) ) |
% 1.31/0.86 ( big_r @ Z2 @ ( sk2 @ Z2 ) ) | ( big_p @ ( sk5 @ Y2 ) ) ))).
% 1.31/0.86 thf(zf_stmt_3, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ Z2 @ B3 ) ) | ( ~( big_r @ Y2 @ A3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ B3 ) ) | ( ~( big_p @ A3 ) ) |
% 1.31/0.86 ( big_r @ Z2 @ ( sk2 @ Z2 ) ) | ( big_p @ ( sk5 @ Y2 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_29])).
% 1.31/0.86 thf(zip_derived_cl28, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_r @ X2 @ X3)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | ~ (big_p @ X3)
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0))
% 1.31/0.86 | (big_p @ (sk5 @ X2)))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/0.86 thf('3', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl28])).
% 1.31/0.86 thf(pel38_34, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ S3 @ V3 ) ) | ( ~( big_r @ T3 @ U3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ V3 ) ) | ( ~( big_p @ U3 ) ) |
% 1.31/0.86 ( big_r @ ( sk6 @ T3 ) @ ( sk5 @ T3 ) ) | ( big_p @ ( sk1 @ S3 ) ) ))).
% 1.31/0.86 thf(zf_stmt_4, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ S3 @ V3 ) ) | ( ~( big_r @ T3 @ U3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ V3 ) ) | ( ~( big_p @ U3 ) ) |
% 1.31/0.86 ( big_r @ ( sk6 @ T3 ) @ ( sk5 @ T3 ) ) | ( big_p @ ( sk1 @ S3 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_34])).
% 1.31/0.86 thf(zip_derived_cl33, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_r @ X2 @ X3)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | ~ (big_p @ X3)
% 1.31/0.86 | (big_r @ (sk6 @ X2) @ (sk5 @ X2))
% 1.31/0.86 | (big_p @ (sk1 @ X0)))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.31/0.86 thf('4', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl33])).
% 1.31/0.86 thf(pel38_28, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ U2 @ X2 ) ) | ( ~( big_r @ V2 @ W2 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ X2 ) ) | ( ~( big_p @ W2 ) ) |
% 1.31/0.86 ( big_p @ ( sk5 @ V2 ) ) | ( big_p @ ( sk1 @ U2 ) ) ))).
% 1.31/0.86 thf(zf_stmt_5, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ U2 @ X2 ) ) | ( ~( big_r @ V2 @ W2 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ X2 ) ) | ( ~( big_p @ W2 ) ) |
% 1.31/0.86 ( big_p @ ( sk5 @ V2 ) ) | ( big_p @ ( sk1 @ U2 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_28])).
% 1.31/0.86 thf(zip_derived_cl27, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_r @ X2 @ X3)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | ~ (big_p @ X3)
% 1.31/0.86 | (big_p @ (sk5 @ X2))
% 1.31/0.86 | (big_p @ (sk1 @ X0)))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.31/0.86 thf('5', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl27])).
% 1.31/0.86 thf(pel38_32, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ L3 @ N3 ) ) | ( ~( big_r @ K3 @ M3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ N3 ) ) | ( ~( big_p @ M3 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ L3 ) @ ( sk1 @ L3 ) ) | ( big_p @ ( sk5 @ K3 ) ) ))).
% 1.31/0.86 thf(zf_stmt_6, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ L3 @ N3 ) ) | ( ~( big_r @ K3 @ M3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ N3 ) ) | ( ~( big_p @ M3 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ L3 ) @ ( sk1 @ L3 ) ) | ( big_p @ ( sk5 @ K3 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_32])).
% 1.31/0.86 thf(zip_derived_cl31, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_r @ X2 @ X3)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | ~ (big_p @ X3)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.31/0.86 | (big_p @ (sk5 @ X2)))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.31/0.86 thf('6', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl31])).
% 1.31/0.86 thf(pel38_36, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ A4 @ D4 ) ) | ( ~( big_r @ B4 @ C4 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ D4 ) ) | ( ~( big_p @ C4 ) ) |
% 1.31/0.86 ( big_r @ ( sk6 @ B4 ) @ ( sk5 @ B4 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ A4 ) @ ( sk1 @ A4 ) ) ))).
% 1.31/0.86 thf(zf_stmt_7, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ A4 @ D4 ) ) | ( ~( big_r @ B4 @ C4 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ D4 ) ) | ( ~( big_p @ C4 ) ) |
% 1.31/0.86 ( big_r @ ( sk6 @ B4 ) @ ( sk5 @ B4 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ A4 ) @ ( sk1 @ A4 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_36])).
% 1.31/0.86 thf(zip_derived_cl35, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_r @ X2 @ X3)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | ~ (big_p @ X3)
% 1.31/0.86 | (big_r @ (sk6 @ X2) @ (sk5 @ X2))
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.31/0.86 thf('7', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl35])).
% 1.31/0.86 thf(pel38_2, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ a ) ) | ( big_r @ C @ ( sk4 @ C ) ) |
% 1.31/0.86 ( big_p @ ( sk1 @ D ) ) | ( big_p @ D ) | ( big_p @ C ) ))).
% 1.31/0.86 thf(zf_stmt_8, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ a ) ) | ( big_r @ C @ ( sk4 @ C ) ) |
% 1.31/0.86 ( big_p @ ( sk1 @ D ) ) | ( big_p @ D ) | ( big_p @ C )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_2])).
% 1.31/0.86 thf(zip_derived_cl1, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ a)
% 1.31/0.86 | (big_r @ X0 @ (sk4 @ X0))
% 1.31/0.86 | (big_p @ (sk1 @ X1))
% 1.31/0.86 | (big_p @ X1)
% 1.31/0.86 | (big_p @ X0))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_8])).
% 1.31/0.86 thf(zip_derived_cl50, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl1])).
% 1.31/0.86 thf(zip_derived_cl182, plain,
% 1.31/0.86 ((![X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_p @ X2) | ~ (big_r @ sk7 @ X1) | ~ (big_r @ X1 @ X2)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.31/0.86 thf(zip_derived_cl220, plain,
% 1.31/0.86 ((![X0 : $i]:
% 1.31/0.86 ( (big_p @ sk7) | ~ (big_p @ X0) | ~ (big_r @ (sk4 @ sk7) @ X0)))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))) &
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl182])).
% 1.31/0.86 thf(zip_derived_cl234, plain,
% 1.31/0.86 ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk4 @ sk7) @ X0)))
% 1.31/0.86 <= ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk4 @ sk7) @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl220])).
% 1.31/0.86 thf(pel38_3, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ a ) ) | ( big_r @ ( sk4 @ E ) @ ( sk3 @ E ) ) |
% 1.31/0.86 ( big_p @ ( sk1 @ F ) ) | ( big_p @ F ) | ( big_p @ E ) ))).
% 1.31/0.86 thf(zf_stmt_9, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ a ) ) | ( big_r @ ( sk4 @ E ) @ ( sk3 @ E ) ) |
% 1.31/0.86 ( big_p @ ( sk1 @ F ) ) | ( big_p @ F ) | ( big_p @ E )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_3])).
