%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN037-2 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sJ5zTrsljo true
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:03:47 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.78s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN037-2 : TPTP v9.2.0. Released v1.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sJ5zTrsljo true
% 0.15/0.34 % Computer : n022.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 : Wed Oct 1 13:46:23 EDT 2025
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % Running portfolio for 300 s
% 0.15/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.34 % Number of cores: 8
% 0.15/0.34 % Python version: Python 3.6.8
% 0.15/0.34 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.78 % Solved by fo/fo1_av.sh.
% 0.57/0.78 % done 106 iterations in 0.014s
% 0.57/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.78 % SZS output start Refutation
% 0.57/0.78 thf(fy_type, type, fy: $i > $i).
% 0.57/0.78 thf(q_type, type, q: $i > $o).
% 0.57/0.78 thf(cx_type, type, cx: $i).
% 0.57/0.78 thf(fz2_type, type, fz2: $i > $i).
% 0.57/0.78 thf(p_type, type, p: $i > $o).
% 0.57/0.78 thf(m2_type, type, m2: $o).
% 0.57/0.78 thf(fy3_type, type, fy3: $i > $i).
% 0.57/0.78 thf(m3_type, type, m3: $o).
% 0.57/0.78 thf(cvv_type, type, cvv: $i).
% 0.57/0.78 thf(cw_type, type, cw: $i).
% 0.57/0.78 thf(cv_type, type, cv: $i).
% 0.57/0.78 thf(m1_type, type, m1: $o).
% 0.57/0.78 thf(cuu_type, type, cuu: $i).
% 0.57/0.78 thf(cu_type, type, cu: $i).
% 0.57/0.78 thf(fz5_type, type, fz5: $i > $i).
% 0.57/0.78 thf(clause_10, conjecture,
% 0.57/0.78 (~( ( p @ cx ) | ( m1 ) | ( ~( p @ Y2 ) ) | ( ~( m3 ) ) ))).
% 0.57/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.78 (( p @ cx ) | ( m1 ) | ( ~( p @ Y2 ) ) | ( ~( m3 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_10])).
% 0.57/0.78 thf(zip_derived_cl9, plain,
% 0.57/0.78 (![X0 : $i]: ( (p @ cx) | (m1) | ~ (p @ X0) | ~ (m3))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.78 thf('0', plain,
% 0.57/0.78 (( (p @ cx)) | ( (m1)) | ~ ( (m3)) | (![X0 : $i]: ~ (p @ X0))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.57/0.78 thf(clause_12, conjecture,
% 0.57/0.78 (~( ( q @ ( fz2 @ W1 ) ) | ( q @ W1 ) | ( m2 ) | ( ~( m3 ) ) ))).
% 0.57/0.78 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.78 (( q @ ( fz2 @ W1 ) ) | ( q @ W1 ) | ( m2 ) | ( ~( m3 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_12])).
% 0.57/0.78 thf(zip_derived_cl11, plain,
% 0.57/0.78 (![X0 : $i]: ( (q @ (fz2 @ X0)) | (q @ X0) | (m2) | ~ (m3))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.78 thf(zip_derived_cl61, plain,
% 0.57/0.78 ((![X0 : $i]: ( (q @ X0) | (q @ (fz2 @ X0))))
% 0.57/0.78 <= ((![X0 : $i]: ( (q @ X0) | (q @ (fz2 @ X0)))))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl11])).
% 0.57/0.78 thf(clause_6, conjecture,
% 0.57/0.78 (~( ( q @ cw ) | ( ~( q @ Z ) ) | ( ~( m3 ) ) | ( ~( m2 ) ) ))).
% 0.57/0.78 thf(zf_stmt_2, negated_conjecture,
% 0.57/0.78 (( q @ cw ) | ( ~( q @ Z ) ) | ( ~( m3 ) ) | ( ~( m2 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_6])).
% 0.57/0.78 thf(zip_derived_cl5, plain,
% 0.57/0.78 (![X0 : $i]: ( (q @ cw) | ~ (q @ X0) | ~ (m3) | ~ (m2))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.78 thf(zip_derived_cl40, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (q @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.57/0.78 thf(zip_derived_cl137, plain,
% 0.57/0.78 ((![X0 : $i]: (q @ X0))
% 0.57/0.78 <= ((![X0 : $i]: ~ (q @ X0)) &
% 0.57/0.78 (![X0 : $i]: ( (q @ X0) | (q @ (fz2 @ X0)))))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl40])).
