%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM537+2 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wvOw76xfqx true
% Computer : n025.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 04:47:22 PM UTC 2025
% Result : Theorem 0.55s 0.89s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM537+2 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wvOw76xfqx true
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:18:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.89 % Solved by fo/fo6_bce.sh.
% 0.55/0.89 % BCE start: 132
% 0.55/0.89 % BCE eliminated: 4
% 0.55/0.89 % PE start: 128
% 0.55/0.89 logic: eq
% 0.55/0.89 % PE eliminated: 2
% 0.55/0.89 % done 222 iterations in 0.173s
% 0.55/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.89 % SZS output start Refutation
% 0.55/0.89 thf(aSet0_type, type, aSet0: $i > $o).
% 0.55/0.89 thf(xx_type, type, xx: $i).
% 0.55/0.89 thf(sk__4_type, type, sk__4: $i).
% 0.55/0.89 thf(aElement0_type, type, aElement0: $i > $o).
% 0.55/0.89 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.55/0.89 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $o).
% 0.55/0.89 thf(sk__5_type, type, sk__5: $i).
% 0.55/0.89 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 0.55/0.89 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 0.55/0.89 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 0.55/0.89 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 0.55/0.89 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $o).
% 0.55/0.89 thf(xS_type, type, xS: $i).
% 0.55/0.89 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 0.55/0.89 thf(m__, conjecture,
% 0.55/0.89 (( ( ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) <=>
% 0.55/0.89 ( ( ( ( W0 ) = ( xx ) ) | ( aElementOf0 @ W0 @ xS ) ) &
% 0.55/0.89 ( aElement0 @ W0 ) ) ) ) &
% 0.55/0.89 ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) ) =>
% 0.55/0.89 ( ( ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) <=>
% 0.55/0.89 ( ( ( W0 ) != ( xx ) ) &
% 0.55/0.89 ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.55/0.89 ( aElement0 @ W0 ) ) ) ) &
% 0.55/0.89 ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) =>
% 0.55/0.89 ( ( aSubsetOf0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) @ xS ) |
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) =>
% 0.55/0.89 ( aElementOf0 @ W0 @ xS ) ) ) ) ) ) &
% 0.55/0.89 ( ( ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) <=>
% 0.55/0.89 ( ( ( ( W0 ) = ( xx ) ) | ( aElementOf0 @ W0 @ xS ) ) &
% 0.55/0.89 ( aElement0 @ W0 ) ) ) ) &
% 0.55/0.89 ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) ) =>
% 0.55/0.89 ( ( ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) <=>
% 0.55/0.89 ( ( ( W0 ) != ( xx ) ) &
% 0.55/0.89 ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.55/0.89 ( aElement0 @ W0 ) ) ) ) &
% 0.55/0.89 ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) =>
% 0.55/0.89 ( ( aSubsetOf0 @ xS @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) |
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ xS ) =>
% 0.55/0.89 ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) ) ) ) ))).
% 0.55/0.89 thf(zf_stmt_0, type, zip_tseitin_4 : $i > $o).
% 0.55/0.89 thf(zf_stmt_1, axiom,
% 0.55/0.89 (![W0:$i]:
% 0.55/0.89 ( ( zip_tseitin_4 @ W0 ) <=>
% 0.55/0.89 ( ( aElement0 @ W0 ) & ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.55/0.89 ( ( W0 ) != ( xx ) ) ) ))).
% 0.55/0.89 thf(zf_stmt_2, type, zip_tseitin_3 : $i > $o).
% 0.55/0.89 thf(zf_stmt_3, axiom,
% 0.55/0.89 (![W0:$i]:
% 0.55/0.89 ( ( zip_tseitin_3 @ W0 ) <=>
% 0.55/0.89 ( ( aElement0 @ W0 ) & ( zip_tseitin_2 @ W0 ) ) ))).
% 0.55/0.89 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $o).
