%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN036-4 : 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.IzpJbu9dLv true
% Computer : n001.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 05:03:46 PM UTC 2025
% Result : Unsatisfiable 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN036-4 : TPTP v9.2.0. Released v1.0.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IzpJbu9dLv true
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 13:29:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.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/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.76 % Solved by fo/fo3_bce.sh.
% 0.56/0.76 % BCE start: 32
% 0.56/0.76 % BCE eliminated: 0
% 0.56/0.76 % PE start: 32
% 0.56/0.76 logic: neq
% 0.56/0.76 % PE eliminated: 0
% 0.56/0.76 % done 40 iterations in 0.024s
% 0.56/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.76 % SZS output start Refutation
% 0.56/0.76 thf(cx_type, type, cx: $i).
% 0.56/0.76 thf(fz5_type, type, fz5: $i > $i).
% 0.56/0.76 thf(p_type, type, p: $i > $o).
% 0.56/0.76 thf(cw_type, type, cw: $i).
% 0.56/0.76 thf(q_type, type, q: $i > $o).
% 0.56/0.76 thf(fy5_type, type, fy5: $i > $i).
% 0.56/0.76 thf(fy_type, type, fy: $i > $i).
% 0.56/0.76 thf(fz_type, type, fz: $i > $i).
% 0.56/0.76 thf(clause_23, conjecture,
% 0.56/0.76 (~( ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) | ( ~( q @ cw ) ) |
% 0.56/0.76 ( ~( p @ ( fy5 @ X7 ) ) ) | ( ~( p @ X7 ) ) | ( ~( p @ cx ) ) ))).
% 0.56/0.76 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.76 (( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) | ( ~( q @ cw ) ) |
% 0.56/0.76 ( ~( p @ ( fy5 @ X7 ) ) ) | ( ~( p @ X7 ) ) | ( ~( p @ cx ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_23])).
% 0.56/0.76 thf(zip_derived_cl22, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 (~ (q @ (fz5 @ X0))
% 0.56/0.76 | ~ (q @ X0)
% 0.56/0.76 | ~ (q @ cw)
% 0.56/0.76 | ~ (p @ (fy5 @ X1))
% 0.56/0.76 | ~ (p @ X1)
% 0.56/0.76 | ~ (p @ cx))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.76 thf(clause_5, conjecture,
% 0.56/0.76 (~( ( q @ Z3 ) | ( ~( q @ cw ) ) | ( ~( p @ ( fy5 @ X7 ) ) ) |
% 0.56/0.76 ( ~( p @ X7 ) ) | ( ~( p @ cx ) ) ))).
% 0.56/0.76 thf(zf_stmt_1, negated_conjecture,
% 0.56/0.76 (( q @ Z3 ) | ( ~( q @ cw ) ) | ( ~( p @ ( fy5 @ X7 ) ) ) |
% 0.56/0.76 ( ~( p @ X7 ) ) | ( ~( p @ cx ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_5])).
% 0.56/0.76 thf(zip_derived_cl4, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ X0) | ~ (q @ cw) | ~ (p @ (fy5 @ X1)) | ~ (p @ X1) | ~ (p @ cx))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.76 thf(clause_1, conjecture,
% 0.56/0.76 (~( ( q @ Z3 ) | ( p @ Y3 ) | ( ~( q @ cw ) ) | ( ~( p @ cx ) ) ))).
% 0.56/0.76 thf(zf_stmt_2, negated_conjecture,
% 0.56/0.76 (( q @ Z3 ) | ( p @ Y3 ) | ( ~( q @ cw ) ) | ( ~( p @ cx ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_1])).
% 0.56/0.76 thf(zip_derived_cl0, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ X1) | ~ (q @ cw) | ~ (p @ cx))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.76 thf(zip_derived_cl38, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: (~ (p @ cx) | ~ (p @ X1) | ~ (q @ cw) | (q @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 0.56/0.76 thf(clause_3, conjecture,
% 0.56/0.76 (~( ( q @ Z3 ) | ( p @ cx ) | ( ~( q @ cw ) ) | ( ~( p @ Y4 ) ) ))).
