%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN549+1 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.I7fDlHPpXL true
% Computer : n008.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 05:05:17 PM UTC 2025
% Result : Theorem 0.58s 1.01s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN549+1 : TPTP v9.2.0. Released v2.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.I7fDlHPpXL true
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:38:08 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.56/0.69 % Total configuration time : 435
% 0.56/0.69 % Estimated wc time : 1092
% 0.56/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.01 % Solved by fo/fo6_bce.sh.
% 0.58/1.01 % BCE start: 19
% 0.58/1.01 % BCE eliminated: 0
% 0.58/1.01 % PE start: 19
% 0.58/1.01 logic: neq
% 0.58/1.01 % PE eliminated: 3
% 0.58/1.01 % done 344 iterations in 0.247s
% 0.58/1.01 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.01 % SZS output start Refutation
% 0.58/1.01 thf(sk__1_type, type, sk__1: $i > $i).
% 0.58/1.01 thf(sk__2_type, type, sk__2: $i > $i).
% 0.58/1.01 thf(sk__4_type, type, sk__4: $i > $i).
% 0.58/1.01 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $o).
% 0.58/1.01 thf(initial_world_type, type, initial_world: $i).
% 0.58/1.01 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $o).
% 0.58/1.01 thf(sk__3_type, type, sk__3: $i > $i).
% 0.58/1.01 thf(reachable_type, type, reachable: $i > $i > $o).
% 0.58/1.01 thf(p_type, type, p: $i > $o).
% 0.58/1.01 thf(sk__type, type, sk_: $i > $i).
% 0.58/1.01 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 0.58/1.01 thf(q_type, type, q: $i > $o).
% 0.58/1.01 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $o).
% 0.58/1.01 thf(prove_this, conjecture,
% 0.58/1.01 (?[X:$i]:
% 0.58/1.01 ( ( reachable @ initial_world @ X ) &
% 0.58/1.01 ( ![Y:$i]:
% 0.58/1.01 ( ( reachable @ X @ Y ) =>
% 0.58/1.01 ( ( ?[Z:$i]:
% 0.58/1.01 ( ( reachable @ Y @ Z ) &
% 0.58/1.01 ( ( p @ Z ) |
% 0.58/1.01 ( ?[V:$i]: ( ( reachable @ Z @ V ) & ( q @ V ) ) ) ) ) ) <=>
% 0.58/1.01 ( ( ?[W:$i]: ( ( reachable @ Y @ W ) & ( q @ W ) ) ) |
% 0.58/1.01 ( ?[W:$i]: ( ( reachable @ Y @ W ) & ( p @ W ) ) ) ) ) ) ) ))).
% 0.58/1.01 thf(zf_stmt_0, axiom,
% 0.58/1.01 (![Y:$i]:
% 0.58/1.01 ( ( zip_tseitin_3 @ Y ) <=>
% 0.58/1.01 ( ( ?[W:$i]: ( zip_tseitin_2 @ W @ Y ) ) |
% 0.58/1.01 ( ?[W:$i]: ( zip_tseitin_1 @ W @ Y ) ) ) ))).
% 0.58/1.01 thf(zip_derived_cl12, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (zip_tseitin_1 @ (sk__1 @ X0) @ X0)
% 0.58/1.01 | (zip_tseitin_2 @ (sk__2 @ X0) @ X0)
% 0.58/1.01 | ~ (zip_tseitin_3 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.01 thf(zf_stmt_1, axiom,
% 0.58/1.01 (![W:$i,Y:$i]:
% 0.58/1.01 ( ( zip_tseitin_1 @ W @ Y ) <=> ( ( q @ W ) & ( reachable @ Y @ W ) ) ))).
% 0.58/1.01 thf(zip_derived_cl6, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]: ( (q @ X0) | ~ (zip_tseitin_1 @ X0 @ X1))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.01 thf(zip_derived_cl27, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (zip_tseitin_2 @ (sk__2 @ X0) @ X0)
% 0.58/1.01 | (q @ (sk__1 @ X0)))),
% 0.58/1.01 inference('dp-resolution', [status(thm)],
% 0.58/1.01 [zip_derived_cl12, zip_derived_cl6])).