% 0.55/0.89 thf(zf_stmt_5, axiom,
% 0.55/0.89 (![W0:$i]:
% 0.55/0.89 ( ( zip_tseitin_2 @ W0 ) <=>
% 0.55/0.89 ( ( aElementOf0 @ W0 @ xS ) | ( ( W0 ) = ( xx ) ) ) ))).
% 0.55/0.89 thf(zf_stmt_6, conjecture,
% 0.55/0.89 (( ( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) <=>
% 0.55/0.89 ( zip_tseitin_3 @ W0 ) ) ) ) =>
% 0.55/0.89 ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) &
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) <=>
% 0.55/0.89 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 0.55/0.89 ( ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ xS ) =>
% 0.55/0.89 ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) ) |
% 0.55/0.89 ( aSubsetOf0 @ xS @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) ) ) &
% 0.55/0.89 ( ( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) <=>
% 0.55/0.89 ( zip_tseitin_3 @ W0 ) ) ) ) =>
% 0.55/0.89 ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) &
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) <=>
% 0.55/0.89 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 0.55/0.89 ( ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) =>
% 0.55/0.89 ( aElementOf0 @ W0 @ xS ) ) ) |
% 0.55/0.89 ( aSubsetOf0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) @ xS ) ) ) ))).
% 0.55/0.89 thf(zf_stmt_7, negated_conjecture,
% 0.55/0.89 (~( ( ( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) <=>
% 0.55/0.89 ( zip_tseitin_3 @ W0 ) ) ) ) =>
% 0.55/0.89 ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) &
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @
% 0.55/0.89 W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) <=>
% 0.55/0.89 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 0.55/0.89 ( ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ xS ) =>
% 0.55/0.89 ( aElementOf0 @
% 0.55/0.89 W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) ) |
% 0.55/0.89 ( aSubsetOf0 @ xS @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) ) ) &
% 0.55/0.89 ( ( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) <=>
% 0.55/0.89 ( zip_tseitin_3 @ W0 ) ) ) ) =>
% 0.55/0.89 ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) &
% 0.55/0.89 ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @
% 0.55/0.89 W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) <=>
% 0.55/0.89 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 0.55/0.89 ( ( ![W0:$i]:
% 0.55/0.89 ( ( aElementOf0 @
% 0.55/0.89 W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) =>
% 0.55/0.89 ( aElementOf0 @ W0 @ xS ) ) ) |
% 0.55/0.89 ( aSubsetOf0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) @ xS ) ) ) ) )),
% 0.55/0.89 inference('cnf.neg', [status(esa)], [zf_stmt_6])).
% 0.55/0.89 thf(zip_derived_cl81, plain,
% 0.55/0.89 (( (aElementOf0 @ sk__4 @ xS)
% 0.55/0.89 | (aElementOf0 @ sk__5 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl61, plain,
% 0.55/0.89 (![X0 : $i, X4 : $i]:
% 0.55/0.89 (~ (aElementOf0 @ X4 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.55/0.89 | (zip_tseitin_4 @ X4)
% 0.55/0.89 | (zip_tseitin_4 @ X0)
% 0.55/0.89 | ~ (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl1133, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (~ (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.55/0.89 | (zip_tseitin_4 @ X0)
% 0.55/0.89 | (zip_tseitin_4 @ X0))),
% 0.55/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl61])).
% 0.55/0.89 thf(zip_derived_cl1134, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (zip_tseitin_4 @ X0)
% 0.55/0.89 | ~ (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.55/0.89 inference('simplify', [status(thm)], [zip_derived_cl1133])).
% 0.55/0.89 thf(zip_derived_cl1143, plain,
% 0.55/0.89 (( (aElementOf0 @ sk__4 @ xS) | (zip_tseitin_4 @ sk__5))),
% 0.55/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl81, zip_derived_cl1134])).