% 0.56/0.76 thf(zf_stmt_3, negated_conjecture,
% 0.56/0.76 (( q @ Z3 ) | ( p @ cx ) | ( ~( q @ cw ) ) | ( ~( p @ Y4 ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_3])).
% 0.56/0.76 thf(zip_derived_cl2, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ cx) | ~ (q @ cw) | ~ (p @ X1))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.76 thf(zip_derived_cl39, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | ~ (q @ cw) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 0.56/0.76 thf(zip_derived_cl49, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 (~ (p @ cx)
% 0.56/0.76 | ~ (p @ X1)
% 0.56/0.76 | ~ (p @ (fy5 @ X1))
% 0.56/0.76 | ~ (q @ cw)
% 0.56/0.76 | ~ (q @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl22, zip_derived_cl39])).
% 0.56/0.76 thf(clause_16, conjecture,
% 0.56/0.76 (~( ( p @ cx ) | ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) |
% 0.56/0.76 ( ~( q @ cw ) ) | ( ~( p @ Y4 ) ) ))).
% 0.56/0.76 thf(zf_stmt_4, negated_conjecture,
% 0.56/0.76 (( p @ cx ) | ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) |
% 0.56/0.76 ( ~( q @ cw ) ) | ( ~( p @ Y4 ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_16])).
% 0.56/0.76 thf(zip_derived_cl15, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (p @ cx) | ~ (q @ (fz5 @ X0)) | ~ (q @ X0) | ~ (q @ cw) | ~ (p @ X1))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.76 thf(zip_derived_cl39, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | ~ (q @ cw) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 0.56/0.76 thf(zip_derived_cl47, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: (~ (p @ X1) | ~ (q @ cw) | ~ (q @ X0) | (p @ cx))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl15, zip_derived_cl39])).
% 0.56/0.76 thf(clause_6, conjecture,
% 0.56/0.76 (~( ( q @ cw ) | ( ~( q @ Z4 ) ) | ( ~( p @ ( fy5 @ X7 ) ) ) |
% 0.56/0.76 ( ~( p @ X7 ) ) | ( ~( p @ cx ) ) ))).
% 0.56/0.76 thf(zf_stmt_5, negated_conjecture,
% 0.56/0.76 (( q @ cw ) | ( ~( q @ Z4 ) ) | ( ~( p @ ( fy5 @ X7 ) ) ) |
% 0.56/0.76 ( ~( p @ X7 ) ) | ( ~( p @ cx ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_6])).
% 0.56/0.76 thf(zip_derived_cl5, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ cw) | ~ (q @ X0) | ~ (p @ (fy5 @ X1)) | ~ (p @ X1) | ~ (p @ cx))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.76 thf(clause_2, conjecture,
% 0.56/0.76 (~( ( q @ cw ) | ( p @ Y3 ) | ( ~( q @ Z4 ) ) | ( ~( p @ cx ) ) ))).
% 0.56/0.76 thf(zf_stmt_6, negated_conjecture,
% 0.56/0.76 (( q @ cw ) | ( p @ Y3 ) | ( ~( q @ Z4 ) ) | ( ~( p @ cx ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_2])).
% 0.56/0.76 thf(zip_derived_cl1, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ cw) | (p @ X0) | ~ (q @ X1) | ~ (p @ cx))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/0.76 thf(zip_derived_cl36, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: (~ (p @ cx) | ~ (p @ X1) | ~ (q @ X0) | (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl5, zip_derived_cl1])).
% 0.56/0.76 thf(clause_4, conjecture,
% 0.56/0.76 (~( ( q @ cw ) | ( p @ cx ) | ( ~( q @ Z4 ) ) | ( ~( p @ Y4 ) ) ))).
% 0.56/0.76 thf(zf_stmt_7, negated_conjecture,
% 0.56/0.76 (( q @ cw ) | ( p @ cx ) | ( ~( q @ Z4 ) ) | ( ~( p @ Y4 ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_4])).
% 0.56/0.76 thf(zip_derived_cl3, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ cw) | (p @ cx) | ~ (q @ X0) | ~ (p @ X1))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/0.76 thf(zip_derived_cl37, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ cw) | ~ (q @ X0) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl3])).
