TSTP Solution File: SYN067-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HbUbajYtL4 true
% Computer : n012.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 04:01:30 EDT 2023
% Result : Unsatisfiable 0.93s 1.11s
% Output : Refutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HbUbajYtL4 true
% 0.15/0.34 % Computer : n012.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat Aug 26 18:21:25 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.35 % Python version: Python 3.6.8
% 0.15/0.35 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.65/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.65/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.93/1.11 % Solved by fo/fo1_av.sh.
% 0.93/1.11 % done 554 iterations in 0.327s
% 0.93/1.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.93/1.11 % SZS output start Refutation
% 0.93/1.11 thf(a_type, type, a: $i).
% 0.93/1.11 thf(f1_type, type, f1: $i > $i).
% 0.93/1.11 thf(f5_type, type, f5: $i > $i).
% 0.93/1.11 thf(big_p_type, type, big_p: $i > $o).
% 0.93/1.11 thf(f2_type, type, f2: $i > $i).
% 0.93/1.11 thf(c1_type, type, c1: $i).
% 0.93/1.11 thf(c3_type, type, c3: $i).
% 0.93/1.11 thf(big_r_type, type, big_r: $i > $i > $o).
% 0.93/1.11 thf(f6_type, type, f6: $i > $i).
% 0.93/1.11 thf(f3_type, type, f3: $i > $i).
% 0.93/1.11 thf(f4_type, type, f4: $i > $i).
% 0.93/1.11 thf(c2_type, type, c2: $i).
% 0.93/1.11 thf(c4_type, type, c4: $i).
% 0.93/1.11 thf(clause_78, conjecture,
% 0.93/1.11 (~( ( big_p @ c3 ) | ( ~( big_p @ c4 ) ) | ( ~( big_r @ X10 @ X9 ) ) |
% 0.93/1.11 ( ~( big_r @ c2 @ X10 ) ) | ( ~( big_p @ X9 ) ) ))).
% 0.93/1.11 thf(zf_stmt_0, negated_conjecture,
% 0.93/1.11 (( big_p @ c3 ) | ( ~( big_p @ c4 ) ) | ( ~( big_r @ X10 @ X9 ) ) |
% 0.93/1.11 ( ~( big_r @ c2 @ X10 ) ) | ( ~( big_p @ X9 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_78])).
% 0.93/1.11 thf(zip_derived_cl77, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 ( (big_p @ c3)
% 0.93/1.11 | ~ (big_p @ c4)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | ~ (big_r @ c2 @ X0)
% 0.93/1.11 | ~ (big_p @ X1))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.93/1.11 thf('0', plain,
% 0.93/1.11 (( (big_p @ c3)) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))) |
% 0.93/1.11 ~ ( (big_p @ c4))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl77])).
% 0.93/1.11 thf(clause_67, conjecture,
% 0.93/1.11 (~( ( big_r @ c4 @ c3 ) | ( ~( big_p @ c4 ) ) | ( big_r @ c2 @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_1, negated_conjecture,
% 0.93/1.11 (( big_r @ c4 @ c3 ) | ( ~( big_p @ c4 ) ) | ( big_r @ c2 @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_67])).
% 0.93/1.11 thf(zip_derived_cl66, plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)
% 0.93/1.11 | ~ (big_p @ c4)
% 0.93/1.11 | (big_r @ c2 @ c1)
% 0.93/1.11 | ~ (big_p @ c2))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.93/1.11 thf('1', plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)) | ( (big_r @ c2 @ c1)) | ~ ( (big_p @ c2)) |
% 0.93/1.11 ~ ( (big_p @ c4))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl66])).
% 0.93/1.11 thf(clause_66, conjecture,
% 0.93/1.11 (~( ( big_p @ c3 ) | ( ~( big_p @ c4 ) ) | ( big_r @ c2 @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_2, negated_conjecture,
% 0.93/1.11 (( big_p @ c3 ) | ( ~( big_p @ c4 ) ) | ( big_r @ c2 @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_66])).
% 0.93/1.11 thf(zip_derived_cl65, plain,
% 0.93/1.11 (( (big_p @ c3) | ~ (big_p @ c4) | (big_r @ c2 @ c1) | ~ (big_p @ c2))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.93/1.11 thf('2', plain,
% 0.93/1.11 (( (big_p @ c3)) | ( (big_r @ c2 @ c1)) | ~ ( (big_p @ c2)) |
% 0.93/1.11 ~ ( (big_p @ c4))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl65])).
% 0.93/1.11 thf(clause_55, conjecture,
% 0.93/1.11 (~( ( big_r @ c4 @ c3 ) | ( ~( big_p @ c4 ) ) | ( big_p @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_3, negated_conjecture,
% 0.93/1.11 (( big_r @ c4 @ c3 ) | ( ~( big_p @ c4 ) ) | ( big_p @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_55])).
% 0.93/1.11 thf(zip_derived_cl54, plain,
% 0.93/1.11 (( (big_r @ c4 @ c3) | ~ (big_p @ c4) | (big_p @ c1) | ~ (big_p @ c2))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.93/1.11 thf('3', plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)) | ( (big_p @ c1)) | ~ ( (big_p @ c4)) |
% 0.93/1.11 ~ ( (big_p @ c2))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl54])).
% 0.93/1.11 thf(clause_54, conjecture,
% 0.93/1.11 (~( ( big_p @ c3 ) | ( ~( big_p @ c4 ) ) | ( big_p @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_4, negated_conjecture,
% 0.93/1.11 (( big_p @ c3 ) | ( ~( big_p @ c4 ) ) | ( big_p @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_54])).
% 0.93/1.11 thf(zip_derived_cl53, plain,
% 0.93/1.11 (( (big_p @ c3) | ~ (big_p @ c4) | (big_p @ c1) | ~ (big_p @ c2))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.93/1.11 thf('4', plain,
% 0.93/1.11 (( (big_p @ c3)) | ( (big_p @ c1)) | ~ ( (big_p @ c4)) |
% 0.93/1.11 ~ ( (big_p @ c2))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl53])).
% 0.93/1.11 thf(clause_2, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_p @ X7 ) | ( big_r @ X1 @ ( f3 @ X1 ) ) |
% 0.93/1.11 ( big_p @ ( f2 @ X7 ) ) | ( big_p @ X1 ) ))).
% 0.93/1.11 thf(zf_stmt_5, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_p @ X7 ) | ( big_r @ X1 @ ( f3 @ X1 ) ) |
% 0.93/1.11 ( big_p @ ( f2 @ X7 ) ) | ( big_p @ X1 )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_2])).
% 0.93/1.11 thf(zip_derived_cl1, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_p @ X0)
% 0.93/1.11 | (big_r @ X1 @ (f3 @ X1))
% 0.93/1.11 | (big_p @ (f2 @ X0))
% 0.93/1.11 | (big_p @ X1))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.93/1.11 thf(zip_derived_cl87, plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.93/1.11 thf(clause_3, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_p @ ( f2 @ X7 ) ) | ( big_p @ X7 ) |
% 0.93/1.11 ( big_r @ ( f3 @ X1 ) @ ( f4 @ X1 ) ) | ( big_p @ X1 ) ))).
% 0.93/1.11 thf(zf_stmt_6, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_p @ ( f2 @ X7 ) ) | ( big_p @ X7 ) |
% 0.93/1.11 ( big_r @ ( f3 @ X1 ) @ ( f4 @ X1 ) ) | ( big_p @ X1 )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_3])).
% 0.93/1.11 thf(zip_derived_cl2, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_p @ (f2 @ X0))
% 0.93/1.11 | (big_p @ X0)
% 0.93/1.11 | (big_r @ (f3 @ X1) @ (f4 @ X1))
% 0.93/1.11 | (big_p @ X1))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.93/1.11 thf(zip_derived_cl90, plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.93/1.11 thf(clause_40, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ X5 ) ) | ( ~( big_r @ c4 @ X6 ) ) |
% 0.93/1.11 ( ~( big_r @ X6 @ X5 ) ) | ( big_p @ a ) ))).
% 0.93/1.11 thf(zf_stmt_7, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ X5 ) ) | ( ~( big_r @ c4 @ X6 ) ) |
% 0.93/1.11 ( ~( big_r @ X6 @ X5 ) ) | ( big_p @ a )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_40])).
