TSTP Solution File: SYN036-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9v4zCI4av0 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 04:01:11 EDT 2023
% Result : Unsatisfiable 0.62s 0.93s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN036-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9v4zCI4av0 true
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 17:27:32 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.24/0.69 % Total configuration time : 435
% 0.24/0.69 % Estimated wc time : 1092
% 0.24/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.93 % Solved by fo/fo1_av.sh.
% 0.62/0.93 % done 905 iterations in 0.133s
% 0.62/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.93 % SZS output start Refutation
% 0.62/0.93 thf(c15_type, type, c15: $i).
% 0.62/0.93 thf(c4_type, type, c4: $i).
% 0.62/0.93 thf(c11_type, type, c11: $i).
% 0.62/0.93 thf(c14_type, type, c14: $i).
% 0.62/0.93 thf(c6_type, type, c6: $i).
% 0.62/0.93 thf(c1_type, type, c1: $i).
% 0.62/0.93 thf(big_p_type, type, big_p: $i > $o).
% 0.62/0.93 thf(f1_type, type, f1: $i > $i).
% 0.62/0.93 thf(c20_type, type, c20: $i).
% 0.62/0.93 thf(c8_type, type, c8: $i).
% 0.62/0.93 thf(c9_type, type, c9: $i).
% 0.62/0.93 thf(big_q_type, type, big_q: $i > $o).
% 0.62/0.93 thf(c3_type, type, c3: $i).
% 0.62/0.93 thf(f4_type, type, f4: $i > $i).
% 0.62/0.93 thf(c19_type, type, c19: $i).
% 0.62/0.93 thf(f3_type, type, f3: $i > $i).
% 0.62/0.93 thf(c2_type, type, c2: $i).
% 0.62/0.93 thf(f2_type, type, f2: $i > $i).
% 0.62/0.93 thf(c7_type, type, c7: $i).
% 0.62/0.93 thf(c16_type, type, c16: $i).
% 0.62/0.93 thf(clause_49, conjecture,
% 0.62/0.93 (~( ( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ X3 ) | ( big_q @ c4 ) |
% 0.62/0.93 ( ~( big_p @ Y ) ) | ( big_p @ c3 ) ))).
% 0.62/0.93 thf(zf_stmt_0, negated_conjecture,
% 0.62/0.93 (( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ X3 ) | ( big_q @ c4 ) |
% 0.62/0.93 ( ~( big_p @ Y ) ) | ( big_p @ c3 )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_49])).
% 0.62/0.93 thf(zip_derived_cl48, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ X2)
% 0.62/0.93 | (big_q @ (f2 @ X2))
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | (big_q @ c4)
% 0.62/0.93 | ~ (big_p @ X4)
% 0.62/0.93 | (big_p @ c3))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.62/0.93 thf('0', plain,
% 0.62/0.93 (( (big_p @ c3)) |
% 0.62/0.93 (![X2 : $i]: ( (big_q @ X2) | (big_q @ (f2 @ X2)))) |
% 0.62/0.93 (![X1 : $i]: ~ (big_p @ X1)) | (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 (![X3 : $i]: (big_p @ X3)) | ( (big_q @ c4))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl48])).
% 0.62/0.93 thf(clause_123, conjecture,
% 0.62/0.93 (~( ( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( ~( big_q @ c16 ) ) |
% 0.62/0.93 ( big_q @ X13 ) | ( ~( big_p @ c15 ) ) | ( ~( big_q @ X12 ) ) |
% 0.62/0.93 ( ~( big_p @ ( f3 @ X10 ) ) ) | ( ~( big_p @ X10 ) ) ))).
% 0.62/0.93 thf(zf_stmt_1, negated_conjecture,
% 0.62/0.93 (( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( ~( big_q @ c16 ) ) |
% 0.62/0.93 ( big_q @ X13 ) | ( ~( big_p @ c15 ) ) | ( ~( big_q @ X12 ) ) |
% 0.62/0.93 ( ~( big_p @ ( f3 @ X10 ) ) ) | ( ~( big_p @ X10 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_123])).
% 0.62/0.93 thf(zip_derived_cl122, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | ~ (big_q @ c16)
% 0.62/0.93 | (big_q @ X2)
% 0.62/0.93 | ~ (big_p @ c15)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | ~ (big_p @ (f3 @ X4))
% 0.62/0.93 | ~ (big_p @ X4))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.62/0.93 thf('1', plain,
% 0.62/0.93 (~ ( (big_q @ c16)) | ~ ( (big_p @ c15)) | (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 (![X1 : $i]: ~ (big_p @ X1)) | (![X4 : $i]: ~ (big_q @ X4)) |
% 0.62/0.93 (![X4 : $i]: (~ (big_p @ X4) | ~ (big_p @ (f3 @ X4))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl122])).
% 0.62/0.93 thf(clause_5, conjecture,
% 0.62/0.93 (~( ( big_q @ X5 ) | ( big_p @ c9 ) | ( big_q @ c8 ) |
% 0.62/0.93 ( ~( big_q @ Z ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X ) ))).
% 0.62/0.93 thf(zf_stmt_2, negated_conjecture,
% 0.62/0.93 (( big_q @ X5 ) | ( big_p @ c9 ) | ( big_q @ c8 ) | ( ~( big_q @ Z ) ) |
% 0.62/0.93 ( big_p @ V ) | ( ~( big_q @ U ) ) | ( big_p @ ( f1 @ X ) ) |
% 0.62/0.93 ( big_p @ X )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_5])).
% 0.62/0.93 thf(zip_derived_cl4, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | (big_p @ c9)
% 0.62/0.93 | (big_q @ c8)
% 0.62/0.93 | ~ (big_q @ X1)
% 0.62/0.93 | (big_p @ X2)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | (big_p @ (f1 @ X4))
% 0.62/0.93 | (big_p @ X4))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.62/0.93 thf('2', plain,
% 0.62/0.93 (( (big_q @ c8)) |
% 0.62/0.93 (![X5 : $i]: ( (big_p @ (f1 @ X5)) | (big_p @ X5))) |
% 0.62/0.93 (![X4 : $i]: ~ (big_q @ X4)) | (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 (![X3 : $i]: (big_p @ X3)) | ( (big_p @ c9))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.62/0.93 thf(clause_69, conjecture,
% 0.62/0.93 (~( ( big_q @ X17 ) | ( big_p @ c19 ) | ( big_q @ X16 ) |
% 0.62/0.93 ( big_q @ ( f4 @ X16 ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) ) ))).
% 0.62/0.93 thf(zf_stmt_3, negated_conjecture,
% 0.62/0.93 (( big_q @ X17 ) | ( big_p @ c19 ) | ( big_q @ X16 ) |
% 0.62/0.93 ( big_q @ ( f4 @ X16 ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_69])).