% 0.56/0.76 thf(zip_derived_cl48, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (p @ cx) | ~ (q @ X0) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl47, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl50, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 (~ (q @ X0) | ~ (q @ cw) | ~ (p @ (fy5 @ X1)) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl49, zip_derived_cl48])).
% 0.56/0.76 thf(zip_derived_cl39, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | ~ (q @ cw) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 0.56/0.76 thf(zip_derived_cl51, plain,
% 0.56/0.76 (![X1 : $i]: (~ (p @ X1) | ~ (p @ (fy5 @ X1)) | ~ (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl50, zip_derived_cl39])).
% 0.56/0.76 thf(clause_7, conjecture,
% 0.56/0.76 (~( ( p @ Y3 ) | ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) |
% 0.56/0.76 ( ~( q @ cw ) ) | ( ~( p @ cx ) ) ))).
% 0.56/0.76 thf(zf_stmt_8, negated_conjecture,
% 0.56/0.76 (( p @ Y3 ) | ( ~( q @ ( fz5 @ W9 ) ) ) | ( ~( q @ W9 ) ) |
% 0.56/0.76 ( ~( q @ cw ) ) | ( ~( p @ cx ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_7])).
% 0.56/0.76 thf(zip_derived_cl6, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (p @ X0) | ~ (q @ (fz5 @ X1)) | ~ (q @ X1) | ~ (q @ cw) | ~ (p @ cx))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.76 thf(zip_derived_cl39, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | ~ (q @ cw) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 0.56/0.76 thf(zip_derived_cl43, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: (~ (p @ cx) | ~ (q @ cw) | ~ (q @ X1) | (p @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl6, zip_derived_cl39])).
% 0.56/0.76 thf(zip_derived_cl37, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ cw) | ~ (q @ X0) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl3])).
% 0.56/0.76 thf(zip_derived_cl44, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (p @ X0) | ~ (q @ X1) | ~ (p @ cx))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl43, zip_derived_cl37])).
% 0.56/0.76 thf(clause_10, conjecture,
% 0.56/0.76 (~( ( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) | ( p @ Y1 ) |
% 0.56/0.76 ( ~( p @ cx ) ) ))).
% 0.56/0.76 thf(zf_stmt_9, negated_conjecture,
% 0.56/0.76 (( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) | ( p @ Y1 ) |
% 0.56/0.76 ( ~( p @ cx ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_10])).
% 0.56/0.76 thf(zip_derived_cl9, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ (fz @ X0)) | (q @ X0) | (q @ cw) | (p @ X1) | ~ (p @ cx))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/0.76 thf(zip_derived_cl37, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ cw) | ~ (q @ X0) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl3])).
% 0.56/0.76 thf(zip_derived_cl41, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: (~ (p @ cx) | (p @ X1) | (q @ cw) | (q @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl9, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl39, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | ~ (q @ cw) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 0.56/0.76 thf(zip_derived_cl42, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ X1) | ~ (p @ cx))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl41, zip_derived_cl39])).
% 0.56/0.76 thf(zip_derived_cl45, plain, (![X0 : $i]: (~ (p @ cx) | (p @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl42])).
% 0.56/0.76 thf(clause_30, conjecture,
% 0.56/0.76 (~( ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 0.56/0.76 ( ~( q @ ( fz @ W3 ) ) ) | ( ~( q @ W3 ) ) | ( ~( q @ cw ) ) ))).
% 0.56/0.76 thf(zf_stmt_10, negated_conjecture,
% 0.56/0.76 (( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 0.56/0.76 ( ~( q @ ( fz @ W3 ) ) ) | ( ~( q @ W3 ) ) | ( ~( q @ cw ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_30])).
% 0.56/0.76 thf(zip_derived_cl29, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (p @ (fy @ X0))
% 0.56/0.76 | (p @ X0)
% 0.56/0.76 | (p @ cx)
% 0.56/0.76 | ~ (q @ (fz @ X1))
% 0.56/0.76 | ~ (q @ X1)
% 0.56/0.76 | ~ (q @ cw))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.76 thf(clause_15, conjecture,
% 0.56/0.76 (~( ( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) | ( p @ cx ) |
% 0.56/0.76 ( ~( p @ Y2 ) ) ))).
