%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN550+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.BS9MZ03Uk3 true
% Computer : n021.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 2.31s 2.74s
% Output : Refutation 2.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.86 % Problem : SYN550+1 : TPTP v9.2.0. Released v2.2.0.
% 0.12/0.96 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BS9MZ03Uk3 true
% 0.14/1.30 % Computer : n021.cluster.edu
% 0.14/1.30 % Model : x86_64 x86_64
% 0.14/1.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.30 % Memory : 8042.1875MB
% 0.14/1.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/1.30 % CPULimit : 300
% 0.14/1.30 % WCLimit : 300
% 0.14/1.31 % DateTime : Wed Oct 1 13:27:39 EDT 2025
% 0.14/1.32 % CPUTime :
% 0.14/1.32 % Running portfolio for 300 s
% 0.14/1.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/1.33 % Number of cores: 8
% 0.18/1.35 % Python version: Python 3.6.8
% 0.18/1.37 % Running in FO mode
% 0.44/1.86 % Total configuration time : 435
% 0.44/1.86 % Estimated wc time : 1092
% 0.44/1.86 % Estimated cpu time (7 cpus) : 156.0
% 0.46/2.19 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/2.20 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/2.21 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/2.22 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.46/2.22 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/2.24 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/2.24 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 2.31/2.74 % Solved by fo/fo3_bce.sh.
% 2.31/2.74 % BCE start: 18
% 2.31/2.74 % BCE eliminated: 0
% 2.31/2.74 % PE start: 18
% 2.31/2.74 logic: neq
% 2.31/2.74 % PE eliminated: 0
% 2.31/2.74 % done 363 iterations in 0.418s
% 2.31/2.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 2.31/2.74 % SZS output start Refutation
% 2.31/2.74 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 2.31/2.74 thf(sk__3_type, type, sk__3: $i > $i).
% 2.31/2.74 thf(sk__5_type, type, sk__5: $i).
% 2.31/2.74 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $o).
% 2.31/2.74 thf(sk__type, type, sk_: $i > $i).
% 2.31/2.74 thf(initial_world_type, type, initial_world: $i).
% 2.31/2.74 thf(sk__1_type, type, sk__1: $i > $i).
% 2.31/2.74 thf(sk__4_type, type, sk__4: $i).
% 2.31/2.74 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $o).
% 2.31/2.74 thf(sk__2_type, type, sk__2: $i > $i).
% 2.31/2.74 thf(reachable_type, type, reachable: $i > $i > $o).
% 2.31/2.74 thf(p_type, type, p: $i > $o).
% 2.31/2.74 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 2.31/2.74 thf(prove_this, conjecture,
% 2.31/2.74 (( ?[X:$i]:
% 2.31/2.74 ( ( reachable @ initial_world @ X ) &
% 2.31/2.74 ( ![Y:$i]: ( ( reachable @ X @ Y ) => ( p @ Y ) ) ) ) ) <=>
% 2.31/2.74 ( ?[X:$i]:
% 2.31/2.74 ( ( reachable @ initial_world @ X ) &
% 2.31/2.74 ( ![Y:$i]:
% 2.31/2.74 ( ( reachable @ X @ Y ) =>
% 2.31/2.74 ( ?[Z:$i]:
% 2.31/2.74 ( ( reachable @ Y @ Z ) &
% 2.31/2.74 ( ![W:$i]: ( ( reachable @ Z @ W ) => ( p @ W ) ) ) ) ) ) ) ) ))).
% 2.31/2.74 thf(zf_stmt_0, type, zip_tseitin_3 : $i > $o).
% 2.31/2.74 thf(zf_stmt_1, axiom,
% 2.31/2.74 (![X:$i]:
% 2.31/2.74 ( ( zip_tseitin_3 @ X ) <=>
% 2.31/2.74 ( ( ![Y:$i]:
% 2.31/2.74 ( ( reachable @ X @ Y ) => ( ?[Z:$i]: ( zip_tseitin_2 @ Z @ Y ) ) ) ) &
% 2.31/2.74 ( reachable @ initial_world @ X ) ) ))).
% 2.31/2.74 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $o).
% 2.31/2.74 thf(zf_stmt_3, axiom,
% 2.31/2.74 (![Z:$i,Y:$i]:
% 2.31/2.74 ( ( zip_tseitin_2 @ Z @ Y ) <=>
% 2.31/2.74 ( ( ![W:$i]: ( ( reachable @ Z @ W ) => ( p @ W ) ) ) &
% 2.31/2.74 ( reachable @ Y @ Z ) ) ))).