% 0.62/0.93 thf(zip_derived_cl68, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | (big_p @ c19)
% 0.62/0.93 | (big_q @ X1)
% 0.62/0.93 | (big_q @ (f4 @ X1))
% 0.62/0.93 | (big_p @ X2)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | (big_p @ X4)
% 0.62/0.93 | ~ (big_p @ c11))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.62/0.93 thf(zip_derived_cl611, plain,
% 0.62/0.93 ((![X1 : $i]: ( (big_q @ X1) | (big_q @ (f4 @ X1))))
% 0.62/0.93 <= ((![X1 : $i]: ( (big_q @ X1) | (big_q @ (f4 @ X1)))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl68])).
% 0.62/0.93 thf(clause_1, conjecture,
% 0.62/0.93 (~( ( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X ) ))).
% 0.62/0.93 thf(zf_stmt_4, negated_conjecture,
% 0.62/0.93 (( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_1])).
% 0.62/0.93 thf(zip_derived_cl0, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ X2)
% 0.62/0.93 | (big_q @ (f2 @ X2))
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | ~ (big_q @ X4)
% 0.62/0.93 | (big_p @ (f1 @ X5))
% 0.62/0.93 | (big_p @ X5))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.62/0.93 thf(zip_derived_cl129, plain,
% 0.62/0.93 ((![X4 : $i]: ~ (big_q @ X4)) <= ((![X4 : $i]: ~ (big_q @ X4)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(zip_derived_cl1092, plain,
% 0.62/0.93 ((![X0 : $i]: (big_q @ X0))
% 0.62/0.93 <= ((![X4 : $i]: ~ (big_q @ X4)) &
% 0.62/0.93 (![X1 : $i]: ( (big_q @ X1) | (big_q @ (f4 @ X1)))))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl611, zip_derived_cl129])).
% 0.62/0.93 thf(zip_derived_cl129, plain,
% 0.62/0.93 ((![X4 : $i]: ~ (big_q @ X4)) <= ((![X4 : $i]: ~ (big_q @ X4)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('3', plain,
% 0.62/0.93 (~ (![X1 : $i]: ( (big_q @ X1) | (big_q @ (f4 @ X1)))) |
% 0.62/0.93 ~ (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('s_sup-', [status(thm)],
% 0.62/0.93 [zip_derived_cl1092, zip_derived_cl129])).
% 0.62/0.93 thf(clause_97, conjecture,
% 0.62/0.93 (~( ( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( big_p @ X11 ) | ( big_q @ c14 ) |
% 0.62/0.93 ( big_p @ ( f3 @ X10 ) ) | ( big_p @ X10 ) ))).
% 0.62/0.93 thf(zf_stmt_5, negated_conjecture,
% 0.62/0.93 (( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( big_p @ X11 ) | ( big_q @ c14 ) |
% 0.62/0.93 ( big_p @ ( f3 @ X10 ) ) | ( big_p @ X10 )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_97])).
% 0.62/0.93 thf(zip_derived_cl96, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ c16)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | (big_q @ c14)
% 0.62/0.93 | (big_p @ (f3 @ X4))
% 0.62/0.93 | (big_p @ X4))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.62/0.93 thf(zip_derived_cl821, plain, (( (big_q @ c14)) <= (( (big_q @ c14)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl96])).
% 0.62/0.93 thf(zip_derived_cl129, plain,
% 0.62/0.93 ((![X4 : $i]: ~ (big_q @ X4)) <= ((![X4 : $i]: ~ (big_q @ X4)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('4', plain, (~ ( (big_q @ c14)) | ~ (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl821, zip_derived_cl129])).
% 0.62/0.93 thf(clause_101, conjecture,
% 0.62/0.93 (~( ( big_q @ X17 ) | ( big_p @ c19 ) | ( big_q @ X16 ) |
% 0.62/0.93 ( big_q @ ( f4 @ X16 ) ) | ( big_p @ X11 ) | ( big_q @ c14 ) |
% 0.62/0.93 ( big_p @ ( f3 @ X10 ) ) | ( big_p @ X10 ) ))).
% 0.62/0.93 thf(zf_stmt_6, negated_conjecture,
% 0.62/0.93 (( big_q @ X17 ) | ( big_p @ c19 ) | ( big_q @ X16 ) |
% 0.62/0.93 ( big_q @ ( f4 @ X16 ) ) | ( big_p @ X11 ) | ( big_q @ c14 ) |
% 0.62/0.93 ( big_p @ ( f3 @ X10 ) ) | ( big_p @ X10 )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_101])).
% 0.62/0.93 thf(zip_derived_cl100, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | (big_p @ c19)
% 0.62/0.93 | (big_q @ X1)
% 0.62/0.93 | (big_q @ (f4 @ X1))
% 0.62/0.93 | (big_p @ X2)
% 0.62/0.93 | (big_q @ c14)
% 0.62/0.93 | (big_p @ (f3 @ X3))
% 0.62/0.93 | (big_p @ X3))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.62/0.93 thf('5', plain,
% 0.62/0.93 ((![X1 : $i]: ( (big_q @ X1) | (big_q @ (f4 @ X1)))) |
% 0.62/0.93 ( (big_q @ c14)) | (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 (![X3 : $i]: (big_p @ X3)) | ( (big_p @ c19)) |
% 0.62/0.93 (![X4 : $i]: ( (big_p @ X4) | (big_p @ (f3 @ X4))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl100])).
% 0.62/0.93 thf(zip_derived_cl816, plain,
% 0.62/0.93 ((![X4 : $i]: ( (big_p @ X4) | (big_p @ (f3 @ X4))))
% 0.62/0.93 <= ((![X4 : $i]: ( (big_p @ X4) | (big_p @ (f3 @ X4)))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl96])).
% 0.62/0.93 thf(zip_derived_cl132, plain,
% 0.62/0.93 ((![X1 : $i]: ~ (big_p @ X1)) <= ((![X1 : $i]: ~ (big_p @ X1)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(zip_derived_cl1111, plain,
% 0.62/0.93 ((![X0 : $i]: (big_p @ X0))
% 0.62/0.93 <= ((![X1 : $i]: ~ (big_p @ X1)) &
% 0.62/0.93 (![X4 : $i]: ( (big_p @ X4) | (big_p @ (f3 @ X4)))))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl816, zip_derived_cl132])).
% 0.62/0.93 thf(clause_33, conjecture,
% 0.62/0.93 (~( ( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ X3 ) | ( big_q @ c4 ) |
% 0.62/0.93 ( big_p @ Y ) | ( ~( big_p @ c3 ) ) ))).
% 0.62/0.93 thf(zf_stmt_7, negated_conjecture,
% 0.62/0.93 (( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ X3 ) | ( big_q @ c4 ) |
% 0.62/0.93 ( big_p @ Y ) | ( ~( big_p @ c3 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_33])).