% 0.57/0.78 thf(zip_derived_cl40, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (q @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.57/0.78 thf('1', plain,
% 0.57/0.78 (~ (![X0 : $i]: ( (q @ X0) | (q @ (fz2 @ X0)))) |
% 0.57/0.78 ~ (![X0 : $i]: ~ (q @ X0))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl137, zip_derived_cl40])).
% 0.57/0.78 thf('2', plain,
% 0.57/0.78 (~ ( (m3)) | (![X0 : $i]: ( (q @ X0) | (q @ (fz2 @ X0)))) | ( (m2))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl11])).
% 0.57/0.78 thf(clause_3, conjecture,
% 0.57/0.78 (~( ( p @ Y4 ) | ( m3 ) | ( ~( p @ cx ) ) | ( ~( m1 ) ) ))).
% 0.57/0.78 thf(zf_stmt_3, negated_conjecture,
% 0.57/0.78 (( p @ Y4 ) | ( m3 ) | ( ~( p @ cx ) ) | ( ~( m1 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_3])).
% 0.57/0.78 thf(zip_derived_cl2, plain,
% 0.57/0.78 (![X0 : $i]: ( (p @ X0) | (m3) | ~ (p @ cx) | ~ (m1))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.78 thf(zip_derived_cl28, plain,
% 0.57/0.78 ((![X0 : $i]: (p @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.57/0.78 thf(clause_13, conjecture,
% 0.57/0.78 (~( ( m3 ) | ( m1 ) | ( ~( p @ ( fy3 @ X2 ) ) ) | ( ~( p @ X2 ) ) ))).
% 0.57/0.78 thf(zf_stmt_4, negated_conjecture,
% 0.57/0.78 (( m3 ) | ( m1 ) | ( ~( p @ ( fy3 @ X2 ) ) ) | ( ~( p @ X2 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_13])).
% 0.57/0.78 thf(zip_derived_cl12, plain,
% 0.57/0.78 (![X0 : $i]: ( (m3) | (m1) | ~ (p @ (fy3 @ X0)) | ~ (p @ X0))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.78 thf(zip_derived_cl64, plain,
% 0.57/0.78 ((![X0 : $i]: (~ (p @ X0) | ~ (p @ (fy3 @ X0))))
% 0.57/0.78 <= ((![X0 : $i]: (~ (p @ X0) | ~ (p @ (fy3 @ X0)))))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl12])).
% 0.57/0.78 thf(zip_derived_cl140, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (p @ X0))
% 0.57/0.78 <= ((![X0 : $i]: (p @ X0)) &
% 0.57/0.78 (![X0 : $i]: (~ (p @ X0) | ~ (p @ (fy3 @ X0)))))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl64])).
% 0.57/0.78 thf(zip_derived_cl28, plain,
% 0.57/0.78 ((![X0 : $i]: (p @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.57/0.78 thf('3', plain,
% 0.57/0.78 (~ (![X0 : $i]: (p @ X0)) |
% 0.57/0.78 ~ (![X0 : $i]: (~ (p @ X0) | ~ (p @ (fy3 @ X0))))),
% 0.57/0.78 inference('demod', [status(thm)], [zip_derived_cl140, zip_derived_cl28])).
% 0.57/0.78 thf(clause_16, conjecture,
% 0.57/0.78 (~( ( p @ ( fy3 @ X2 ) ) | ( p @ X2 ) | ( m3 ) | ( m1 ) ))).
% 0.57/0.78 thf(zf_stmt_5, negated_conjecture,
% 0.57/0.78 (( p @ ( fy3 @ X2 ) ) | ( p @ X2 ) | ( m3 ) | ( m1 )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_16])).
% 0.57/0.78 thf(zip_derived_cl15, plain,
% 0.57/0.78 (![X0 : $i]: ( (p @ (fy3 @ X0)) | (p @ X0) | (m3) | (m1))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.78 thf(zip_derived_cl75, plain,
% 0.57/0.78 ((![X0 : $i]: ( (p @ X0) | (p @ (fy3 @ X0))))
% 0.57/0.78 <= ((![X0 : $i]: ( (p @ X0) | (p @ (fy3 @ X0)))))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl15])).
% 0.57/0.78 thf(clause_4, conjecture,
% 0.57/0.78 (~( ( p @ cx ) | ( m3 ) | ( ~( p @ Y5 ) ) | ( ~( m1 ) ) ))).
