%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM582+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gB0GbC762o true
% Computer : n012.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 04:47:31 PM UTC 2025
% Result : Theorem 5.70s 1.42s
% Output : Refutation 5.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM582+3 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gB0GbC762o true
% 0.09/0.30 % Computer : n012.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 16:19:53 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.15/0.56 % Total configuration time : 435
% 0.15/0.56 % Estimated wc time : 1092
% 0.15/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.87/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.87/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.87/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.87/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.70/1.42 % Solved by fo/fo3_bce.sh.
% 5.70/1.42 % BCE start: 247
% 5.70/1.42 % BCE eliminated: 39
% 5.70/1.42 % PE start: 208
% 5.70/1.42 logic: eq
% 5.70/1.42 % PE eliminated: -24
% 5.70/1.42 % done 694 iterations in 0.720s
% 5.70/1.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.70/1.42 % SZS output start Refutation
% 5.70/1.42 thf(aSet0_type, type, aSet0: $i > $o).
% 5.70/1.42 thf(szDzozmdt0_type, type, szDzozmdt0: $i > $i).
% 5.70/1.42 thf(aFunction0_type, type, aFunction0: $i > $o).
% 5.70/1.42 thf(zip_tseitin_21_type, type, zip_tseitin_21: $i > $i > $o).
% 5.70/1.42 thf(sz00_type, type, sz00: $i).
% 5.70/1.42 thf(xi_type, type, xi: $i).
% 5.70/1.42 thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 5.70/1.42 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 5.70/1.42 thf(isCountable0_type, type, isCountable0: $i > $o).
% 5.70/1.42 thf(zip_tseitin_23_type, type, zip_tseitin_23: $i > $o).
% 5.70/1.42 thf(aElement0_type, type, aElement0: $i > $o).
% 5.70/1.42 thf(xS_type, type, xS: $i).
% 5.70/1.42 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 5.70/1.42 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 5.70/1.42 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 5.70/1.42 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 5.70/1.42 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 5.70/1.42 thf(xN_type, type, xN: $i).
% 5.70/1.42 thf(zip_tseitin_22_type, type, zip_tseitin_22: $i > $i > $o).
% 5.70/1.42 thf(zip_tseitin_19_type, type, zip_tseitin_19: $i > $i > $o).
% 5.70/1.42 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 5.70/1.42 thf(zip_tseitin_20_type, type, zip_tseitin_20: $i > $o).
% 5.70/1.42 thf(m__, conjecture,
% 5.70/1.42 (( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS ) |
% 5.70/1.42 ( ![W0:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 5.70/1.42 ( aElementOf0 @ W0 @ xS ) ) ))).
% 5.70/1.42 thf(zf_stmt_0, negated_conjecture,
% 5.70/1.42 (~( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS ) |
% 5.70/1.42 ( ![W0:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 5.70/1.42 ( aElementOf0 @ W0 @ xS ) ) ) )),
% 5.70/1.42 inference('cnf.neg', [status(esa)], [m__])).
% 5.70/1.42 thf(zip_derived_cl246, plain, (~ (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ xi) @ xS)),
% 5.70/1.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.70/1.42 thf(mZeroLess, axiom,
% 5.70/1.42 (![W0:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W0 @ szNzAzT0 ) => ( sdtlseqdt0 @ sz00 @ W0 ) ))).
% 5.70/1.42 thf(zip_derived_cl53, plain,
% 5.70/1.42 (![X0 : $i]:
% 5.70/1.42 ( (sdtlseqdt0 @ sz00 @ X0) | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 5.70/1.42 inference('cnf', [status(esa)], [mZeroLess])).
% 5.70/1.42 thf(m__3754, axiom,
% 5.70/1.42 (![W0:$i,W1:$i]:
% 5.70/1.42 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 5.70/1.42 ( ( sdtlseqdt0 @ W1 @ W0 ) =>
% 5.70/1.42 ( ( ![W2:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 5.70/1.42 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) &
% 5.70/1.42 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ))).
% 5.70/1.42 thf(zip_derived_cl217, plain,
% 5.70/1.42 (![X0 : $i, X1 : $i]:
% 5.70/1.42 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.70/1.42 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 5.70/1.42 | (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ (sdtlpdtrp0 @ xN @ X1))
% 5.70/1.42 | ~ (sdtlseqdt0 @ X1 @ X0))),
% 5.70/1.42 inference('cnf', [status(esa)], [m__3754])).
% 5.70/1.42 thf(zip_derived_cl4243, plain,
% 5.70/1.42 (![X0 : $i]:
% 5.70/1.42 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.70/1.42 | (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ (sdtlpdtrp0 @ xN @ sz00))
% 5.70/1.42 | ~ (aElementOf0 @ sz00 @ szNzAzT0)
% 5.70/1.42 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 5.70/1.42 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl217])).