% 0.93/1.11 thf(zip_derived_cl39, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0)
% 0.93/1.11 | ~ (big_r @ c4 @ X1)
% 0.93/1.11 | ~ (big_r @ X1 @ X0)
% 0.93/1.11 | (big_p @ a))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.93/1.11 thf(zip_derived_cl196, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.93/1.11 thf(zip_derived_cl392, plain,
% 0.93/1.11 ((![X0 : $i]:
% 0.93/1.11 ( (big_p @ X0) | ~ (big_p @ (f4 @ X0)) | ~ (big_r @ c4 @ (f3 @ X0))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl196])).
% 0.93/1.11 thf(zip_derived_cl399, plain,
% 0.93/1.11 ((( (big_p @ c4) | (big_p @ c4) | ~ (big_p @ (f4 @ c4))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl392])).
% 0.93/1.11 thf(zip_derived_cl400, plain,
% 0.93/1.11 (((~ (big_p @ (f4 @ c4)) | (big_p @ c4)))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('simplify', [status(thm)], [zip_derived_cl399])).
% 0.93/1.11 thf('5', plain,
% 0.93/1.11 (~ (![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) |
% 0.93/1.11 ~ ( (big_p @ (f4 @ c4))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))) |
% 0.93/1.11 ( (big_p @ c4)) |
% 0.93/1.11 ~ (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl400])).
% 0.93/1.11 thf(clause_61, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ c2 ) ) | ( big_r @ c2 @ c1 ) | ( big_p @ a ) ))).
% 0.93/1.11 thf(zf_stmt_8, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ c2 ) ) | ( big_r @ c2 @ c1 ) | ( big_p @ a )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_61])).
% 0.93/1.11 thf(zip_derived_cl60, plain,
% 0.93/1.11 ((~ (big_p @ c2) | (big_r @ c2 @ c1) | (big_p @ a))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.93/1.11 thf(zip_derived_cl267, plain,
% 0.93/1.11 (( (big_r @ c2 @ c1)) <= (( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl60])).
% 0.93/1.11 thf(clause_6, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( ~( big_r @ X1 @ X2 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ ( f5 @ X1 ) @ ( f6 @ X1 ) ) | ( big_p @ X7 ) |
% 0.93/1.11 ( big_p @ ( f2 @ X7 ) ) ))).
% 0.93/1.11 thf(zf_stmt_9, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( ~( big_r @ X1 @ X2 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ ( f5 @ X1 ) @ ( f6 @ X1 ) ) | ( big_p @ X7 ) |
% 0.93/1.11 ( big_p @ ( f2 @ X7 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_6])).
% 0.93/1.11 thf(zip_derived_cl5, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0))
% 0.93/1.11 | (big_p @ X2)
% 0.93/1.11 | (big_p @ (f2 @ X2)))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.93/1.11 thf(zip_derived_cl100, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.93/1.11 thf(zip_derived_cl587, plain,
% 0.93/1.11 (((~ (big_p @ c1) | (big_r @ (f5 @ c2) @ (f6 @ c2))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))) &
% 0.93/1.11 ( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl100])).
% 0.93/1.11 thf('6', plain,
% 0.93/1.11 (~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))) |
% 0.93/1.11 ( (big_r @ (f5 @ c2) @ (f6 @ c2))) | ~ ( (big_p @ c1)) |
% 0.93/1.11 ~ ( (big_r @ c2 @ c1))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl587])).
% 0.93/1.11 thf(zip_derived_cl267, plain,
% 0.93/1.11 (( (big_r @ c2 @ c1)) <= (( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl60])).
% 0.93/1.11 thf(clause_4, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_p @ ( f6 @ X1 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) | ( big_p @ X7 ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_p @ ( f2 @ X7 ) ) ))).
% 0.93/1.11 thf(zf_stmt_10, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_p @ ( f6 @ X1 ) ) | ( ~( big_r @ X1 @ X2 ) ) |
% 0.93/1.11 ( big_p @ X7 ) | ( ~( big_p @ X2 ) ) | ( big_p @ ( f2 @ X7 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_4])).
% 0.93/1.11 thf(zip_derived_cl3, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_p @ (f6 @ X0))
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_p @ X2)
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | (big_p @ (f2 @ X2)))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.93/1.11 thf(zip_derived_cl94, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.93/1.11 thf(zip_derived_cl585, plain,
% 0.93/1.11 (((~ (big_p @ c1) | (big_p @ (f6 @ c2))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1))) &
% 0.93/1.11 ( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl94])).
% 0.93/1.11 thf('7', plain,
% 0.93/1.11 (( (big_p @ (f6 @ c2))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 0.93/1.11 ~ ( (big_p @ c1)) | ~ ( (big_r @ c2 @ c1))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl585])).
% 0.93/1.11 thf(zip_derived_cl267, plain,
% 0.93/1.11 (( (big_r @ c2 @ c1)) <= (( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl60])).
% 0.93/1.11 thf(clause_5, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( ~( big_r @ X1 @ X2 ) ) | ( big_p @ X7 ) |
% 0.93/1.11 ( big_p @ ( f2 @ X7 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ X1 @ ( f5 @ X1 ) ) ))).
% 0.93/1.11 thf(zf_stmt_11, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( ~( big_r @ X1 @ X2 ) ) | ( big_p @ X7 ) |
% 0.93/1.11 ( big_p @ ( f2 @ X7 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ X1 @ ( f5 @ X1 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_5])).
% 0.93/1.11 thf(zip_derived_cl4, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_p @ X2)
% 0.93/1.11 | (big_p @ (f2 @ X2))
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f5 @ X0)))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.93/1.11 thf(zip_derived_cl97, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f5 @ X0))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f5 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.93/1.11 thf(zip_derived_cl586, plain,
% 0.93/1.11 (((~ (big_p @ c1) | (big_r @ c2 @ (f5 @ c2))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f5 @ X0)))) &
% 0.93/1.11 ( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl97])).
% 0.93/1.11 thf('8', plain,
% 0.93/1.11 (( (big_r @ c2 @ (f5 @ c2))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f5 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ c1)) | ~ ( (big_r @ c2 @ c1))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl586])).
% 0.93/1.11 thf(zip_derived_cl1038, plain,
% 0.93/1.11 (( (big_r @ (f5 @ c2) @ (f6 @ c2)))
% 0.93/1.11 <= (( (big_r @ (f5 @ c2) @ (f6 @ c2))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl587])).
% 0.93/1.11 thf(clause_73, conjecture,
% 0.93/1.11 (~( ( ~( big_r @ X10 @ X9 ) ) | ( ~( big_r @ c2 @ X10 ) ) |
% 0.93/1.11 ( ~( big_p @ X9 ) ) | ( big_p @ a ) ))).
% 0.93/1.11 thf(zf_stmt_12, negated_conjecture,
% 0.93/1.11 (( ~( big_r @ X10 @ X9 ) ) | ( ~( big_r @ c2 @ X10 ) ) |
% 0.93/1.11 ( ~( big_p @ X9 ) ) | ( big_p @ a )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_73])).
% 0.93/1.11 thf(zip_derived_cl72, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_r @ X0 @ X1)
% 0.93/1.11 | ~ (big_r @ c2 @ X0)
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | (big_p @ a))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.93/1.11 thf(zip_derived_cl314, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl72])).
% 0.93/1.11 thf(zip_derived_cl1044, plain,
% 0.93/1.11 (((~ (big_p @ (f6 @ c2)) | ~ (big_r @ c2 @ (f5 @ c2))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))) &
% 0.93/1.11 ( (big_r @ (f5 @ c2) @ (f6 @ c2))))),
% 0.93/1.11 inference('s_sup-', [status(thm)],
% 0.93/1.11 [zip_derived_cl1038, zip_derived_cl314])).
% 0.93/1.11 thf('9', plain,
% 0.93/1.11 (~ ( (big_p @ (f6 @ c2))) | ~ ( (big_r @ c2 @ (f5 @ c2))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))) |
% 0.93/1.11 ~ ( (big_r @ (f5 @ c2) @ (f6 @ c2)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl1044])).
% 0.93/1.11 thf(clause_60, conjecture,
% 0.93/1.11 (~( ( ~( big_r @ X6 @ X5 ) ) | ( ~( big_r @ c4 @ X6 ) ) |
% 0.93/1.11 ( ~( big_p @ X5 ) ) | ( ~( big_r @ X4 @ X3 ) ) |
% 0.93/1.11 ( ~( big_r @ c4 @ X4 ) ) | ( ~( big_p @ X3 ) ) | ( big_p @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_13, negated_conjecture,
% 0.93/1.11 (( ~( big_r @ X6 @ X5 ) ) | ( ~( big_r @ c4 @ X6 ) ) |
% 0.93/1.11 ( ~( big_p @ X5 ) ) | ( ~( big_r @ X4 @ X3 ) ) |
% 0.93/1.11 ( ~( big_r @ c4 @ X4 ) ) | ( ~( big_p @ X3 ) ) | ( big_p @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_60])).