% 0.57/0.78 thf(zf_stmt_6, negated_conjecture,
% 0.57/0.78 (( p @ cx ) | ( m3 ) | ( ~( p @ Y5 ) ) | ( ~( m1 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_4])).
% 0.57/0.78 thf(zip_derived_cl3, plain,
% 0.57/0.78 (![X0 : $i]: ( (p @ cx) | (m3) | ~ (p @ X0) | ~ (m1))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.78 thf(zip_derived_cl32, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (p @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.57/0.78 thf(zip_derived_cl144, plain,
% 0.57/0.78 ((![X0 : $i]: (p @ X0))
% 0.57/0.78 <= ((![X0 : $i]: ~ (p @ X0)) &
% 0.57/0.78 (![X0 : $i]: ( (p @ X0) | (p @ (fy3 @ X0)))))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl32])).
% 0.57/0.78 thf(zip_derived_cl32, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (p @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.57/0.78 thf('4', plain,
% 0.57/0.78 (~ (![X0 : $i]: ~ (p @ X0)) |
% 0.57/0.78 ~ (![X0 : $i]: ( (p @ X0) | (p @ (fy3 @ X0))))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl144, zip_derived_cl32])).
% 0.57/0.78 thf('5', plain,
% 0.57/0.78 ((![X0 : $i]: (~ (p @ X0) | ~ (p @ (fy3 @ X0)))) | ( (m1)) | ( (m3))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl12])).
% 0.57/0.78 thf('6', plain,
% 0.57/0.78 ((![X0 : $i]: ( (p @ X0) | (p @ (fy3 @ X0)))) | ( (m1)) | ( (m3))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl15])).
% 0.57/0.78 thf(clause_5, conjecture,
% 0.57/0.78 (~( ( q @ Z1 ) | ( ~( q @ cw ) ) | ( ~( m3 ) ) | ( ~( m2 ) ) ))).
% 0.57/0.78 thf(zf_stmt_7, negated_conjecture,
% 0.57/0.78 (( q @ Z1 ) | ( ~( q @ cw ) ) | ( ~( m3 ) ) | ( ~( m2 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_5])).
% 0.57/0.78 thf(zip_derived_cl4, plain,
% 0.57/0.78 (![X0 : $i]: ( (q @ X0) | ~ (q @ cw) | ~ (m3) | ~ (m2))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.78 thf('7', plain,
% 0.57/0.78 (~ ( (q @ cw)) | ~ ( (m2)) | (![X0 : $i]: (q @ X0)) | ~ ( (m3))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.57/0.78 thf('8', plain,
% 0.57/0.78 (~ ( (m2)) | ( (q @ cw)) | ~ ( (m3)) | (![X0 : $i]: ~ (q @ X0))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.57/0.78 thf(clause_8, conjecture,
% 0.57/0.78 (~( ( q @ ( fz5 @ W2 ) ) | ( q @ W2 ) | ( m3 ) | ( ~( m2 ) ) ))).
% 0.57/0.78 thf(zf_stmt_8, negated_conjecture,
% 0.57/0.78 (( q @ ( fz5 @ W2 ) ) | ( q @ W2 ) | ( m3 ) | ( ~( m2 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_8])).
% 0.57/0.78 thf(zip_derived_cl7, plain,
% 0.57/0.78 (![X0 : $i]: ( (q @ (fz5 @ X0)) | (q @ X0) | (m3) | ~ (m2))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.57/0.78 thf(zip_derived_cl47, plain,
% 0.57/0.78 ((![X0 : $i]: ( (q @ X0) | (q @ (fz5 @ X0))))
% 0.57/0.78 <= ((![X0 : $i]: ( (q @ X0) | (q @ (fz5 @ X0)))))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl7])).
% 0.57/0.78 thf(zip_derived_cl40, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (q @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.57/0.78 thf(zip_derived_cl124, plain,
% 0.57/0.78 ((![X0 : $i]: (q @ X0))
% 0.57/0.78 <= ((![X0 : $i]: ~ (q @ X0)) &
% 0.57/0.78 (![X0 : $i]: ( (q @ X0) | (q @ (fz5 @ X0)))))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl40])).
% 0.57/0.78 thf(zip_derived_cl38, plain, ((~ (q @ cw)) <= (~ ( (q @ cw)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.57/0.78 thf('9', plain,
% 0.57/0.78 (~ (![X0 : $i]: ( (q @ X0) | (q @ (fz5 @ X0)))) |
% 0.57/0.78 ~ (![X0 : $i]: ~ (q @ X0)) | ( (q @ cw))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl38])).