% 0.55/0.89 thf(zip_derived_cl48, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx)) | ~ (zip_tseitin_4 @ X0))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl84, plain,
% 0.55/0.89 (![X2 : $i]:
% 0.55/0.89 ( (aElementOf0 @ sk__4 @ xS)
% 0.55/0.89 | (zip_tseitin_3 @ X2)
% 0.55/0.89 | ~ (aElementOf0 @ X2 @ (sdtpldt0 @ xS @ xx)))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl1157, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (~ (zip_tseitin_4 @ X0)
% 0.55/0.89 | (aElementOf0 @ sk__4 @ xS)
% 0.55/0.89 | (zip_tseitin_3 @ X0))),
% 0.55/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl84])).
% 0.55/0.89 thf(zip_derived_cl45, plain,
% 0.55/0.89 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (zip_tseitin_3 @ X0))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.89 thf(zip_derived_cl41, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (((X0) = (xx)) | (aElementOf0 @ X0 @ xS) | ~ (zip_tseitin_2 @ X0))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.55/0.89 thf(zip_derived_cl864, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (~ (zip_tseitin_3 @ X0) | (aElementOf0 @ X0 @ xS) | ((X0) = (xx)))),
% 0.55/0.89 inference('dp-resolution', [status(thm)],
% 0.55/0.89 [zip_derived_cl45, zip_derived_cl41])).
% 0.55/0.89 thf(zip_derived_cl1163, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (aElementOf0 @ sk__4 @ xS)
% 0.55/0.89 | ~ (zip_tseitin_4 @ X0)
% 0.55/0.89 | (aElementOf0 @ X0 @ xS)
% 0.55/0.89 | ((X0) = (xx)))),
% 0.55/0.89 inference('s_sup-', [status(thm)],
% 0.55/0.89 [zip_derived_cl1157, zip_derived_cl864])).
% 0.55/0.89 thf(zip_derived_cl49, plain,
% 0.55/0.89 (![X0 : $i]: (((X0) != (xx)) | ~ (zip_tseitin_4 @ X0))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl1189, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (aElementOf0 @ X0 @ xS)
% 0.55/0.89 | ~ (zip_tseitin_4 @ X0)
% 0.55/0.89 | (aElementOf0 @ sk__4 @ xS))),
% 0.55/0.89 inference('clc', [status(thm)], [zip_derived_cl1163, zip_derived_cl49])).
% 0.55/0.89 thf(zip_derived_cl1193, plain,
% 0.55/0.89 (( (aElementOf0 @ sk__4 @ xS)
% 0.55/0.89 | (aElementOf0 @ sk__5 @ xS)
% 0.55/0.89 | (aElementOf0 @ sk__4 @ xS))),
% 0.55/0.89 inference('s_sup-', [status(thm)],
% 0.55/0.89 [zip_derived_cl1143, zip_derived_cl1189])).
% 0.55/0.89 thf(zip_derived_cl1194, plain,
% 0.55/0.89 (( (aElementOf0 @ sk__5 @ xS) | (aElementOf0 @ sk__4 @ xS))),
% 0.55/0.89 inference('simplify', [status(thm)], [zip_derived_cl1193])).
% 0.55/0.89 thf(zip_derived_cl82, plain,
% 0.55/0.89 (( (aElementOf0 @ sk__4 @ xS) | ~ (aElementOf0 @ sk__5 @ xS))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl1211, plain, ( (aElementOf0 @ sk__4 @ xS)),
% 0.55/0.89 inference('clc', [status(thm)], [zip_derived_cl1194, zip_derived_cl82])).
% 0.55/0.89 thf(zip_derived_cl71, plain,
% 0.55/0.89 (![X1 : $i, X5 : $i]:
% 0.55/0.89 (~ (zip_tseitin_4 @ X5)
% 0.55/0.89 | (aElementOf0 @ X5 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.55/0.89 | (aElementOf0 @ X1 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.55/0.89 | ~ (zip_tseitin_4 @ X1))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl1256, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (~ (zip_tseitin_4 @ X0)
% 0.55/0.89 | (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.55/0.89 | ~ (zip_tseitin_4 @ X0))),
% 0.55/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl71])).
