%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL949_4 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qTi7VJW7x5 true
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:37:39 PM UTC 2026
% Result : Theorem 3.92s 1.20s
% Output : Refutation 3.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL949_4 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qTi7VJW7x5 true
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 21:25:40 UTC 2026
% 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 3.12.3
% 0.13/0.37 % Running in FO mode
% 0.45/0.65 % Total configuration time : 435
% 0.45/0.65 % Estimated wc time : 1092
% 0.45/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 3.92/1.20 % Solved by fo/fo4.sh.
% 3.92/1.20 % done 235 iterations in 0.378s
% 3.92/1.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.92/1.20 % SZS output start Refutation
% 3.92/1.20 thf('$ki_world_type', type, '$ki_world': $tType).
% 3.92/1.20 thf(zip_tseitin_9_type, type, zip_tseitin_9: '$ki_world' > '$ki_world' >
% 3.92/1.20 $i > $i > $o).
% 3.92/1.20 thf(sk__14_type, type, sk__14: '$ki_world' > $i > $i > '$ki_world').
% 3.92/1.20 thf('$ki_accessible_type', type, '$ki_accessible': '$ki_world' > '$ki_world' > $o).
% 3.92/1.20 thf(zip_tseitin_10_type, type, zip_tseitin_10: '$ki_world' > '$ki_world' >
% 3.92/1.20 $i > $i > $o).
% 3.92/1.20 thf(sk__17_type, type, sk__17: '$ki_world').
% 3.92/1.20 thf(zip_tseitin_8_type, type, zip_tseitin_8: '$ki_world' > '$ki_world' >
% 3.92/1.20 $i > $i > $o).
% 3.92/1.20 thf('$ki_local_world_type', type, '$ki_local_world': '$ki_world').
% 3.92/1.20 thf(sk__18_type, type, sk__18: $i).
% 3.92/1.20 thf(subclass_type, type, subclass: '$ki_world' > $i > $i > $o).
% 3.92/1.20 thf(qmltpeq_type, type, qmltpeq: '$ki_world' > $i > $i > $o).
% 3.92/1.20 thf('$ki_exists_in_world_$i_type', type, '$ki_exists_in_world_$i': '$ki_world' >
% 3.92/1.20 $i > $o).
% 3.92/1.20 thf(zip_tseitin_11_type, type, zip_tseitin_11: '$ki_world' > $i > $i > $o).
% 3.92/1.20 thf(sk__19_type, type, sk__19: '$ki_world').
% 3.92/1.20 thf(mrel_reflexive, axiom, (![W:'$ki_world']: ( '$ki_accessible' @ W @ W ))).
% 3.92/1.20 thf(zip_derived_cl0, plain,
% 3.92/1.20 (![X0 : '$ki_world']: ('$ki_accessible' @ X0 @ X0)),
% 3.92/1.20 inference('cnf', [status(esa)], [mrel_reflexive])).
% 3.92/1.20 thf(zip_derived_cl0, plain,
% 3.92/1.20 (![X0 : '$ki_world']: ('$ki_accessible' @ X0 @ X0)),
% 3.92/1.20 inference('cnf', [status(esa)], [mrel_reflexive])).
% 3.92/1.20 thf(zip_derived_cl0, plain,
% 3.92/1.20 (![X0 : '$ki_world']: ('$ki_accessible' @ X0 @ X0)),
% 3.92/1.20 inference('cnf', [status(esa)], [mrel_reflexive])).
% 3.92/1.20 thf(zip_derived_cl0, plain,
% 3.92/1.20 (![X0 : '$ki_world']: ('$ki_accessible' @ X0 @ X0)),
% 3.92/1.20 inference('cnf', [status(esa)], [mrel_reflexive])).
% 3.92/1.20 thf(zip_derived_cl0, plain,
% 3.92/1.20 (![X0 : '$ki_world']: ('$ki_accessible' @ X0 @ X0)),
% 3.92/1.20 inference('cnf', [status(esa)], [mrel_reflexive])).