% 0.58/1.01 thf(zf_stmt_2, axiom,
% 0.58/1.01 (![W:$i,Y:$i]:
% 0.58/1.01 ( ( zip_tseitin_2 @ W @ Y ) <=> ( ( p @ W ) & ( reachable @ Y @ W ) ) ))).
% 0.58/1.01 thf(zip_derived_cl10, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (reachable @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/1.01 thf(zip_derived_cl88, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (q @ (sk__1 @ X0))
% 0.58/1.01 | ~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (reachable @ X0 @ (sk__2 @ X0)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl10])).
% 0.58/1.01 thf(zip_derived_cl12, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (zip_tseitin_1 @ (sk__1 @ X0) @ X0)
% 0.58/1.01 | (zip_tseitin_2 @ (sk__2 @ X0) @ X0)
% 0.58/1.01 | ~ (zip_tseitin_3 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.01 thf(zip_derived_cl7, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (reachable @ X0 @ X1) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.01 thf(zip_derived_cl28, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (zip_tseitin_2 @ (sk__2 @ X0) @ X0)
% 0.58/1.01 | (reachable @ X0 @ (sk__1 @ X0)))),
% 0.58/1.01 inference('dp-resolution', [status(thm)],
% 0.58/1.01 [zip_derived_cl12, zip_derived_cl7])).
% 0.58/1.01 thf(zip_derived_cl9, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]: ( (p @ X0) | ~ (zip_tseitin_2 @ X0 @ X1))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/1.01 thf(zf_stmt_3, axiom,
% 0.58/1.01 (![Z:$i]:
% 0.58/1.01 ( ( zip_tseitin_0 @ Z ) <=>
% 0.58/1.01 ( ( ?[V:$i]: ( ( q @ V ) & ( reachable @ Z @ V ) ) ) | ( p @ Z ) ) ))).
% 0.58/1.01 thf(zip_derived_cl5, plain,
% 0.58/1.01 (![X0 : $i]: ( (zip_tseitin_0 @ X0) | ~ (p @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.01 thf(zip_derived_cl38, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 (~ (zip_tseitin_2 @ X0 @ X1) | (zip_tseitin_0 @ X0))),
% 0.58/1.01 inference('dp-resolution', [status(thm)],
% 0.58/1.01 [zip_derived_cl9, zip_derived_cl5])).
% 0.58/1.01 thf(zip_derived_cl100, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (reachable @ X0 @ (sk__1 @ X0))
% 0.58/1.01 | ~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (zip_tseitin_0 @ (sk__2 @ X0)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl38])).
% 0.58/1.01 thf(zip_derived_cl4, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (zip_tseitin_0 @ X0) | ~ (q @ X1) | ~ (reachable @ X0 @ X1))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.01 thf(zip_derived_cl437, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (zip_tseitin_0 @ (sk__2 @ X0))
% 0.58/1.01 | ~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (zip_tseitin_0 @ X0)
% 0.58/1.01 | ~ (q @ (sk__1 @ X0)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl100, zip_derived_cl4])).
% 0.58/1.01 thf(zip_derived_cl27, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (zip_tseitin_2 @ (sk__2 @ X0) @ X0)
% 0.58/1.01 | (q @ (sk__1 @ X0)))),
% 0.58/1.01 inference('dp-resolution', [status(thm)],
% 0.58/1.01 [zip_derived_cl12, zip_derived_cl6])).
% 0.58/1.01 thf(zip_derived_cl38, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 (~ (zip_tseitin_2 @ X0 @ X1) | (zip_tseitin_0 @ X0))),
% 0.58/1.01 inference('dp-resolution', [status(thm)],
% 0.58/1.01 [zip_derived_cl9, zip_derived_cl5])).
% 0.58/1.01 thf(zip_derived_cl87, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (q @ (sk__1 @ X0))
% 0.58/1.01 | ~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (zip_tseitin_0 @ (sk__2 @ X0)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl38])).