% 0.62/0.93 thf(zip_derived_cl32, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ X2)
% 0.62/0.93 | (big_q @ (f2 @ X2))
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | (big_q @ c4)
% 0.62/0.93 | (big_p @ X4)
% 0.62/0.93 | ~ (big_p @ c3))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.62/0.93 thf(zip_derived_cl341, plain, ((~ (big_p @ c3)) <= (~ ( (big_p @ c3)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl32])).
% 0.62/0.93 thf('6', plain,
% 0.62/0.93 (~ (![X4 : $i]: ( (big_p @ X4) | (big_p @ (f3 @ X4)))) |
% 0.62/0.93 ~ (![X1 : $i]: ~ (big_p @ X1)) | ( (big_p @ c3))),
% 0.62/0.93 inference('s_sup-', [status(thm)],
% 0.62/0.93 [zip_derived_cl1111, zip_derived_cl341])).
% 0.62/0.93 thf(zip_derived_cl613, plain, (( (big_p @ c19)) <= (( (big_p @ c19)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl68])).
% 0.62/0.93 thf(zip_derived_cl132, plain,
% 0.62/0.93 ((![X1 : $i]: ~ (big_p @ X1)) <= ((![X1 : $i]: ~ (big_p @ X1)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('7', plain, (~ ( (big_p @ c19)) | ~ (![X1 : $i]: ~ (big_p @ X1))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl613, zip_derived_cl132])).
% 0.62/0.93 thf(zip_derived_cl461, plain, (( (big_p @ c3)) <= (( (big_p @ c3)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl48])).
% 0.62/0.93 thf(zip_derived_cl132, plain,
% 0.62/0.93 ((![X1 : $i]: ~ (big_p @ X1)) <= ((![X1 : $i]: ~ (big_p @ X1)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('8', plain, (~ (![X1 : $i]: ~ (big_p @ X1)) | ~ ( (big_p @ c3))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl461, zip_derived_cl132])).
% 0.62/0.93 thf(zip_derived_cl158, plain, (( (big_p @ c9)) <= (( (big_p @ c9)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.62/0.93 thf(zip_derived_cl132, plain,
% 0.62/0.93 ((![X1 : $i]: ~ (big_p @ X1)) <= ((![X1 : $i]: ~ (big_p @ X1)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('9', plain, (~ ( (big_p @ c9)) | ~ (![X1 : $i]: ~ (big_p @ X1))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl132])).
% 0.62/0.93 thf(clause_7, conjecture,
% 0.62/0.93 (~( ( big_q @ X5 ) | ( big_p @ c9 ) | ( ~( big_q @ c8 ) ) |
% 0.62/0.93 ( big_q @ Z ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X ) ))).
% 0.62/0.93 thf(zf_stmt_8, negated_conjecture,
% 0.62/0.93 (( big_q @ X5 ) | ( big_p @ c9 ) | ( ~( big_q @ c8 ) ) | ( big_q @ Z ) |
% 0.62/0.93 ( big_p @ V ) | ( ~( big_q @ U ) ) | ( big_p @ ( f1 @ X ) ) |
% 0.62/0.93 ( big_p @ X )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_7])).
% 0.62/0.93 thf(zip_derived_cl6, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | (big_p @ c9)
% 0.62/0.93 | ~ (big_q @ c8)
% 0.62/0.93 | (big_q @ X1)
% 0.62/0.93 | (big_p @ X2)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | (big_p @ (f1 @ X4))
% 0.62/0.93 | (big_p @ X4))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.62/0.93 thf('10', plain,
% 0.62/0.93 (~ ( (big_q @ c8)) |
% 0.62/0.93 (![X5 : $i]: ( (big_p @ (f1 @ X5)) | (big_p @ X5))) |
% 0.62/0.93 (![X0 : $i]: (big_q @ X0)) | (![X4 : $i]: ~ (big_q @ X4)) |
% 0.62/0.93 (![X3 : $i]: (big_p @ X3)) | ( (big_p @ c9))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl6])).
% 0.62/0.93 thf(clause_72, conjecture,
% 0.62/0.93 (~( ( ~( big_q @ c20 ) ) | ( ~( big_p @ X18 ) ) | ( ~( big_q @ X16 ) ) |
% 0.62/0.93 ( ~( big_q @ ( f4 @ X16 ) ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) ) ))).
% 0.62/0.93 thf(zf_stmt_9, negated_conjecture,
% 0.62/0.93 (( ~( big_q @ c20 ) ) | ( ~( big_p @ X18 ) ) | ( ~( big_q @ X16 ) ) |
% 0.62/0.93 ( ~( big_q @ ( f4 @ X16 ) ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_72])).
% 0.62/0.93 thf(zip_derived_cl71, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 (~ (big_q @ c20)
% 0.62/0.93 | ~ (big_p @ X0)
% 0.62/0.93 | ~ (big_q @ X1)
% 0.62/0.93 | ~ (big_q @ (f4 @ X1))
% 0.62/0.93 | (big_p @ X2)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | (big_p @ X4)
% 0.62/0.93 | ~ (big_p @ c11))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.62/0.93 thf('11', plain,
% 0.62/0.93 ((![X1 : $i]: (~ (big_q @ X1) | ~ (big_q @ (f4 @ X1)))) |
% 0.62/0.93 ~ ( (big_p @ c11)) | (![X1 : $i]: ~ (big_p @ X1)) |
% 0.62/0.93 (![X3 : $i]: (big_p @ X3)) | ~ ( (big_q @ c20)) |
% 0.62/0.93 (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.62/0.93 thf(zip_derived_cl132, plain,
% 0.62/0.93 ((![X1 : $i]: ~ (big_p @ X1)) <= ((![X1 : $i]: ~ (big_p @ X1)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(zip_derived_cl128, plain,
% 0.62/0.93 ((![X5 : $i]: ( (big_p @ (f1 @ X5)) | (big_p @ X5)))
% 0.62/0.93 <= ((![X5 : $i]: ( (big_p @ (f1 @ X5)) | (big_p @ X5))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(zip_derived_cl1024, plain,
% 0.62/0.93 ((![X0 : $i]: (big_p @ X0))
% 0.62/0.93 <= ((![X5 : $i]: ( (big_p @ (f1 @ X5)) | (big_p @ X5))) &
% 0.62/0.93 (![X1 : $i]: ~ (big_p @ X1)))),
% 0.62/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl128])).