% 3.92/1.20 thf(extensionality, axiom,
% 3.92/1.20 (![W:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ '$ki_local_world' @ W ) =>
% 3.92/1.20 ( ![X:$i]:
% 3.92/1.20 ( ( '$ki_exists_in_world_$i' @ W @ X ) =>
% 3.92/1.20 ( ![W0:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W @ W0 ) =>
% 3.92/1.20 ( ![Y:$i]:
% 3.92/1.20 ( ( '$ki_exists_in_world_$i' @ W0 @ Y ) =>
% 3.92/1.20 ( ( ![W1:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 3.92/1.20 ( ( ( ![W2:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 3.92/1.20 ( subclass @ W2 @ Y @ X ) ) ) &
% 3.92/1.20 ( ![W2:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 3.92/1.20 ( subclass @ W2 @ X @ Y ) ) ) ) =>
% 3.92/1.20 ( ![W2:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 3.92/1.20 ( qmltpeq @ W2 @ X @ Y ) ) ) ) ) ) &
% 3.92/1.20 ( ![W1:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 3.92/1.20 ( ( ![W2:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 3.92/1.20 ( qmltpeq @ W2 @ X @ Y ) ) ) =>
% 3.92/1.20 ( ( ![W2:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 3.92/1.20 ( subclass @ W2 @ Y @ X ) ) ) &
% 3.92/1.20 ( ![W2:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 3.92/1.20 ( subclass @ W2 @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 3.92/1.20 thf(zf_stmt_0, axiom,
% 3.92/1.20 (![W2:'$ki_world',W1:'$ki_world',Y:$i,X:$i]:
% 3.92/1.20 ( ( ( '$ki_accessible' @ W1 @ W2 ) => ( qmltpeq @ W2 @ X @ Y ) ) =>
% 3.92/1.20 ( zip_tseitin_10 @ W2 @ W1 @ Y @ X ) ))).
% 3.92/1.20 thf(zip_derived_cl39, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : '$ki_world', X2 : $i, X3 : $i]:
% 3.92/1.20 ( (zip_tseitin_10 @ X0 @ X1 @ X2 @ X3) | ('$ki_accessible' @ X1 @ X0))),
% 3.92/1.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.92/1.20 thf(zf_stmt_1, type, zip_tseitin_11 : '$ki_world' > $i > $i > $o).
% 3.92/1.20 thf(zf_stmt_2, axiom,
% 3.92/1.20 (![W1:'$ki_world',Y:$i,X:$i]:
% 3.92/1.20 ( ( zip_tseitin_11 @ W1 @ Y @ X ) =>
% 3.92/1.20 ( ( ![W2:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W1 @ W2 ) => ( subclass @ W2 @ X @ Y ) ) ) &
% 3.92/1.20 ( ![W2:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W1 @ W2 ) => ( subclass @ W2 @ Y @ X ) ) ) ) ))).
% 3.92/1.20 thf(zf_stmt_3, type, zip_tseitin_10 :
% 3.92/1.20 '$ki_world' > '$ki_world' > $i > $i > $o).
% 3.92/1.20 thf(zf_stmt_4, type, zip_tseitin_9 : '$ki_world' > '$ki_world' > $i > $i > $o).
% 3.92/1.20 thf(zf_stmt_5, axiom,
% 3.92/1.20 (![W2:'$ki_world',W1:'$ki_world',Y:$i,X:$i]:
% 3.92/1.20 ( ( ( '$ki_accessible' @ W1 @ W2 ) => ( subclass @ W2 @ X @ Y ) ) =>
% 3.92/1.20 ( zip_tseitin_9 @ W2 @ W1 @ Y @ X ) ))).
% 3.92/1.20 thf(zf_stmt_6, type, zip_tseitin_8 : '$ki_world' > '$ki_world' > $i > $i > $o).
% 3.92/1.20 thf(zf_stmt_7, axiom,
% 3.92/1.20 (![W2:'$ki_world',W1:'$ki_world',Y:$i,X:$i]:
% 3.92/1.20 ( ( ( '$ki_accessible' @ W1 @ W2 ) => ( subclass @ W2 @ Y @ X ) ) =>
% 3.92/1.20 ( zip_tseitin_8 @ W2 @ W1 @ Y @ X ) ))).
