%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL950_17 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qqC3XyDosn true
% Computer : n006.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 0.49s 0.78s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL950_17 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qqC3XyDosn true
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 5 17:17:01 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Running portfolio for 300 s
% 0.12/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.12.3
% 0.12/0.38 % Running in FO mode
% 0.46/0.67 % Total configuration time : 435
% 0.46/0.67 % Estimated wc time : 1092
% 0.46/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.78 % Solved by fo/fo6_bce.sh.
% 0.49/0.78 % BCE start: 27
% 0.49/0.78 % BCE eliminated: 0
% 0.49/0.78 % PE start: 27
% 0.49/0.78 logic: neq
% 0.49/0.78 % PE eliminated: 2
% 0.49/0.78 % done 31 iterations in 0.018s
% 0.49/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.78 % SZS output start Refutation
% 0.49/0.78 thf('$ki_world_type', type, '$ki_world': $tType).
% 0.49/0.78 thf(sk__4_type, type, sk__4: $i > '$ki_world' > $i > '$ki_world').
% 0.49/0.78 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > '$ki_world' > $i > $i > $o).
% 0.49/0.78 thf(sk__13_type, type, sk__13: '$ki_world').
% 0.49/0.78 thf(sk__9_type, type, sk__9: $i).
% 0.49/0.78 thf('$ki_accessible_type', type, '$ki_accessible': '$ki_world' > '$ki_world' > $o).
% 0.49/0.78 thf(member_type, type, member: '$ki_world' > $i > $i > $o).
% 0.49/0.78 thf('$ki_exists_in_world_$i_type', type, '$ki_exists_in_world_$i': '$ki_world' >
% 0.49/0.78 $i > $o).
% 0.49/0.78 thf(sk__12_type, type, sk__12: '$ki_world').
% 0.49/0.78 thf(intersect_type, type, intersect: '$ki_world' > $i > $i > $o).
% 0.49/0.78 thf(sk__7_type, type, sk__7: $i).
% 0.49/0.78 thf(zip_tseitin_2_type, type, zip_tseitin_2: '$ki_world' > '$ki_world' >
% 0.49/0.78 $i > $i > $o).
% 0.49/0.78 thf(zip_tseitin_0_type, type, zip_tseitin_0: '$ki_world' > $i >
% 0.49/0.78 '$ki_world' > $i > $o).
% 0.49/0.78 thf('$ki_local_world_type', type, '$ki_local_world': '$ki_world').
% 0.49/0.78 thf(sk__3_type, type, sk__3: $i > '$ki_world' > $i > '$ki_world').
% 0.49/0.78 thf(zip_tseitin_1_type, type, zip_tseitin_1: '$ki_world' > $i >
% 0.49/0.78 '$ki_world' > $i > $o).
% 0.49/0.78 thf(sk__11_type, type, sk__11: $i).
% 0.49/0.78 thf(verify, conjecture,
% 0.49/0.78 (![W:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ '$ki_local_world' @ W ) =>
% 0.49/0.78 ( ![B:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W @ B ) =>
% 0.49/0.78 ( ![W0:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W @ W0 ) =>
% 0.49/0.78 ( ![C:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W0 @ C ) =>
% 0.49/0.78 ( ![W1:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 0.49/0.78 ( ![D:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W1 @ D ) =>
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 0.49/0.78 ( ( ( ![W3:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W2 @ W3 ) =>
% 0.49/0.78 ( member @ W3 @ B @ C ) ) ) &
% 0.49/0.78 ( ![W3:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W2 @ W3 ) =>
% 0.49/0.78 ( member @ W3 @ B @ D ) ) ) ) =>
% 0.49/0.78 ( ![W3:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W2 @ W3 ) =>
% 0.49/0.78 ( intersect @ W3 @ C @ D ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.49/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.49/0.78 (~( ![W:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ '$ki_local_world' @ W ) =>
% 0.49/0.78 ( ![B:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W @ B ) =>
% 0.49/0.78 ( ![W0:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W @ W0 ) =>
% 0.49/0.78 ( ![C:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W0 @ C ) =>
% 0.49/0.78 ( ![W1:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 0.49/0.78 ( ![D:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W1 @ D ) =>
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 0.49/0.78 ( ( ( ![W3:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W2 @ W3 ) =>
% 0.49/0.78 ( member @ W3 @ B @ C ) ) ) &
% 0.49/0.78 ( ![W3:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W2 @ W3 ) =>
% 0.49/0.78 ( member @ W3 @ B @ D ) ) ) ) =>
% 0.49/0.78 ( ![W3:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W2 @ W3 ) =>
% 0.49/0.78 ( intersect @ W3 @ C @ D ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.49/0.78 inference('cnf.neg', [status(esa)], [verify])).