% 2.31/2.74 thf(zf_stmt_4, type, zip_tseitin_1 : $i > $o).
% 2.31/2.74 thf(zf_stmt_5, axiom,
% 2.31/2.74 (![X:$i]:
% 2.31/2.74 ( ( zip_tseitin_1 @ X ) <=>
% 2.31/2.74 ( ( ![Y:$i]: ( zip_tseitin_0 @ Y @ X ) ) &
% 2.31/2.74 ( reachable @ initial_world @ X ) ) ))).
% 2.31/2.74 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > $o).
% 2.31/2.74 thf(zf_stmt_7, axiom,
% 2.31/2.74 (![Y:$i,X:$i]:
% 2.31/2.74 ( ( zip_tseitin_0 @ Y @ X ) <=> ( ( reachable @ X @ Y ) => ( p @ Y ) ) ))).
% 2.31/2.74 thf(zf_stmt_8, conjecture,
% 2.31/2.74 (( ?[X:$i]: ( zip_tseitin_1 @ X ) ) <=> ( ?[X:$i]: ( zip_tseitin_3 @ X ) ))).
% 2.31/2.74 thf(zf_stmt_9, negated_conjecture,
% 2.31/2.74 (~( ( ?[X:$i]: ( zip_tseitin_1 @ X ) ) <=>
% 2.31/2.74 ( ?[X:$i]: ( zip_tseitin_3 @ X ) ) )),
% 2.31/2.74 inference('cnf.neg', [status(esa)], [zf_stmt_8])).
% 2.31/2.74 thf(zip_derived_cl16, plain,
% 2.31/2.74 (( (zip_tseitin_3 @ sk__4) | (zip_tseitin_1 @ sk__5))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.31/2.74 thf(zip_derived_cl5, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (zip_tseitin_0 @ X0 @ X1) | ~ (zip_tseitin_1 @ X1))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.31/2.74 thf(zip_derived_cl27, plain,
% 2.31/2.74 (![X0 : $i]: ( (zip_tseitin_3 @ sk__4) | (zip_tseitin_0 @ X0 @ sk__5))),
% 2.31/2.74 inference('dp-resolution', [status(thm)],
% 2.31/2.74 [zip_derived_cl16, zip_derived_cl5])).
% 2.31/2.74 thf(zip_derived_cl2, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (reachable @ X0 @ X1) | (p @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.31/2.74 thf(zip_derived_cl11, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (zip_tseitin_2 @ X0 @ X1)
% 2.31/2.74 | ~ (reachable @ X1 @ X0)
% 2.31/2.74 | ~ (p @ (sk__1 @ X0)))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.31/2.74 thf(zip_derived_cl21, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.31/2.74 (~ (zip_tseitin_0 @ (sk__1 @ X0) @ X2)
% 2.31/2.74 | ~ (reachable @ X2 @ (sk__1 @ X0))
% 2.31/2.74 | ~ (reachable @ X1 @ X0)
% 2.31/2.74 | (zip_tseitin_2 @ X0 @ X1))),
% 2.31/2.74 inference('dp-resolution', [status(thm)],
% 2.31/2.74 [zip_derived_cl2, zip_derived_cl11])).
% 2.31/2.74 thf(zip_derived_cl100, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (zip_tseitin_3 @ sk__4)
% 2.31/2.74 | (zip_tseitin_2 @ X0 @ X1)
% 2.31/2.74 | ~ (reachable @ X1 @ X0)
% 2.31/2.74 | ~ (reachable @ sk__5 @ (sk__1 @ X0)))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 2.31/2.74 thf(reflexivity_of_reachable, axiom, (![X:$i]: ( reachable @ X @ X ))).
% 2.31/2.74 thf(zip_derived_cl0, plain, (![X0 : $i]: (reachable @ X0 @ X0)),
% 2.31/2.74 inference('cnf', [status(esa)], [reflexivity_of_reachable])).