% 3.92/1.20 thf(zf_stmt_8, axiom,
% 3.92/1.20 (![W:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ '$ki_local_world' @ W ) =>
% 3.92/1.20 ( ![X:$i]:
% 3.92/1.20 ( ( '$ki_exists_in_world_$i' @ W @ X ) =>
% 3.92/1.20 ( ![W0:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W @ W0 ) =>
% 3.92/1.20 ( ![Y:$i]:
% 3.92/1.20 ( ( '$ki_exists_in_world_$i' @ W0 @ Y ) =>
% 3.92/1.20 ( ( ![W1:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 3.92/1.20 ( ( ![W2:'$ki_world']:
% 3.92/1.20 ( zip_tseitin_10 @ W2 @ W1 @ Y @ X ) ) =>
% 3.92/1.20 ( zip_tseitin_11 @ W1 @ Y @ X ) ) ) ) &
% 3.92/1.20 ( ![W1:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 3.92/1.20 ( ( ( ![W2:'$ki_world']:
% 3.92/1.20 ( zip_tseitin_9 @ W2 @ W1 @ Y @ X ) ) &
% 3.92/1.20 ( ![W2:'$ki_world']:
% 3.92/1.20 ( zip_tseitin_8 @ W2 @ W1 @ Y @ X ) ) ) =>
% 3.92/1.20 ( ![W2:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 3.92/1.20 ( qmltpeq @ W2 @ X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 3.92/1.20 thf(zip_derived_cl42, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i, X2 : '$ki_world', X3 : $i, X4 : '$ki_world']:
% 3.92/1.20 (~ ('$ki_exists_in_world_$i' @ X0 @ X1)
% 3.92/1.20 | ~ ('$ki_exists_in_world_$i' @ X2 @ X3)
% 3.92/1.20 | ~ ('$ki_accessible' @ X2 @ X4)
% 3.92/1.20 | (zip_tseitin_11 @ X4 @ X3 @ X1)
% 3.92/1.20 | ~ (zip_tseitin_10 @ (sk__14 @ X4 @ X3 @ X1) @ X4 @ X3 @ X1)
% 3.92/1.20 | ~ ('$ki_accessible' @ X0 @ X2)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X0))),
% 3.92/1.20 inference('cnf', [status(esa)], [zf_stmt_8])).
% 3.92/1.20 thf('$ki_exists_in_world_$i_const', axiom,
% 3.92/1.20 (![W:'$ki_world',X:$i]: ( '$ki_exists_in_world_$i' @ W @ X ))).
% 3.92/1.20 thf(zip_derived_cl2, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i]: ('$ki_exists_in_world_$i' @ X0 @ X1)),
% 3.92/1.20 inference('cnf', [status(esa)], [$ki_exists_in_world_$i_const])).
% 3.92/1.20 thf(zip_derived_cl2, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i]: ('$ki_exists_in_world_$i' @ X0 @ X1)),
% 3.92/1.20 inference('cnf', [status(esa)], [$ki_exists_in_world_$i_const])).
% 3.92/1.20 thf(zip_derived_cl360, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i, X2 : '$ki_world', X3 : $i, X4 : '$ki_world']:
% 3.92/1.20 (~ ('$ki_accessible' @ X2 @ X4)
% 3.92/1.20 | (zip_tseitin_11 @ X4 @ X3 @ X1)
% 3.92/1.20 | ~ (zip_tseitin_10 @ (sk__14 @ X4 @ X3 @ X1) @ X4 @ X3 @ X1)
% 3.92/1.20 | ~ ('$ki_accessible' @ X0 @ X2)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X0))),
% 3.92/1.20 inference('demod', [status(thm)],
% 3.92/1.20 [zip_derived_cl42, zip_derived_cl2, zip_derived_cl2])).
% 3.92/1.20 thf(zip_derived_cl362, plain,
% 3.92/1.20 (![X0 : $i, X1 : $i, X2 : '$ki_world', X3 : '$ki_world', X4 : '$ki_world']:
% 3.92/1.20 ( ('$ki_accessible' @ X2 @ (sk__14 @ X2 @ X1 @ X0))
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X3)
% 3.92/1.20 | ~ ('$ki_accessible' @ X3 @ X4)
% 3.92/1.20 | (zip_tseitin_11 @ X2 @ X1 @ X0)
% 3.92/1.20 | ~ ('$ki_accessible' @ X4 @ X2))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl360])).