% 0.93/1.11 thf(zip_derived_cl59, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_r @ X0 @ X1)
% 0.93/1.11 | ~ (big_r @ c4 @ X0)
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X2 @ X3)
% 0.93/1.11 | ~ (big_r @ c4 @ X2)
% 0.93/1.11 | ~ (big_p @ X3)
% 0.93/1.11 | (big_p @ c1)
% 0.93/1.11 | ~ (big_p @ c2))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.93/1.11 thf('10', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))) |
% 0.93/1.11 ( (big_p @ c1)) | ~ ( (big_p @ c2))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl59])).
% 0.93/1.11 thf(clause_72, conjecture,
% 0.93/1.11 (~( ( ~( big_r @ X6 @ X5 ) ) | ( ~( big_r @ c4 @ X6 ) ) |
% 0.93/1.11 ( ~( big_p @ X5 ) ) | ( ~( big_r @ X4 @ X3 ) ) |
% 0.93/1.11 ( ~( big_r @ c4 @ X4 ) ) | ( ~( big_p @ X3 ) ) | ( big_r @ c2 @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_14, negated_conjecture,
% 0.93/1.11 (( ~( big_r @ X6 @ X5 ) ) | ( ~( big_r @ c4 @ X6 ) ) |
% 0.93/1.11 ( ~( big_p @ X5 ) ) | ( ~( big_r @ X4 @ X3 ) ) |
% 0.93/1.11 ( ~( big_r @ c4 @ X4 ) ) | ( ~( big_p @ X3 ) ) | ( big_r @ c2 @ c1 ) |
% 0.93/1.11 ( ~( big_p @ c2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_72])).
% 0.93/1.11 thf(zip_derived_cl71, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_r @ X0 @ X1)
% 0.93/1.11 | ~ (big_r @ c4 @ X0)
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X2 @ X3)
% 0.93/1.11 | ~ (big_r @ c4 @ X2)
% 0.93/1.11 | ~ (big_p @ X3)
% 0.93/1.11 | (big_r @ c2 @ c1)
% 0.93/1.11 | ~ (big_p @ c2))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.93/1.11 thf('11', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))) |
% 0.93/1.11 ( (big_r @ c2 @ c1)) | ~ ( (big_p @ c2))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.93/1.11 thf(clause_84, conjecture,
% 0.93/1.11 (~( ( ~( big_r @ X6 @ X5 ) ) | ( ~( big_r @ c4 @ X6 ) ) |
% 0.93/1.11 ( ~( big_p @ X5 ) ) | ( ~( big_r @ X4 @ X3 ) ) |
% 0.93/1.11 ( ~( big_r @ c4 @ X4 ) ) | ( ~( big_p @ X3 ) ) |
% 0.93/1.11 ( ~( big_r @ X10 @ X9 ) ) | ( ~( big_r @ c2 @ X10 ) ) |
% 0.93/1.11 ( ~( big_p @ X9 ) ) ))).
% 0.93/1.11 thf(zf_stmt_15, negated_conjecture,
% 0.93/1.11 (( ~( big_r @ X6 @ X5 ) ) | ( ~( big_r @ c4 @ X6 ) ) |
% 0.93/1.11 ( ~( big_p @ X5 ) ) | ( ~( big_r @ X4 @ X3 ) ) |
% 0.93/1.11 ( ~( big_r @ c4 @ X4 ) ) | ( ~( big_p @ X3 ) ) |
% 0.93/1.11 ( ~( big_r @ X10 @ X9 ) ) | ( ~( big_r @ c2 @ X10 ) ) |
% 0.93/1.11 ( ~( big_p @ X9 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_84])).
% 0.93/1.11 thf(zip_derived_cl83, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.93/1.11 (~ (big_r @ X0 @ X1)
% 0.93/1.11 | ~ (big_r @ c4 @ X0)
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X2 @ X3)
% 0.93/1.11 | ~ (big_r @ c4 @ X2)
% 0.93/1.11 | ~ (big_p @ X3)
% 0.93/1.11 | ~ (big_r @ X4 @ X5)
% 0.93/1.11 | ~ (big_r @ c2 @ X4)
% 0.93/1.11 | ~ (big_p @ X5))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.93/1.11 thf('12', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl83])).
% 0.93/1.11 thf(zip_derived_cl267, plain,
% 0.93/1.11 (( (big_r @ c2 @ c1)) <= (( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl60])).
% 0.93/1.11 thf(clause_31, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_p @ ( f4 @ X1 ) ) | ( ~( big_p @ X8 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) | ( big_p @ X1 ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) ))).
% 0.93/1.11 thf(zf_stmt_16, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_p @ ( f4 @ X1 ) ) | ( ~( big_p @ X8 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) | ( big_p @ X1 ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_31])).
% 0.93/1.11 thf(zip_derived_cl30, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_p @ (f4 @ X0))
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X2 @ X1)
% 0.93/1.11 | (big_p @ X0)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2)))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.93/1.11 thf(zip_derived_cl174, plain,
% 0.93/1.11 ((![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1)))
% 0.93/1.11 <= ((![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl30])).
% 0.93/1.11 thf(zip_derived_cl805, plain,
% 0.93/1.11 (((~ (big_p @ c1) | (big_r @ (f1 @ c2) @ (f2 @ c2))))
% 0.93/1.11 <= ((![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1))) &
% 0.93/1.11 ( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl174])).
% 0.93/1.11 thf('13', plain,
% 0.93/1.11 (( (big_r @ (f1 @ c2) @ (f2 @ c2))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1))) |
% 0.93/1.11 ~ ( (big_p @ c1)) | ~ ( (big_r @ c2 @ c1))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl805])).
% 0.93/1.11 thf(zip_derived_cl267, plain,
% 0.93/1.11 (( (big_r @ c2 @ c1)) <= (( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl60])).
% 0.93/1.11 thf(clause_19, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_p @ ( f2 @ X7 ) ) | ( big_p @ X1 ) |
% 0.93/1.11 ( ~( big_p @ X8 ) ) | ( big_p @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) ))).
% 0.93/1.11 thf(zf_stmt_17, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_p @ ( f2 @ X7 ) ) | ( big_p @ X1 ) |
% 0.93/1.11 ( ~( big_p @ X8 ) ) | ( big_p @ ( f4 @ X1 ) ) | ( ~( big_r @ X7 @ X8 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_19])).
% 0.93/1.11 thf(zip_derived_cl18, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_p @ (f2 @ X0))
% 0.93/1.11 | (big_p @ X1)
% 0.93/1.11 | ~ (big_p @ X2)
% 0.93/1.11 | (big_p @ (f4 @ X1))
% 0.93/1.11 | ~ (big_r @ X0 @ X2))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.93/1.11 thf(zip_derived_cl139, plain,
% 0.93/1.11 ((![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2)))
% 0.93/1.11 <= ((![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl18])).
% 0.93/1.11 thf(zip_derived_cl678, plain,
% 0.93/1.11 ((( (big_p @ (f2 @ c2)) | ~ (big_p @ c1)))
% 0.93/1.11 <= ((![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))) &
% 0.93/1.11 ( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl139])).
% 0.93/1.11 thf('14', plain,
% 0.93/1.11 (( (big_p @ (f2 @ c2))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))) |
% 0.93/1.11 ~ ( (big_p @ c1)) | ~ ( (big_r @ c2 @ c1))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl678])).
% 0.93/1.11 thf(zip_derived_cl267, plain,
% 0.93/1.11 (( (big_r @ c2 @ c1)) <= (( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl60])).
% 0.93/1.11 thf(clause_25, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( ~( big_r @ X7 @ X8 ) ) |
% 0.93/1.11 ( big_r @ X7 @ ( f1 @ X7 ) ) | ( big_p @ X1 ) |
% 0.93/1.11 ( big_p @ ( f4 @ X1 ) ) | ( ~( big_p @ X8 ) ) ))).
% 0.93/1.11 thf(zf_stmt_18, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( ~( big_r @ X7 @ X8 ) ) |
% 0.93/1.11 ( big_r @ X7 @ ( f1 @ X7 ) ) | ( big_p @ X1 ) | ( big_p @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( ~( big_p @ X8 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_25])).
% 0.93/1.11 thf(zip_derived_cl24, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f1 @ X0))
% 0.93/1.11 | (big_p @ X2)
% 0.93/1.11 | (big_p @ (f4 @ X2))
% 0.93/1.11 | ~ (big_p @ X1))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.93/1.11 thf(zip_derived_cl157, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f1 @ X0))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f1 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl24])).