% 1.31/0.86 thf(zip_derived_cl2, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ a)
% 1.31/0.86 | (big_r @ (sk4 @ X0) @ (sk3 @ X0))
% 1.31/0.86 | (big_p @ (sk1 @ X1))
% 1.31/0.86 | (big_p @ X1)
% 1.31/0.86 | (big_p @ X0))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.31/0.86 thf(zip_derived_cl53, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl2])).
% 1.31/0.86 thf(zip_derived_cl237, plain,
% 1.31/0.86 (((~ (big_p @ (sk3 @ sk7)) | (big_p @ sk7)))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))) &
% 1.31/0.86 (![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk4 @ sk7) @ X0))))),
% 1.31/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl234, zip_derived_cl53])).
% 1.31/0.86 thf('8', plain,
% 1.31/0.86 (~ (![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk4 @ sk7) @ X0))) |
% 1.31/0.86 ( (big_p @ sk7)) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ (sk3 @ sk7)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl237])).
% 1.31/0.86 thf('9', plain,
% 1.31/0.86 ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk4 @ sk7) @ X0))) |
% 1.31/0.86 ( (big_p @ sk7)) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl220])).
% 1.31/0.86 thf(pel38_5, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ a ) ) | ( big_r @ J @ ( sk2 @ J ) ) |
% 1.31/0.86 ( big_r @ I @ ( sk4 @ I ) ) | ( big_p @ J ) | ( big_p @ I ) ))).
% 1.31/0.86 thf(zf_stmt_10, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ a ) ) | ( big_r @ J @ ( sk2 @ J ) ) |
% 1.31/0.86 ( big_r @ I @ ( sk4 @ I ) ) | ( big_p @ J ) | ( big_p @ I )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_5])).
% 1.31/0.86 thf(zip_derived_cl4, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ a)
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0))
% 1.31/0.86 | (big_r @ X1 @ (sk4 @ X1))
% 1.31/0.86 | (big_p @ X0)
% 1.31/0.86 | (big_p @ X1))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_10])).
% 1.31/0.86 thf('10', plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))) |
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl4])).
% 1.31/0.86 thf(pel38_14, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ a ) ) | ( big_r @ ( sk2 @ H1 ) @ ( sk1 @ H1 ) ) |
% 1.31/0.86 ( big_r @ G1 @ ( sk4 @ G1 ) ) | ( big_p @ H1 ) | ( big_p @ G1 ) ))).
% 1.31/0.86 thf(zf_stmt_11, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ a ) ) | ( big_r @ ( sk2 @ H1 ) @ ( sk1 @ H1 ) ) |
% 1.31/0.86 ( big_r @ G1 @ ( sk4 @ G1 ) ) | ( big_p @ H1 ) | ( big_p @ G1 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_14])).
% 1.31/0.86 thf(zip_derived_cl13, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ a)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.31/0.86 | (big_r @ X1 @ (sk4 @ X1))
% 1.31/0.86 | (big_p @ X0)
% 1.31/0.86 | (big_p @ X1))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_11])).
% 1.31/0.86 thf('11', plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl13])).
% 1.31/0.86 thf(zip_derived_cl240, plain,
% 1.31/0.86 ((~ (big_p @ (sk3 @ sk7))) <= (~ ( (big_p @ (sk3 @ sk7))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl237])).
% 1.31/0.86 thf(pel38_1, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ a ) ) | ( big_p @ ( sk3 @ A ) ) |
% 1.31/0.86 ( big_p @ ( sk1 @ B ) ) | ( big_p @ B ) | ( big_p @ A ) ))).
% 1.31/0.86 thf(zf_stmt_12, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ a ) ) | ( big_p @ ( sk3 @ A ) ) | ( big_p @ ( sk1 @ B ) ) |
% 1.31/0.86 ( big_p @ B ) | ( big_p @ A )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_1])).
% 1.31/0.86 thf(zip_derived_cl0, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ a)
% 1.31/0.86 | (big_p @ (sk3 @ X0))
% 1.31/0.86 | (big_p @ (sk1 @ X1))
% 1.31/0.86 | (big_p @ X1)
% 1.31/0.86 | (big_p @ X0))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_12])).
% 1.31/0.86 thf(zip_derived_cl47, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0)))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.31/0.86 thf(zip_derived_cl242, plain,
% 1.31/0.86 (( (big_p @ sk7))
% 1.31/0.86 <= (~ ( (big_p @ (sk3 @ sk7))) &
% 1.31/0.86 (![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0))))),
% 1.31/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl240, zip_derived_cl47])).
% 1.31/0.86 thf(pel38_38, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_p @ sk8 ) |
% 1.31/0.86 ( big_p @ sk10 ) ))).
% 1.31/0.86 thf(zf_stmt_13, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_p @ sk8 ) |
% 1.31/0.86 ( big_p @ sk10 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_38])).
% 1.31/0.86 thf(zip_derived_cl37, plain,
% 1.31/0.86 ((~ (big_p @ sk9) | ~ (big_p @ sk7) | (big_p @ sk8) | (big_p @ sk10))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_13])).
% 1.31/0.86 thf(zip_derived_cl156, plain, ((~ (big_p @ sk7)) <= (~ ( (big_p @ sk7)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.31/0.86 thf('12', plain,
% 1.31/0.86 (( (big_p @ (sk3 @ sk7))) | ( (big_p @ sk7)) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl242, zip_derived_cl156])).
% 1.31/0.86 thf(pel38_13, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ a ) ) | ( big_r @ ( sk2 @ F1 ) @ ( sk1 @ F1 ) ) |
% 1.31/0.86 ( big_p @ ( sk3 @ E1 ) ) | ( big_p @ F1 ) | ( big_p @ E1 ) ))).
% 1.31/0.86 thf(zf_stmt_14, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ a ) ) | ( big_r @ ( sk2 @ F1 ) @ ( sk1 @ F1 ) ) |
% 1.31/0.86 ( big_p @ ( sk3 @ E1 ) ) | ( big_p @ F1 ) | ( big_p @ E1 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_13])).
% 1.31/0.86 thf(zip_derived_cl12, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ a)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.31/0.86 | (big_p @ (sk3 @ X1))
% 1.31/0.86 | (big_p @ X0)
% 1.31/0.86 | (big_p @ X1))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_14])).
% 1.31/0.86 thf(zip_derived_cl83, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl12])).
% 1.31/0.86 thf(pel38_4, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ a ) ) | ( big_r @ H @ ( sk2 @ H ) ) |
% 1.31/0.86 ( big_p @ ( sk3 @ G ) ) | ( big_p @ H ) | ( big_p @ G ) ))).
% 1.31/0.86 thf(zf_stmt_15, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ a ) ) | ( big_r @ H @ ( sk2 @ H ) ) |
% 1.31/0.86 ( big_p @ ( sk3 @ G ) ) | ( big_p @ H ) | ( big_p @ G )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_4])).
% 1.31/0.86 thf(zip_derived_cl3, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ a)
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0))
% 1.31/0.86 | (big_p @ (sk3 @ X1))
% 1.31/0.86 | (big_p @ X0)
% 1.31/0.86 | (big_p @ X1))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 1.31/0.86 thf(zip_derived_cl56, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl3])).