% 0.57/0.78 thf(zip_derived_cl42, plain, (( (q @ cw)) <= (( (q @ cw)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.57/0.78 thf(zip_derived_cl40, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (q @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.57/0.78 thf('10', plain, (~ ( (q @ cw)) | ~ (![X0 : $i]: ~ (q @ X0))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl40])).
% 0.57/0.78 thf(clause_17, conjecture,
% 0.57/0.78 (~( ( q @ Uu1 ) | ( ~( q @ U1 ) ) | ( ~( m1 ) ) ))).
% 0.57/0.78 thf(zf_stmt_9, negated_conjecture,
% 0.57/0.78 (( q @ Uu1 ) | ( ~( q @ U1 ) ) | ( ~( m1 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_17])).
% 0.57/0.78 thf(zip_derived_cl16, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i]: ( (q @ X0) | ~ (q @ X1) | ~ (m1))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.57/0.78 thf('11', plain,
% 0.57/0.78 ((![X0 : $i]: ~ (q @ X0)) | ~ ( (m1)) | (![X0 : $i]: (q @ X0))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl16])).
% 0.57/0.78 thf(clause_19, conjecture, (~( ( m2 ) | ( ~( p @ cvv ) ) ))).
% 0.57/0.78 thf(zf_stmt_10, negated_conjecture, (( m2 ) | ( ~( p @ cvv ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_19])).
% 0.57/0.78 thf(zip_derived_cl18, plain, (( (m2) | ~ (p @ cvv))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.57/0.78 thf(zip_derived_cl84, plain, ((~ (p @ cvv)) <= (~ ( (p @ cvv)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl18])).
% 0.57/0.78 thf(zip_derived_cl28, plain,
% 0.57/0.78 ((![X0 : $i]: (p @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.57/0.78 thf('12', plain, (~ (![X0 : $i]: (p @ X0)) | ( (p @ cvv))),
% 0.57/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl84, zip_derived_cl28])).
% 0.57/0.78 thf(clause_21, conjecture, (~( ( p @ cv ) | ( m2 ) ))).
% 0.57/0.78 thf(zf_stmt_11, negated_conjecture, (( p @ cv ) | ( m2 )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_21])).
% 0.57/0.78 thf(zip_derived_cl20, plain, (( (p @ cv) | (m2))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.57/0.78 thf(zip_derived_cl88, plain, (( (p @ cv)) <= (( (p @ cv)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl20])).
% 0.57/0.78 thf(zip_derived_cl32, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (p @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.57/0.78 thf('13', plain, (~ (![X0 : $i]: ~ (p @ X0)) | ~ ( (p @ cv))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl32])).
% 0.57/0.78 thf('14', plain, (~ ( (p @ cvv)) | ( (m2))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl18])).
% 0.57/0.78 thf('15', plain, (( (p @ cv)) | ( (m2))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl20])).
% 0.57/0.78 thf(clause_7, conjecture,
% 0.57/0.78 (~( ( m3 ) | ( ~( q @ ( fz5 @ W2 ) ) ) | ( ~( q @ W2 ) ) | ( ~( m2 ) ) ))).
% 0.57/0.78 thf(zf_stmt_12, negated_conjecture,
% 0.57/0.78 (( m3 ) | ( ~( q @ ( fz5 @ W2 ) ) ) | ( ~( q @ W2 ) ) | ( ~( m2 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_7])).
% 0.57/0.78 thf(zip_derived_cl6, plain,
% 0.57/0.78 (![X0 : $i]: ( (m3) | ~ (q @ (fz5 @ X0)) | ~ (q @ X0) | ~ (m2))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.57/0.78 thf('16', plain,
% 0.57/0.78 ((![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz5 @ X0)))) | ~ ( (m2)) | ( (m3))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl6])).
% 0.57/0.78 thf(zip_derived_cl32, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (p @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.57/0.78 thf(clause_2, conjecture,
% 0.57/0.78 (~( ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( ~( m3 ) ) | ( ~( m1 ) ) ))).
% 0.57/0.78 thf(zf_stmt_13, negated_conjecture,
% 0.57/0.78 (( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( ~( m3 ) ) | ( ~( m1 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_2])).