% 0.93/1.11 thf(zip_derived_cl729, plain,
% 0.93/1.11 (((~ (big_p @ c1) | (big_r @ c2 @ (f1 @ c2))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f1 @ X0)))) &
% 0.93/1.11 ( (big_r @ c2 @ c1)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl267, zip_derived_cl157])).
% 0.93/1.11 thf('15', plain,
% 0.93/1.11 (( (big_r @ c2 @ (f1 @ c2))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ c1)) | ~ ( (big_r @ c2 @ c1))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl729])).
% 0.93/1.11 thf(zip_derived_cl1127, plain,
% 0.93/1.11 (( (big_r @ (f1 @ c2) @ (f2 @ c2)))
% 0.93/1.11 <= (( (big_r @ (f1 @ c2) @ (f2 @ c2))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl805])).
% 0.93/1.11 thf(zip_derived_cl314, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl72])).
% 0.93/1.11 thf(zip_derived_cl1133, plain,
% 0.93/1.11 (((~ (big_p @ (f2 @ c2)) | ~ (big_r @ c2 @ (f1 @ c2))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))) &
% 0.93/1.11 ( (big_r @ (f1 @ c2) @ (f2 @ c2))))),
% 0.93/1.11 inference('s_sup-', [status(thm)],
% 0.93/1.11 [zip_derived_cl1127, zip_derived_cl314])).
% 0.93/1.11 thf('16', plain,
% 0.93/1.11 (~ ( (big_r @ c2 @ (f1 @ c2))) | ~ ( (big_r @ (f1 @ c2) @ (f2 @ c2))) |
% 0.93/1.11 ~ ( (big_p @ (f2 @ c2))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl1133])).
% 0.93/1.11 thf(zip_derived_cl402, plain,
% 0.93/1.11 ((~ (big_p @ (f4 @ c4))) <= (~ ( (big_p @ (f4 @ c4))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl400])).
% 0.93/1.11 thf(clause_1, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_p @ X7 ) | ( big_p @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( big_p @ X1 ) | ( big_p @ ( f2 @ X7 ) ) ))).
% 0.93/1.11 thf(zf_stmt_19, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_p @ X7 ) | ( big_p @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( big_p @ X1 ) | ( big_p @ ( f2 @ X7 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_1])).
% 0.93/1.11 thf(zip_derived_cl0, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_p @ X0)
% 0.93/1.11 | (big_p @ (f4 @ X1))
% 0.93/1.11 | (big_p @ X1)
% 0.93/1.11 | (big_p @ (f2 @ X0)))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.93/1.11 thf(zip_derived_cl84, plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1)))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.93/1.11 thf(zip_derived_cl404, plain,
% 0.93/1.11 (( (big_p @ c4))
% 0.93/1.11 <= (~ ( (big_p @ (f4 @ c4))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))))),
% 0.93/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl402, zip_derived_cl84])).
% 0.93/1.11 thf(clause_41, conjecture, (~( ( ~( big_p @ c4 ) ) | ( big_p @ a ) ))).
% 0.93/1.11 thf(zf_stmt_20, negated_conjecture, (( ~( big_p @ c4 ) ) | ( big_p @ a )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_41])).
% 0.93/1.11 thf(zip_derived_cl40, plain, ((~ (big_p @ c4) | (big_p @ a))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.93/1.11 thf(zip_derived_cl198, plain, ((~ (big_p @ c4)) <= (~ ( (big_p @ c4)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl40])).
% 0.93/1.11 thf('17', plain,
% 0.93/1.11 (( (big_p @ (f4 @ c4))) |
% 0.93/1.11 ~ (![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))) | ( (big_p @ c4))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl404, zip_derived_cl198])).
% 0.93/1.11 thf(clause_7, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_p @ X7 ) | ( big_p @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( big_r @ X7 @ ( f1 @ X7 ) ) | ( big_p @ X1 ) ))).
% 0.93/1.11 thf(zf_stmt_21, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_p @ X7 ) | ( big_p @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( big_r @ X7 @ ( f1 @ X7 ) ) | ( big_p @ X1 )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_7])).
% 0.93/1.11 thf(zip_derived_cl6, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_p @ X0)
% 0.93/1.11 | (big_p @ (f4 @ X1))
% 0.93/1.11 | (big_r @ X0 @ (f1 @ X0))
% 0.93/1.11 | (big_p @ X1))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.93/1.11 thf(zip_derived_cl103, plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0))))
% 0.93/1.11 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl6])).
% 0.93/1.11 thf(clause_13, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_p @ X1 ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) | ( big_p @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( big_p @ X7 ) ))).
% 0.93/1.11 thf(zf_stmt_22, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_p @ X1 ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) | ( big_p @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( big_p @ X7 )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_13])).
% 0.93/1.11 thf(zip_derived_cl12, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_p @ X0)
% 0.93/1.11 | (big_r @ (f1 @ X1) @ (f2 @ X1))
% 0.93/1.11 | (big_p @ (f4 @ X0))
% 0.93/1.11 | (big_p @ X1))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_22])).
% 0.93/1.11 thf(zip_derived_cl120, plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl12])).
% 0.93/1.11 thf(zip_derived_cl196, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.93/1.11 thf(zip_derived_cl601, plain,
% 0.93/1.11 ((![X0 : $i]:
% 0.93/1.11 ( (big_p @ X0) | ~ (big_p @ (f2 @ X0)) | ~ (big_r @ c4 @ (f1 @ X0))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl196])).
% 0.93/1.11 thf(zip_derived_cl912, plain,
% 0.93/1.11 ((( (big_p @ c4) | (big_p @ c4) | ~ (big_p @ (f2 @ c4))))
% 0.93/1.11 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl601])).
% 0.93/1.11 thf(zip_derived_cl914, plain,
% 0.93/1.11 (((~ (big_p @ (f2 @ c4)) | (big_p @ c4)))
% 0.93/1.11 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('simplify', [status(thm)], [zip_derived_cl912])).
% 0.93/1.11 thf(clause_24, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( ~( big_r @ X7 @ X8 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ ( f5 @ X1 ) @ ( f6 @ X1 ) ) | ( ~( big_p @ X8 ) ) |
% 0.93/1.11 ( big_p @ ( f2 @ X7 ) ) ))).
% 0.93/1.11 thf(zf_stmt_23, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( ~( big_r @ X7 @ X8 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ ( f5 @ X1 ) @ ( f6 @ X1 ) ) | ( ~( big_p @ X8 ) ) |
% 0.93/1.11 ( big_p @ ( f2 @ X7 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_24])).
% 0.93/1.11 thf(zip_derived_cl23, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | ~ (big_r @ X2 @ X3)
% 0.93/1.11 | ~ (big_p @ X3)
% 0.93/1.11 | (big_r @ (f5 @ X2) @ (f6 @ X2))
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | (big_p @ (f2 @ X0)))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_23])).
% 0.93/1.11 thf('18', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))) |
% 0.93/1.11 (![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl23])).
% 0.93/1.11 thf(clause_30, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( ~( big_p @ X8 ) ) |
% 0.93/1.11 ( big_r @ X7 @ ( f1 @ X7 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) | ( big_r @ ( f5 @ X1 ) @ ( f6 @ X1 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_24, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( ~( big_p @ X8 ) ) | ( big_r @ X7 @ ( f1 @ X7 ) ) |
% 0.93/1.11 ( ~( big_p @ X2 ) ) | ( ~( big_r @ X7 @ X8 ) ) |
% 0.93/1.11 ( big_r @ ( f5 @ X1 ) @ ( f6 @ X1 ) ) | ( ~( big_r @ X1 @ X2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_30])).
% 0.93/1.11 thf(zip_derived_cl29, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | ~ (big_p @ X0)
% 0.93/1.11 | (big_r @ X1 @ (f1 @ X1))
% 0.93/1.11 | ~ (big_p @ X2)
% 0.93/1.11 | ~ (big_r @ X1 @ X0)
% 0.93/1.11 | (big_r @ (f5 @ X3) @ (f6 @ X3))
% 0.93/1.11 | ~ (big_r @ X3 @ X2))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_24])).
% 0.93/1.11 thf('19', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl29])).
% 0.93/1.11 thf(clause_36, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_r @ ( f5 @ X1 ) @ ( f6 @ X1 ) ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) | ( ~( big_r @ X1 @ X2 ) ) |
% 0.93/1.11 ( ~( big_p @ X8 ) ) ))).