% 1.31/0.86 thf(zip_derived_cl182, plain,
% 1.31/0.86 ((![X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_p @ X2) | ~ (big_r @ sk7 @ X1) | ~ (big_r @ X1 @ X2)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.31/0.86 thf(zip_derived_cl255, plain,
% 1.31/0.86 ((![X0 : $i]:
% 1.31/0.86 ( (big_p @ sk7) | ~ (big_p @ X0) | ~ (big_r @ (sk2 @ sk7) @ X0)))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))) &
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl182])).
% 1.31/0.86 thf(zip_derived_cl299, plain,
% 1.31/0.86 ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk2 @ sk7) @ X0)))
% 1.31/0.86 <= ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk2 @ sk7) @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl255])).
% 1.31/0.86 thf(zip_derived_cl466, plain,
% 1.31/0.86 ((( (big_p @ sk7) | ~ (big_p @ (sk1 @ sk7))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) &
% 1.31/0.86 (![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk2 @ sk7) @ X0))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl299])).
% 1.31/0.86 thf(zip_derived_cl474, plain,
% 1.31/0.86 ((~ (big_p @ (sk1 @ sk7))) <= (~ ( (big_p @ (sk1 @ sk7))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl466])).
% 1.31/0.86 thf(zip_derived_cl46, plain,
% 1.31/0.86 ((![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1)))
% 1.31/0.86 <= ((![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.31/0.86 thf(zip_derived_cl476, plain,
% 1.31/0.86 (( (big_p @ sk7))
% 1.31/0.86 <= (~ ( (big_p @ (sk1 @ sk7))) &
% 1.31/0.86 (![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1))))),
% 1.31/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl474, zip_derived_cl46])).
% 1.31/0.86 thf(zip_derived_cl156, plain, ((~ (big_p @ sk7)) <= (~ ( (big_p @ sk7)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.31/0.86 thf('13', plain,
% 1.31/0.86 (( (big_p @ (sk1 @ sk7))) | ( (big_p @ sk7)) |
% 1.31/0.86 ~ (![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl156])).
% 1.31/0.86 thf('14', plain,
% 1.31/0.86 ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk2 @ sk7) @ X0))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))) |
% 1.31/0.86 ( (big_p @ sk7))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl255])).
% 1.31/0.86 thf(pel38_44, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ sk7 @ J4 ) ) | ( ~( big_r @ J4 @ I4 ) ) |
% 1.31/0.86 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ I4 ) ) | ( big_p @ sk10 ) ))).
% 1.31/0.86 thf(zf_stmt_16, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ sk7 @ J4 ) ) | ( ~( big_r @ J4 @ I4 ) ) |
% 1.31/0.86 ( ~( big_p @ sk9 ) ) | ( ~( big_p @ I4 ) ) | ( big_p @ sk10 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_44])).
% 1.31/0.86 thf(zip_derived_cl43, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_r @ sk7 @ X0)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ sk9)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_p @ sk10))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_16])).
% 1.31/0.86 thf('15', plain,
% 1.31/0.86 (( (big_p @ sk10)) | ~ ( (big_p @ sk9)) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl43])).
% 1.31/0.86 thf(pel38_39, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk9 @ sk10 ) |
% 1.31/0.86 ( big_p @ sk8 ) ))).
% 1.31/0.86 thf(zf_stmt_17, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk9 @ sk10 ) |
% 1.31/0.86 ( big_p @ sk8 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_39])).
% 1.31/0.86 thf(zip_derived_cl38, plain,
% 1.31/0.86 ((~ (big_p @ sk9)
% 1.31/0.86 | ~ (big_p @ sk7)
% 1.31/0.86 | (big_r @ sk9 @ sk10)
% 1.31/0.86 | (big_p @ sk8))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_17])).
% 1.31/0.86 thf(zip_derived_cl158, plain,
% 1.31/0.86 (( (big_r @ sk9 @ sk10)) <= (( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.31/0.86 thf(pel38_7, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ N @ O ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ O ) ) |
% 1.31/0.86 ( big_p @ ( sk5 @ N ) ) | ( big_p @ ( sk1 @ M ) ) | ( big_p @ M ) ))).
% 1.31/0.86 thf(zf_stmt_18, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ N @ O ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ O ) ) |
% 1.31/0.86 ( big_p @ ( sk5 @ N ) ) | ( big_p @ ( sk1 @ M ) ) | ( big_p @ M )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_7])).
% 1.31/0.86 thf(zip_derived_cl6, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_p @ (sk5 @ X0))
% 1.31/0.86 | (big_p @ (sk1 @ X2))
% 1.31/0.86 | (big_p @ X2))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_18])).
% 1.31/0.86 thf(zip_derived_cl65, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl6])).
% 1.31/0.86 thf(zip_derived_cl277, plain,
% 1.31/0.86 (((~ (big_p @ sk10) | (big_p @ (sk5 @ sk9))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl65])).
% 1.31/0.86 thf('16', plain,
% 1.31/0.86 (( (big_p @ (sk5 @ sk9))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0)))) |
% 1.31/0.86 ~ ( (big_r @ sk9 @ sk10)) | ~ ( (big_p @ sk10))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl277])).
% 1.31/0.86 thf(zip_derived_cl158, plain,
% 1.31/0.86 (( (big_r @ sk9 @ sk10)) <= (( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.31/0.86 thf(pel38_8, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ Q @ R ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ R ) ) |
% 1.31/0.86 ( big_r @ Q @ ( sk6 @ Q ) ) | ( big_p @ ( sk1 @ P ) ) | ( big_p @ P ) ))).
% 1.31/0.86 thf(zf_stmt_19, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ Q @ R ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ R ) ) |
% 1.31/0.86 ( big_r @ Q @ ( sk6 @ Q ) ) | ( big_p @ ( sk1 @ P ) ) | ( big_p @ P )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_8])).
% 1.31/0.86 thf(zip_derived_cl7, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk6 @ X0))
% 1.31/0.86 | (big_p @ (sk1 @ X2))
% 1.31/0.86 | (big_p @ X2))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_19])).
% 1.31/0.86 thf(zip_derived_cl68, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk6 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl7])).
% 1.31/0.86 thf(zip_derived_cl332, plain,
% 1.31/0.86 (((~ (big_p @ sk10) | (big_r @ sk9 @ (sk6 @ sk9))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk6 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl68])).
% 1.31/0.86 thf('17', plain,
% 1.31/0.86 (( (big_r @ sk9 @ (sk6 @ sk9))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0)))) |
% 1.31/0.86 ~ ( (big_r @ sk9 @ sk10)) | ~ ( (big_p @ sk10))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl332])).
% 1.31/0.86 thf(zip_derived_cl158, plain,
% 1.31/0.86 (( (big_r @ sk9 @ sk10)) <= (( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.31/0.86 thf(pel38_9, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ T @ U ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ U ) ) |
% 1.31/0.86 ( big_r @ ( sk6 @ T ) @ ( sk5 @ T ) ) | ( big_p @ ( sk1 @ S ) ) |
% 1.31/0.86 ( big_p @ S ) ))).
% 1.31/0.86 thf(zf_stmt_20, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ T @ U ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ U ) ) |
% 1.31/0.86 ( big_r @ ( sk6 @ T ) @ ( sk5 @ T ) ) | ( big_p @ ( sk1 @ S ) ) |
% 1.31/0.86 ( big_p @ S )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_9])).