% 2.31/2.74 thf(zip_derived_cl12, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (reachable @ X0 @ X1)
% 2.31/2.74 | (zip_tseitin_2 @ (sk__3 @ X1) @ X1)
% 2.31/2.74 | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.31/2.74 thf(zip_derived_cl55, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 (~ (zip_tseitin_3 @ X0) | (zip_tseitin_2 @ (sk__3 @ X0) @ X0))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 2.31/2.74 thf(zip_derived_cl9, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (reachable @ X0 @ X1) | ~ (zip_tseitin_2 @ X1 @ X0))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.31/2.74 thf(zip_derived_cl101, plain,
% 2.31/2.74 (![X0 : $i]: (~ (zip_tseitin_3 @ X0) | (reachable @ X0 @ (sk__3 @ X0)))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl9])).
% 2.31/2.74 thf(zip_derived_cl13, plain,
% 2.31/2.74 (![X0 : $i]: ( (reachable @ initial_world @ X0) | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.31/2.74 thf(transitivity_of_reachable, axiom,
% 2.31/2.74 (![X:$i,Y:$i,Z:$i]:
% 2.31/2.74 ( ( ( reachable @ X @ Y ) & ( reachable @ Y @ Z ) ) =>
% 2.31/2.74 ( reachable @ X @ Z ) ))).
% 2.31/2.74 thf(zip_derived_cl1, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.31/2.74 (~ (reachable @ X0 @ X1)
% 2.31/2.74 | ~ (reachable @ X1 @ X2)
% 2.31/2.74 | (reachable @ X0 @ X2))),
% 2.31/2.74 inference('cnf', [status(esa)], [transitivity_of_reachable])).
% 2.31/2.74 thf(zip_derived_cl32, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (zip_tseitin_3 @ X0)
% 2.31/2.74 | (reachable @ initial_world @ X1)
% 2.31/2.74 | ~ (reachable @ X0 @ X1))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl1])).
% 2.31/2.74 thf(zip_derived_cl136, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 (~ (zip_tseitin_3 @ X0)
% 2.31/2.74 | (reachable @ initial_world @ (sk__3 @ X0))
% 2.31/2.74 | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl101, zip_derived_cl32])).
% 2.31/2.74 thf(zip_derived_cl151, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 ( (reachable @ initial_world @ (sk__3 @ X0)) | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('simplify', [status(thm)], [zip_derived_cl136])).
% 2.31/2.74 thf(zip_derived_cl4, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (zip_tseitin_0 @ X0 @ X1) | (reachable @ X1 @ X0))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.31/2.74 thf(zip_derived_cl7, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 ( (zip_tseitin_1 @ X0)
% 2.31/2.74 | ~ (reachable @ initial_world @ X0)
% 2.31/2.74 | ~ (zip_tseitin_0 @ (sk_ @ X0) @ X0))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.31/2.74 thf(zip_derived_cl17, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]: (~ (zip_tseitin_3 @ X0) | ~ (zip_tseitin_1 @ X1))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.31/2.74 thf(zip_derived_cl26, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (zip_tseitin_0 @ (sk_ @ X1) @ X1)
% 2.31/2.74 | ~ (reachable @ initial_world @ X1)
% 2.31/2.74 | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('dp-resolution', [status(thm)],
% 2.31/2.74 [zip_derived_cl7, zip_derived_cl17])).
% 2.31/2.74 thf(zip_derived_cl41, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (reachable @ X0 @ (sk_ @ X0))
% 2.31/2.74 | ~ (zip_tseitin_3 @ X1)
% 2.31/2.74 | ~ (reachable @ initial_world @ X0))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl26])).
% 2.31/2.74 thf(zip_derived_cl160, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (zip_tseitin_3 @ X0)
% 2.31/2.74 | ~ (zip_tseitin_3 @ X1)
% 2.31/2.74 | (reachable @ (sk__3 @ X0) @ (sk_ @ (sk__3 @ X0))))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl41])).
% 2.31/2.74 thf(zip_derived_cl266, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 ( (reachable @ (sk__3 @ X0) @ (sk_ @ (sk__3 @ X0)))
% 2.31/2.74 | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('condensation', [status(thm)], [zip_derived_cl160])).
% 2.31/2.74 thf(zip_derived_cl55, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 (~ (zip_tseitin_3 @ X0) | (zip_tseitin_2 @ (sk__3 @ X0) @ X0))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl12])).
% 2.31/2.74 thf(zip_derived_cl8, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.31/2.74 (~ (reachable @ X0 @ X1) | (p @ X1) | ~ (zip_tseitin_2 @ X0 @ X2))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.31/2.74 thf(zip_derived_cl3, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (p @ X0))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_7])).