% 0.58/1.01 thf(zip_derived_cl500, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (zip_tseitin_0 @ X0)
% 0.58/1.01 | ~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (zip_tseitin_0 @ (sk__2 @ X0)))),
% 0.58/1.01 inference('clc', [status(thm)], [zip_derived_cl437, zip_derived_cl87])).
% 0.58/1.01 thf(zip_derived_cl28, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (zip_tseitin_2 @ (sk__2 @ X0) @ X0)
% 0.58/1.01 | (reachable @ X0 @ (sk__1 @ X0)))),
% 0.58/1.01 inference('dp-resolution', [status(thm)],
% 0.58/1.01 [zip_derived_cl12, zip_derived_cl7])).
% 0.58/1.01 thf(zip_derived_cl10, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (reachable @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/1.01 thf(zip_derived_cl101, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (reachable @ X0 @ (sk__1 @ X0))
% 0.58/1.01 | ~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (reachable @ X0 @ (sk__2 @ X0)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl10])).
% 0.58/1.01 thf(zf_stmt_4, type, zip_tseitin_3 : $i > $o).
% 0.58/1.01 thf(zf_stmt_5, type, zip_tseitin_2 : $i > $i > $o).
% 0.58/1.01 thf(zf_stmt_6, type, zip_tseitin_1 : $i > $i > $o).
% 0.58/1.01 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $o).
% 0.58/1.01 thf(zf_stmt_8, conjecture,
% 0.58/1.01 (?[X:$i]:
% 0.58/1.01 ( ( ![Y:$i]:
% 0.58/1.01 ( ( reachable @ X @ Y ) =>
% 0.58/1.01 ( ( ?[Z:$i]: ( ( zip_tseitin_0 @ Z ) & ( reachable @ Y @ Z ) ) ) <=>
% 0.58/1.01 ( zip_tseitin_3 @ Y ) ) ) ) &
% 0.58/1.01 ( reachable @ initial_world @ X ) ))).
% 0.58/1.01 thf(zf_stmt_9, negated_conjecture,
% 0.58/1.01 (~( ?[X:$i]:
% 0.58/1.01 ( ( ![Y:$i]:
% 0.58/1.01 ( ( reachable @ X @ Y ) =>
% 0.58/1.01 ( ( ?[Z:$i]: ( ( zip_tseitin_0 @ Z ) & ( reachable @ Y @ Z ) ) ) <=>
% 0.58/1.01 ( zip_tseitin_3 @ Y ) ) ) ) &
% 0.58/1.01 ( reachable @ initial_world @ X ) ) )),
% 0.58/1.01 inference('cnf.neg', [status(esa)], [zf_stmt_8])).
% 0.58/1.01 thf(zip_derived_cl15, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (reachable @ (sk__3 @ X0) @ (sk__4 @ X0))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (reachable @ initial_world @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/1.01 thf(zip_derived_cl3, plain,
% 0.58/1.01 (![X0 : $i]: ( (p @ X0) | (q @ (sk_ @ X0)) | ~ (zip_tseitin_0 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.01 thf(zip_derived_cl11, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (zip_tseitin_2 @ X0 @ X1) | ~ (reachable @ X1 @ X0) | ~ (p @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/1.01 thf(zip_derived_cl37, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 (~ (zip_tseitin_0 @ X0)
% 0.58/1.01 | (q @ (sk_ @ X0))
% 0.58/1.01 | ~ (reachable @ X1 @ X0)
% 0.58/1.01 | (zip_tseitin_2 @ X0 @ X1))),
% 0.58/1.01 inference('dp-resolution', [status(thm)],
% 0.58/1.01 [zip_derived_cl3, zip_derived_cl11])).
% 0.58/1.01 thf(zip_derived_cl142, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (reachable @ initial_world @ X0)
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (zip_tseitin_0 @ (sk__4 @ X0))
% 0.58/1.01 | (q @ (sk_ @ (sk__4 @ X0)))
% 0.58/1.01 | (zip_tseitin_2 @ (sk__4 @ X0) @ (sk__3 @ X0)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl37])).