% 1.31/0.86 thf(zip_derived_cl8, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0))
% 1.31/0.86 | (big_p @ (sk1 @ X2))
% 1.31/0.86 | (big_p @ X2))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_20])).
% 1.31/0.86 thf(zip_derived_cl71, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl8])).
% 1.31/0.86 thf(zip_derived_cl352, plain,
% 1.31/0.86 (((~ (big_p @ sk10) | (big_r @ (sk6 @ sk9) @ (sk5 @ sk9))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl71])).
% 1.31/0.86 thf('18', plain,
% 1.31/0.86 (( (big_r @ (sk6 @ sk9) @ (sk5 @ sk9))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ sk10)) | ~ ( (big_r @ sk9 @ sk10))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl352])).
% 1.31/0.86 thf(zip_derived_cl491, plain,
% 1.31/0.86 (( (big_r @ (sk6 @ sk9) @ (sk5 @ sk9)))
% 1.31/0.86 <= (( (big_r @ (sk6 @ sk9) @ (sk5 @ sk9))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl352])).
% 1.31/0.86 thf(pel38_42, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ sk9 @ F4 ) ) | ( ~( big_r @ F4 @ E4 ) ) |
% 1.31/0.86 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ E4 ) ) | ( big_p @ sk8 ) ))).
% 1.31/0.86 thf(zf_stmt_21, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ sk9 @ F4 ) ) | ( ~( big_r @ F4 @ E4 ) ) |
% 1.31/0.86 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ E4 ) ) | ( big_p @ sk8 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_42])).
% 1.31/0.86 thf(zip_derived_cl41, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_r @ sk9 @ X0)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ sk7)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_p @ sk8))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_21])).
% 1.31/0.86 thf(zip_derived_cl170, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl41])).
% 1.31/0.86 thf(zip_derived_cl499, plain,
% 1.31/0.86 (((~ (big_p @ (sk5 @ sk9)) | ~ (big_r @ sk9 @ (sk6 @ sk9))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) &
% 1.31/0.86 ( (big_r @ (sk6 @ sk9) @ (sk5 @ sk9))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl170])).
% 1.31/0.86 thf('19', plain,
% 1.31/0.86 (~ ( (big_p @ (sk5 @ sk9))) | ~ ( (big_r @ (sk6 @ sk9) @ (sk5 @ sk9))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.31/0.86 ~ ( (big_r @ sk9 @ (sk6 @ sk9)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl499])).
% 1.31/0.86 thf(pel38_40, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.31/0.86 ( big_p @ sk10 ) ))).
% 1.31/0.86 thf(zf_stmt_22, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk7 @ sk8 ) |
% 1.31/0.86 ( big_p @ sk10 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_40])).
% 1.31/0.86 thf(zip_derived_cl39, plain,
% 1.31/0.86 ((~ (big_p @ sk9)
% 1.31/0.86 | ~ (big_p @ sk7)
% 1.31/0.86 | (big_r @ sk7 @ sk8)
% 1.31/0.86 | (big_p @ sk10))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_22])).
% 1.31/0.86 thf(zip_derived_cl162, plain,
% 1.31/0.86 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.31/0.86 thf(zip_derived_cl68, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk6 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl7])).
% 1.31/0.86 thf(zip_derived_cl331, plain,
% 1.31/0.86 (((~ (big_p @ sk8) | (big_r @ sk7 @ (sk6 @ sk7))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk6 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl68])).
% 1.31/0.86 thf('20', plain,
% 1.31/0.86 (~ ( (big_p @ sk8)) | ~ ( (big_r @ sk7 @ sk8)) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0)))) |
% 1.31/0.86 ( (big_r @ sk7 @ (sk6 @ sk7)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl331])).
% 1.31/0.86 thf(zip_derived_cl162, plain,
% 1.31/0.86 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.31/0.86 thf(zip_derived_cl71, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl8])).
% 1.31/0.86 thf(zip_derived_cl351, plain,
% 1.31/0.86 (((~ (big_p @ sk8) | (big_r @ (sk6 @ sk7) @ (sk5 @ sk7))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl71])).
% 1.31/0.86 thf('21', plain,
% 1.31/0.86 (( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7))) | ~ ( (big_r @ sk7 @ sk8)) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk6 @ X0) @ (sk5 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ sk8))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl351])).
% 1.31/0.86 thf(zip_derived_cl162, plain,
% 1.31/0.86 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.31/0.86 thf(zip_derived_cl65, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl6])).
% 1.31/0.86 thf(zip_derived_cl276, plain,
% 1.31/0.86 (((~ (big_p @ sk8) | (big_p @ (sk5 @ sk7))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl65])).
% 1.31/0.86 thf('22', plain,
% 1.31/0.86 (( (big_p @ (sk5 @ sk7))) | ~ ( (big_r @ sk7 @ sk8)) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk5 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ sk8))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl276])).
% 1.31/0.86 thf(zip_derived_cl447, plain,
% 1.31/0.86 (( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7)))
% 1.31/0.86 <= (( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl351])).
% 1.31/0.86 thf(zip_derived_cl334, plain,
% 1.31/0.86 (( (big_r @ sk7 @ (sk6 @ sk7))) <= (( (big_r @ sk7 @ (sk6 @ sk7))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl331])).
% 1.31/0.86 thf(zip_derived_cl182, plain,
% 1.31/0.86 ((![X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_p @ X2) | ~ (big_r @ sk7 @ X1) | ~ (big_r @ X1 @ X2)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.31/0.86 thf(zip_derived_cl340, plain,
% 1.31/0.86 ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk6 @ sk7) @ X0)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))) &
% 1.31/0.86 ( (big_r @ sk7 @ (sk6 @ sk7))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl182])).
% 1.31/0.86 thf(zip_derived_cl456, plain,
% 1.31/0.86 ((~ (big_p @ (sk5 @ sk7)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))) &
% 1.31/0.86 ( (big_r @ sk7 @ (sk6 @ sk7))) &
% 1.31/0.86 ( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl340])).
% 1.31/0.86 thf(zip_derived_cl291, plain,
% 1.31/0.86 (( (big_p @ (sk5 @ sk7))) <= (( (big_p @ (sk5 @ sk7))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl276])).
% 1.31/0.86 thf('23', plain,
% 1.31/0.86 (~ ( (big_r @ sk7 @ (sk6 @ sk7))) | ~ ( (big_p @ (sk5 @ sk7))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))) |
% 1.31/0.86 ~ ( (big_r @ (sk6 @ sk7) @ (sk5 @ sk7)))),
% 1.31/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl456, zip_derived_cl291])).
% 1.31/0.86 thf('24', plain,
% 1.31/0.86 (( (big_r @ sk7 @ sk8)) | ( (big_p @ sk10)) | ~ ( (big_p @ sk9)) |
% 1.31/0.86 ~ ( (big_p @ sk7))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.31/0.86 thf('25', plain,
% 1.31/0.86 (( (big_p @ sk8)) | ( (big_p @ sk10)) | ~ ( (big_p @ sk9)) |
% 1.31/0.86 ~ ( (big_p @ sk7))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.31/0.86 thf('26', plain,
% 1.31/0.86 (( (big_p @ sk8)) | ( (big_r @ sk9 @ sk10)) | ~ ( (big_p @ sk9)) |
% 1.31/0.86 ~ ( (big_p @ sk7))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.31/0.86 thf(pel38_41, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk9 @ sk10 ) |
% 1.31/0.86 ( big_r @ sk7 @ sk8 ) ))).