% 0.57/0.78 thf(zip_derived_cl1, plain,
% 0.57/0.78 (![X0 : $i]: ( (p @ (fy @ X0)) | (p @ X0) | ~ (m3) | ~ (m1))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.57/0.78 thf(zip_derived_cl25, plain,
% 0.57/0.78 ((![X0 : $i]: ( (p @ (fy @ X0)) | (p @ X0)))
% 0.57/0.78 <= ((![X0 : $i]: ( (p @ (fy @ X0)) | (p @ X0))))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.57/0.78 thf(zip_derived_cl94, plain,
% 0.57/0.78 ((![X0 : $i]: (p @ X0))
% 0.57/0.78 <= ((![X0 : $i]: ( (p @ (fy @ X0)) | (p @ X0))) &
% 0.57/0.78 (![X0 : $i]: ~ (p @ X0)))),
% 0.57/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl25])).
% 0.57/0.78 thf(zip_derived_cl32, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (p @ X0)) <= ((![X0 : $i]: ~ (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.57/0.78 thf('17', plain,
% 0.57/0.78 (~ (![X0 : $i]: ( (p @ (fy @ X0)) | (p @ X0))) |
% 0.57/0.78 ~ (![X0 : $i]: ~ (p @ X0))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl94, zip_derived_cl32])).
% 0.57/0.78 thf(zip_derived_cl28, plain,
% 0.57/0.78 ((![X0 : $i]: (p @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.57/0.78 thf(clause_1, conjecture,
% 0.57/0.78 (~( ( ~( p @ ( fy @ X1 ) ) ) | ( ~( p @ X1 ) ) | ( ~( m3 ) ) | ( ~( m1 ) ) ))).
% 0.57/0.78 thf(zf_stmt_14, negated_conjecture,
% 0.57/0.78 (( ~( p @ ( fy @ X1 ) ) ) | ( ~( p @ X1 ) ) | ( ~( m3 ) ) | ( ~( m1 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_1])).
% 0.57/0.78 thf(zip_derived_cl0, plain,
% 0.57/0.78 (![X0 : $i]: (~ (p @ (fy @ X0)) | ~ (p @ X0) | ~ (m3) | ~ (m1))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.57/0.78 thf(zip_derived_cl22, plain,
% 0.57/0.78 ((![X0 : $i]: (~ (p @ (fy @ X0)) | ~ (p @ X0)))
% 0.57/0.78 <= ((![X0 : $i]: (~ (p @ (fy @ X0)) | ~ (p @ X0))))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.57/0.78 thf(zip_derived_cl100, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (p @ X0))
% 0.57/0.78 <= ((![X0 : $i]: (~ (p @ (fy @ X0)) | ~ (p @ X0))) &
% 0.57/0.78 (![X0 : $i]: (p @ X0)))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl22])).
% 0.57/0.78 thf(zip_derived_cl28, plain,
% 0.57/0.78 ((![X0 : $i]: (p @ X0)) <= ((![X0 : $i]: (p @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.57/0.78 thf('18', plain,
% 0.57/0.78 (~ (![X0 : $i]: (p @ X0)) |
% 0.57/0.78 ~ (![X0 : $i]: (~ (p @ (fy @ X0)) | ~ (p @ X0)))),
% 0.57/0.78 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl28])).
% 0.57/0.78 thf(clause_11, conjecture,
% 0.57/0.78 (~( ( m2 ) | ( ~( q @ ( fz2 @ W1 ) ) ) | ( ~( q @ W1 ) ) | ( ~( m3 ) ) ))).
% 0.57/0.78 thf(zf_stmt_15, negated_conjecture,
% 0.57/0.78 (( m2 ) | ( ~( q @ ( fz2 @ W1 ) ) ) | ( ~( q @ W1 ) ) | ( ~( m3 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_11])).
% 0.57/0.78 thf(zip_derived_cl10, plain,
% 0.57/0.78 (![X0 : $i]: ( (m2) | ~ (q @ (fz2 @ X0)) | ~ (q @ X0) | ~ (m3))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.57/0.78 thf('19', plain,
% 0.57/0.78 ((![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz2 @ X0)))) | ~ ( (m3)) | ( (m2))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.57/0.78 thf('20', plain,
% 0.57/0.78 ((![X0 : $i]: ( (p @ (fy @ X0)) | (p @ X0))) | ~ ( (m3)) | ~ ( (m1))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl1])).