% 0.58/1.01 thf(zip_derived_cl16, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (zip_tseitin_0 @ (sk__4 @ X0))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (reachable @ initial_world @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/1.01 thf(zip_derived_cl529, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (zip_tseitin_2 @ (sk__4 @ X0) @ (sk__3 @ X0))
% 0.58/1.01 | (q @ (sk_ @ (sk__4 @ X0)))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (reachable @ initial_world @ X0))),
% 0.58/1.01 inference('clc', [status(thm)], [zip_derived_cl142, zip_derived_cl16])).
% 0.58/1.01 thf(zip_derived_cl13, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (zip_tseitin_3 @ X0) | ~ (zip_tseitin_2 @ X1 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.01 thf(zip_derived_cl530, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (reachable @ initial_world @ X0)
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | (q @ (sk_ @ (sk__4 @ X0))))),
% 0.58/1.01 inference('clc', [status(thm)], [zip_derived_cl529, zip_derived_cl13])).
% 0.58/1.01 thf(zip_derived_cl15, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (reachable @ (sk__3 @ X0) @ (sk__4 @ X0))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (reachable @ initial_world @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/1.01 thf(zip_derived_cl2, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (p @ X0) | (reachable @ X0 @ (sk_ @ X0)) | ~ (zip_tseitin_0 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.01 thf(zip_derived_cl11, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (zip_tseitin_2 @ X0 @ X1) | ~ (reachable @ X1 @ X0) | ~ (p @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.58/1.01 thf(zip_derived_cl35, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 (~ (zip_tseitin_0 @ X0)
% 0.58/1.01 | (reachable @ X0 @ (sk_ @ X0))
% 0.58/1.01 | ~ (reachable @ X1 @ X0)
% 0.58/1.01 | (zip_tseitin_2 @ X0 @ X1))),
% 0.58/1.01 inference('dp-resolution', [status(thm)],
% 0.58/1.01 [zip_derived_cl2, zip_derived_cl11])).
% 0.58/1.01 thf(zip_derived_cl123, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (reachable @ initial_world @ X0)
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (zip_tseitin_0 @ (sk__4 @ X0))
% 0.58/1.01 | (reachable @ (sk__4 @ X0) @ (sk_ @ (sk__4 @ X0)))
% 0.58/1.01 | (zip_tseitin_2 @ (sk__4 @ X0) @ (sk__3 @ X0)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl35])).
% 0.58/1.01 thf(zip_derived_cl16, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (zip_tseitin_0 @ (sk__4 @ X0))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (reachable @ initial_world @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/1.01 thf(zip_derived_cl351, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (zip_tseitin_2 @ (sk__4 @ X0) @ (sk__3 @ X0))
% 0.58/1.01 | (reachable @ (sk__4 @ X0) @ (sk_ @ (sk__4 @ X0)))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (reachable @ initial_world @ X0))),
% 0.58/1.01 inference('clc', [status(thm)], [zip_derived_cl123, zip_derived_cl16])).
% 0.58/1.01 thf(zip_derived_cl13, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (zip_tseitin_3 @ X0) | ~ (zip_tseitin_2 @ X1 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.01 thf(zip_derived_cl352, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (reachable @ initial_world @ X0)
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | (reachable @ (sk__4 @ X0) @ (sk_ @ (sk__4 @ X0))))),
% 0.58/1.01 inference('clc', [status(thm)], [zip_derived_cl351, zip_derived_cl13])).
% 0.58/1.01 thf(reflexivity_of_reachable, axiom, (![X:$i]: ( reachable @ X @ X ))).
% 0.58/1.01 thf(zip_derived_cl0, plain, (![X0 : $i]: (reachable @ X0 @ X0)),
% 0.58/1.01 inference('cnf', [status(esa)], [reflexivity_of_reachable])).