% 1.31/0.86 thf(zf_stmt_23, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ sk9 ) ) | ( ~( big_p @ sk7 ) ) | ( big_r @ sk9 @ sk10 ) |
% 1.31/0.86 ( big_r @ sk7 @ sk8 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_41])).
% 1.31/0.86 thf(zip_derived_cl40, plain,
% 1.31/0.86 ((~ (big_p @ sk9)
% 1.31/0.86 | ~ (big_p @ sk7)
% 1.31/0.86 | (big_r @ sk9 @ sk10)
% 1.31/0.86 | (big_r @ sk7 @ sk8))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_23])).
% 1.31/0.86 thf('27', plain,
% 1.31/0.86 (( (big_r @ sk7 @ sk8)) | ( (big_r @ sk9 @ sk10)) | ~ ( (big_p @ sk9)) |
% 1.31/0.86 ~ ( (big_p @ sk7))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl40])).
% 1.31/0.86 thf(zip_derived_cl162, plain,
% 1.31/0.86 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.31/0.86 thf(pel38_17, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ O1 @ P1 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ P1 ) ) |
% 1.31/0.86 ( big_r @ O1 @ ( sk2 @ O1 ) ) | ( big_p @ ( sk3 @ N1 ) ) |
% 1.31/0.86 ( big_p @ N1 ) ))).
% 1.31/0.86 thf(zf_stmt_24, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ O1 @ P1 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ P1 ) ) |
% 1.31/0.86 ( big_r @ O1 @ ( sk2 @ O1 ) ) | ( big_p @ ( sk3 @ N1 ) ) | ( big_p @ N1 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_17])).
% 1.31/0.86 thf(zip_derived_cl16, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0))
% 1.31/0.86 | (big_p @ (sk3 @ X2))
% 1.31/0.86 | (big_p @ X2))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_24])).
% 1.31/0.86 thf(zip_derived_cl95, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0)) | ~ (big_r @ X0 @ X1)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0))
% 1.31/0.86 | ~ (big_r @ X0 @ X1))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl16])).
% 1.31/0.86 thf(zip_derived_cl361, plain,
% 1.31/0.86 (((~ (big_p @ sk8) | (big_r @ sk7 @ (sk2 @ sk7))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0))
% 1.31/0.86 | ~ (big_r @ X0 @ X1))) &
% 1.31/0.86 ( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl95])).
% 1.31/0.86 thf('28', plain,
% 1.31/0.86 (( (big_r @ sk7 @ (sk2 @ sk7))) | ~ ( (big_r @ sk7 @ sk8)) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 1.31/0.86 ~ ( (big_p @ sk8))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl361])).
% 1.31/0.86 thf(zip_derived_cl162, plain,
% 1.31/0.86 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.31/0.86 thf(pel38_20, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ X1 @ Y1 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ Y1 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ X1 ) @ ( sk1 @ X1 ) ) | ( big_p @ ( sk3 @ W1 ) ) |
% 1.31/0.86 ( big_p @ W1 ) ))).
% 1.31/0.86 thf(zf_stmt_25, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ X1 @ Y1 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ Y1 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ X1 ) @ ( sk1 @ X1 ) ) | ( big_p @ ( sk3 @ W1 ) ) |
% 1.31/0.86 ( big_p @ W1 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_20])).
% 1.31/0.86 thf(zip_derived_cl19, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.31/0.86 | (big_p @ (sk3 @ X2))
% 1.31/0.86 | (big_p @ X2))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_25])).
% 1.31/0.86 thf(zip_derived_cl104, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl19])).
% 1.31/0.86 thf(zip_derived_cl441, plain,
% 1.31/0.86 (((~ (big_p @ sk8) | (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl104])).
% 1.31/0.86 thf('29', plain,
% 1.31/0.86 (( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))) | ~ ( (big_p @ sk8)) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.31/0.86 ~ ( (big_r @ sk7 @ sk8))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl441])).
% 1.31/0.86 thf(zip_derived_cl162, plain,
% 1.31/0.86 (( (big_r @ sk7 @ sk8)) <= (( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl39])).
% 1.31/0.86 thf(pel38_16, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ L1 @ M1 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ M1 ) ) |
% 1.31/0.86 ( big_p @ ( sk3 @ K1 ) ) | ( big_p @ ( sk1 @ L1 ) ) | ( big_p @ K1 ) ))).
% 1.31/0.86 thf(zf_stmt_26, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ L1 @ M1 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ M1 ) ) |
% 1.31/0.86 ( big_p @ ( sk3 @ K1 ) ) | ( big_p @ ( sk1 @ L1 ) ) | ( big_p @ K1 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_16])).
% 1.31/0.86 thf(zip_derived_cl15, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_p @ (sk3 @ X2))
% 1.31/0.86 | (big_p @ (sk1 @ X0))
% 1.31/0.86 | (big_p @ X2))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_26])).
% 1.31/0.86 thf(zip_derived_cl92, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl15])).
% 1.31/0.86 thf(zip_derived_cl281, plain,
% 1.31/0.86 (((~ (big_p @ sk8) | (big_p @ (sk1 @ sk7))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk7 @ sk8)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl92])).
% 1.31/0.86 thf('30', plain,
% 1.31/0.86 (( (big_p @ (sk1 @ sk7))) | ~ ( (big_p @ sk8)) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0)))) |
% 1.31/0.86 ~ ( (big_r @ sk7 @ sk8))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl281])).
% 1.31/0.86 thf(pel38_43, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ sk9 @ H4 ) ) | ( ~( big_r @ H4 @ G4 ) ) |
% 1.31/0.86 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ G4 ) ) | ( big_r @ sk7 @ sk8 ) ))).
% 1.31/0.86 thf(zf_stmt_27, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ sk9 @ H4 ) ) | ( ~( big_r @ H4 @ G4 ) ) |
% 1.31/0.86 ( ~( big_p @ sk7 ) ) | ( ~( big_p @ G4 ) ) | ( big_r @ sk7 @ sk8 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_43])).
% 1.31/0.86 thf(zip_derived_cl42, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_r @ sk9 @ X0)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ sk7)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_r @ sk7 @ sk8))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_27])).
% 1.31/0.86 thf('31', plain,
% 1.31/0.86 (( (big_r @ sk7 @ sk8)) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.31/0.86 ~ ( (big_p @ sk7))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl42])).
% 1.31/0.86 thf('32', plain,
% 1.31/0.86 (( (big_p @ sk8)) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.31/0.86 ~ ( (big_p @ sk7))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl41])).
% 1.31/0.86 thf(zip_derived_cl510, plain,
% 1.31/0.86 (( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7)))
% 1.31/0.86 <= (( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl441])).
% 1.31/0.86 thf(zip_derived_cl387, plain,
% 1.31/0.86 (( (big_r @ sk7 @ (sk2 @ sk7))) <= (( (big_r @ sk7 @ (sk2 @ sk7))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl361])).
% 1.31/0.86 thf(zip_derived_cl182, plain,
% 1.31/0.86 ((![X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_p @ X2) | ~ (big_r @ sk7 @ X1) | ~ (big_r @ X1 @ X2)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl45])).