% 0.49/0.78 thf(zip_derived_cl20, plain, (~ (intersect @ sk__13 @ sk__9 @ sk__11)),
% 0.49/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.78 thf(zip_derived_cl22, plain,
% 0.49/0.78 (![X0 : '$ki_world']:
% 0.49/0.78 ( (member @ X0 @ sk__7 @ sk__11) | ~ ('$ki_accessible' @ sk__12 @ X0))),
% 0.49/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.78 thf(mrel_universal, axiom,
% 0.49/0.78 (![W:'$ki_world',V:'$ki_world']: ( '$ki_accessible' @ W @ V ))).
% 0.49/0.78 thf(zip_derived_cl0, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : '$ki_world']: ('$ki_accessible' @ X0 @ X1)),
% 0.49/0.78 inference('cnf', [status(esa)], [mrel_universal])).
% 0.49/0.78 thf(zip_derived_cl49, plain,
% 0.49/0.78 (![X0 : '$ki_world']: (member @ X0 @ sk__7 @ sk__11)),
% 0.49/0.78 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl0])).
% 0.49/0.78 thf(intersect_defn, axiom,
% 0.49/0.78 (![W:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ '$ki_local_world' @ W ) =>
% 0.49/0.78 ( ![B:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W @ B ) =>
% 0.49/0.78 ( ![W0:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W @ W0 ) =>
% 0.49/0.78 ( ![C:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W0 @ C ) =>
% 0.49/0.78 ( ( ![W1:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 0.49/0.78 ( ( ?[D:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W1 @ D ) &
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 0.49/0.78 ( member @ W2 @ D @ B ) ) ) &
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 0.49/0.78 ( member @ W2 @ D @ C ) ) ) ) ) =>
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 0.49/0.78 ( intersect @ W2 @ B @ C ) ) ) ) ) ) &
% 0.49/0.78 ( ![W1:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 0.49/0.78 ( ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 0.49/0.78 ( intersect @ W2 @ B @ C ) ) ) =>
% 0.49/0.78 ( ?[D:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W1 @ D ) &
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 0.49/0.78 ( member @ W2 @ D @ B ) ) ) &
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 0.49/0.78 ( member @ W2 @ D @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.49/0.78 thf(zf_stmt_1, axiom,
% 0.49/0.78 (![W2:'$ki_world',D:$i,W1:'$ki_world',C:$i]:
% 0.49/0.78 ( ( ( '$ki_accessible' @ W1 @ W2 ) => ( member @ W2 @ D @ C ) ) =>
% 0.49/0.78 ( zip_tseitin_1 @ W2 @ D @ W1 @ C ) ))).
% 0.49/0.78 thf(zip_derived_cl5, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : $i, X2 : '$ki_world', X3 : $i]:
% 0.49/0.78 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3) | ~ (member @ X0 @ X1 @ X3))),
% 0.49/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.49/0.78 thf(zip_derived_cl23, plain,
% 0.49/0.78 (![X1 : '$ki_world']:
% 0.49/0.78 ( (member @ X1 @ sk__7 @ sk__9) | ~ ('$ki_accessible' @ sk__12 @ X1))),
% 0.49/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.78 thf(zip_derived_cl0, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : '$ki_world']: ('$ki_accessible' @ X0 @ X1)),
% 0.49/0.78 inference('cnf', [status(esa)], [mrel_universal])).
% 0.49/0.78 thf(zip_derived_cl50, plain,
% 0.49/0.78 (![X1 : '$ki_world']: (member @ X1 @ sk__7 @ sk__9)),
% 0.49/0.78 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl0])).
% 0.49/0.78 thf(zf_stmt_2, axiom,
% 0.49/0.78 (![W2:'$ki_world',D:$i,W1:'$ki_world',B:$i]:
% 0.49/0.78 ( ( ( '$ki_accessible' @ W1 @ W2 ) => ( member @ W2 @ D @ B ) ) =>
% 0.49/0.78 ( zip_tseitin_0 @ W2 @ D @ W1 @ B ) ))).
% 0.49/0.78 thf(zip_derived_cl3, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : $i, X2 : '$ki_world', X3 : $i]:
% 0.49/0.78 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3) | ~ (member @ X0 @ X1 @ X3))),
% 0.49/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.49/0.78 thf(zf_stmt_3, type, zip_tseitin_3 : $i > '$ki_world' > $i > $i > $o).
% 0.49/0.78 thf(zf_stmt_4, axiom,
% 0.49/0.78 (![D:$i,W1:'$ki_world',C:$i,B:$i]:
% 0.49/0.78 ( ( zip_tseitin_3 @ D @ W1 @ C @ B ) =>
% 0.49/0.78 ( ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) => ( member @ W2 @ D @ C ) ) ) &
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) => ( member @ W2 @ D @ B ) ) ) &
% 0.49/0.78 ( '$ki_exists_in_world_$i' @ W1 @ D ) ) ))).