% 0.93/1.11 thf(zf_stmt_25, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_r @ ( f5 @ X1 ) @ ( f6 @ X1 ) ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) | ( ~( big_r @ X1 @ X2 ) ) | ( ~( big_p @ X8 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_36])).
% 0.93/1.11 thf(zip_derived_cl35, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0))
% 0.93/1.11 | (big_r @ (f1 @ X1) @ (f2 @ X1))
% 0.93/1.11 | ~ (big_p @ X2)
% 0.93/1.11 | ~ (big_r @ X1 @ X3)
% 0.93/1.11 | ~ (big_r @ X0 @ X2)
% 0.93/1.11 | ~ (big_p @ X3))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_25])).
% 0.93/1.11 thf('20', plain,
% 0.93/1.11 ((![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1))) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl35])).
% 0.93/1.11 thf('21', plain,
% 0.93/1.11 (( (big_r @ (f5 @ c2) @ (f6 @ c2))) | ~ ( (big_p @ c1)) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))) |
% 0.93/1.11 ~ ( (big_r @ c2 @ c1))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl587])).
% 0.93/1.11 thf(clause_23, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( ~( big_p @ X8 ) ) | ( ~( big_r @ X7 @ X8 ) ) |
% 0.93/1.11 ( ~( big_p @ X2 ) ) | ( big_p @ ( f2 @ X7 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) | ( big_r @ X1 @ ( f5 @ X1 ) ) ))).
% 0.93/1.11 thf(zf_stmt_26, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( ~( big_p @ X8 ) ) | ( ~( big_r @ X7 @ X8 ) ) |
% 0.93/1.11 ( ~( big_p @ X2 ) ) | ( big_p @ ( f2 @ X7 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) | ( big_r @ X1 @ ( f5 @ X1 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_23])).
% 0.93/1.11 thf(zip_derived_cl22, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | ~ (big_p @ X0)
% 0.93/1.11 | ~ (big_r @ X1 @ X0)
% 0.93/1.11 | ~ (big_p @ X2)
% 0.93/1.11 | (big_p @ (f2 @ X1))
% 0.93/1.11 | ~ (big_r @ X3 @ X2)
% 0.93/1.11 | (big_r @ X3 @ (f5 @ X3)))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_26])).
% 0.93/1.11 thf('22', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f5 @ X0)))) |
% 0.93/1.11 (![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.93/1.11 thf(clause_29, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_r @ X7 @ ( f1 @ X7 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) | ( big_r @ X1 @ ( f5 @ X1 ) ) |
% 0.93/1.11 ( ~( big_p @ X8 ) ) | ( ~( big_p @ X2 ) ) | ( ~( big_r @ X1 @ X2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_27, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_r @ X7 @ ( f1 @ X7 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) | ( big_r @ X1 @ ( f5 @ X1 ) ) |
% 0.93/1.11 ( ~( big_p @ X8 ) ) | ( ~( big_p @ X2 ) ) | ( ~( big_r @ X1 @ X2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_29])).
% 0.93/1.11 thf(zip_derived_cl28, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_r @ X0 @ (f1 @ X0))
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X2 @ (f5 @ X2))
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | ~ (big_p @ X3)
% 0.93/1.11 | ~ (big_r @ X2 @ X3))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_27])).
% 0.93/1.11 thf('23', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f5 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl28])).
% 0.93/1.11 thf(clause_22, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( ~( big_p @ X2 ) ) | ( big_p @ ( f6 @ X1 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) | ( big_p @ ( f2 @ X7 ) ) |
% 0.93/1.11 ( ~( big_p @ X8 ) ) | ( ~( big_r @ X7 @ X8 ) ) ))).
% 0.93/1.11 thf(zf_stmt_28, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( ~( big_p @ X2 ) ) | ( big_p @ ( f6 @ X1 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) | ( big_p @ ( f2 @ X7 ) ) |
% 0.93/1.11 ( ~( big_p @ X8 ) ) | ( ~( big_r @ X7 @ X8 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_22])).
% 0.93/1.11 thf(zip_derived_cl21, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | ~ (big_p @ X0)
% 0.93/1.11 | (big_p @ (f6 @ X1))
% 0.93/1.11 | ~ (big_r @ X1 @ X0)
% 0.93/1.11 | (big_p @ (f2 @ X2))
% 0.93/1.11 | ~ (big_p @ X3)
% 0.93/1.11 | ~ (big_r @ X2 @ X3))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_28])).
% 0.93/1.11 thf('24', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 0.93/1.11 (![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl21])).
% 0.93/1.11 thf(clause_28, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( ~( big_p @ X8 ) ) | ( ~( big_r @ X1 @ X2 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) | ( big_r @ X7 @ ( f1 @ X7 ) ) |
% 0.93/1.11 ( big_p @ ( f6 @ X1 ) ) | ( ~( big_p @ X2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_29, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( ~( big_p @ X8 ) ) | ( ~( big_r @ X1 @ X2 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) | ( big_r @ X7 @ ( f1 @ X7 ) ) |
% 0.93/1.11 ( big_p @ ( f6 @ X1 ) ) | ( ~( big_p @ X2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_28])).
% 0.93/1.11 thf(zip_derived_cl27, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | ~ (big_p @ X0)
% 0.93/1.11 | ~ (big_r @ X1 @ X2)
% 0.93/1.11 | ~ (big_r @ X3 @ X0)
% 0.93/1.11 | (big_r @ X3 @ (f1 @ X3))
% 0.93/1.11 | (big_p @ (f6 @ X1))
% 0.93/1.11 | ~ (big_p @ X2))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_29])).
% 0.93/1.11 thf('25', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl27])).
% 0.93/1.11 thf('26', plain,
% 0.93/1.11 (~ ( (big_p @ c1)) | ( (big_p @ (f6 @ c2))) | ~ ( (big_r @ c2 @ c1)) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl585])).
% 0.93/1.11 thf('27', plain,
% 0.93/1.11 (( (big_r @ c2 @ (f5 @ c2))) | ~ ( (big_p @ c1)) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f5 @ X0)))) |
% 0.93/1.11 ~ ( (big_r @ c2 @ c1))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl586])).
% 0.93/1.11 thf(clause_34, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) | ( ~( big_r @ X7 @ X8 ) ) |
% 0.93/1.11 ( ~( big_p @ X8 ) ) | ( big_p @ ( f6 @ X1 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) ))).
% 0.93/1.11 thf(zf_stmt_30, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) | ( ~( big_r @ X7 @ X8 ) ) |
% 0.93/1.11 ( ~( big_p @ X8 ) ) | ( big_p @ ( f6 @ X1 ) ) | ( ~( big_r @ X1 @ X2 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_34])).
% 0.93/1.11 thf(zip_derived_cl33, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | ~ (big_p @ X0)
% 0.93/1.11 | (big_r @ (f1 @ X1) @ (f2 @ X1))
% 0.93/1.11 | ~ (big_r @ X1 @ X2)
% 0.93/1.11 | ~ (big_p @ X2)
% 0.93/1.11 | (big_p @ (f6 @ X3))
% 0.93/1.11 | ~ (big_r @ X3 @ X0))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_30])).
% 0.93/1.11 thf('28', plain,
% 0.93/1.11 ((![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1))) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl33])).
% 0.93/1.11 thf(clause_35, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_r @ X1 @ ( f5 @ X1 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) | ( ~( big_p @ X8 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) ) ))).
% 0.93/1.11 thf(zf_stmt_31, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_r @ X1 @ ( f5 @ X1 ) ) |
% 0.93/1.11 ( ~( big_r @ X1 @ X2 ) ) | ( ~( big_p @ X2 ) ) |
% 0.93/1.11 ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) | ( ~( big_p @ X8 ) ) |
% 0.93/1.11 ( ~( big_r @ X7 @ X8 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_35])).
% 0.93/1.11 thf(zip_derived_cl34, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_r @ X0 @ (f5 @ X0))
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | ~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_p @ X3)
% 0.93/1.11 | ~ (big_r @ X2 @ X3))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_31])).
% 0.93/1.11 thf('29', plain,
% 0.93/1.11 ((![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1))) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f5 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl34])).
% 0.93/1.11 thf('30', plain,
% 0.93/1.11 (( (big_r @ c2 @ c1)) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))) |
% 0.93/1.11 ~ ( (big_p @ c2))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.93/1.11 thf('31', plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))) |
% 0.93/1.11 (![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))) | ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.93/1.11 thf('32', plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) |
% 0.93/1.11 (![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))) | ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.93/1.11 thf('33', plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.93/1.11 thf(zip_derived_cl861, plain,
% 0.93/1.11 (( (big_r @ c2 @ (f1 @ c2))) <= (( (big_r @ c2 @ (f1 @ c2))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl729])).