% 1.31/0.86 thf(zip_derived_cl395, plain,
% 1.31/0.86 ((![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk2 @ sk7) @ X0)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))) &
% 1.31/0.86 ( (big_r @ sk7 @ (sk2 @ sk7))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl182])).
% 1.31/0.86 thf(zip_derived_cl520, plain,
% 1.31/0.86 ((~ (big_p @ (sk1 @ sk7)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))) &
% 1.31/0.86 ( (big_r @ sk7 @ (sk2 @ sk7))) &
% 1.31/0.86 ( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl510, zip_derived_cl395])).
% 1.31/0.86 thf(zip_derived_cl295, plain,
% 1.31/0.86 (( (big_p @ (sk1 @ sk7))) <= (( (big_p @ (sk1 @ sk7))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl281])).
% 1.31/0.86 thf('33', plain,
% 1.31/0.86 (~ ( (big_r @ sk7 @ (sk2 @ sk7))) |
% 1.31/0.86 ~ ( (big_r @ (sk2 @ sk7) @ (sk1 @ sk7))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk7 @ X0))) |
% 1.31/0.86 ~ ( (big_p @ (sk1 @ sk7)))),
% 1.31/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl520, zip_derived_cl295])).
% 1.31/0.86 thf(pel38_11, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ Z @ A1 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ A1 ) ) |
% 1.31/0.86 ( big_r @ Y @ ( sk2 @ Y ) ) | ( big_r @ Z @ ( sk6 @ Z ) ) |
% 1.31/0.86 ( big_p @ Y ) ))).
% 1.31/0.86 thf(zf_stmt_28, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ Z @ A1 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ A1 ) ) |
% 1.31/0.86 ( big_r @ Y @ ( sk2 @ Y ) ) | ( big_r @ Z @ ( sk6 @ Z ) ) | ( big_p @ Y )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_11])).
% 1.31/0.86 thf(zip_derived_cl10, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_r @ X2 @ (sk2 @ X2))
% 1.31/0.86 | (big_r @ X0 @ (sk6 @ X0))
% 1.31/0.86 | (big_p @ X2))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_28])).
% 1.31/0.86 thf('34', plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl10])).
% 1.31/0.86 thf('35', plain,
% 1.31/0.86 ((![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl7])).
% 1.31/0.86 thf(pel38_26, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ P2 @ Q2 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ Q2 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ O2 ) @ ( sk1 @ O2 ) ) |
% 1.31/0.86 ( big_r @ P2 @ ( sk6 @ P2 ) ) | ( big_p @ O2 ) ))).
% 1.31/0.86 thf(zf_stmt_29, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ P2 @ Q2 ) ) | ( ~( big_p @ a ) ) | ( ~( big_p @ Q2 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ O2 ) @ ( sk1 @ O2 ) ) | ( big_r @ P2 @ ( sk6 @ P2 ) ) |
% 1.31/0.86 ( big_p @ O2 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_26])).
% 1.31/0.86 thf(zip_derived_cl25, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X2) @ (sk1 @ X2))
% 1.31/0.86 | (big_r @ X0 @ (sk6 @ X0))
% 1.31/0.86 | (big_p @ X2))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_29])).
% 1.31/0.86 thf('36', plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl25])).
% 1.31/0.86 thf(pel38_30, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ C3 @ F3 ) ) | ( ~( big_r @ D3 @ E3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ F3 ) ) | ( ~( big_p @ E3 ) ) |
% 1.31/0.86 ( big_r @ D3 @ ( sk6 @ D3 ) ) | ( big_p @ ( sk1 @ C3 ) ) ))).
% 1.31/0.86 thf(zf_stmt_30, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ C3 @ F3 ) ) | ( ~( big_r @ D3 @ E3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ F3 ) ) | ( ~( big_p @ E3 ) ) |
% 1.31/0.86 ( big_r @ D3 @ ( sk6 @ D3 ) ) | ( big_p @ ( sk1 @ C3 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_30])).
% 1.31/0.86 thf(zip_derived_cl29, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_r @ X2 @ X3)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | ~ (big_p @ X3)
% 1.31/0.86 | (big_r @ X2 @ (sk6 @ X2))
% 1.31/0.86 | (big_p @ (sk1 @ X0)))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_30])).
% 1.31/0.86 thf('37', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl29])).
% 1.31/0.86 thf(pel38_31, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ H3 @ J3 ) ) | ( ~( big_r @ G3 @ I3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ J3 ) ) | ( ~( big_p @ I3 ) ) |
% 1.31/0.86 ( big_r @ H3 @ ( sk2 @ H3 ) ) | ( big_r @ G3 @ ( sk6 @ G3 ) ) ))).
% 1.31/0.86 thf(zf_stmt_31, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ H3 @ J3 ) ) | ( ~( big_r @ G3 @ I3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ J3 ) ) | ( ~( big_p @ I3 ) ) |
% 1.31/0.86 ( big_r @ H3 @ ( sk2 @ H3 ) ) | ( big_r @ G3 @ ( sk6 @ G3 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_31])).
% 1.31/0.86 thf(zip_derived_cl30, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_r @ X2 @ X3)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | ~ (big_p @ X3)
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0))
% 1.31/0.86 | (big_r @ X2 @ (sk6 @ X2)))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_31])).
% 1.31/0.86 thf('38', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl30])).
% 1.31/0.86 thf(pel38_33, conjecture,
% 1.31/0.86 (~( ( ~( big_r @ P3 @ R3 ) ) | ( ~( big_r @ O3 @ Q3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ R3 ) ) | ( ~( big_p @ Q3 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ P3 ) @ ( sk1 @ P3 ) ) | ( big_r @ O3 @ ( sk6 @ O3 ) ) ))).
% 1.31/0.86 thf(zf_stmt_32, negated_conjecture,
% 1.31/0.86 (( ~( big_r @ P3 @ R3 ) ) | ( ~( big_r @ O3 @ Q3 ) ) |
% 1.31/0.86 ( ~( big_p @ a ) ) | ( ~( big_p @ R3 ) ) | ( ~( big_p @ Q3 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ P3 ) @ ( sk1 @ P3 ) ) | ( big_r @ O3 @ ( sk6 @ O3 ) )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_33])).
% 1.31/0.86 thf(zip_derived_cl32, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.31/0.86 (~ (big_r @ X0 @ X1)
% 1.31/0.86 | ~ (big_r @ X2 @ X3)
% 1.31/0.86 | ~ (big_p @ a)
% 1.31/0.86 | ~ (big_p @ X1)
% 1.31/0.86 | ~ (big_p @ X3)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))
% 1.31/0.86 | (big_r @ X2 @ (sk6 @ X2)))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_32])).
% 1.31/0.86 thf('39', plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (sk6 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl32])).
% 1.31/0.86 thf('40', plain,
% 1.31/0.86 (~ ( (big_p @ (sk1 @ sk7))) |
% 1.31/0.86 ~ (![X0 : $i]: (~ (big_p @ X0) | ~ (big_r @ (sk2 @ sk7) @ X0))) |
% 1.31/0.86 ( (big_p @ sk7)) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl466])).
% 1.31/0.86 thf(zip_derived_cl158, plain,
% 1.31/0.86 (( (big_r @ sk9 @ sk10)) <= (( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.31/0.86 thf(zip_derived_cl95, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0)) | ~ (big_r @ X0 @ X1)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0))
% 1.31/0.86 | ~ (big_r @ X0 @ X1))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl16])).