% 0.57/0.78 thf('21', plain,
% 0.57/0.78 ((![X0 : $i]: (~ (p @ (fy @ X0)) | ~ (p @ X0))) | ~ ( (m3)) | ~ ( (m1))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl0])).
% 0.57/0.78 thf(clause_20, conjecture, (~( ( m1 ) | ( ~( q @ cuu ) ) ))).
% 0.57/0.78 thf(zf_stmt_16, negated_conjecture, (( m1 ) | ( ~( q @ cuu ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_20])).
% 0.57/0.78 thf(zip_derived_cl19, plain, (( (m1) | ~ (q @ cuu))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_16])).
% 0.57/0.78 thf('22', plain, (~ ( (q @ cuu)) | ( (m1))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl19])).
% 0.57/0.78 thf(zip_derived_cl36, plain,
% 0.57/0.78 ((![X0 : $i]: (q @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.57/0.78 thf(zip_derived_cl58, plain,
% 0.57/0.78 ((![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz2 @ X0))))
% 0.57/0.78 <= ((![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz2 @ X0)))))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.57/0.78 thf(zip_derived_cl127, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (q @ X0))
% 0.57/0.78 <= ((![X0 : $i]: (q @ X0)) &
% 0.57/0.78 (![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz2 @ X0)))))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl58])).
% 0.57/0.78 thf(zip_derived_cl36, plain,
% 0.57/0.78 ((![X0 : $i]: (q @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.57/0.78 thf('23', plain,
% 0.57/0.78 (~ (![X0 : $i]: (q @ X0)) |
% 0.57/0.78 ~ (![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz2 @ X0))))),
% 0.57/0.78 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl36])).
% 0.57/0.78 thf(zip_derived_cl36, plain,
% 0.57/0.78 ((![X0 : $i]: (q @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.57/0.78 thf(zip_derived_cl44, plain,
% 0.57/0.78 ((![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz5 @ X0))))
% 0.57/0.78 <= ((![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz5 @ X0)))))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl6])).
% 0.57/0.78 thf(zip_derived_cl120, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (q @ X0))
% 0.57/0.78 <= ((![X0 : $i]: (q @ X0)) &
% 0.57/0.78 (![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz5 @ X0)))))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl44])).
% 0.57/0.78 thf(zip_derived_cl36, plain,
% 0.57/0.78 ((![X0 : $i]: (q @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.57/0.78 thf('24', plain,
% 0.57/0.78 (~ (![X0 : $i]: (q @ X0)) |
% 0.57/0.78 ~ (![X0 : $i]: (~ (q @ X0) | ~ (q @ (fz5 @ X0))))),
% 0.57/0.78 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl36])).
% 0.57/0.78 thf(zip_derived_cl36, plain,
% 0.57/0.78 ((![X0 : $i]: (q @ X0)) <= ((![X0 : $i]: (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.57/0.78 thf(zip_derived_cl86, plain, ((~ (q @ cuu)) <= (~ ( (q @ cuu)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl19])).
% 0.57/0.78 thf('25', plain, (~ (![X0 : $i]: (q @ X0)) | ( (q @ cuu))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl86])).
% 0.57/0.78 thf('26', plain,
% 0.57/0.78 (~ ( (m2)) | (![X0 : $i]: ( (q @ X0) | (q @ (fz5 @ X0)))) | ( (m3))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl7])).
% 0.57/0.78 thf(clause_18, conjecture,
% 0.57/0.78 (~( ( p @ Vv1 ) | ( ~( p @ V1 ) ) | ( ~( m2 ) ) ))).
% 0.57/0.78 thf(zf_stmt_17, negated_conjecture,
% 0.57/0.78 (( p @ Vv1 ) | ( ~( p @ V1 ) ) | ( ~( m2 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_18])).
% 0.57/0.78 thf(zip_derived_cl17, plain,
% 0.57/0.78 (![X0 : $i, X1 : $i]: ( (p @ X0) | ~ (p @ X1) | ~ (m2))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.57/0.78 thf('27', plain,
% 0.57/0.78 (~ ( (m2)) | (![X0 : $i]: (p @ X0)) | (![X0 : $i]: ~ (p @ X0))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.57/0.78 thf(clause_9, conjecture,
% 0.57/0.78 (~( ( p @ Y1 ) | ( m1 ) | ( ~( p @ cx ) ) | ( ~( m3 ) ) ))).