% 2.31/2.74 thf(zip_derived_cl22, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 2.31/2.74 (~ (zip_tseitin_2 @ X3 @ X2)
% 2.31/2.74 | ~ (reachable @ X3 @ X1)
% 2.31/2.74 | (zip_tseitin_0 @ X1 @ X0))),
% 2.31/2.74 inference('dp-resolution', [status(thm)],
% 2.31/2.74 [zip_derived_cl8, zip_derived_cl3])).
% 2.31/2.74 thf(zip_derived_cl102, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.31/2.74 (~ (zip_tseitin_3 @ X0)
% 2.31/2.74 | (zip_tseitin_0 @ X2 @ X1)
% 2.31/2.74 | ~ (reachable @ (sk__3 @ X0) @ X2))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl22])).
% 2.31/2.74 thf(zip_derived_cl542, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (zip_tseitin_3 @ X0)
% 2.31/2.74 | (zip_tseitin_0 @ (sk_ @ (sk__3 @ X0)) @ X1)
% 2.31/2.74 | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl266, zip_derived_cl102])).
% 2.31/2.74 thf(zip_derived_cl543, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (zip_tseitin_0 @ (sk_ @ (sk__3 @ X0)) @ X1) | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('simplify', [status(thm)], [zip_derived_cl542])).
% 2.31/2.74 thf(zip_derived_cl26, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (zip_tseitin_0 @ (sk_ @ X1) @ X1)
% 2.31/2.74 | ~ (reachable @ initial_world @ X1)
% 2.31/2.74 | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('dp-resolution', [status(thm)],
% 2.31/2.74 [zip_derived_cl7, zip_derived_cl17])).
% 2.31/2.74 thf(zip_derived_cl568, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (zip_tseitin_3 @ X0)
% 2.31/2.74 | ~ (zip_tseitin_3 @ X1)
% 2.31/2.74 | ~ (reachable @ initial_world @ (sk__3 @ X0)))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl543, zip_derived_cl26])).
% 2.31/2.74 thf(zip_derived_cl569, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 (~ (reachable @ initial_world @ (sk__3 @ X0)) | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('condensation', [status(thm)], [zip_derived_cl568])).
% 2.31/2.74 thf(zip_derived_cl151, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 ( (reachable @ initial_world @ (sk__3 @ X0)) | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('simplify', [status(thm)], [zip_derived_cl136])).
% 2.31/2.74 thf(zip_derived_cl570, plain, (![X0 : $i]: ~ (zip_tseitin_3 @ X0)),
% 2.31/2.74 inference('clc', [status(thm)], [zip_derived_cl569, zip_derived_cl151])).
% 2.31/2.74 thf(zip_derived_cl580, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (zip_tseitin_2 @ X0 @ X1)
% 2.31/2.74 | ~ (reachable @ X1 @ X0)
% 2.31/2.74 | ~ (reachable @ sk__5 @ (sk__1 @ X0)))),
% 2.31/2.74 inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl570])).
% 2.31/2.74 thf(zip_derived_cl15, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (zip_tseitin_3 @ X0)
% 2.31/2.74 | ~ (reachable @ initial_world @ X0)
% 2.31/2.74 | ~ (zip_tseitin_2 @ X1 @ (sk__2 @ X0)))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.31/2.74 thf(zip_derived_cl570, plain, (![X0 : $i]: ~ (zip_tseitin_3 @ X0)),
% 2.31/2.74 inference('clc', [status(thm)], [zip_derived_cl569, zip_derived_cl151])).
% 2.31/2.74 thf(zip_derived_cl572, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (reachable @ initial_world @ X0)
% 2.31/2.74 | ~ (zip_tseitin_2 @ X1 @ (sk__2 @ X0)))),
% 2.31/2.74 inference('demod', [status(thm)], [zip_derived_cl15, zip_derived_cl570])).
% 2.31/2.74 thf(zip_derived_cl639, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (reachable @ sk__5 @ (sk__1 @ X1))
% 2.31/2.74 | ~ (reachable @ (sk__2 @ X0) @ X1)
% 2.31/2.74 | ~ (reachable @ initial_world @ X0))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl580, zip_derived_cl572])).