% 1.31/0.86 thf(zip_derived_cl362, plain,
% 1.31/0.86 (((~ (big_p @ sk10) | (big_r @ sk9 @ (sk2 @ sk9))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | (big_r @ X0 @ (sk2 @ X0))
% 1.31/0.86 | ~ (big_r @ X0 @ X1))) &
% 1.31/0.86 ( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl95])).
% 1.31/0.86 thf('41', plain,
% 1.31/0.86 (( (big_r @ sk9 @ (sk2 @ sk9))) | ~ ( (big_p @ sk10)) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | (big_r @ X0 @ (sk2 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 1.31/0.86 ~ ( (big_r @ sk9 @ sk10))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl362])).
% 1.31/0.86 thf(zip_derived_cl158, plain,
% 1.31/0.86 (( (big_r @ sk9 @ sk10)) <= (( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.31/0.86 thf(zip_derived_cl92, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl15])).
% 1.31/0.86 thf(zip_derived_cl282, plain,
% 1.31/0.86 (((~ (big_p @ sk10) | (big_p @ (sk1 @ sk9))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl92])).
% 1.31/0.86 thf('42', plain,
% 1.31/0.86 (( (big_p @ (sk1 @ sk9))) | ~ ( (big_p @ sk10)) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_p @ (sk1 @ X0)))) |
% 1.31/0.86 ~ ( (big_r @ sk9 @ sk10))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl282])).
% 1.31/0.86 thf(zip_derived_cl158, plain,
% 1.31/0.86 (( (big_r @ sk9 @ sk10)) <= (( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl38])).
% 1.31/0.86 thf(zip_derived_cl104, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl19])).
% 1.31/0.86 thf(zip_derived_cl444, plain,
% 1.31/0.86 (((~ (big_p @ sk10) | (big_r @ (sk2 @ sk9) @ (sk1 @ sk9))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) &
% 1.31/0.86 ( (big_r @ sk9 @ sk10)))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl104])).
% 1.31/0.86 thf('43', plain,
% 1.31/0.86 (( (big_r @ (sk2 @ sk9) @ (sk1 @ sk9))) | ~ ( (big_p @ sk10)) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1)
% 1.31/0.86 | ~ (big_r @ X0 @ X1)
% 1.31/0.86 | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.31/0.86 ~ ( (big_r @ sk9 @ sk10))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl444])).
% 1.31/0.86 thf(zip_derived_cl639, plain,
% 1.31/0.86 (( (big_r @ (sk2 @ sk9) @ (sk1 @ sk9)))
% 1.31/0.86 <= (( (big_r @ (sk2 @ sk9) @ (sk1 @ sk9))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl444])).
% 1.31/0.86 thf(zip_derived_cl170, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl41])).
% 1.31/0.86 thf(zip_derived_cl647, plain,
% 1.31/0.86 (((~ (big_p @ (sk1 @ sk9)) | ~ (big_r @ sk9 @ (sk2 @ sk9))))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) &
% 1.31/0.86 ( (big_r @ (sk2 @ sk9) @ (sk1 @ sk9))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl639, zip_derived_cl170])).
% 1.31/0.86 thf('44', plain,
% 1.31/0.86 (~ ( (big_p @ (sk1 @ sk9))) | ~ ( (big_r @ (sk2 @ sk9) @ (sk1 @ sk9))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.31/0.86 ~ ( (big_r @ sk9 @ (sk2 @ sk9)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl647])).
% 1.31/0.86 thf(pel38_15, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ a ) ) | ( big_r @ ( sk4 @ I1 ) @ ( sk3 @ I1 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ J1 ) @ ( sk1 @ J1 ) ) | ( big_p @ J1 ) |
% 1.31/0.86 ( big_p @ I1 ) ))).
% 1.31/0.86 thf(zf_stmt_33, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ a ) ) | ( big_r @ ( sk4 @ I1 ) @ ( sk3 @ I1 ) ) |
% 1.31/0.86 ( big_r @ ( sk2 @ J1 ) @ ( sk1 @ J1 ) ) | ( big_p @ J1 ) | ( big_p @ I1 )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_15])).
% 1.31/0.86 thf(zip_derived_cl14, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ a)
% 1.31/0.86 | (big_r @ (sk4 @ X0) @ (sk3 @ X0))
% 1.31/0.86 | (big_r @ (sk2 @ X1) @ (sk1 @ X1))
% 1.31/0.86 | (big_p @ X1)
% 1.31/0.86 | (big_p @ X0))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_33])).
% 1.31/0.86 thf('45', plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl14])).
% 1.31/0.86 thf('46', plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0))) |
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl12])).
% 1.31/0.86 thf('47', plain,
% 1.31/0.86 ((![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1))) |
% 1.31/0.86 (![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0))) | ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.31/0.86 thf('48', plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))) |
% 1.31/0.86 (![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0))) | ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl3])).
% 1.31/0.86 thf(zip_derived_cl648, plain,
% 1.31/0.86 ((~ (big_r @ sk9 @ (sk2 @ sk9))) <= (~ ( (big_r @ sk9 @ (sk2 @ sk9))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl647])).
% 1.31/0.86 thf(zip_derived_cl56, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl3])).
% 1.31/0.86 thf(zip_derived_cl650, plain,
% 1.31/0.86 (( (big_p @ sk9))
% 1.31/0.86 <= (~ ( (big_r @ sk9 @ (sk2 @ sk9))) &
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))))),
% 1.31/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl648, zip_derived_cl56])).
% 1.31/0.86 thf(zip_derived_cl157, plain, ((~ (big_p @ sk9)) <= (~ ( (big_p @ sk9)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.31/0.86 thf('49', plain,
% 1.31/0.86 (( (big_r @ sk9 @ (sk2 @ sk9))) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))) |
% 1.31/0.86 ( (big_p @ sk9))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl650, zip_derived_cl157])).
% 1.31/0.86 thf('50', plain,
% 1.31/0.86 ((![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1))) |
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl2])).
% 1.31/0.86 thf(pel38_6, conjecture,
% 1.31/0.86 (~( ( ~( big_p @ a ) ) | ( big_r @ ( sk4 @ K ) @ ( sk3 @ K ) ) |
% 1.31/0.86 ( big_r @ L @ ( sk2 @ L ) ) | ( big_p @ L ) | ( big_p @ K ) ))).
% 1.31/0.86 thf(zf_stmt_34, negated_conjecture,
% 1.31/0.86 (( ~( big_p @ a ) ) | ( big_r @ ( sk4 @ K ) @ ( sk3 @ K ) ) |
% 1.31/0.86 ( big_r @ L @ ( sk2 @ L ) ) | ( big_p @ L ) | ( big_p @ K )),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_6])).
% 1.31/0.86 thf(zip_derived_cl5, plain,
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ a)
% 1.31/0.86 | (big_r @ (sk4 @ X0) @ (sk3 @ X0))
% 1.31/0.86 | (big_r @ X1 @ (sk2 @ X1))
% 1.31/0.86 | (big_p @ X1)
% 1.31/0.86 | (big_p @ X0))),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_34])).