% 0.62/0.93 thf(zip_derived_cl132, plain,
% 0.62/0.93 ((![X1 : $i]: ~ (big_p @ X1)) <= ((![X1 : $i]: ~ (big_p @ X1)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('12', plain,
% 0.62/0.93 (~ (![X5 : $i]: ( (big_p @ (f1 @ X5)) | (big_p @ X5))) |
% 0.62/0.93 ~ (![X1 : $i]: ~ (big_p @ X1))),
% 0.62/0.93 inference('s_sup-', [status(thm)],
% 0.62/0.93 [zip_derived_cl1024, zip_derived_cl132])).
% 0.62/0.93 thf(clause_2, conjecture,
% 0.62/0.93 (~( ( ~( big_q @ c7 ) ) | ( big_p @ c6 ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X ) ))).
% 0.62/0.93 thf(zf_stmt_10, negated_conjecture,
% 0.62/0.93 (( ~( big_q @ c7 ) ) | ( big_p @ c6 ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_2])).
% 0.62/0.93 thf(zip_derived_cl1, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.93 (~ (big_q @ c7)
% 0.62/0.93 | (big_p @ c6)
% 0.62/0.93 | (big_q @ X0)
% 0.62/0.93 | (big_q @ (f2 @ X0))
% 0.62/0.93 | (big_p @ X1)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | (big_p @ (f1 @ X3))
% 0.62/0.93 | (big_p @ X3))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.62/0.93 thf(zip_derived_cl138, plain, (( (big_p @ c6)) <= (( (big_p @ c6)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.62/0.93 thf(zip_derived_cl132, plain,
% 0.62/0.93 ((![X1 : $i]: ~ (big_p @ X1)) <= ((![X1 : $i]: ~ (big_p @ X1)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('13', plain, (~ ( (big_p @ c6)) | ~ (![X1 : $i]: ~ (big_p @ X1))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl138, zip_derived_cl132])).
% 0.62/0.93 thf(clause_4, conjecture,
% 0.62/0.93 (~( ( ~( big_q @ c7 ) ) | ( big_p @ c6 ) | ( ~( big_q @ W ) ) |
% 0.62/0.93 ( ~( big_q @ ( f2 @ W ) ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X ) ))).
% 0.62/0.93 thf(zf_stmt_11, negated_conjecture,
% 0.62/0.93 (( ~( big_q @ c7 ) ) | ( big_p @ c6 ) | ( ~( big_q @ W ) ) |
% 0.62/0.93 ( ~( big_q @ ( f2 @ W ) ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_4])).
% 0.62/0.93 thf(zip_derived_cl3, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.93 (~ (big_q @ c7)
% 0.62/0.93 | (big_p @ c6)
% 0.62/0.93 | ~ (big_q @ X0)
% 0.62/0.93 | ~ (big_q @ (f2 @ X0))
% 0.62/0.93 | (big_p @ X1)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | (big_p @ (f1 @ X3))
% 0.62/0.93 | (big_p @ X3))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.62/0.93 thf('14', plain,
% 0.62/0.93 (~ ( (big_q @ c7)) | ( (big_p @ c6)) | (![X4 : $i]: ~ (big_q @ X4)) |
% 0.62/0.93 (![X5 : $i]: ( (big_p @ (f1 @ X5)) | (big_p @ X5))) |
% 0.62/0.93 (![X3 : $i]: (big_p @ X3)) |
% 0.62/0.93 (![X2 : $i]: (~ (big_q @ X2) | ~ (big_q @ (f2 @ X2))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.62/0.93 thf(clause_128, conjecture,
% 0.62/0.93 (~( ( ~( big_q @ c20 ) ) | ( ~( big_p @ X18 ) ) | ( ~( big_q @ X16 ) ) |
% 0.62/0.93 ( ~( big_q @ ( f4 @ X16 ) ) ) | ( ~( big_p @ c15 ) ) |
% 0.62/0.93 ( ~( big_q @ X12 ) ) | ( ~( big_p @ ( f3 @ X10 ) ) ) |
% 0.62/0.93 ( ~( big_p @ X10 ) ) ))).
% 0.62/0.93 thf(zf_stmt_12, negated_conjecture,
% 0.62/0.93 (( ~( big_q @ c20 ) ) | ( ~( big_p @ X18 ) ) | ( ~( big_q @ X16 ) ) |
% 0.62/0.93 ( ~( big_q @ ( f4 @ X16 ) ) ) | ( ~( big_p @ c15 ) ) |
% 0.62/0.93 ( ~( big_q @ X12 ) ) | ( ~( big_p @ ( f3 @ X10 ) ) ) |
% 0.62/0.93 ( ~( big_p @ X10 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_128])).
% 0.62/0.93 thf(zip_derived_cl127, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.93 (~ (big_q @ c20)
% 0.62/0.93 | ~ (big_p @ X0)
% 0.62/0.93 | ~ (big_q @ X1)
% 0.62/0.93 | ~ (big_q @ (f4 @ X1))
% 0.62/0.93 | ~ (big_p @ c15)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | ~ (big_p @ (f3 @ X3))
% 0.62/0.93 | ~ (big_p @ X3))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.62/0.93 thf('15', plain,
% 0.62/0.93 ((![X1 : $i]: (~ (big_q @ X1) | ~ (big_q @ (f4 @ X1)))) |
% 0.62/0.93 ~ ( (big_q @ c20)) | ~ ( (big_p @ c15)) |
% 0.62/0.93 (![X4 : $i]: (~ (big_p @ X4) | ~ (big_p @ (f3 @ X4)))) |
% 0.62/0.93 (![X1 : $i]: ~ (big_p @ X1)) | (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl127])).
% 0.62/0.93 thf(zip_derived_cl133, plain,
% 0.62/0.93 ((![X0 : $i]: (big_q @ X0)) <= ((![X0 : $i]: (big_q @ X0)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(clause_71, conjecture,
% 0.62/0.93 (~( ( big_q @ X17 ) | ( big_p @ c19 ) | ( ~( big_q @ X16 ) ) |
% 0.62/0.93 ( ~( big_q @ ( f4 @ X16 ) ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) ) ))).
% 0.62/0.93 thf(zf_stmt_13, negated_conjecture,
% 0.62/0.93 (( big_q @ X17 ) | ( big_p @ c19 ) | ( ~( big_q @ X16 ) ) |
% 0.62/0.93 ( ~( big_q @ ( f4 @ X16 ) ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_71])).
% 0.62/0.93 thf(zip_derived_cl70, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | (big_p @ c19)
% 0.62/0.93 | ~ (big_q @ X1)
% 0.62/0.93 | ~ (big_q @ (f4 @ X1))
% 0.62/0.93 | (big_p @ X2)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | (big_p @ X4)
% 0.62/0.93 | ~ (big_p @ c11))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.62/0.93 thf(zip_derived_cl625, plain,
% 0.62/0.93 ((![X1 : $i]: (~ (big_q @ X1) | ~ (big_q @ (f4 @ X1))))
% 0.62/0.93 <= ((![X1 : $i]: (~ (big_q @ X1) | ~ (big_q @ (f4 @ X1)))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl70])).