% 0.93/1.11 thf(zip_derived_cl120, plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl12])).
% 0.93/1.11 thf(zip_derived_cl314, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl72])).
% 0.93/1.11 thf(zip_derived_cl600, plain,
% 0.93/1.11 ((![X0 : $i]:
% 0.93/1.11 ( (big_p @ X0) | ~ (big_p @ (f2 @ X0)) | ~ (big_r @ c2 @ (f1 @ X0))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl314])).
% 0.93/1.11 thf(zip_derived_cl908, plain,
% 0.93/1.11 ((( (big_p @ c2) | ~ (big_p @ (f2 @ c2))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))) &
% 0.93/1.11 ( (big_r @ c2 @ (f1 @ c2))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl861, zip_derived_cl600])).
% 0.93/1.11 thf(zip_derived_cl986, plain,
% 0.93/1.11 ((~ (big_p @ (f2 @ c2))) <= (~ ( (big_p @ (f2 @ c2))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl908])).
% 0.93/1.11 thf(zip_derived_cl85, plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0))))
% 0.93/1.11 <= ((![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.93/1.11 thf(zip_derived_cl988, plain,
% 0.93/1.11 (( (big_p @ c2))
% 0.93/1.11 <= (~ ( (big_p @ (f2 @ c2))) &
% 0.93/1.11 (![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))))),
% 0.93/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl986, zip_derived_cl85])).
% 0.93/1.11 thf(clause_49, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ c2 ) ) | ( big_p @ a ) | ( big_p @ c1 ) ))).
% 0.93/1.11 thf(zf_stmt_32, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ c2 ) ) | ( big_p @ a ) | ( big_p @ c1 )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_49])).
% 0.93/1.11 thf(zip_derived_cl48, plain,
% 0.93/1.11 ((~ (big_p @ c2) | (big_p @ a) | (big_p @ c1))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_32])).
% 0.93/1.11 thf(zip_derived_cl221, plain, ((~ (big_p @ c2)) <= (~ ( (big_p @ c2)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl48])).
% 0.93/1.11 thf('34', plain,
% 0.93/1.11 (( (big_p @ (f2 @ c2))) |
% 0.93/1.11 ~ (![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))) | ( (big_p @ c2))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl988, zip_derived_cl221])).
% 0.93/1.11 thf(clause_8, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_p @ X1 ) | ( big_r @ X7 @ ( f1 @ X7 ) ) |
% 0.93/1.11 ( big_p @ X7 ) | ( big_r @ X1 @ ( f3 @ X1 ) ) ))).
% 0.93/1.11 thf(zf_stmt_33, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_p @ X1 ) | ( big_r @ X7 @ ( f1 @ X7 ) ) |
% 0.93/1.11 ( big_p @ X7 ) | ( big_r @ X1 @ ( f3 @ X1 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_8])).
% 0.93/1.11 thf(zip_derived_cl7, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_p @ X0)
% 0.93/1.11 | (big_r @ X1 @ (f1 @ X1))
% 0.93/1.11 | (big_p @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f3 @ X0)))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_33])).
% 0.93/1.11 thf('35', plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl7])).
% 0.93/1.11 thf(clause_14, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) |
% 0.93/1.11 ( big_p @ X7 ) | ( big_r @ X1 @ ( f3 @ X1 ) ) | ( big_p @ X1 ) ))).
% 0.93/1.11 thf(zf_stmt_34, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) |
% 0.93/1.11 ( big_p @ X7 ) | ( big_r @ X1 @ ( f3 @ X1 ) ) | ( big_p @ X1 )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_14])).
% 0.93/1.11 thf(zip_derived_cl13, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_r @ (f1 @ X0) @ (f2 @ X0))
% 0.93/1.11 | (big_p @ X0)
% 0.93/1.11 | (big_r @ X1 @ (f3 @ X1))
% 0.93/1.11 | (big_p @ X1))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_34])).
% 0.93/1.11 thf('36', plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl13])).
% 0.93/1.11 thf('37', plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))) |
% 0.93/1.11 (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl6])).
% 0.93/1.11 thf(clause_9, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_r @ ( f3 @ X1 ) @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( big_p @ X7 ) | ( big_r @ X7 @ ( f1 @ X7 ) ) | ( big_p @ X1 ) ))).
% 0.93/1.11 thf(zf_stmt_35, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_r @ ( f3 @ X1 ) @ ( f4 @ X1 ) ) |
% 0.93/1.11 ( big_p @ X7 ) | ( big_r @ X7 @ ( f1 @ X7 ) ) | ( big_p @ X1 )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_9])).
% 0.93/1.11 thf(zip_derived_cl8, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_r @ (f3 @ X0) @ (f4 @ X0))
% 0.93/1.11 | (big_p @ X1)
% 0.93/1.11 | (big_r @ X1 @ (f1 @ X1))
% 0.93/1.11 | (big_p @ X0))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_35])).
% 0.93/1.11 thf('38', plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.93/1.11 thf(zip_derived_cl87, plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.93/1.11 thf(zip_derived_cl90, plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.93/1.11 thf(zip_derived_cl314, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl72])).
% 0.93/1.11 thf(zip_derived_cl548, plain,
% 0.93/1.11 ((![X0 : $i]:
% 0.93/1.11 ( (big_p @ X0) | ~ (big_p @ (f4 @ X0)) | ~ (big_r @ c2 @ (f3 @ X0))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl314])).
% 0.93/1.11 thf(zip_derived_cl903, plain,
% 0.93/1.11 ((( (big_p @ c2) | (big_p @ c2) | ~ (big_p @ (f4 @ c2))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl548])).
% 0.93/1.11 thf(zip_derived_cl904, plain,
% 0.93/1.11 (((~ (big_p @ (f4 @ c2)) | (big_p @ c2)))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('simplify', [status(thm)], [zip_derived_cl903])).
% 0.93/1.11 thf('39', plain,
% 0.93/1.11 (( (big_p @ c2)) | ~ ( (big_p @ (f4 @ c2))) |
% 0.93/1.11 ~ (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) |
% 0.93/1.11 ~ (![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl904])).
% 0.93/1.11 thf('40', plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl12])).
% 0.93/1.11 thf(clause_15, conjecture,
% 0.93/1.11 (~( ( ~( big_p @ a ) ) | ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) |
% 0.93/1.11 ( big_p @ X1 ) | ( big_r @ ( f3 @ X1 ) @ ( f4 @ X1 ) ) | ( big_p @ X7 ) ))).
% 0.93/1.11 thf(zf_stmt_36, negated_conjecture,
% 0.93/1.11 (( ~( big_p @ a ) ) | ( big_r @ ( f1 @ X7 ) @ ( f2 @ X7 ) ) |
% 0.93/1.11 ( big_p @ X1 ) | ( big_r @ ( f3 @ X1 ) @ ( f4 @ X1 ) ) | ( big_p @ X7 )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_15])).
% 0.93/1.11 thf(zip_derived_cl14, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ a)
% 0.93/1.11 | (big_r @ (f1 @ X0) @ (f2 @ X0))
% 0.93/1.11 | (big_p @ X1)
% 0.93/1.11 | (big_r @ (f3 @ X1) @ (f4 @ X1))
% 0.93/1.11 | (big_p @ X0))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_36])).
% 0.93/1.11 thf('41', plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f3 @ X1) @ (f4 @ X1)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl14])).
% 0.93/1.11 thf(zip_derived_cl86, plain, ((~ (big_p @ a)) <= (~ ( (big_p @ a)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.93/1.11 thf(clause_37, conjecture, (~( big_p @ a ))).
% 0.93/1.11 thf(zf_stmt_37, negated_conjecture, (big_p @ a),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_37])).
% 0.93/1.11 thf(zip_derived_cl36, plain, ( (big_p @ a)),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_37])).
% 0.93/1.11 thf('42', plain, (( (big_p @ a))),
% 0.93/1.11 inference('demod', [status(thm)], [zip_derived_cl86, zip_derived_cl36])).
% 0.93/1.11 thf(zip_derived_cl103, plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0))))
% 0.93/1.11 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl6])).
% 0.93/1.11 thf(zip_derived_cl600, plain,
% 0.93/1.11 ((![X0 : $i]:
% 0.93/1.11 ( (big_p @ X0) | ~ (big_p @ (f2 @ X0)) | ~ (big_r @ c2 @ (f1 @ X0))))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl314])).