% 0.55/0.89 thf(zip_derived_cl1258, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.55/0.89 | ~ (zip_tseitin_4 @ X0))),
% 0.55/0.89 inference('simplify', [status(thm)], [zip_derived_cl1256])).
% 0.55/0.89 thf(zip_derived_cl48, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx)) | ~ (zip_tseitin_4 @ X0))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl111, plain,
% 0.55/0.89 (![X2 : $i, X6 : $i]:
% 0.55/0.89 (~ (aElementOf0 @ X6 @ (sdtpldt0 @ xS @ xx))
% 0.55/0.89 | (zip_tseitin_3 @ X6)
% 0.55/0.89 | (zip_tseitin_3 @ X2)
% 0.55/0.89 | ~ (aElementOf0 @ X2 @ (sdtpldt0 @ xS @ xx)))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl1435, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (~ (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx))
% 0.55/0.89 | (zip_tseitin_3 @ X0)
% 0.55/0.89 | (zip_tseitin_3 @ X0))),
% 0.55/0.89 inference('eq_fact', [status(thm)], [zip_derived_cl111])).
% 0.55/0.89 thf(zip_derived_cl1436, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (zip_tseitin_3 @ X0) | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx)))),
% 0.55/0.89 inference('simplify', [status(thm)], [zip_derived_cl1435])).
% 0.55/0.89 thf(zip_derived_cl1444, plain,
% 0.55/0.89 (![X0 : $i]: (~ (zip_tseitin_4 @ X0) | (zip_tseitin_3 @ X0))),
% 0.55/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl1436])).
% 0.55/0.89 thf(zip_derived_cl864, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (~ (zip_tseitin_3 @ X0) | (aElementOf0 @ X0 @ xS) | ((X0) = (xx)))),
% 0.55/0.89 inference('dp-resolution', [status(thm)],
% 0.55/0.89 [zip_derived_cl45, zip_derived_cl41])).
% 0.55/0.89 thf(zip_derived_cl1461, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (~ (zip_tseitin_4 @ X0) | (aElementOf0 @ X0 @ xS) | ((X0) = (xx)))),
% 0.55/0.89 inference('s_sup-', [status(thm)],
% 0.55/0.89 [zip_derived_cl1444, zip_derived_cl864])).
% 0.55/0.89 thf(zip_derived_cl49, plain,
% 0.55/0.89 (![X0 : $i]: (((X0) != (xx)) | ~ (zip_tseitin_4 @ X0))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl1465, plain,
% 0.55/0.89 (![X0 : $i]: ( (aElementOf0 @ X0 @ xS) | ~ (zip_tseitin_4 @ X0))),
% 0.55/0.89 inference('clc', [status(thm)], [zip_derived_cl1461, zip_derived_cl49])).
% 0.55/0.89 thf(zip_derived_cl1211, plain, ( (aElementOf0 @ sk__4 @ xS)),
% 0.55/0.89 inference('clc', [status(thm)], [zip_derived_cl1194, zip_derived_cl82])).
% 0.55/0.89 thf(mDefCons, axiom,
% 0.55/0.89 (![W0:$i,W1:$i]:
% 0.55/0.89 ( ( ( aElement0 @ W1 ) & ( aSet0 @ W0 ) ) =>
% 0.55/0.89 ( ![W2:$i]:
% 0.55/0.89 ( ( ( W2 ) = ( sdtpldt0 @ W0 @ W1 ) ) <=>
% 0.55/0.89 ( ( ![W3:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W3 @ W2 ) <=>
% 0.55/0.89 ( ( ( ( W3 ) = ( W1 ) ) | ( aElementOf0 @ W3 @ W0 ) ) &
% 0.55/0.89 ( aElement0 @ W3 ) ) ) ) &
% 0.55/0.89 ( aSet0 @ W2 ) ) ) ) ))).