% 3.92/1.20 thf(zip_derived_cl771, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : '$ki_world', X2 : $i, X3 : $i]:
% 3.92/1.20 (~ ('$ki_accessible' @ X1 @ X0)
% 3.92/1.20 | (zip_tseitin_11 @ X0 @ X3 @ X2)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X1)
% 3.92/1.20 | ('$ki_accessible' @ X0 @ (sk__14 @ X0 @ X3 @ X2)))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl362])).
% 3.92/1.20 thf(zip_derived_cl787, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i, X2 : $i]:
% 3.92/1.20 ( ('$ki_accessible' @ X0 @ (sk__14 @ X0 @ X2 @ X1))
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X0)
% 3.92/1.20 | (zip_tseitin_11 @ X0 @ X2 @ X1))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl771])).
% 3.92/1.20 thf(zip_derived_cl830, plain,
% 3.92/1.20 (![X0 : $i, X1 : $i]:
% 3.92/1.20 ( (zip_tseitin_11 @ '$ki_local_world' @ X1 @ X0)
% 3.92/1.20 | ('$ki_accessible' @ '$ki_local_world' @
% 3.92/1.20 (sk__14 @ '$ki_local_world' @ X1 @ X0)))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl787])).
% 3.92/1.20 thf(zip_derived_cl0, plain,
% 3.92/1.20 (![X0 : '$ki_world']: ('$ki_accessible' @ X0 @ X0)),
% 3.92/1.20 inference('cnf', [status(esa)], [mrel_reflexive])).
% 3.92/1.20 thf(reflexivity, axiom,
% 3.92/1.20 (![W:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ '$ki_local_world' @ W ) =>
% 3.92/1.20 ( ![X:$i]:
% 3.92/1.20 ( ( '$ki_exists_in_world_$i' @ W @ X ) =>
% 3.92/1.20 ( ![W0:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W @ W0 ) => ( qmltpeq @ W0 @ X @ X ) ) ) ) ) ))).
% 3.92/1.20 thf(zip_derived_cl4, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i, X2 : '$ki_world']:
% 3.92/1.20 (~ ('$ki_exists_in_world_$i' @ X0 @ X1)
% 3.92/1.20 | (qmltpeq @ X2 @ X1 @ X1)
% 3.92/1.20 | ~ ('$ki_accessible' @ X0 @ X2)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X0))),
% 3.92/1.20 inference('cnf', [status(esa)], [reflexivity])).
% 3.92/1.20 thf(zip_derived_cl2, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i]: ('$ki_exists_in_world_$i' @ X0 @ X1)),
% 3.92/1.20 inference('cnf', [status(esa)], [$ki_exists_in_world_$i_const])).
% 3.92/1.20 thf(zip_derived_cl51, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i, X2 : '$ki_world']:
% 3.92/1.20 ( (qmltpeq @ X2 @ X1 @ X1)
% 3.92/1.20 | ~ ('$ki_accessible' @ X0 @ X2)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X0))),
% 3.92/1.20 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl2])).
% 3.92/1.20 thf(zip_derived_cl52, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i]:
% 3.92/1.20 (~ ('$ki_accessible' @ '$ki_local_world' @ X0)
% 3.92/1.20 | (qmltpeq @ X0 @ X1 @ X1))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl51])).
% 3.92/1.20 thf(zip_derived_cl38, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : '$ki_world', X2 : $i, X3 : $i]:
% 3.92/1.20 ( (zip_tseitin_10 @ X0 @ X1 @ X2 @ X3) | ~ (qmltpeq @ X0 @ X3 @ X2))),
% 3.92/1.20 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.92/1.20 thf(zip_derived_cl360, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : $i, X2 : '$ki_world', X3 : $i, X4 : '$ki_world']:
% 3.92/1.20 (~ ('$ki_accessible' @ X2 @ X4)
% 3.92/1.20 | (zip_tseitin_11 @ X4 @ X3 @ X1)
% 3.92/1.20 | ~ (zip_tseitin_10 @ (sk__14 @ X4 @ X3 @ X1) @ X4 @ X3 @ X1)
% 3.92/1.20 | ~ ('$ki_accessible' @ X0 @ X2)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X0))),
% 3.92/1.20 inference('demod', [status(thm)],
% 3.92/1.20 [zip_derived_cl42, zip_derived_cl2, zip_derived_cl2])).