% 2.31/2.74 thf(zip_derived_cl0, plain, (![X0 : $i]: (reachable @ X0 @ X0)),
% 2.31/2.74 inference('cnf', [status(esa)], [reflexivity_of_reachable])).
% 2.31/2.74 thf(zip_derived_cl643, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 (~ (reachable @ initial_world @ X0)
% 2.31/2.74 | ~ (reachable @ sk__5 @ (sk__1 @ (sk__2 @ X0))))),
% 2.31/2.74 inference('sup+', [status(thm)], [zip_derived_cl639, zip_derived_cl0])).
% 2.31/2.74 thf(zip_derived_cl16, plain,
% 2.31/2.74 (( (zip_tseitin_3 @ sk__4) | (zip_tseitin_1 @ sk__5))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.31/2.74 thf(zip_derived_cl6, plain,
% 2.31/2.74 (![X0 : $i]: ( (reachable @ initial_world @ X0) | ~ (zip_tseitin_1 @ X0))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_5])).
% 2.31/2.74 thf(zip_derived_cl28, plain,
% 2.31/2.74 (( (zip_tseitin_3 @ sk__4) | (reachable @ initial_world @ sk__5))),
% 2.31/2.74 inference('dp-resolution', [status(thm)],
% 2.31/2.74 [zip_derived_cl16, zip_derived_cl6])).
% 2.31/2.74 thf(zip_derived_cl14, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 ( (zip_tseitin_3 @ X0)
% 2.31/2.74 | ~ (reachable @ initial_world @ X0)
% 2.31/2.74 | (reachable @ X0 @ (sk__2 @ X0)))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.31/2.74 thf(zip_derived_cl81, plain,
% 2.31/2.74 (( (zip_tseitin_3 @ sk__4)
% 2.31/2.74 | (reachable @ sk__5 @ (sk__2 @ sk__5))
% 2.31/2.74 | (zip_tseitin_3 @ sk__5))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl14])).
% 2.31/2.74 thf(zip_derived_cl16, plain,
% 2.31/2.74 (( (zip_tseitin_3 @ sk__4) | (zip_tseitin_1 @ sk__5))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.31/2.74 thf(zip_derived_cl17, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]: (~ (zip_tseitin_3 @ X0) | ~ (zip_tseitin_1 @ X1))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_9])).
% 2.31/2.74 thf(zip_derived_cl29, plain,
% 2.31/2.74 (![X0 : $i]: ( (zip_tseitin_3 @ sk__4) | ~ (zip_tseitin_3 @ X0))),
% 2.31/2.74 inference('dp-resolution', [status(thm)],
% 2.31/2.74 [zip_derived_cl16, zip_derived_cl17])).
% 2.31/2.74 thf(zip_derived_cl402, plain,
% 2.31/2.74 (( (reachable @ sk__5 @ (sk__2 @ sk__5)) | (zip_tseitin_3 @ sk__4))),
% 2.31/2.74 inference('clc', [status(thm)], [zip_derived_cl81, zip_derived_cl29])).
% 2.31/2.74 thf(zip_derived_cl1, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 2.31/2.74 (~ (reachable @ X0 @ X1)
% 2.31/2.74 | ~ (reachable @ X1 @ X2)
% 2.31/2.74 | (reachable @ X0 @ X2))),
% 2.31/2.74 inference('cnf', [status(esa)], [transitivity_of_reachable])).
% 2.31/2.74 thf(zip_derived_cl403, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 ( (zip_tseitin_3 @ sk__4)
% 2.31/2.74 | (reachable @ sk__5 @ X0)
% 2.31/2.74 | ~ (reachable @ (sk__2 @ sk__5) @ X0))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl402, zip_derived_cl1])).
% 2.31/2.74 thf(zip_derived_cl570, plain, (![X0 : $i]: ~ (zip_tseitin_3 @ X0)),
% 2.31/2.74 inference('clc', [status(thm)], [zip_derived_cl569, zip_derived_cl151])).
% 2.31/2.74 thf(zip_derived_cl582, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 ( (reachable @ sk__5 @ X0) | ~ (reachable @ (sk__2 @ sk__5) @ X0))),
% 2.31/2.74 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl570])).
% 2.31/2.74 thf(zip_derived_cl0, plain, (![X0 : $i]: (reachable @ X0 @ X0)),
% 2.31/2.74 inference('cnf', [status(esa)], [reflexivity_of_reachable])).