% 0.93/1.11 thf(zip_derived_cl907, plain,
% 0.93/1.11 ((( (big_p @ c2) | (big_p @ c2) | ~ (big_p @ (f2 @ c2))))
% 0.93/1.11 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl103, zip_derived_cl600])).
% 0.93/1.11 thf(zip_derived_cl909, plain,
% 0.93/1.11 (((~ (big_p @ (f2 @ c2)) | (big_p @ c2)))
% 0.93/1.11 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) &
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('simplify', [status(thm)], [zip_derived_cl907])).
% 0.93/1.11 thf('43', plain,
% 0.93/1.11 (( (big_p @ c2)) |
% 0.93/1.11 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))) |
% 0.93/1.11 ~ (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) |
% 0.93/1.11 ~ ( (big_p @ (f2 @ c2)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl909])).
% 0.93/1.11 thf(zip_derived_cl916, plain,
% 0.93/1.11 ((~ (big_p @ (f4 @ c2))) <= (~ ( (big_p @ (f4 @ c2))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl904])).
% 0.93/1.11 thf(zip_derived_cl84, plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1)))
% 0.93/1.11 <= ((![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.93/1.11 thf(zip_derived_cl918, plain,
% 0.93/1.11 (( (big_p @ c2))
% 0.93/1.11 <= (~ ( (big_p @ (f4 @ c2))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))))),
% 0.93/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl916, zip_derived_cl84])).
% 0.93/1.11 thf(zip_derived_cl221, plain, ((~ (big_p @ c2)) <= (~ ( (big_p @ c2)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl48])).
% 0.93/1.11 thf('44', plain,
% 0.93/1.11 (( (big_p @ (f4 @ c2))) | ( (big_p @ c2)) |
% 0.93/1.11 ~ (![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl918, zip_derived_cl221])).
% 0.93/1.11 thf('45', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl83])).
% 0.93/1.11 thf('46', plain,
% 0.93/1.11 (( (big_r @ (f1 @ c2) @ (f2 @ c2))) | ~ ( (big_p @ c1)) |
% 0.93/1.11 ~ ( (big_r @ c2 @ c1)) |
% 0.93/1.11 ~
% 0.93/1.11 (![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl805])).
% 0.93/1.11 thf('47', plain,
% 0.93/1.11 (( (big_p @ (f2 @ c2))) | ~ ( (big_p @ c1)) | ~ ( (big_r @ c2 @ c1)) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl678])).
% 0.93/1.11 thf('48', plain,
% 0.93/1.11 (~ ( (big_p @ c1)) | ( (big_r @ c2 @ (f1 @ c2))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 ~ ( (big_r @ c2 @ c1))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl729])).
% 0.93/1.11 thf('49', plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1)))),
% 0.93/1.11 inference('sat_resolution*', [status(thm)],
% 0.93/1.11 ['18', '19', '20', '21', '22', '23', '24', '25', '26', '27',
% 0.93/1.11 '28', '29', '9', '10', '30', '31', '32', '33', '34', '35',
% 0.93/1.11 '36', '37', '38', '39', '40', '41', '42', '43', '44', '45',
% 0.93/1.11 '46', '47', '48', '16'])).
% 0.93/1.11 thf(zip_derived_cl1291, plain,
% 0.93/1.11 (((~ (big_p @ (f2 @ c4)) | (big_p @ c4)))
% 0.93/1.11 <= ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) &
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))))),
% 0.93/1.11 inference('simpl_trail', [status(thm)], [zip_derived_cl914, '49'])).
% 0.93/1.11 thf('50', plain,
% 0.93/1.11 (~ ( (big_p @ (f2 @ c4))) |
% 0.93/1.11 ~ (![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) |
% 0.93/1.11 ~ (![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 ( (big_p @ c4))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl1291])).
% 0.93/1.11 thf(clause_39, conjecture, (~( ( big_r @ c4 @ c3 ) | ( big_p @ a ) ))).
% 0.93/1.11 thf(zf_stmt_38, negated_conjecture, (( big_r @ c4 @ c3 ) | ( big_p @ a )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_39])).
% 0.93/1.11 thf(zip_derived_cl38, plain, (( (big_r @ c4 @ c3) | (big_p @ a))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_38])).
% 0.93/1.11 thf(zip_derived_cl194, plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)) <= (( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl38])).
% 0.93/1.11 thf(zip_derived_cl174, plain,
% 0.93/1.11 ((![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1)))
% 0.93/1.11 <= ((![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl30])).
% 0.93/1.11 thf(zip_derived_cl803, plain,
% 0.93/1.11 (((~ (big_p @ c3) | (big_r @ (f1 @ c4) @ (f2 @ c4))))
% 0.93/1.11 <= ((![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1))) &
% 0.93/1.11 ( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl174])).
% 0.93/1.11 thf(zip_derived_cl1062, plain,
% 0.93/1.11 (( (big_r @ (f1 @ c4) @ (f2 @ c4)))
% 0.93/1.11 <= (( (big_r @ (f1 @ c4) @ (f2 @ c4))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl803])).
% 0.93/1.11 thf(zip_derived_cl314, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl72])).
% 0.93/1.11 thf(zip_derived_cl1068, plain,
% 0.93/1.11 (((~ (big_p @ (f2 @ c4)) | ~ (big_r @ c2 @ (f1 @ c4))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))) &
% 0.93/1.11 ( (big_r @ (f1 @ c4) @ (f2 @ c4))))),
% 0.93/1.11 inference('s_sup-', [status(thm)],
% 0.93/1.11 [zip_derived_cl1062, zip_derived_cl314])).
% 0.93/1.11 thf(zip_derived_cl1087, plain,
% 0.93/1.11 ((~ (big_p @ (f2 @ c4))) <= (~ ( (big_p @ (f2 @ c4))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl1068])).
% 0.93/1.11 thf(zip_derived_cl85, plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0))))
% 0.93/1.11 <= ((![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.93/1.11 thf(zip_derived_cl1088, plain,
% 0.93/1.11 (( (big_p @ c4))
% 0.93/1.11 <= (~ ( (big_p @ (f2 @ c4))) &
% 0.93/1.11 (![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))))),
% 0.93/1.11 inference('s_sup+', [status(thm)], [zip_derived_cl1087, zip_derived_cl85])).
% 0.93/1.11 thf(zip_derived_cl198, plain, ((~ (big_p @ c4)) <= (~ ( (big_p @ c4)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl40])).
% 0.93/1.11 thf('51', plain,
% 0.93/1.11 (( (big_p @ (f2 @ c4))) |
% 0.93/1.11 ~ (![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))) | ( (big_p @ c4))),
% 0.93/1.11 inference('s_sup-', [status(thm)],
% 0.93/1.11 [zip_derived_cl1088, zip_derived_cl198])).
% 0.93/1.11 thf('52', plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))) | ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.93/1.11 thf('53', plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0)))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ X1) | (big_r @ X1 @ (f3 @ X1)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.93/1.11 thf('54', plain,
% 0.93/1.11 (( (big_p @ (f2 @ c2))) | ( (big_p @ c2)) |
% 0.93/1.11 ~ (![X0 : $i]: ( (big_p @ X0) | (big_p @ (f2 @ X0))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl988, zip_derived_cl221])).
% 0.93/1.11 thf('55', plain,
% 0.93/1.11 ((![X0 : $i]: ( (big_p @ X0) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))) | ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl6])).
% 0.93/1.11 thf('56', plain,
% 0.93/1.11 ((![X1 : $i]: ( (big_p @ X1) | (big_r @ (f1 @ X1) @ (f2 @ X1)))) |
% 0.93/1.11 (![X1 : $i]: ( (big_p @ (f4 @ X1)) | (big_p @ X1))) | ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl12])).
% 0.93/1.11 thf(clause_79, conjecture,
% 0.93/1.11 (~( ( big_r @ c4 @ c3 ) | ( ~( big_p @ c4 ) ) |
% 0.93/1.11 ( ~( big_r @ X10 @ X9 ) ) | ( ~( big_r @ c2 @ X10 ) ) |
% 0.93/1.11 ( ~( big_p @ X9 ) ) ))).
% 0.93/1.11 thf(zf_stmt_39, negated_conjecture,
% 0.93/1.11 (( big_r @ c4 @ c3 ) | ( ~( big_p @ c4 ) ) | ( ~( big_r @ X10 @ X9 ) ) |
% 0.93/1.11 ( ~( big_r @ c2 @ X10 ) ) | ( ~( big_p @ X9 ) )),
% 0.93/1.11 inference('cnf.neg', [status(esa)], [clause_79])).