% 0.55/0.89 thf(zf_stmt_8, axiom,
% 0.55/0.89 (![W3:$i,W1:$i,W0:$i]:
% 0.55/0.89 ( ( zip_tseitin_0 @ W3 @ W1 @ W0 ) <=>
% 0.55/0.89 ( ( aElement0 @ W3 ) &
% 0.55/0.89 ( ( aElementOf0 @ W3 @ W0 ) | ( ( W3 ) = ( W1 ) ) ) ) ))).
% 0.55/0.89 thf(zip_derived_cl22, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.89 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 0.55/0.89 | ~ (aElementOf0 @ X0 @ X2)
% 0.55/0.89 | ~ (aElement0 @ X0))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.55/0.89 thf(zf_stmt_9, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.55/0.89 thf(zf_stmt_10, axiom,
% 0.55/0.89 (![W0:$i,W1:$i]:
% 0.55/0.89 ( ( ( aSet0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 0.55/0.89 ( ![W2:$i]:
% 0.55/0.89 ( ( ( W2 ) = ( sdtpldt0 @ W0 @ W1 ) ) <=>
% 0.55/0.89 ( ( aSet0 @ W2 ) &
% 0.55/0.89 ( ![W3:$i]:
% 0.55/0.89 ( ( aElementOf0 @ W3 @ W2 ) <=> ( zip_tseitin_0 @ W3 @ W1 @ W0 ) ) ) ) ) ) ))).
% 0.55/0.89 thf(zip_derived_cl25, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.89 (~ (aSet0 @ X0)
% 0.55/0.89 | ~ (aElement0 @ X1)
% 0.55/0.89 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0)
% 0.55/0.89 | (aElementOf0 @ X2 @ X3)
% 0.55/0.89 | ((X3) != (sdtpldt0 @ X0 @ X1)))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.55/0.89 thf(zip_derived_cl1054, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.89 ( (aElementOf0 @ X2 @ (sdtpldt0 @ X1 @ X0))
% 0.55/0.89 | ~ (zip_tseitin_0 @ X2 @ X0 @ X1)
% 0.55/0.89 | ~ (aElement0 @ X0)
% 0.55/0.89 | ~ (aSet0 @ X1))),
% 0.55/0.89 inference('eq_res', [status(thm)], [zip_derived_cl25])).
% 0.55/0.89 thf(zip_derived_cl1120, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.89 (~ (aElement0 @ X2)
% 0.55/0.89 | ~ (aElementOf0 @ X2 @ X0)
% 0.55/0.89 | (aElementOf0 @ X2 @ (sdtpldt0 @ X0 @ X1))
% 0.55/0.89 | ~ (aElement0 @ X1)
% 0.55/0.89 | ~ (aSet0 @ X0))),
% 0.55/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl1054])).
% 0.55/0.89 thf(mEOfElem, axiom,
% 0.55/0.89 (![W0:$i]:
% 0.55/0.89 ( ( aSet0 @ W0 ) =>
% 0.55/0.89 ( ![W1:$i]: ( ( aElementOf0 @ W1 @ W0 ) => ( aElement0 @ W1 ) ) ) ))).
% 0.55/0.89 thf(zip_derived_cl2, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i]:
% 0.55/0.89 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 0.55/0.89 inference('cnf', [status(esa)], [mEOfElem])).
% 0.55/0.89 thf(zip_derived_cl1196, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.89 (~ (aSet0 @ X0)
% 0.55/0.89 | ~ (aElement0 @ X1)
% 0.55/0.89 | (aElementOf0 @ X2 @ (sdtpldt0 @ X0 @ X1))
% 0.55/0.89 | ~ (aElementOf0 @ X2 @ X0))),
% 0.55/0.89 inference('clc', [status(thm)], [zip_derived_cl1120, zip_derived_cl2])).