% 2.31/2.74 thf(zip_derived_cl15, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (zip_tseitin_3 @ X0)
% 2.31/2.74 | ~ (reachable @ initial_world @ X0)
% 2.31/2.74 | ~ (zip_tseitin_2 @ X1 @ (sk__2 @ X0)))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 2.31/2.74 thf(zip_derived_cl10, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 ( (zip_tseitin_2 @ X0 @ X1)
% 2.31/2.74 | ~ (reachable @ X1 @ X0)
% 2.31/2.74 | (reachable @ X0 @ (sk__1 @ X0)))),
% 2.31/2.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 2.31/2.74 thf(zip_derived_cl53, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (reachable @ initial_world @ X0)
% 2.31/2.74 | (zip_tseitin_3 @ X0)
% 2.31/2.74 | (reachable @ X1 @ (sk__1 @ X1))
% 2.31/2.74 | ~ (reachable @ (sk__2 @ X0) @ X1))),
% 2.31/2.74 inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl10])).
% 2.31/2.74 thf(zip_derived_cl570, plain, (![X0 : $i]: ~ (zip_tseitin_3 @ X0)),
% 2.31/2.74 inference('clc', [status(thm)], [zip_derived_cl569, zip_derived_cl151])).
% 2.31/2.74 thf(zip_derived_cl577, plain,
% 2.31/2.74 (![X0 : $i, X1 : $i]:
% 2.31/2.74 (~ (reachable @ initial_world @ X0)
% 2.31/2.74 | (reachable @ X1 @ (sk__1 @ X1))
% 2.31/2.74 | ~ (reachable @ (sk__2 @ X0) @ X1))),
% 2.31/2.74 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl570])).
% 2.31/2.74 thf(zip_derived_cl678, plain,
% 2.31/2.74 (![X0 : $i]:
% 2.31/2.74 ( (reachable @ (sk__2 @ X0) @ (sk__1 @ (sk__2 @ X0)))
% 2.31/2.74 | ~ (reachable @ initial_world @ X0))),
% 2.31/2.74 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl577])).
% 2.31/2.74 thf(zip_derived_cl894, plain,
% 2.31/2.74 (( (reachable @ sk__5 @ (sk__1 @ (sk__2 @ sk__5)))
% 2.31/2.74 | ~ (reachable @ initial_world @ sk__5))),
% 2.31/2.74 inference('sup+', [status(thm)], [zip_derived_cl582, zip_derived_cl678])).
% 2.31/2.74 thf(zip_derived_cl28, plain,
% 2.31/2.74 (( (zip_tseitin_3 @ sk__4) | (reachable @ initial_world @ sk__5))),
% 2.31/2.74 inference('dp-resolution', [status(thm)],
% 2.31/2.74 [zip_derived_cl16, zip_derived_cl6])).
% 2.31/2.74 thf(zip_derived_cl570, plain, (![X0 : $i]: ~ (zip_tseitin_3 @ X0)),
% 2.31/2.74 inference('clc', [status(thm)], [zip_derived_cl569, zip_derived_cl151])).
% 2.31/2.74 thf(zip_derived_cl574, plain, ( (reachable @ initial_world @ sk__5)),
% 2.31/2.74 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl570])).
% 2.31/2.74 thf(zip_derived_cl908, plain,
% 2.31/2.74 ( (reachable @ sk__5 @ (sk__1 @ (sk__2 @ sk__5)))),
% 2.31/2.74 inference('demod', [status(thm)], [zip_derived_cl894, zip_derived_cl574])).
% 2.31/2.74 thf(zip_derived_cl960, plain, (~ (reachable @ initial_world @ sk__5)),
% 2.31/2.74 inference('sup+', [status(thm)], [zip_derived_cl643, zip_derived_cl908])).
% 2.31/2.74 thf(zip_derived_cl574, plain, ( (reachable @ initial_world @ sk__5)),
% 2.31/2.74 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl570])).
% 2.31/2.74 thf(zip_derived_cl961, plain, ($false),
% 2.31/2.74 inference('demod', [status(thm)], [zip_derived_cl960, zip_derived_cl574])).
% 2.31/2.74
% 2.31/2.74 % SZS output end Refutation
% 2.31/2.74
% 2.31/2.74
% 2.31/2.74 % Terminating...
% 3.01/2.93 % Runner terminated.
% 3.01/2.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------