% 0.93/1.11 thf(zip_derived_cl78, plain,
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 ( (big_r @ c4 @ c3)
% 0.93/1.11 | ~ (big_p @ c4)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | ~ (big_r @ c2 @ X0)
% 0.93/1.11 | ~ (big_p @ X1))),
% 0.93/1.11 inference('cnf', [status(esa)], [zf_stmt_39])).
% 0.93/1.11 thf('57', plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | ~ (big_r @ c2 @ X0))) |
% 0.93/1.11 ~ ( (big_p @ c4))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl78])).
% 0.93/1.11 thf('58', plain,
% 0.93/1.11 ((![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))) |
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ a))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl23])).
% 0.93/1.11 thf(zip_derived_cl194, plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)) <= (( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl38])).
% 0.93/1.11 thf(zip_derived_cl94, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.93/1.11 thf(zip_derived_cl509, plain,
% 0.93/1.11 (((~ (big_p @ c3) | (big_p @ (f6 @ c4))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1))) &
% 0.93/1.11 ( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl94])).
% 0.93/1.11 thf('59', plain,
% 0.93/1.11 (( (big_p @ (f6 @ c4))) | ~ ( (big_r @ c4 @ c3)) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | (big_p @ (f6 @ X0)) | ~ (big_r @ X0 @ X1))) |
% 0.93/1.11 ~ ( (big_p @ c3))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl509])).
% 0.93/1.11 thf(zip_derived_cl194, plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)) <= (( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl38])).
% 0.93/1.11 thf(zip_derived_cl97, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f5 @ X0))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f5 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.93/1.11 thf(zip_derived_cl510, plain,
% 0.93/1.11 (((~ (big_p @ c3) | (big_r @ c4 @ (f5 @ c4))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f5 @ X0)))) &
% 0.93/1.11 ( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl97])).
% 0.93/1.11 thf('60', plain,
% 0.93/1.11 (( (big_r @ c4 @ (f5 @ c4))) | ~ ( (big_r @ c4 @ c3)) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f5 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ c3))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl510])).
% 0.93/1.11 thf(zip_derived_cl194, plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)) <= (( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl38])).
% 0.93/1.11 thf(zip_derived_cl100, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.93/1.11 thf(zip_derived_cl511, plain,
% 0.93/1.11 (((~ (big_p @ c3) | (big_r @ (f5 @ c4) @ (f6 @ c4))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))) &
% 0.93/1.11 ( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl100])).
% 0.93/1.11 thf('61', plain,
% 0.93/1.11 (~ ( (big_r @ c4 @ c3)) | ( (big_r @ (f5 @ c4) @ (f6 @ c4))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ (f5 @ X0) @ (f6 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ c3))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl511])).
% 0.93/1.11 thf(zip_derived_cl974, plain,
% 0.93/1.11 (( (big_r @ (f5 @ c4) @ (f6 @ c4)))
% 0.93/1.11 <= (( (big_r @ (f5 @ c4) @ (f6 @ c4))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl511])).
% 0.93/1.11 thf(zip_derived_cl196, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.93/1.11 thf(zip_derived_cl981, plain,
% 0.93/1.11 (((~ (big_p @ (f6 @ c4)) | ~ (big_r @ c4 @ (f5 @ c4))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))) &
% 0.93/1.11 ( (big_r @ (f5 @ c4) @ (f6 @ c4))))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl974, zip_derived_cl196])).
% 0.93/1.11 thf('62', plain,
% 0.93/1.11 (~ ( (big_r @ (f5 @ c4) @ (f6 @ c4))) | ~ ( (big_r @ c4 @ (f5 @ c4))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))) |
% 0.93/1.11 ~ ( (big_p @ (f6 @ c4)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl981])).
% 0.93/1.11 thf(zip_derived_cl194, plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)) <= (( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl38])).
% 0.93/1.11 thf(zip_derived_cl139, plain,
% 0.93/1.11 ((![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2)))
% 0.93/1.11 <= ((![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl18])).
% 0.93/1.11 thf(zip_derived_cl677, plain,
% 0.93/1.11 ((( (big_p @ (f2 @ c4)) | ~ (big_p @ c3)))
% 0.93/1.11 <= ((![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))) &
% 0.93/1.11 ( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl139])).
% 0.93/1.11 thf('63', plain,
% 0.93/1.11 (( (big_p @ (f2 @ c4))) | ~ ( (big_r @ c4 @ c3)) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X2 : $i]:
% 0.93/1.11 ( (big_p @ (f2 @ X0)) | ~ (big_p @ X2) | ~ (big_r @ X0 @ X2))) |
% 0.93/1.11 ~ ( (big_p @ c3))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl677])).
% 0.93/1.11 thf(zip_derived_cl194, plain,
% 0.93/1.11 (( (big_r @ c4 @ c3)) <= (( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl38])).
% 0.93/1.11 thf(zip_derived_cl157, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f1 @ X0))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f1 @ X0)))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl24])).
% 0.93/1.11 thf(zip_derived_cl728, plain,
% 0.93/1.11 (((~ (big_p @ c3) | (big_r @ c4 @ (f1 @ c4))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | ~ (big_r @ X0 @ X1)
% 0.93/1.11 | (big_r @ X0 @ (f1 @ X0)))) &
% 0.93/1.11 ( (big_r @ c4 @ c3)))),
% 0.93/1.11 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl157])).
% 0.93/1.11 thf('64', plain,
% 0.93/1.11 (( (big_r @ c4 @ (f1 @ c4))) | ~ ( (big_r @ c4 @ c3)) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X1) | ~ (big_r @ X0 @ X1) | (big_r @ X0 @ (f1 @ X0)))) |
% 0.93/1.11 ~ ( (big_p @ c3))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl728])).
% 0.93/1.11 thf('65', plain,
% 0.93/1.11 (~ ( (big_r @ c4 @ c3)) | ( (big_r @ (f1 @ c4) @ (f2 @ c4))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X1 : $i, X2 : $i]:
% 0.93/1.11 (~ (big_p @ X1)
% 0.93/1.11 | (big_r @ (f1 @ X2) @ (f2 @ X2))
% 0.93/1.11 | ~ (big_r @ X2 @ X1))) |
% 0.93/1.11 ~ ( (big_p @ c3))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl803])).
% 0.93/1.11 thf(zip_derived_cl1062, plain,
% 0.93/1.11 (( (big_r @ (f1 @ c4) @ (f2 @ c4)))
% 0.93/1.11 <= (( (big_r @ (f1 @ c4) @ (f2 @ c4))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl803])).
% 0.93/1.11 thf(zip_derived_cl196, plain,
% 0.93/1.11 ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1)))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.93/1.11 thf(zip_derived_cl1069, plain,
% 0.93/1.11 (((~ (big_p @ (f2 @ c4)) | ~ (big_r @ c4 @ (f1 @ c4))))
% 0.93/1.11 <= ((![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))) &
% 0.93/1.11 ( (big_r @ (f1 @ c4) @ (f2 @ c4))))),
% 0.93/1.11 inference('s_sup-', [status(thm)],
% 0.93/1.11 [zip_derived_cl1062, zip_derived_cl196])).
% 0.93/1.11 thf('66', plain,
% 0.93/1.11 (~ ( (big_r @ (f1 @ c4) @ (f2 @ c4))) | ~ ( (big_p @ (f2 @ c4))) |
% 0.93/1.11 ~
% 0.93/1.11 (![X0 : $i, X1 : $i]:
% 0.93/1.11 (~ (big_p @ X0) | ~ (big_r @ X1 @ X0) | ~ (big_r @ c4 @ X1))) |
% 0.93/1.11 ~ ( (big_r @ c4 @ (f1 @ c4)))),
% 0.93/1.11 inference('split', [status(esa)], [zip_derived_cl1069])).
% 0.93/1.11 thf(zip_derived_cl1296, plain, ($false),
% 0.93/1.11 inference('sat_resolution*', [status(thm)],
% 0.93/1.11 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.93/1.11 '12', '13', '14', '15', '16', '17', '50', '51', '52', '53',
% 0.93/1.11 '33', '54', '35', '36', '55', '38', '39', '56', '41', '43',
% 0.93/1.11 '44', '57', '58', '19', '20', '24', '25', '28', '59', '60',
% 0.93/1.11 '61', '62', '63', '64', '65', '22', '23', '29', '42', '66'])).
% 0.93/1.11
% 0.93/1.11 % SZS output end Refutation
% 0.93/1.11
% 0.93/1.11
% 0.93/1.11 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.93/1.11 % Terminating...
% 0.96/1.19 % Runner terminated.
% 0.96/1.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------