% 0.49/0.78 thf(zf_stmt_5, type, zip_tseitin_2 : '$ki_world' > '$ki_world' > $i > $i > $o).
% 0.49/0.78 thf(zf_stmt_6, axiom,
% 0.49/0.78 (![W2:'$ki_world',W1:'$ki_world',C:$i,B:$i]:
% 0.49/0.78 ( ( ( '$ki_accessible' @ W1 @ W2 ) => ( intersect @ W2 @ B @ C ) ) =>
% 0.49/0.78 ( zip_tseitin_2 @ W2 @ W1 @ C @ B ) ))).
% 0.49/0.78 thf(zf_stmt_7, type, zip_tseitin_1 : '$ki_world' > $i > '$ki_world' > $i > $o).
% 0.49/0.78 thf(zf_stmt_8, type, zip_tseitin_0 : '$ki_world' > $i > '$ki_world' > $i > $o).
% 0.49/0.78 thf(zf_stmt_9, axiom,
% 0.49/0.78 (![W:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ '$ki_local_world' @ W ) =>
% 0.49/0.78 ( ![B:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W @ B ) =>
% 0.49/0.78 ( ![W0:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W @ W0 ) =>
% 0.49/0.78 ( ![C:$i]:
% 0.49/0.78 ( ( '$ki_exists_in_world_$i' @ W0 @ C ) =>
% 0.49/0.78 ( ( ![W1:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 0.49/0.78 ( ( ![W2:'$ki_world']:
% 0.49/0.78 ( zip_tseitin_2 @ W2 @ W1 @ C @ B ) ) =>
% 0.49/0.78 ( ?[D:$i]: ( zip_tseitin_3 @ D @ W1 @ C @ B ) ) ) ) ) &
% 0.49/0.78 ( ![W1:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W0 @ W1 ) =>
% 0.49/0.78 ( ( ?[D:$i]:
% 0.49/0.78 ( ( ![W2:'$ki_world']:
% 0.49/0.78 ( zip_tseitin_1 @ W2 @ D @ W1 @ C ) ) &
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( zip_tseitin_0 @ W2 @ D @ W1 @ B ) ) &
% 0.49/0.78 ( '$ki_exists_in_world_$i' @ W1 @ D ) ) ) =>
% 0.49/0.78 ( ![W2:'$ki_world']:
% 0.49/0.78 ( ( '$ki_accessible' @ W1 @ W2 ) =>
% 0.49/0.78 ( intersect @ W2 @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.49/0.78 thf(zip_derived_cl13, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : $i, X2 : '$ki_world', X3 : $i,
% 0.49/0.78 X4 : '$ki_world', X5 : '$ki_world', X6 : $i]:
% 0.49/0.78 (~ ('$ki_exists_in_world_$i' @ X0 @ X1)
% 0.49/0.78 | ~ ('$ki_exists_in_world_$i' @ X2 @ X3)
% 0.49/0.78 | ~ ('$ki_accessible' @ X2 @ X4)
% 0.49/0.78 | (intersect @ X5 @ X1 @ X3)
% 0.49/0.78 | ~ ('$ki_accessible' @ X4 @ X5)
% 0.49/0.78 | ~ (zip_tseitin_1 @ (sk__3 @ X6 @ X4 @ X3) @ X6 @ X4 @ X3)
% 0.49/0.78 | ~ (zip_tseitin_0 @ (sk__4 @ X6 @ X4 @ X1) @ X6 @ X4 @ X1)
% 0.49/0.78 | ~ ('$ki_exists_in_world_$i' @ X4 @ X6)
% 0.49/0.78 | ~ ('$ki_accessible' @ X0 @ X2)
% 0.49/0.78 | ~ ('$ki_accessible' @ '$ki_local_world' @ X0))),
% 0.49/0.78 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.49/0.78 thf(zip_derived_cl29, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : '$ki_world', X2 : $i, X3 : '$ki_world',
% 0.49/0.78 X4 : $i, X5 : '$ki_world', X6 : $i]:
% 0.49/0.78 (~ (member @ (sk__4 @ X2 @ X3 @ X6) @ X2 @ X6)
% 0.49/0.78 | ~ ('$ki_accessible' @ '$ki_local_world' @ X0)
% 0.49/0.78 | ~ ('$ki_accessible' @ X0 @ X1)
% 0.49/0.78 | ~ ('$ki_exists_in_world_$i' @ X3 @ X2)
% 0.49/0.78 | ~ (zip_tseitin_1 @ (sk__3 @ X2 @ X3 @ X4) @ X2 @ X3 @ X4)
% 0.49/0.78 | ~ ('$ki_accessible' @ X3 @ X5)
% 0.49/0.78 | (intersect @ X5 @ X6 @ X4)
% 0.49/0.78 | ~ ('$ki_accessible' @ X1 @ X3)
% 0.49/0.78 | ~ ('$ki_exists_in_world_$i' @ X1 @ X4)
% 0.49/0.78 | ~ ('$ki_exists_in_world_$i' @ X0 @ X6))),
% 0.49/0.78 inference('dp-resolution', [status(thm)],
% 0.49/0.78 [zip_derived_cl3, zip_derived_cl13])).