% 0.56/0.76 thf(zf_stmt_11, negated_conjecture,
% 0.56/0.76 (( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) | ( p @ cx ) |
% 0.56/0.76 ( ~( p @ Y2 ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_15])).
% 0.56/0.76 thf(zip_derived_cl14, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ (fz @ X0)) | (q @ X0) | (q @ cw) | (p @ cx) | ~ (p @ X1))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/0.76 thf(zip_derived_cl48, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (p @ cx) | ~ (q @ X0) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl47, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl72, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: (~ (p @ X1) | (p @ cx) | (q @ cw) | (q @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl14, zip_derived_cl48])).
% 0.56/0.76 thf(clause_19, conjecture,
% 0.56/0.76 (~( ( q @ Z1 ) | ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 0.56/0.76 ( ~( q @ cw ) ) ))).
% 0.56/0.76 thf(zf_stmt_12, negated_conjecture,
% 0.56/0.76 (( q @ Z1 ) | ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 0.56/0.76 ( ~( q @ cw ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_19])).
% 0.56/0.76 thf(zip_derived_cl18, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ X0) | (p @ (fy @ X1)) | (p @ X1) | (p @ cx) | ~ (q @ cw))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.56/0.76 thf(zip_derived_cl48, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (p @ cx) | ~ (q @ X0) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl47, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl55, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: (~ (q @ cw) | (p @ cx) | (p @ X1) | (q @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl18, zip_derived_cl48])).
% 0.56/0.76 thf(zip_derived_cl45, plain, (![X0 : $i]: (~ (p @ cx) | (p @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl42])).
% 0.56/0.76 thf(zip_derived_cl56, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ X1) | ~ (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl55, zip_derived_cl45])).
% 0.56/0.76 thf(zip_derived_cl39, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | ~ (q @ cw) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 0.56/0.76 thf(zip_derived_cl57, plain, (![X0 : $i]: (~ (q @ cw) | (q @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl56, zip_derived_cl39])).
% 0.56/0.76 thf(zip_derived_cl73, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ X0) | (p @ cx) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl72, zip_derived_cl57])).
% 0.56/0.76 thf(zip_derived_cl48, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (p @ cx) | ~ (q @ X0) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl47, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl74, plain, (![X1 : $i]: (~ (p @ X1) | (p @ cx))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl48])).
% 0.56/0.76 thf(zip_derived_cl95, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 (~ (q @ cw) | ~ (q @ X1) | ~ (q @ (fz @ X1)) | (p @ cx) | (p @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl29, zip_derived_cl74])).
% 0.56/0.76 thf(clause_20, conjecture,
% 0.56/0.76 (~( ( q @ cw ) | ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 0.56/0.76 ( ~( q @ Z2 ) ) ))).
% 0.56/0.76 thf(zf_stmt_13, negated_conjecture,
% 0.56/0.76 (( q @ cw ) | ( p @ ( fy @ X1 ) ) | ( p @ X1 ) | ( p @ cx ) |
% 0.56/0.76 ( ~( q @ Z2 ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_20])).
% 0.56/0.76 thf(zip_derived_cl19, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ cw) | (p @ (fy @ X0)) | (p @ X0) | (p @ cx) | ~ (q @ X1))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/0.76 thf(zip_derived_cl74, plain, (![X1 : $i]: (~ (p @ X1) | (p @ cx))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl48])).
% 0.56/0.76 thf(zip_derived_cl85, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: (~ (q @ X1) | (p @ cx) | (p @ X0) | (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl19, zip_derived_cl74])).
% 0.56/0.76 thf(zip_derived_cl45, plain, (![X0 : $i]: (~ (p @ cx) | (p @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl42])).
% 0.56/0.76 thf(zip_derived_cl86, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ cw) | (p @ X0) | ~ (q @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl85, zip_derived_cl45])).
% 0.56/0.76 thf(zip_derived_cl37, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]: ( (q @ cw) | ~ (q @ X0) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl3])).
% 0.56/0.76 thf(zip_derived_cl87, plain, (![X1 : $i]: (~ (q @ X1) | (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl96, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (p @ X0) | (p @ cx) | ~ (q @ (fz @ X1)) | ~ (q @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl87])).