% 1.31/0.86 thf('51', plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk2 @ X0)))) |
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl5])).
% 1.31/0.86 thf(zip_derived_cl48, plain, ((~ (big_p @ a)) <= (~ ( (big_p @ a)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.31/0.86 thf(pel38_37, conjecture, (~( big_p @ a ))).
% 1.31/0.86 thf(zf_stmt_35, negated_conjecture, (big_p @ a),
% 1.31/0.86 inference('cnf.neg', [status(esa)], [pel38_37])).
% 1.31/0.86 thf(zip_derived_cl36, plain, ( (big_p @ a)),
% 1.31/0.86 inference('cnf', [status(esa)], [zf_stmt_35])).
% 1.31/0.86 thf('52', plain, (( (big_p @ a))),
% 1.31/0.86 inference('demod', [status(thm)], [zip_derived_cl48, zip_derived_cl36])).
% 1.31/0.86 thf(zip_derived_cl50, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl1])).
% 1.31/0.86 thf(zip_derived_cl53, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl2])).
% 1.31/0.86 thf(zip_derived_cl170, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl41])).
% 1.31/0.86 thf(zip_derived_cl225, plain,
% 1.31/0.86 ((![X0 : $i]:
% 1.31/0.86 ( (big_p @ X0)
% 1.31/0.86 | ~ (big_p @ (sk3 @ X0))
% 1.31/0.86 | ~ (big_r @ sk9 @ (sk4 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))) &
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl170])).
% 1.31/0.86 thf(zip_derived_cl317, plain,
% 1.31/0.86 ((( (big_p @ sk9) | (big_p @ sk9) | ~ (big_p @ (sk3 @ sk9))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))) &
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))) &
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl225])).
% 1.31/0.86 thf(zip_derived_cl318, plain,
% 1.31/0.86 (((~ (big_p @ (sk3 @ sk9)) | (big_p @ sk9)))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))) &
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0)))) &
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.31/0.86 inference('simplify', [status(thm)], [zip_derived_cl317])).
% 1.31/0.86 thf(zip_derived_cl320, plain,
% 1.31/0.86 ((~ (big_p @ (sk3 @ sk9))) <= (~ ( (big_p @ (sk3 @ sk9))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl318])).
% 1.31/0.86 thf(zip_derived_cl47, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0)))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.31/0.86 thf(zip_derived_cl322, plain,
% 1.31/0.86 (( (big_p @ sk9))
% 1.31/0.86 <= (~ ( (big_p @ (sk3 @ sk9))) &
% 1.31/0.86 (![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0))))),
% 1.31/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl320, zip_derived_cl47])).
% 1.31/0.86 thf(zip_derived_cl157, plain, ((~ (big_p @ sk9)) <= (~ ( (big_p @ sk9)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.31/0.86 thf('53', plain,
% 1.31/0.86 (( (big_p @ (sk3 @ sk9))) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ (sk3 @ X0)) | (big_p @ X0))) |
% 1.31/0.86 ( (big_p @ sk9))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl322, zip_derived_cl157])).
% 1.31/0.86 thf('54', plain,
% 1.31/0.86 (~ ( (big_p @ (sk3 @ sk9))) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.31/0.86 ( (big_p @ sk9)) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk4 @ X0) @ (sk3 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl318])).
% 1.31/0.86 thf('55', plain,
% 1.31/0.86 ((![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1))) |
% 1.31/0.86 (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (sk4 @ X0)))) |
% 1.31/0.86 ~ ( (big_p @ a))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl1])).
% 1.31/0.86 thf(zip_derived_cl83, plain,
% 1.31/0.86 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl12])).
% 1.31/0.86 thf(zip_derived_cl170, plain,
% 1.31/0.86 ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0)))
% 1.31/0.86 <= ((![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl41])).
% 1.31/0.86 thf(zip_derived_cl465, plain,
% 1.31/0.86 ((![X0 : $i]:
% 1.31/0.86 ( (big_p @ X0)
% 1.31/0.86 | ~ (big_p @ (sk1 @ X0))
% 1.31/0.86 | ~ (big_r @ sk9 @ (sk2 @ X0))))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) &
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl170])).
% 1.31/0.86 thf(zip_derived_cl416, plain,
% 1.31/0.86 (( (big_r @ sk9 @ (sk2 @ sk9))) <= (( (big_r @ sk9 @ (sk2 @ sk9))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl362])).
% 1.31/0.86 thf(zip_derived_cl532, plain,
% 1.31/0.86 (((~ (big_p @ (sk1 @ sk9)) | (big_p @ sk9)))
% 1.31/0.86 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0)))) &
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) &
% 1.31/0.86 ( (big_r @ sk9 @ (sk2 @ sk9))))),
% 1.31/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl465, zip_derived_cl416])).
% 1.31/0.86 thf(zip_derived_cl620, plain,
% 1.31/0.86 ((~ (big_p @ (sk1 @ sk9))) <= (~ ( (big_p @ (sk1 @ sk9))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl532])).
% 1.31/0.86 thf(zip_derived_cl46, plain,
% 1.31/0.86 ((![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1)))
% 1.31/0.86 <= ((![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl0])).
% 1.31/0.86 thf(zip_derived_cl622, plain,
% 1.31/0.86 (( (big_p @ sk9))
% 1.31/0.86 <= (~ ( (big_p @ (sk1 @ sk9))) &
% 1.31/0.86 (![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1))))),
% 1.31/0.86 inference('s_sup+', [status(thm)], [zip_derived_cl620, zip_derived_cl46])).
% 1.31/0.86 thf(zip_derived_cl157, plain, ((~ (big_p @ sk9)) <= (~ ( (big_p @ sk9)))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl37])).
% 1.31/0.86 thf('56', plain,
% 1.31/0.86 (( (big_p @ (sk1 @ sk9))) |
% 1.31/0.86 ~ (![X1 : $i]: ( (big_p @ (sk1 @ X1)) | (big_p @ X1))) |
% 1.31/0.86 ( (big_p @ sk9))),
% 1.31/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl622, zip_derived_cl157])).
% 1.31/0.86 thf('57', plain,
% 1.31/0.86 (~ ( (big_p @ (sk1 @ sk9))) | ~ ( (big_r @ sk9 @ (sk2 @ sk9))) |
% 1.31/0.86 ~
% 1.31/0.86 (![X0 : $i, X1 : $i]:
% 1.31/0.86 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ sk9 @ X0))) |
% 1.31/0.86 ( (big_p @ sk9)) |
% 1.31/0.86 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ (sk2 @ X0) @ (sk1 @ X0))))),
% 1.31/0.86 inference('split', [status(esa)], [zip_derived_cl532])).
% 1.31/0.86 thf(zip_derived_cl677, plain, ($false),
% 1.31/0.86 inference('sat_resolution*', [status(thm)],
% 1.31/0.86 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.31/0.86 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 1.31/0.86 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 1.31/0.86 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 1.31/0.86 '42', '43', '44', '45', '46', '47', '48', '49', '50', '51',
% 1.31/0.86 '52', '53', '54', '55', '56', '57'])).
% 1.31/0.86
% 1.31/0.86 % SZS output end Refutation
% 1.31/0.86
% 1.31/0.86
% 1.31/0.86 % Terminating...
% 1.43/0.95 % Runner terminated.
% 1.43/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------