% 0.62/0.93 thf(zip_derived_cl1089, plain,
% 0.62/0.93 ((![X0 : $i]: ~ (big_q @ X0))
% 0.62/0.93 <= ((![X0 : $i]: (big_q @ X0)) &
% 0.62/0.93 (![X1 : $i]: (~ (big_q @ X1) | ~ (big_q @ (f4 @ X1)))))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl625])).
% 0.62/0.93 thf(zip_derived_cl133, plain,
% 0.62/0.93 ((![X0 : $i]: (big_q @ X0)) <= ((![X0 : $i]: (big_q @ X0)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('16', plain,
% 0.62/0.93 (~ (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 ~ (![X1 : $i]: (~ (big_q @ X1) | ~ (big_q @ (f4 @ X1))))),
% 0.62/0.93 inference('demod', [status(thm)], [zip_derived_cl1089, zip_derived_cl133])).
% 0.62/0.93 thf(clause_70, conjecture,
% 0.62/0.93 (~( ( ~( big_q @ c20 ) ) | ( ~( big_p @ X18 ) ) | ( big_q @ X16 ) |
% 0.62/0.93 ( big_q @ ( f4 @ X16 ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) ) ))).
% 0.62/0.93 thf(zf_stmt_14, negated_conjecture,
% 0.62/0.93 (( ~( big_q @ c20 ) ) | ( ~( big_p @ X18 ) ) | ( big_q @ X16 ) |
% 0.62/0.93 ( big_q @ ( f4 @ X16 ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_70])).
% 0.62/0.93 thf(zip_derived_cl69, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 (~ (big_q @ c20)
% 0.62/0.93 | ~ (big_p @ X0)
% 0.62/0.93 | (big_q @ X1)
% 0.62/0.93 | (big_q @ (f4 @ X1))
% 0.62/0.93 | (big_p @ X2)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | (big_p @ X4)
% 0.62/0.93 | ~ (big_p @ c11))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.62/0.93 thf(zip_derived_cl620, plain, ((~ (big_q @ c20)) <= (~ ( (big_q @ c20)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl69])).
% 0.62/0.93 thf(zip_derived_cl133, plain,
% 0.62/0.93 ((![X0 : $i]: (big_q @ X0)) <= ((![X0 : $i]: (big_q @ X0)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('17', plain, (( (big_q @ c20)) | ~ (![X0 : $i]: (big_q @ X0))),
% 0.62/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl620, zip_derived_cl133])).
% 0.62/0.93 thf(zip_derived_cl133, plain,
% 0.62/0.93 ((![X0 : $i]: (big_q @ X0)) <= ((![X0 : $i]: (big_q @ X0)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(clause_3, conjecture,
% 0.62/0.93 (~( ( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( ~( big_q @ W ) ) |
% 0.62/0.93 ( ~( big_q @ ( f2 @ W ) ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X ) ))).
% 0.62/0.93 thf(zf_stmt_15, negated_conjecture,
% 0.62/0.93 (( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( ~( big_q @ W ) ) |
% 0.62/0.93 ( ~( big_q @ ( f2 @ W ) ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_3])).
% 0.62/0.93 thf(zip_derived_cl2, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | ~ (big_q @ (f2 @ X2))
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | ~ (big_q @ X4)
% 0.62/0.93 | (big_p @ (f1 @ X5))
% 0.62/0.93 | (big_p @ X5))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.62/0.93 thf(zip_derived_cl143, plain,
% 0.62/0.93 ((![X2 : $i]: (~ (big_q @ X2) | ~ (big_q @ (f2 @ X2))))
% 0.62/0.93 <= ((![X2 : $i]: (~ (big_q @ X2) | ~ (big_q @ (f2 @ X2)))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.62/0.93 thf(zip_derived_cl1050, plain,
% 0.62/0.93 ((![X0 : $i]: ~ (big_q @ X0))
% 0.62/0.93 <= ((![X0 : $i]: (big_q @ X0)) &
% 0.62/0.93 (![X2 : $i]: (~ (big_q @ X2) | ~ (big_q @ (f2 @ X2)))))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl143])).
% 0.62/0.93 thf(zip_derived_cl133, plain,
% 0.62/0.93 ((![X0 : $i]: (big_q @ X0)) <= ((![X0 : $i]: (big_q @ X0)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('18', plain,
% 0.62/0.93 (~ (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 ~ (![X2 : $i]: (~ (big_q @ X2) | ~ (big_q @ (f2 @ X2))))),
% 0.62/0.93 inference('demod', [status(thm)], [zip_derived_cl1050, zip_derived_cl133])).
% 0.62/0.93 thf(zip_derived_cl133, plain,
% 0.62/0.93 ((![X0 : $i]: (big_q @ X0)) <= ((![X0 : $i]: (big_q @ X0)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(zip_derived_cl139, plain, ((~ (big_q @ c7)) <= (~ ( (big_q @ c7)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.62/0.93 thf('19', plain, (~ (![X0 : $i]: (big_q @ X0)) | ( (big_q @ c7))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl139])).
% 0.62/0.93 thf(zip_derived_cl133, plain,
% 0.62/0.93 ((![X0 : $i]: (big_q @ X0)) <= ((![X0 : $i]: (big_q @ X0)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(zip_derived_cl129, plain,
% 0.62/0.93 ((![X4 : $i]: ~ (big_q @ X4)) <= ((![X4 : $i]: ~ (big_q @ X4)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('20', plain,
% 0.62/0.93 (~ (![X0 : $i]: (big_q @ X0)) | ~ (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl133, zip_derived_cl129])).
% 0.62/0.93 thf(clause_88, conjecture,
% 0.62/0.93 (~( ( ~( big_q @ c20 ) ) | ( ~( big_p @ X18 ) ) | ( ~( big_q @ X16 ) ) |
% 0.62/0.93 ( ~( big_q @ ( f4 @ X16 ) ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( ~( big_p @ X7 ) ) | ( big_p @ c11 ) ))).
% 0.62/0.93 thf(zf_stmt_16, negated_conjecture,
% 0.62/0.93 (( ~( big_q @ c20 ) ) | ( ~( big_p @ X18 ) ) | ( ~( big_q @ X16 ) ) |
% 0.62/0.93 ( ~( big_q @ ( f4 @ X16 ) ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( ~( big_p @ X7 ) ) | ( big_p @ c11 )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_88])).