% 0.56/0.76 thf(zip_derived_cl74, plain, (![X1 : $i]: (~ (p @ X1) | (p @ cx))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl48])).
% 0.56/0.76 thf(zip_derived_cl97, plain,
% 0.56/0.76 (![X1 : $i]: (~ (q @ X1) | ~ (q @ (fz @ X1)) | (p @ cx))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl96, zip_derived_cl74])).
% 0.56/0.76 thf(clause_32, conjecture,
% 0.56/0.76 (~( ( q @ ( fz5 @ W9 ) ) | ( q @ W9 ) | ( q @ cw ) |
% 0.56/0.76 ( p @ ( fy5 @ X7 ) ) | ( p @ X7 ) | ( p @ cx ) ))).
% 0.56/0.76 thf(zf_stmt_14, negated_conjecture,
% 0.56/0.76 (( q @ ( fz5 @ W9 ) ) | ( q @ W9 ) | ( q @ cw ) | ( p @ ( fy5 @ X7 ) ) |
% 0.56/0.76 ( p @ X7 ) | ( p @ cx )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_32])).
% 0.56/0.76 thf(zip_derived_cl31, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ (fz5 @ X0))
% 0.56/0.76 | (q @ X0)
% 0.56/0.76 | (q @ cw)
% 0.56/0.76 | (p @ (fy5 @ X1))
% 0.56/0.76 | (p @ X1)
% 0.56/0.76 | (p @ cx))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.56/0.76 thf(zip_derived_cl87, plain, (![X1 : $i]: (~ (q @ X1) | (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl109, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (p @ cx) | (p @ X1) | (p @ (fy5 @ X1)) | (q @ cw) | (q @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl31, zip_derived_cl87])).
% 0.56/0.76 thf(zip_derived_cl45, plain, (![X0 : $i]: (~ (p @ cx) | (p @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl42])).
% 0.56/0.76 thf(zip_derived_cl110, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ X0) | (q @ cw) | (p @ (fy5 @ X1)) | (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl109, zip_derived_cl45])).
% 0.56/0.76 thf(zip_derived_cl87, plain, (![X1 : $i]: (~ (q @ X1) | (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl111, plain,
% 0.56/0.76 (![X1 : $i]: ( (p @ X1) | (p @ (fy5 @ X1)) | (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl110, zip_derived_cl87])).
% 0.56/0.76 thf(zip_derived_cl74, plain, (![X1 : $i]: (~ (p @ X1) | (p @ cx))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl48])).
% 0.56/0.76 thf(zip_derived_cl112, plain,
% 0.56/0.76 (![X0 : $i]: ( (q @ cw) | (p @ X0) | (p @ cx))),
% 0.56/0.76 inference('sup-', [status(thm)], [zip_derived_cl111, zip_derived_cl74])).
% 0.56/0.76 thf(zip_derived_cl115, plain, (( (q @ cw) | (p @ cx))),
% 0.56/0.76 inference('condensation', [status(thm)], [zip_derived_cl112])).
% 0.56/0.76 thf(zip_derived_cl57, plain, (![X0 : $i]: (~ (q @ cw) | (q @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl56, zip_derived_cl39])).
% 0.56/0.76 thf(zip_derived_cl118, plain, (![X0 : $i]: ( (p @ cx) | (q @ X0))),
% 0.56/0.76 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl57])).
% 0.56/0.76 thf(zip_derived_cl125, plain,
% 0.56/0.76 (![X0 : $i]: ( (p @ cx) | ~ (q @ X0) | (p @ cx))),
% 0.56/0.76 inference('sup+', [status(thm)], [zip_derived_cl97, zip_derived_cl118])).
% 0.56/0.76 thf(zip_derived_cl126, plain, (![X0 : $i]: (~ (q @ X0) | (p @ cx))),
% 0.56/0.76 inference('simplify', [status(thm)], [zip_derived_cl125])).
% 0.56/0.76 thf(zip_derived_cl118, plain, (![X0 : $i]: ( (p @ cx) | (q @ X0))),
% 0.56/0.76 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl57])).