% 3.92/1.20 thf(zip_derived_cl361, plain,
% 3.92/1.20 (![X0 : $i, X1 : $i, X2 : '$ki_world', X3 : '$ki_world', X4 : '$ki_world']:
% 3.92/1.20 (~ (qmltpeq @ (sk__14 @ X2 @ X1 @ X0) @ X0 @ X1)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X3)
% 3.92/1.20 | ~ ('$ki_accessible' @ X3 @ X4)
% 3.92/1.20 | (zip_tseitin_11 @ X2 @ X1 @ X0)
% 3.92/1.20 | ~ ('$ki_accessible' @ X4 @ X2))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl360])).
% 3.92/1.20 thf(zip_derived_cl607, plain,
% 3.92/1.20 (![X0 : $i, X1 : '$ki_world', X2 : '$ki_world', X3 : '$ki_world']:
% 3.92/1.20 (~ ('$ki_accessible' @ '$ki_local_world' @ (sk__14 @ X1 @ X0 @ X0))
% 3.92/1.20 | ~ ('$ki_accessible' @ X2 @ X1)
% 3.92/1.20 | (zip_tseitin_11 @ X1 @ X0 @ X0)
% 3.92/1.20 | ~ ('$ki_accessible' @ X3 @ X2)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X3))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl361])).
% 3.92/1.20 thf(zip_derived_cl866, plain,
% 3.92/1.20 (![X0 : $i, X1 : '$ki_world', X2 : '$ki_world']:
% 3.92/1.20 ( (zip_tseitin_11 @ '$ki_local_world' @ X0 @ X0)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X1)
% 3.92/1.20 | ~ ('$ki_accessible' @ X1 @ X2)
% 3.92/1.20 | (zip_tseitin_11 @ '$ki_local_world' @ X0 @ X0)
% 3.92/1.20 | ~ ('$ki_accessible' @ X2 @ '$ki_local_world'))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl830, zip_derived_cl607])).
% 3.92/1.20 thf(zip_derived_cl873, plain,
% 3.92/1.20 (![X0 : $i, X1 : '$ki_world', X2 : '$ki_world']:
% 3.92/1.20 (~ ('$ki_accessible' @ X2 @ '$ki_local_world')
% 3.92/1.20 | ~ ('$ki_accessible' @ X1 @ X2)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X1)
% 3.92/1.20 | (zip_tseitin_11 @ '$ki_local_world' @ X0 @ X0))),
% 3.92/1.20 inference('simplify', [status(thm)], [zip_derived_cl866])).
% 3.92/1.20 thf(zip_derived_cl942, plain,
% 3.92/1.20 (![X0 : $i, X1 : '$ki_world']:
% 3.92/1.20 ( (zip_tseitin_11 @ '$ki_local_world' @ X0 @ X0)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X1)
% 3.92/1.20 | ~ ('$ki_accessible' @ X1 @ '$ki_local_world'))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl873])).
% 3.92/1.20 thf(zip_derived_cl943, plain,
% 3.92/1.20 (![X0 : $i]:
% 3.92/1.20 (~ ('$ki_accessible' @ '$ki_local_world' @ '$ki_local_world')
% 3.92/1.20 | (zip_tseitin_11 @ '$ki_local_world' @ X0 @ X0))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl942])).
% 3.92/1.20 thf(zip_derived_cl0, plain,
% 3.92/1.20 (![X0 : '$ki_world']: ('$ki_accessible' @ X0 @ X0)),
% 3.92/1.20 inference('cnf', [status(esa)], [mrel_reflexive])).
% 3.92/1.20 thf(zip_derived_cl959, plain,
% 3.92/1.20 (![X0 : $i]: (zip_tseitin_11 @ '$ki_local_world' @ X0 @ X0)),
% 3.92/1.20 inference('demod', [status(thm)], [zip_derived_cl943, zip_derived_cl0])).