% 0.62/0.93 thf(zip_derived_cl87, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 (~ (big_q @ c20)
% 0.62/0.93 | ~ (big_p @ X0)
% 0.62/0.93 | ~ (big_q @ X1)
% 0.62/0.93 | ~ (big_q @ (f4 @ X1))
% 0.62/0.93 | (big_p @ X2)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | ~ (big_p @ X4)
% 0.62/0.93 | (big_p @ c11))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.62/0.93 thf('21', plain,
% 0.62/0.93 (( (big_p @ c11)) | ~ ( (big_q @ c20)) | (![X1 : $i]: ~ (big_p @ X1)) |
% 0.62/0.93 (![X1 : $i]: (~ (big_q @ X1) | ~ (big_q @ (f4 @ X1)))) |
% 0.62/0.93 (![X4 : $i]: ~ (big_q @ X4)) | (![X3 : $i]: (big_p @ X3))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl87])).
% 0.62/0.93 thf(clause_9, conjecture,
% 0.62/0.93 (~( ( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( ~( big_p @ c2 ) ) | ( big_q @ c1 ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X ) ))).
% 0.62/0.93 thf(zf_stmt_17, negated_conjecture,
% 0.62/0.93 (( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( ~( big_p @ c2 ) ) | ( big_q @ c1 ) |
% 0.62/0.93 ( big_p @ ( f1 @ X ) ) | ( big_p @ X )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_9])).
% 0.62/0.93 thf(zip_derived_cl8, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ X2)
% 0.62/0.93 | (big_q @ (f2 @ X2))
% 0.62/0.93 | ~ (big_p @ c2)
% 0.62/0.93 | (big_q @ c1)
% 0.62/0.93 | (big_p @ (f1 @ X3))
% 0.62/0.93 | (big_p @ X3))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.62/0.93 thf(zip_derived_cl184, plain, (( (big_q @ c1)) <= (( (big_q @ c1)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.93 thf(zip_derived_cl129, plain,
% 0.62/0.93 ((![X4 : $i]: ~ (big_q @ X4)) <= ((![X4 : $i]: ~ (big_q @ X4)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('22', plain, (~ ( (big_q @ c1)) | ~ (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl184, zip_derived_cl129])).
% 0.62/0.93 thf(zip_derived_cl130, plain,
% 0.62/0.93 ((![X3 : $i]: (big_p @ X3)) <= ((![X3 : $i]: (big_p @ X3)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(clause_17, conjecture,
% 0.62/0.93 (~( ( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( ~( big_p @ ( f1 @ X ) ) ) | ( ~( big_p @ X ) ) ))).
% 0.62/0.93 thf(zf_stmt_18, negated_conjecture,
% 0.62/0.93 (( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( big_p @ V ) | ( ~( big_q @ U ) ) |
% 0.62/0.93 ( ~( big_p @ ( f1 @ X ) ) ) | ( ~( big_p @ X ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_17])).
% 0.62/0.93 thf(zip_derived_cl16, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ X2)
% 0.62/0.93 | (big_q @ (f2 @ X2))
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | ~ (big_q @ X4)
% 0.62/0.93 | ~ (big_p @ (f1 @ X5))
% 0.62/0.93 | ~ (big_p @ X5))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.62/0.93 thf(zip_derived_cl232, plain,
% 0.62/0.93 ((![X5 : $i]: (~ (big_p @ (f1 @ X5)) | ~ (big_p @ X5)))
% 0.62/0.93 <= ((![X5 : $i]: (~ (big_p @ (f1 @ X5)) | ~ (big_p @ X5))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl16])).
% 0.62/0.93 thf(zip_derived_cl1073, plain,
% 0.62/0.93 ((![X0 : $i]: ~ (big_p @ X0))
% 0.62/0.93 <= ((![X3 : $i]: (big_p @ X3)) &
% 0.62/0.93 (![X5 : $i]: (~ (big_p @ (f1 @ X5)) | ~ (big_p @ X5))))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl232])).
% 0.62/0.93 thf(zip_derived_cl130, plain,
% 0.62/0.93 ((![X3 : $i]: (big_p @ X3)) <= ((![X3 : $i]: (big_p @ X3)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('23', plain,
% 0.62/0.93 (~ (![X5 : $i]: (~ (big_p @ (f1 @ X5)) | ~ (big_p @ X5))) |
% 0.62/0.93 ~ (![X3 : $i]: (big_p @ X3))),
% 0.62/0.93 inference('demod', [status(thm)], [zip_derived_cl1073, zip_derived_cl130])).
% 0.62/0.93 thf(zip_derived_cl185, plain, ((~ (big_p @ c2)) <= (~ ( (big_p @ c2)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.62/0.93 thf(zip_derived_cl130, plain,
% 0.62/0.93 ((![X3 : $i]: (big_p @ X3)) <= ((![X3 : $i]: (big_p @ X3)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('24', plain, (( (big_p @ c2)) | ~ (![X3 : $i]: (big_p @ X3))),
% 0.62/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl185, zip_derived_cl130])).
% 0.62/0.93 thf(zip_derived_cl130, plain,
% 0.62/0.93 ((![X3 : $i]: (big_p @ X3)) <= ((![X3 : $i]: (big_p @ X3)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(zip_derived_cl132, plain,
% 0.62/0.93 ((![X1 : $i]: ~ (big_p @ X1)) <= ((![X1 : $i]: ~ (big_p @ X1)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('25', plain,
% 0.62/0.93 (~ (![X1 : $i]: ~ (big_p @ X1)) | ~ (![X3 : $i]: (big_p @ X3))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl132])).
% 0.62/0.93 thf(clause_25, conjecture,
% 0.62/0.93 (~( ( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( ~( big_p @ c2 ) ) | ( big_q @ c1 ) |
% 0.62/0.93 ( ~( big_p @ ( f1 @ X ) ) ) | ( ~( big_p @ X ) ) ))).
% 0.62/0.93 thf(zf_stmt_19, negated_conjecture,
% 0.62/0.93 (( big_q @ X2 ) | ( ~( big_p @ X1 ) ) | ( big_q @ W ) |
% 0.62/0.93 ( big_q @ ( f2 @ W ) ) | ( ~( big_p @ c2 ) ) | ( big_q @ c1 ) |
% 0.62/0.93 ( ~( big_p @ ( f1 @ X ) ) ) | ( ~( big_p @ X ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_25])).
% 0.62/0.93 thf(zip_derived_cl24, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ X2)
% 0.62/0.93 | (big_q @ (f2 @ X2))
% 0.62/0.93 | ~ (big_p @ c2)
% 0.62/0.93 | (big_q @ c1)
% 0.62/0.93 | ~ (big_p @ (f1 @ X3))
% 0.62/0.93 | ~ (big_p @ X3))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.62/0.93 thf('26', plain,
% 0.62/0.93 (( (big_q @ c1)) | ~ ( (big_p @ c2)) | (![X1 : $i]: ~ (big_p @ X1)) |
% 0.62/0.93 (![X2 : $i]: ( (big_q @ X2) | (big_q @ (f2 @ X2)))) |
% 0.62/0.93 (![X5 : $i]: (~ (big_p @ (f1 @ X5)) | ~ (big_p @ X5))) |
% 0.62/0.93 (![X0 : $i]: (big_q @ X0))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl24])).