% 0.55/0.89 thf(zip_derived_cl1213, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (~ (aSet0 @ xS)
% 0.55/0.89 | ~ (aElement0 @ X0)
% 0.55/0.89 | (aElementOf0 @ sk__4 @ (sdtpldt0 @ xS @ X0)))),
% 0.55/0.89 inference('s_sup-', [status(thm)],
% 0.55/0.89 [zip_derived_cl1211, zip_derived_cl1196])).
% 0.55/0.89 thf(m__679, axiom, (( aSet0 @ xS ) & ( aElement0 @ xx ))).
% 0.55/0.89 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.55/0.89 inference('cnf', [status(esa)], [m__679])).
% 0.55/0.89 thf(zip_derived_cl1216, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 (~ (aElement0 @ X0) | (aElementOf0 @ sk__4 @ (sdtpldt0 @ xS @ X0)))),
% 0.55/0.89 inference('demod', [status(thm)], [zip_derived_cl1213, zip_derived_cl38])).
% 0.55/0.89 thf(zip_derived_cl39, plain, ( (aElement0 @ xx)),
% 0.55/0.89 inference('cnf', [status(esa)], [m__679])).
% 0.55/0.89 thf(zip_derived_cl1272, plain,
% 0.55/0.89 ( (aElementOf0 @ sk__4 @ (sdtpldt0 @ xS @ xx))),
% 0.55/0.89 inference('s_sup+', [status(thm)], [zip_derived_cl1216, zip_derived_cl39])).
% 0.55/0.89 thf(zip_derived_cl50, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (zip_tseitin_4 @ X0)
% 0.55/0.89 | ((X0) = (xx))
% 0.55/0.89 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx))
% 0.55/0.89 | ~ (aElement0 @ X0))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.55/0.89 thf(zip_derived_cl1284, plain,
% 0.55/0.89 (( (zip_tseitin_4 @ sk__4) | ((sk__4) = (xx)) | ~ (aElement0 @ sk__4))),
% 0.55/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl1272, zip_derived_cl50])).
% 0.55/0.89 thf(zip_derived_cl1211, plain, ( (aElementOf0 @ sk__4 @ xS)),
% 0.55/0.89 inference('clc', [status(thm)], [zip_derived_cl1194, zip_derived_cl82])).
% 0.55/0.89 thf(zip_derived_cl2, plain,
% 0.55/0.89 (![X0 : $i, X1 : $i]:
% 0.55/0.89 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 0.55/0.89 inference('cnf', [status(esa)], [mEOfElem])).
% 0.55/0.89 thf(zip_derived_cl1212, plain, (( (aElement0 @ sk__4) | ~ (aSet0 @ xS))),
% 0.55/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl1211, zip_derived_cl2])).
% 0.55/0.89 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.55/0.89 inference('cnf', [status(esa)], [m__679])).
% 0.55/0.89 thf(zip_derived_cl1215, plain, ( (aElement0 @ sk__4)),
% 0.55/0.89 inference('demod', [status(thm)], [zip_derived_cl1212, zip_derived_cl38])).
% 0.55/0.89 thf(zip_derived_cl1287, plain,
% 0.55/0.89 (( (zip_tseitin_4 @ sk__4) | ((sk__4) = (xx)))),
% 0.55/0.89 inference('demod', [status(thm)],
% 0.55/0.89 [zip_derived_cl1284, zip_derived_cl1215])).
% 0.55/0.89 thf(zip_derived_cl1258, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.55/0.89 | ~ (zip_tseitin_4 @ X0))),
% 0.55/0.89 inference('simplify', [status(thm)], [zip_derived_cl1256])).