% 0.58/1.01 thf(zip_derived_cl15, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (reachable @ (sk__3 @ X0) @ (sk__4 @ X0))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (reachable @ initial_world @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/1.01 thf(transitivity_of_reachable, axiom,
% 0.58/1.01 (![X:$i,Y:$i,Z:$i]:
% 0.58/1.01 ( ( ( reachable @ X @ Y ) & ( reachable @ Y @ Z ) ) =>
% 0.58/1.01 ( reachable @ X @ Z ) ))).
% 0.58/1.01 thf(zip_derived_cl1, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/1.01 (~ (reachable @ X0 @ X1)
% 0.58/1.01 | ~ (reachable @ X1 @ X2)
% 0.58/1.01 | (reachable @ X0 @ X2))),
% 0.58/1.01 inference('cnf', [status(esa)], [transitivity_of_reachable])).
% 0.58/1.01 thf(zip_derived_cl69, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 (~ (reachable @ initial_world @ X0)
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (reachable @ (sk__4 @ X0) @ X1)
% 0.58/1.01 | (reachable @ (sk__3 @ X0) @ X1))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl1])).
% 0.58/1.01 thf(zip_derived_cl110, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | ~ (reachable @ (sk__4 @ initial_world) @ X0)
% 0.58/1.01 | (reachable @ (sk__3 @ initial_world) @ X0))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl69])).
% 0.58/1.01 thf(zip_derived_cl360, plain,
% 0.58/1.01 (( (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | ~ (reachable @ initial_world @ initial_world)
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | (reachable @ (sk__3 @ initial_world) @
% 0.58/1.01 (sk_ @ (sk__4 @ initial_world))))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl352, zip_derived_cl110])).
% 0.58/1.01 thf(zip_derived_cl0, plain, (![X0 : $i]: (reachable @ X0 @ X0)),
% 0.58/1.01 inference('cnf', [status(esa)], [reflexivity_of_reachable])).
% 0.58/1.01 thf(zip_derived_cl366, plain,
% 0.58/1.01 (( (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | (reachable @ (sk__3 @ initial_world) @
% 0.58/1.01 (sk_ @ (sk__4 @ initial_world))))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl360, zip_derived_cl0])).
% 0.58/1.01 thf(zip_derived_cl367, plain,
% 0.58/1.01 (( (reachable @ (sk__3 @ initial_world) @ (sk_ @ (sk__4 @ initial_world)))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('simplify', [status(thm)], [zip_derived_cl366])).
% 0.58/1.01 thf(zip_derived_cl8, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (zip_tseitin_1 @ X0 @ X1) | ~ (reachable @ X1 @ X0) | ~ (q @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/1.01 thf(zip_derived_cl14, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (zip_tseitin_3 @ X0) | ~ (zip_tseitin_1 @ X1 @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/1.01 thf(zip_derived_cl29, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 (~ (q @ X1) | ~ (reachable @ X0 @ X1) | (zip_tseitin_3 @ X0))),
% 0.58/1.01 inference('dp-resolution', [status(thm)],
% 0.58/1.01 [zip_derived_cl8, zip_derived_cl14])).
% 0.58/1.01 thf(zip_derived_cl481, plain,
% 0.58/1.01 (( (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | ~ (q @ (sk_ @ (sk__4 @ initial_world)))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl367, zip_derived_cl29])).
% 0.58/1.01 thf(zip_derived_cl486, plain,
% 0.58/1.01 ((~ (q @ (sk_ @ (sk__4 @ initial_world)))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('simplify', [status(thm)], [zip_derived_cl481])).
% 0.58/1.01 thf(zip_derived_cl533, plain,
% 0.58/1.01 (( (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | ~ (reachable @ initial_world @ initial_world)
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl530, zip_derived_cl486])).
% 0.58/1.01 thf(zip_derived_cl0, plain, (![X0 : $i]: (reachable @ X0 @ X0)),
% 0.58/1.01 inference('cnf', [status(esa)], [reflexivity_of_reachable])).