% 3.92/1.20 thf(zip_derived_cl40, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : '$ki_world', X2 : $i, X3 : $i]:
% 3.92/1.20 (~ ('$ki_accessible' @ X0 @ X1)
% 3.92/1.20 | (subclass @ X1 @ X2 @ X3)
% 3.92/1.20 | ~ (zip_tseitin_11 @ X0 @ X3 @ X2))),
% 3.92/1.20 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.92/1.20 thf(zip_derived_cl960, plain,
% 3.92/1.20 (![X0 : $i, X1 : '$ki_world']:
% 3.92/1.20 ( (subclass @ X1 @ X0 @ X0)
% 3.92/1.20 | ~ ('$ki_accessible' @ '$ki_local_world' @ X1))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl959, zip_derived_cl40])).
% 3.92/1.20 thf(verify, conjecture,
% 3.92/1.20 (![W:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ '$ki_local_world' @ W ) =>
% 3.92/1.20 ( ![X:$i]:
% 3.92/1.20 ( ( '$ki_exists_in_world_$i' @ W @ X ) =>
% 3.92/1.20 ( ![W0:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W @ W0 ) => ( subclass @ W0 @ X @ X ) ) ) ) ) ))).
% 3.92/1.20 thf(zf_stmt_9, negated_conjecture,
% 3.92/1.20 (~( ![W:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ '$ki_local_world' @ W ) =>
% 3.92/1.20 ( ![X:$i]:
% 3.92/1.20 ( ( '$ki_exists_in_world_$i' @ W @ X ) =>
% 3.92/1.20 ( ![W0:'$ki_world']:
% 3.92/1.20 ( ( '$ki_accessible' @ W @ W0 ) => ( subclass @ W0 @ X @ X ) ) ) ) ) ) )),
% 3.92/1.20 inference('cnf.neg', [status(esa)], [verify])).
% 3.92/1.20 thf(zip_derived_cl46, plain, (~ (subclass @ sk__19 @ sk__18 @ sk__18)),
% 3.92/1.20 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.92/1.20 thf(zip_derived_cl963, plain,
% 3.92/1.20 (~ ('$ki_accessible' @ '$ki_local_world' @ sk__19)),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl960, zip_derived_cl46])).
% 3.92/1.20 thf(zip_derived_cl44, plain,
% 3.92/1.20 ( ('$ki_accessible' @ '$ki_local_world' @ sk__17)),
% 3.92/1.20 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.92/1.20 thf(mrel_transitive, axiom,
% 3.92/1.20 (![W:'$ki_world',V:'$ki_world',U:'$ki_world']:
% 3.92/1.20 ( ( ( '$ki_accessible' @ W @ V ) & ( '$ki_accessible' @ V @ U ) ) =>
% 3.92/1.20 ( '$ki_accessible' @ W @ U ) ))).
% 3.92/1.20 thf(zip_derived_cl1, plain,
% 3.92/1.20 (![X0 : '$ki_world', X1 : '$ki_world', X2 : '$ki_world']:
% 3.92/1.20 (~ ('$ki_accessible' @ X0 @ X1)
% 3.92/1.20 | ~ ('$ki_accessible' @ X1 @ X2)
% 3.92/1.20 | ('$ki_accessible' @ X0 @ X2))),
% 3.92/1.20 inference('cnf', [status(esa)], [mrel_transitive])).
% 3.92/1.20 thf(zip_derived_cl53, plain,
% 3.92/1.20 (![X0 : '$ki_world']:
% 3.92/1.20 ( ('$ki_accessible' @ '$ki_local_world' @ X0)
% 3.92/1.20 | ~ ('$ki_accessible' @ sk__17 @ X0))),
% 3.92/1.20 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl1])).
% 3.92/1.20 thf(zip_derived_cl45, plain, ( ('$ki_accessible' @ sk__17 @ sk__19)),
% 3.92/1.20 inference('cnf', [status(esa)], [zf_stmt_9])).
% 3.92/1.20 thf(zip_derived_cl62, plain,
% 3.92/1.20 ( ('$ki_accessible' @ '$ki_local_world' @ sk__19)),
% 3.92/1.20 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl45])).
% 3.92/1.20 thf(zip_derived_cl996, plain, ($false),
% 3.92/1.20 inference('demod', [status(thm)], [zip_derived_cl963, zip_derived_cl62])).
% 3.92/1.20
% 3.92/1.20 % SZS output end Refutation
% 3.92/1.20
% 3.92/1.20
% 4.13/1.20 % Terminating...
% 4.13/1.25 % Runner terminated.
% 4.13/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------