% 0.55/0.89 thf(zip_derived_cl90, plain,
% 0.55/0.89 ((~ (aElementOf0 @ sk__4 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.55/0.89 | (aElementOf0 @ sk__5 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl1312, plain,
% 0.55/0.89 ((~ (zip_tseitin_4 @ sk__4)
% 0.55/0.89 | (aElementOf0 @ sk__5 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.55/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl1258, zip_derived_cl90])).
% 0.55/0.89 thf(zip_derived_cl1334, plain,
% 0.55/0.89 ((((sk__4) = (xx))
% 0.55/0.89 | (aElementOf0 @ sk__5 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.55/0.89 inference('s_sup-', [status(thm)],
% 0.55/0.89 [zip_derived_cl1287, zip_derived_cl1312])).
% 0.55/0.89 thf(zip_derived_cl1134, plain,
% 0.55/0.89 (![X0 : $i]:
% 0.55/0.89 ( (zip_tseitin_4 @ X0)
% 0.55/0.89 | ~ (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.55/0.89 inference('simplify', [status(thm)], [zip_derived_cl1133])).
% 0.55/0.89 thf(zip_derived_cl1340, plain,
% 0.55/0.89 ((((sk__4) = (xx)) | (zip_tseitin_4 @ sk__5))),
% 0.55/0.89 inference('s_sup-', [status(thm)],
% 0.55/0.89 [zip_derived_cl1334, zip_derived_cl1134])).
% 0.55/0.89 thf(zip_derived_cl1469, plain,
% 0.55/0.89 (( (aElementOf0 @ sk__5 @ xS) | ((sk__4) = (xx)))),
% 0.55/0.89 inference('s_sup+', [status(thm)],
% 0.55/0.89 [zip_derived_cl1465, zip_derived_cl1340])).
% 0.55/0.89 thf(zip_derived_cl91, plain,
% 0.55/0.89 ((~ (aElementOf0 @ sk__4 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.55/0.89 | ~ (aElementOf0 @ sk__5 @ xS))),
% 0.55/0.89 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.55/0.89 thf(zip_derived_cl1478, plain,
% 0.55/0.89 ((((sk__4) = (xx))
% 0.55/0.89 | ~ (aElementOf0 @ sk__4 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.55/0.89 inference('s_sup-', [status(thm)], [zip_derived_cl1469, zip_derived_cl91])).
% 0.55/0.89 thf(zip_derived_cl1493, plain,
% 0.55/0.89 ((~ (zip_tseitin_4 @ sk__4) | ((sk__4) = (xx)))),
% 0.55/0.89 inference('s_sup-', [status(thm)],
% 0.55/0.89 [zip_derived_cl1258, zip_derived_cl1478])).
% 0.55/0.89 thf(zip_derived_cl1287, plain,
% 0.55/0.89 (( (zip_tseitin_4 @ sk__4) | ((sk__4) = (xx)))),
% 0.55/0.89 inference('demod', [status(thm)],
% 0.55/0.89 [zip_derived_cl1284, zip_derived_cl1215])).
% 0.55/0.89 thf(zip_derived_cl1494, plain, (((sk__4) = (xx))),
% 0.55/0.89 inference('clc', [status(thm)], [zip_derived_cl1493, zip_derived_cl1287])).
% 0.55/0.89 thf(m__679_02, axiom, (~( aElementOf0 @ xx @ xS ))).
% 0.55/0.89 thf(zip_derived_cl40, plain, (~ (aElementOf0 @ xx @ xS)),
% 0.55/0.89 inference('cnf', [status(esa)], [m__679_02])).
% 0.55/0.89 thf(zip_derived_cl1499, plain, ($false),
% 0.55/0.89 inference('demod', [status(thm)],
% 0.55/0.89 [zip_derived_cl1211, zip_derived_cl1494, zip_derived_cl40])).
% 0.55/0.89
% 0.55/0.89 % SZS output end Refutation
% 0.55/0.89
% 0.55/0.89
% 0.55/0.89 % Terminating...
% 1.81/0.94 % Runner terminated.
% 1.81/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------