% 0.58/1.01 thf(zip_derived_cl534, plain,
% 0.58/1.01 (( (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | (zip_tseitin_3 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl533, zip_derived_cl0])).
% 0.58/1.01 thf(zip_derived_cl535, plain, ( (zip_tseitin_3 @ (sk__3 @ initial_world))),
% 0.58/1.01 inference('simplify', [status(thm)], [zip_derived_cl534])).
% 0.58/1.01 thf(zip_derived_cl17, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 (~ (zip_tseitin_0 @ X1)
% 0.58/1.01 | ~ (reachable @ (sk__3 @ X0) @ X1)
% 0.58/1.01 | ~ (zip_tseitin_3 @ (sk__3 @ X0))
% 0.58/1.01 | ~ (reachable @ initial_world @ X0))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.58/1.01 thf(zip_derived_cl537, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (zip_tseitin_0 @ X0)
% 0.58/1.01 | ~ (reachable @ (sk__3 @ initial_world) @ X0)
% 0.58/1.01 | ~ (reachable @ initial_world @ initial_world))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl535, zip_derived_cl17])).
% 0.58/1.01 thf(zip_derived_cl0, plain, (![X0 : $i]: (reachable @ X0 @ X0)),
% 0.58/1.01 inference('cnf', [status(esa)], [reflexivity_of_reachable])).
% 0.58/1.01 thf(zip_derived_cl538, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (zip_tseitin_0 @ X0) | ~ (reachable @ (sk__3 @ initial_world) @ X0))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl537, zip_derived_cl0])).
% 0.58/1.01 thf(zip_derived_cl542, plain,
% 0.58/1.01 ((~ (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | (reachable @ (sk__3 @ initial_world) @
% 0.58/1.01 (sk__1 @ (sk__3 @ initial_world)))
% 0.58/1.01 | ~ (zip_tseitin_0 @ (sk__2 @ (sk__3 @ initial_world))))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl538])).
% 0.58/1.01 thf(zip_derived_cl535, plain, ( (zip_tseitin_3 @ (sk__3 @ initial_world))),
% 0.58/1.01 inference('simplify', [status(thm)], [zip_derived_cl534])).
% 0.58/1.01 thf(zip_derived_cl549, plain,
% 0.58/1.01 (( (reachable @ (sk__3 @ initial_world) @
% 0.58/1.01 (sk__1 @ (sk__3 @ initial_world)))
% 0.58/1.01 | ~ (zip_tseitin_0 @ (sk__2 @ (sk__3 @ initial_world))))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl542, zip_derived_cl535])).
% 0.58/1.01 thf(zip_derived_cl574, plain,
% 0.58/1.01 ((~ (zip_tseitin_3 @ (sk__3 @ initial_world))
% 0.58/1.01 | (zip_tseitin_0 @ (sk__3 @ initial_world))
% 0.58/1.01 | (reachable @ (sk__3 @ initial_world) @
% 0.58/1.01 (sk__1 @ (sk__3 @ initial_world))))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl500, zip_derived_cl549])).
% 0.58/1.01 thf(zip_derived_cl535, plain, ( (zip_tseitin_3 @ (sk__3 @ initial_world))),
% 0.58/1.01 inference('simplify', [status(thm)], [zip_derived_cl534])).
% 0.58/1.01 thf(zip_derived_cl0, plain, (![X0 : $i]: (reachable @ X0 @ X0)),
% 0.58/1.01 inference('cnf', [status(esa)], [reflexivity_of_reachable])).
% 0.58/1.01 thf(zip_derived_cl538, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (zip_tseitin_0 @ X0) | ~ (reachable @ (sk__3 @ initial_world) @ X0))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl537, zip_derived_cl0])).
% 0.58/1.01 thf(zip_derived_cl539, plain, (~ (zip_tseitin_0 @ (sk__3 @ initial_world))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl538])).
% 0.58/1.01 thf(zip_derived_cl577, plain,
% 0.58/1.01 ( (reachable @ (sk__3 @ initial_world) @
% 0.58/1.01 (sk__1 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('demod', [status(thm)],
% 0.58/1.01 [zip_derived_cl574, zip_derived_cl535, zip_derived_cl539])).