% 0.57/0.78 thf(zf_stmt_18, negated_conjecture,
% 0.57/0.78 (( p @ Y1 ) | ( m1 ) | ( ~( p @ cx ) ) | ( ~( m3 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_9])).
% 0.57/0.78 thf(zip_derived_cl8, plain,
% 0.57/0.78 (![X0 : $i]: ( (p @ X0) | (m1) | ~ (p @ cx) | ~ (m3))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_18])).
% 0.57/0.78 thf('28', plain,
% 0.57/0.78 (~ ( (p @ cx)) | ( (m1)) | (![X0 : $i]: (p @ X0)) | ~ ( (m3))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.57/0.78 thf(clause_14, conjecture,
% 0.57/0.78 (~( ( q @ Z4 ) | ( m3 ) | ( m2 ) | ( ~( q @ cw ) ) ))).
% 0.57/0.78 thf(zf_stmt_19, negated_conjecture,
% 0.57/0.78 (( q @ Z4 ) | ( m3 ) | ( m2 ) | ( ~( q @ cw ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_14])).
% 0.57/0.78 thf(zip_derived_cl13, plain,
% 0.57/0.78 (![X0 : $i]: ( (q @ X0) | (m3) | (m2) | ~ (q @ cw))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_19])).
% 0.57/0.78 thf('29', plain,
% 0.57/0.78 (~ ( (q @ cw)) | ( (m3)) | (![X0 : $i]: (q @ X0)) | ( (m2))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl13])).
% 0.57/0.78 thf(clause_15, conjecture,
% 0.57/0.78 (~( ( q @ cw ) | ( m3 ) | ( m2 ) | ( ~( q @ Z3 ) ) ))).
% 0.57/0.78 thf(zf_stmt_20, negated_conjecture,
% 0.57/0.78 (( q @ cw ) | ( m3 ) | ( m2 ) | ( ~( q @ Z3 ) )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_15])).
% 0.57/0.78 thf(zip_derived_cl14, plain,
% 0.57/0.78 (![X0 : $i]: ( (q @ cw) | (m3) | (m2) | ~ (q @ X0))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_20])).
% 0.57/0.78 thf('30', plain,
% 0.57/0.78 ((![X0 : $i]: ~ (q @ X0)) | ( (q @ cw)) | ( (m2)) | ( (m3))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl14])).
% 0.57/0.78 thf(clause_22, conjecture, (~( ( q @ cu ) | ( m1 ) ))).
% 0.57/0.78 thf(zf_stmt_21, negated_conjecture, (( q @ cu ) | ( m1 )),
% 0.57/0.78 inference('cnf.neg', [status(esa)], [clause_22])).
% 0.57/0.78 thf(zip_derived_cl21, plain, (( (q @ cu) | (m1))),
% 0.57/0.78 inference('cnf', [status(esa)], [zf_stmt_21])).
% 0.57/0.78 thf(zip_derived_cl90, plain, (( (q @ cu)) <= (( (q @ cu)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl21])).
% 0.57/0.78 thf(zip_derived_cl40, plain,
% 0.57/0.78 ((![X0 : $i]: ~ (q @ X0)) <= ((![X0 : $i]: ~ (q @ X0)))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.57/0.78 thf('31', plain, (~ ( (q @ cu)) | ~ (![X0 : $i]: ~ (q @ X0))),
% 0.57/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl40])).
% 0.57/0.78 thf('32', plain, (( (m1)) | ( (q @ cu))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl21])).
% 0.57/0.78 thf('33', plain,
% 0.57/0.78 (( (p @ cx)) | ~ ( (m1)) | (![X0 : $i]: ~ (p @ X0)) | ( (m3))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl3])).
% 0.57/0.78 thf('34', plain,
% 0.57/0.78 (~ ( (p @ cx)) | ~ ( (m1)) | ( (m3)) | (![X0 : $i]: (p @ X0))),
% 0.57/0.78 inference('split', [status(esa)], [zip_derived_cl2])).
% 0.57/0.78 thf(zip_derived_cl160, plain, ($false),
% 0.57/0.78 inference('sat_resolution*', [status(thm)],
% 0.57/0.78 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.57/0.78 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 0.57/0.78 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 0.57/0.78 '32', '33', '34'])).
% 0.57/0.78
% 0.57/0.78 % SZS output end Refutation
% 0.57/0.78
% 0.57/0.78
% 0.57/0.78 % Terminating...
% 0.57/0.84 % Runner terminated.
% 0.57/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------