% 0.62/0.93 thf(zip_derived_cl130, plain,
% 0.62/0.93 ((![X3 : $i]: (big_p @ X3)) <= ((![X3 : $i]: (big_p @ X3)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(clause_113, conjecture,
% 0.62/0.93 (~( ( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( big_p @ X11 ) | ( big_q @ c14 ) |
% 0.62/0.93 ( ~( big_p @ ( f3 @ X10 ) ) ) | ( ~( big_p @ X10 ) ) ))).
% 0.62/0.93 thf(zf_stmt_20, negated_conjecture,
% 0.62/0.93 (( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( big_p @ X11 ) | ( big_q @ c14 ) |
% 0.62/0.93 ( ~( big_p @ ( f3 @ X10 ) ) ) | ( ~( big_p @ X10 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_113])).
% 0.62/0.93 thf(zip_derived_cl112, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ c16)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | (big_q @ c14)
% 0.62/0.93 | ~ (big_p @ (f3 @ X4))
% 0.62/0.93 | ~ (big_p @ X4))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.62/0.93 thf(zip_derived_cl920, plain,
% 0.62/0.93 ((![X4 : $i]: (~ (big_p @ X4) | ~ (big_p @ (f3 @ X4))))
% 0.62/0.93 <= ((![X4 : $i]: (~ (big_p @ X4) | ~ (big_p @ (f3 @ X4)))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl112])).
% 0.62/0.93 thf(zip_derived_cl1108, plain,
% 0.62/0.93 ((![X0 : $i]: ~ (big_p @ X0))
% 0.62/0.93 <= ((![X3 : $i]: (big_p @ X3)) &
% 0.62/0.93 (![X4 : $i]: (~ (big_p @ X4) | ~ (big_p @ (f3 @ X4)))))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl130, zip_derived_cl920])).
% 0.62/0.93 thf(zip_derived_cl130, plain,
% 0.62/0.93 ((![X3 : $i]: (big_p @ X3)) <= ((![X3 : $i]: (big_p @ X3)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('27', plain,
% 0.62/0.93 (~ (![X4 : $i]: (~ (big_p @ X4) | ~ (big_p @ (f3 @ X4)))) |
% 0.62/0.93 ~ (![X3 : $i]: (big_p @ X3))),
% 0.62/0.93 inference('demod', [status(thm)], [zip_derived_cl1108, zip_derived_cl130])).
% 0.62/0.93 thf(clause_105, conjecture,
% 0.62/0.93 (~( ( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( ~( big_p @ c15 ) ) | ( ~( big_q @ X12 ) ) |
% 0.62/0.93 ( big_p @ ( f3 @ X10 ) ) | ( big_p @ X10 ) ))).
% 0.62/0.93 thf(zf_stmt_21, negated_conjecture,
% 0.62/0.93 (( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( ~( big_p @ c15 ) ) | ( ~( big_q @ X12 ) ) |
% 0.62/0.93 ( big_p @ ( f3 @ X10 ) ) | ( big_p @ X10 )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_105])).
% 0.62/0.93 thf(zip_derived_cl104, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ c16)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | ~ (big_p @ c15)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | (big_p @ (f3 @ X4))
% 0.62/0.93 | (big_p @ X4))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.62/0.93 thf(zip_derived_cl873, plain, ((~ (big_p @ c15)) <= (~ ( (big_p @ c15)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl104])).
% 0.62/0.93 thf(zip_derived_cl130, plain,
% 0.62/0.93 ((![X3 : $i]: (big_p @ X3)) <= ((![X3 : $i]: (big_p @ X3)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('28', plain, (( (big_p @ c15)) | ~ (![X3 : $i]: (big_p @ X3))),
% 0.62/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl873, zip_derived_cl130])).
% 0.62/0.93 thf(clause_121, conjecture,
% 0.62/0.93 (~( ( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( ~( big_p @ c15 ) ) | ( ~( big_q @ X12 ) ) |
% 0.62/0.93 ( ~( big_p @ ( f3 @ X10 ) ) ) | ( ~( big_p @ X10 ) ) ))).
% 0.62/0.93 thf(zf_stmt_22, negated_conjecture,
% 0.62/0.93 (( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( ~( big_p @ c15 ) ) | ( ~( big_q @ X12 ) ) |
% 0.62/0.93 ( ~( big_p @ ( f3 @ X10 ) ) ) | ( ~( big_p @ X10 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_121])).
% 0.62/0.93 thf(zip_derived_cl120, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ c16)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | ~ (big_p @ c15)
% 0.62/0.93 | ~ (big_q @ X3)
% 0.62/0.93 | ~ (big_p @ (f3 @ X4))
% 0.62/0.93 | ~ (big_p @ X4))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_22])).
% 0.62/0.93 thf('29', plain,
% 0.62/0.93 (( (big_q @ c16)) | ~ ( (big_p @ c15)) | (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 (![X4 : $i]: ~ (big_q @ X4)) | (![X1 : $i]: ~ (big_p @ X1)) |
% 0.62/0.93 (![X4 : $i]: (~ (big_p @ X4) | ~ (big_p @ (f3 @ X4))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl120])).
% 0.62/0.93 thf(zip_derived_cl342, plain, (( (big_q @ c4)) <= (( (big_q @ c4)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl32])).
% 0.62/0.93 thf(zip_derived_cl129, plain,
% 0.62/0.93 ((![X4 : $i]: ~ (big_q @ X4)) <= ((![X4 : $i]: ~ (big_q @ X4)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('30', plain, (~ ( (big_q @ c4)) | ~ (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl342, zip_derived_cl129])).
% 0.62/0.93 thf(zip_derived_cl131, plain,
% 0.62/0.93 ((![X2 : $i]: ( (big_q @ X2) | (big_q @ (f2 @ X2))))
% 0.62/0.93 <= ((![X2 : $i]: ( (big_q @ X2) | (big_q @ (f2 @ X2)))))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(zip_derived_cl129, plain,
% 0.62/0.93 ((![X4 : $i]: ~ (big_q @ X4)) <= ((![X4 : $i]: ~ (big_q @ X4)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf(zip_derived_cl1032, plain,
% 0.62/0.93 ((![X0 : $i]: (big_q @ X0))
% 0.62/0.93 <= ((![X4 : $i]: ~ (big_q @ X4)) &
% 0.62/0.93 (![X2 : $i]: ( (big_q @ X2) | (big_q @ (f2 @ X2)))))),
% 0.62/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl131, zip_derived_cl129])).