% 0.49/0.78 thf(zip_derived_cl0, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : '$ki_world']: ('$ki_accessible' @ X0 @ X1)),
% 0.49/0.78 inference('cnf', [status(esa)], [mrel_universal])).
% 0.49/0.78 thf(zip_derived_cl0, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : '$ki_world']: ('$ki_accessible' @ X0 @ X1)),
% 0.49/0.78 inference('cnf', [status(esa)], [mrel_universal])).
% 0.49/0.78 thf('$ki_exists_in_world_$i_const', axiom,
% 0.49/0.78 (![W:'$ki_world',X:$i]: ( '$ki_exists_in_world_$i' @ W @ X ))).
% 0.49/0.78 thf(zip_derived_cl1, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : $i]: ('$ki_exists_in_world_$i' @ X0 @ X1)),
% 0.49/0.78 inference('cnf', [status(esa)], [$ki_exists_in_world_$i_const])).
% 0.49/0.78 thf(zip_derived_cl0, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : '$ki_world']: ('$ki_accessible' @ X0 @ X1)),
% 0.49/0.78 inference('cnf', [status(esa)], [mrel_universal])).
% 0.49/0.78 thf(zip_derived_cl0, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : '$ki_world']: ('$ki_accessible' @ X0 @ X1)),
% 0.49/0.78 inference('cnf', [status(esa)], [mrel_universal])).
% 0.49/0.78 thf(zip_derived_cl1, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : $i]: ('$ki_exists_in_world_$i' @ X0 @ X1)),
% 0.49/0.78 inference('cnf', [status(esa)], [$ki_exists_in_world_$i_const])).
% 0.49/0.78 thf(zip_derived_cl1, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : $i]: ('$ki_exists_in_world_$i' @ X0 @ X1)),
% 0.49/0.78 inference('cnf', [status(esa)], [$ki_exists_in_world_$i_const])).
% 0.49/0.78 thf(zip_derived_cl63, plain,
% 0.49/0.78 (![X2 : $i, X3 : '$ki_world', X4 : $i, X5 : '$ki_world', X6 : $i]:
% 0.49/0.78 (~ (member @ (sk__4 @ X2 @ X3 @ X6) @ X2 @ X6)
% 0.49/0.78 | ~ (zip_tseitin_1 @ (sk__3 @ X2 @ X3 @ X4) @ X2 @ X3 @ X4)
% 0.49/0.78 | (intersect @ X5 @ X6 @ X4))),
% 0.49/0.78 inference('demod', [status(thm)],
% 0.49/0.78 [zip_derived_cl29, zip_derived_cl0, zip_derived_cl0,
% 0.49/0.78 zip_derived_cl1, zip_derived_cl0, zip_derived_cl0,
% 0.49/0.78 zip_derived_cl1, zip_derived_cl1])).
% 0.49/0.78 thf(zip_derived_cl64, plain,
% 0.49/0.78 (![X0 : '$ki_world', X1 : $i, X2 : '$ki_world']:
% 0.49/0.78 (~ (zip_tseitin_1 @ (sk__3 @ sk__7 @ X0 @ X1) @ sk__7 @ X0 @ X1)
% 0.49/0.78 | (intersect @ X2 @ sk__9 @ X1))),
% 0.49/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl63])).
% 0.49/0.78 thf(zip_derived_cl69, plain,
% 0.49/0.78 (![X0 : $i, X1 : '$ki_world', X2 : '$ki_world']:
% 0.49/0.78 (~ (member @ (sk__3 @ sk__7 @ X1 @ X0) @ sk__7 @ X0)
% 0.49/0.78 | (intersect @ X2 @ sk__9 @ X0))),
% 0.49/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl64])).
% 0.49/0.78 thf(zip_derived_cl71, plain,
% 0.49/0.78 (![X1 : '$ki_world']: (intersect @ X1 @ sk__9 @ sk__11)),
% 0.49/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl69])).
% 0.49/0.78 thf(zip_derived_cl76, plain, ($false),
% 0.49/0.78 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl71])).
% 0.49/0.78
% 0.49/0.78 % SZS output end Refutation
% 0.49/0.78
% 0.49/0.78
% 0.49/0.78 % Terminating...
% 1.41/0.81 % Runner terminated.
% 1.41/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------