% 0.58/1.01 thf(zip_derived_cl4, plain,
% 0.58/1.01 (![X0 : $i, X1 : $i]:
% 0.58/1.01 ( (zip_tseitin_0 @ X0) | ~ (q @ X1) | ~ (reachable @ X0 @ X1))),
% 0.58/1.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.58/1.01 thf(zip_derived_cl594, plain,
% 0.58/1.01 (( (zip_tseitin_0 @ (sk__3 @ initial_world))
% 0.58/1.01 | ~ (q @ (sk__1 @ (sk__3 @ initial_world))))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl577, zip_derived_cl4])).
% 0.58/1.01 thf(zip_derived_cl539, plain, (~ (zip_tseitin_0 @ (sk__3 @ initial_world))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl538])).
% 0.58/1.01 thf(zip_derived_cl601, plain, (~ (q @ (sk__1 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl594, zip_derived_cl539])).
% 0.58/1.01 thf(zip_derived_cl1154, plain,
% 0.58/1.01 (( (reachable @ (sk__3 @ initial_world) @
% 0.58/1.01 (sk__2 @ (sk__3 @ initial_world)))
% 0.58/1.01 | ~ (zip_tseitin_3 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl601])).
% 0.58/1.01 thf(zip_derived_cl535, plain, ( (zip_tseitin_3 @ (sk__3 @ initial_world))),
% 0.58/1.01 inference('simplify', [status(thm)], [zip_derived_cl534])).
% 0.58/1.01 thf(zip_derived_cl1190, plain,
% 0.58/1.01 ( (reachable @ (sk__3 @ initial_world) @
% 0.58/1.01 (sk__2 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl1154, zip_derived_cl535])).
% 0.58/1.01 thf(zip_derived_cl538, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 (~ (zip_tseitin_0 @ X0) | ~ (reachable @ (sk__3 @ initial_world) @ X0))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl537, zip_derived_cl0])).
% 0.58/1.01 thf(zip_derived_cl1205, plain,
% 0.58/1.01 (~ (zip_tseitin_0 @ (sk__2 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('s_sup-', [status(thm)],
% 0.58/1.01 [zip_derived_cl1190, zip_derived_cl538])).
% 0.58/1.01 thf(zip_derived_cl87, plain,
% 0.58/1.01 (![X0 : $i]:
% 0.58/1.01 ( (q @ (sk__1 @ X0))
% 0.58/1.01 | ~ (zip_tseitin_3 @ X0)
% 0.58/1.01 | (zip_tseitin_0 @ (sk__2 @ X0)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl38])).
% 0.58/1.01 thf(zip_derived_cl601, plain, (~ (q @ (sk__1 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl594, zip_derived_cl539])).
% 0.58/1.01 thf(zip_derived_cl614, plain,
% 0.58/1.01 (( (zip_tseitin_0 @ (sk__2 @ (sk__3 @ initial_world)))
% 0.58/1.01 | ~ (zip_tseitin_3 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('s_sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl601])).
% 0.58/1.01 thf(zip_derived_cl535, plain, ( (zip_tseitin_3 @ (sk__3 @ initial_world))),
% 0.58/1.01 inference('simplify', [status(thm)], [zip_derived_cl534])).
% 0.58/1.01 thf(zip_derived_cl615, plain,
% 0.58/1.01 ( (zip_tseitin_0 @ (sk__2 @ (sk__3 @ initial_world)))),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl614, zip_derived_cl535])).
% 0.58/1.01 thf(zip_derived_cl1210, plain, ($false),
% 0.58/1.01 inference('demod', [status(thm)], [zip_derived_cl1205, zip_derived_cl615])).
% 0.58/1.01
% 0.58/1.01 % SZS output end Refutation
% 0.58/1.01
% 0.58/1.01
% 0.58/1.01 % Terminating...
% 3.10/1.09 % Runner terminated.
% 3.10/1.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------