% 0.62/0.93 thf(zip_derived_cl129, plain,
% 0.62/0.93 ((![X4 : $i]: ~ (big_q @ X4)) <= ((![X4 : $i]: ~ (big_q @ X4)))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.62/0.93 thf('31', plain,
% 0.62/0.93 (~ (![X2 : $i]: ( (big_q @ X2) | (big_q @ (f2 @ X2)))) |
% 0.62/0.93 ~ (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('s_sup-', [status(thm)],
% 0.62/0.93 [zip_derived_cl1032, zip_derived_cl129])).
% 0.62/0.93 thf('32', plain,
% 0.62/0.93 (~ ( (big_p @ c3)) |
% 0.62/0.93 (![X2 : $i]: ( (big_q @ X2) | (big_q @ (f2 @ X2)))) |
% 0.62/0.93 (![X3 : $i]: (big_p @ X3)) | (![X1 : $i]: ~ (big_p @ X1)) |
% 0.62/0.93 (![X0 : $i]: (big_q @ X0)) | ( (big_q @ c4))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl32])).
% 0.62/0.93 thf(clause_67, conjecture,
% 0.62/0.93 (~( ( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( ~( big_q @ c16 ) ) |
% 0.62/0.93 ( big_q @ X13 ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) ) ))).
% 0.62/0.93 thf(zf_stmt_23, negated_conjecture,
% 0.62/0.93 (( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( ~( big_q @ c16 ) ) |
% 0.62/0.93 ( big_q @ X13 ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) | ( big_p @ X7 ) |
% 0.62/0.93 ( ~( big_p @ c11 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_67])).
% 0.62/0.93 thf(zip_derived_cl66, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | ~ (big_q @ c16)
% 0.62/0.93 | (big_q @ X2)
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | ~ (big_q @ X4)
% 0.62/0.93 | (big_p @ X5)
% 0.62/0.93 | ~ (big_p @ c11))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_23])).
% 0.62/0.93 thf('33', plain,
% 0.62/0.93 (~ ( (big_p @ c11)) | ~ ( (big_q @ c16)) | (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 (![X1 : $i]: ~ (big_p @ X1)) | (![X3 : $i]: (big_p @ X3)) |
% 0.62/0.93 (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl66])).
% 0.62/0.93 thf(clause_83, conjecture,
% 0.62/0.93 (~( ( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( ~( big_q @ c16 ) ) |
% 0.62/0.93 ( big_q @ X13 ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( ~( big_p @ X7 ) ) | ( big_p @ c11 ) ))).
% 0.62/0.93 thf(zf_stmt_24, negated_conjecture,
% 0.62/0.93 (( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( ~( big_q @ c16 ) ) |
% 0.62/0.93 ( big_q @ X13 ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( ~( big_p @ X7 ) ) | ( big_p @ c11 )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_83])).
% 0.62/0.93 thf(zip_derived_cl82, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | ~ (big_q @ c16)
% 0.62/0.93 | (big_q @ X2)
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | ~ (big_q @ X4)
% 0.62/0.93 | ~ (big_p @ X5)
% 0.62/0.93 | (big_p @ c11))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_24])).
% 0.62/0.93 thf('34', plain,
% 0.62/0.93 (( (big_p @ c11)) | ~ ( (big_q @ c16)) | (![X1 : $i]: ~ (big_p @ X1)) |
% 0.62/0.93 (![X3 : $i]: (big_p @ X3)) | (![X4 : $i]: ~ (big_q @ X4)) |
% 0.62/0.93 (![X0 : $i]: (big_q @ X0))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl82])).
% 0.62/0.93 thf(clause_81, conjecture,
% 0.62/0.93 (~( ( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( ~( big_p @ X7 ) ) | ( big_p @ c11 ) ))).
% 0.62/0.93 thf(zf_stmt_25, negated_conjecture,
% 0.62/0.93 (( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( ~( big_p @ X7 ) ) | ( big_p @ c11 )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_81])).
% 0.62/0.93 thf(zip_derived_cl80, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ c16)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | ~ (big_q @ X4)
% 0.62/0.93 | ~ (big_p @ X5)
% 0.62/0.93 | (big_p @ c11))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_25])).
% 0.62/0.93 thf('35', plain,
% 0.62/0.93 (( (big_p @ c11)) | ( (big_q @ c16)) | (![X1 : $i]: ~ (big_p @ X1)) |
% 0.62/0.93 (![X4 : $i]: ~ (big_q @ X4)) | (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 (![X3 : $i]: (big_p @ X3))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl80])).
% 0.62/0.93 thf(clause_65, conjecture,
% 0.62/0.93 (~( ( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) ) ))).
% 0.62/0.93 thf(zf_stmt_26, negated_conjecture,
% 0.62/0.93 (( big_q @ X15 ) | ( ~( big_p @ X14 ) ) | ( big_q @ c16 ) |
% 0.62/0.93 ( ~( big_q @ X13 ) ) | ( big_p @ X9 ) | ( ~( big_q @ X8 ) ) |
% 0.62/0.93 ( big_p @ X7 ) | ( ~( big_p @ c11 ) )),
% 0.62/0.93 inference('cnf.neg', [status(esa)], [clause_65])).
% 0.62/0.93 thf(zip_derived_cl64, plain,
% 0.62/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.62/0.93 ( (big_q @ X0)
% 0.62/0.93 | ~ (big_p @ X1)
% 0.62/0.93 | (big_q @ c16)
% 0.62/0.93 | ~ (big_q @ X2)
% 0.62/0.93 | (big_p @ X3)
% 0.62/0.93 | ~ (big_q @ X4)
% 0.62/0.93 | (big_p @ X5)
% 0.62/0.93 | ~ (big_p @ c11))),
% 0.62/0.93 inference('cnf', [status(esa)], [zf_stmt_26])).
% 0.62/0.93 thf('36', plain,
% 0.62/0.93 (~ ( (big_p @ c11)) | ( (big_q @ c16)) | (![X0 : $i]: (big_q @ X0)) |
% 0.62/0.93 (![X1 : $i]: ~ (big_p @ X1)) | (![X3 : $i]: (big_p @ X3)) |
% 0.62/0.93 (![X4 : $i]: ~ (big_q @ X4))),
% 0.62/0.93 inference('split', [status(esa)], [zip_derived_cl64])).
% 0.62/0.93 thf(zip_derived_cl1125, plain, ($false),
% 0.62/0.93 inference('sat_resolution*', [status(thm)],
% 0.62/0.93 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.62/0.93 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 0.62/0.93 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 0.62/0.93 '32', '33', '34', '35', '36'])).
% 0.62/0.93
% 0.62/0.93 % SZS output end Refutation
% 0.62/0.93
% 0.62/0.93
% 0.62/0.93 % Terminating...
% 0.62/1.01 % Runner terminated.
% 0.62/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------