% 0.56/0.76 thf(zip_derived_cl128, plain, ( (p @ cx)),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl126, zip_derived_cl118])).
% 0.56/0.76 thf(zip_derived_cl129, plain, (![X0 : $i]: (p @ X0)),
% 0.56/0.76 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl128])).
% 0.56/0.76 thf(zip_derived_cl129, plain, (![X0 : $i]: (p @ X0)),
% 0.56/0.76 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl128])).
% 0.56/0.76 thf(zip_derived_cl131, plain, (~ (q @ cw)),
% 0.56/0.76 inference('demod', [status(thm)],
% 0.56/0.76 [zip_derived_cl51, zip_derived_cl129, zip_derived_cl129])).
% 0.56/0.76 thf(clause_22, conjecture,
% 0.56/0.76 (~( ( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) |
% 0.56/0.76 ( ~( p @ ( fy @ X1 ) ) ) | ( ~( p @ X1 ) ) | ( ~( p @ cx ) ) ))).
% 0.56/0.76 thf(zf_stmt_15, negated_conjecture,
% 0.56/0.76 (( q @ ( fz @ W3 ) ) | ( q @ W3 ) | ( q @ cw ) |
% 0.56/0.76 ( ~( p @ ( fy @ X1 ) ) ) | ( ~( p @ X1 ) ) | ( ~( p @ cx ) )),
% 0.56/0.76 inference('cnf.neg', [status(esa)], [clause_22])).
% 0.56/0.76 thf(zip_derived_cl21, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ (fz @ X0))
% 0.56/0.76 | (q @ X0)
% 0.56/0.76 | (q @ cw)
% 0.56/0.76 | ~ (p @ (fy @ X1))
% 0.56/0.76 | ~ (p @ X1)
% 0.56/0.76 | ~ (p @ cx))),
% 0.56/0.76 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.56/0.76 thf(zip_derived_cl87, plain, (![X1 : $i]: (~ (q @ X1) | (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl92, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 (~ (p @ cx) | ~ (p @ X1) | ~ (p @ (fy @ X1)) | (q @ cw) | (q @ X0))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl21, zip_derived_cl87])).
% 0.56/0.76 thf(zip_derived_cl74, plain, (![X1 : $i]: (~ (p @ X1) | (p @ cx))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl73, zip_derived_cl48])).
% 0.56/0.76 thf(zip_derived_cl93, plain,
% 0.56/0.76 (![X0 : $i, X1 : $i]:
% 0.56/0.76 ( (q @ X0) | (q @ cw) | ~ (p @ (fy @ X1)) | ~ (p @ X1))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl92, zip_derived_cl74])).
% 0.56/0.76 thf(zip_derived_cl87, plain, (![X1 : $i]: (~ (q @ X1) | (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl86, zip_derived_cl37])).
% 0.56/0.76 thf(zip_derived_cl94, plain,
% 0.56/0.76 (![X1 : $i]: (~ (p @ X1) | ~ (p @ (fy @ X1)) | (q @ cw))),
% 0.56/0.76 inference('clc', [status(thm)], [zip_derived_cl93, zip_derived_cl87])).
% 0.56/0.76 thf(zip_derived_cl129, plain, (![X0 : $i]: (p @ X0)),
% 0.56/0.76 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl128])).
% 0.56/0.76 thf(zip_derived_cl129, plain, (![X0 : $i]: (p @ X0)),
% 0.56/0.76 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl128])).
% 0.56/0.76 thf(zip_derived_cl132, plain, ( (q @ cw)),
% 0.56/0.76 inference('demod', [status(thm)],
% 0.56/0.76 [zip_derived_cl94, zip_derived_cl129, zip_derived_cl129])).
% 0.56/0.76 thf(zip_derived_cl134, plain, ($false),
% 0.56/0.76 inference('demod', [status(thm)], [zip_derived_cl131, zip_derived_cl132])).
% 0.56/0.76
% 0.56/0.76 % SZS output end Refutation
% 0.56/0.76
% 0.56/0.76
% 0.56/0.76 % Terminating...
% 1.66/300.05 Alarm clock
% 1.66/300.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------