% 5.70/1.42 thf(m__3623, axiom,
% 5.70/1.42 (( aFunction0 @ xN ) & ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) &
% 5.70/1.42 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 5.70/1.42 ( ![W0:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 5.70/1.42 ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.70/1.42 ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) |
% 5.70/1.42 ( ( ![W1:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 5.70/1.42 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 5.70/1.42 ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 5.70/1.42 ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 5.70/1.42 ( aSubsetOf0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 5.70/1.42 ( sdtmndt0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 5.70/1.42 ( ![W1:$i]:
% 5.70/1.42 ( ( aElementOf0 @
% 5.70/1.42 W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 5.70/1.42 ( aElementOf0 @
% 5.70/1.42 W1 @
% 5.70/1.42 ( sdtmndt0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 5.70/1.42 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 5.70/1.42 ( ![W1:$i]:
% 5.70/1.42 ( ( aElementOf0 @
% 5.70/1.42 W1 @
% 5.70/1.42 ( sdtmndt0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 5.70/1.42 ( ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 5.70/1.42 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.70/1.42 ( aElement0 @ W1 ) ) ) ) &
% 5.70/1.42 ( aSet0 @
% 5.70/1.42 ( sdtmndt0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 5.70/1.42 ( ![W1:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 5.70/1.42 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 5.70/1.42 ( aElementOf0 @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ))).
% 5.70/1.42 thf(zf_stmt_1, type, zip_tseitin_23 : $i > $o).
% 5.70/1.42 thf(zf_stmt_2, axiom,
% 5.70/1.42 (![W0:$i]:
% 5.70/1.42 ( ( zip_tseitin_23 @ W0 ) =>
% 5.70/1.42 ( ( aElementOf0 @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.70/1.42 ( ![W1:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 5.70/1.42 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 5.70/1.42 ( aSet0 @
% 5.70/1.42 ( sdtmndt0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 5.70/1.42 ( ![W1:$i]: ( zip_tseitin_22 @ W1 @ W0 ) ) &
% 5.70/1.42 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 5.70/1.42 ( ![W1:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 5.70/1.42 ( aElementOf0 @
% 5.70/1.42 W1 @
% 5.70/1.42 ( sdtmndt0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 5.70/1.42 ( aSubsetOf0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 5.70/1.42 ( sdtmndt0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 5.70/1.42 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ))).
% 5.70/1.42 thf(zf_stmt_3, type, zip_tseitin_22 : $i > $i > $o).
% 5.70/1.42 thf(zf_stmt_4, axiom,
% 5.70/1.42 (![W1:$i,W0:$i]:
% 5.70/1.42 ( ( zip_tseitin_22 @ W1 @ W0 ) =>
% 5.70/1.42 ( ( aElementOf0 @
% 5.70/1.42 W1 @
% 5.70/1.42 ( sdtmndt0 @
% 5.70/1.42 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.70/1.42 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 5.70/1.42 ( zip_tseitin_21 @ W1 @ W0 ) ) ))).
% 5.70/1.42 thf(zf_stmt_5, type, zip_tseitin_21 : $i > $i > $o).
% 5.70/1.42 thf(zf_stmt_6, axiom,
% 5.70/1.42 (![W1:$i,W0:$i]:
% 5.70/1.42 ( ( zip_tseitin_21 @ W1 @ W0 ) <=>
% 5.70/1.42 ( ( aElement0 @ W1 ) &
% 5.70/1.42 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.70/1.42 ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 5.70/1.42 thf(zf_stmt_7, type, zip_tseitin_20 : $i > $o).
% 5.70/1.42 thf(zf_stmt_8, axiom,
% 5.70/1.42 (![W0:$i]:
% 5.70/1.42 ( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.70/1.42 ( ![W1:$i]: ( zip_tseitin_19 @ W1 @ W0 ) ) ) |
% 5.70/1.42 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) ) =>
% 5.70/1.42 ( zip_tseitin_20 @ W0 ) ))).
% 5.70/1.42 thf(zf_stmt_9, type, zip_tseitin_19 : $i > $i > $o).
% 5.70/1.42 thf(zf_stmt_10, axiom,
% 5.70/1.42 (![W1:$i,W0:$i]:
% 5.70/1.42 ( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 5.70/1.42 ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 5.70/1.42 ( zip_tseitin_19 @ W1 @ W0 ) ))).
% 5.70/1.42 thf(zf_stmt_11, axiom,
% 5.70/1.42 (( ![W0:$i]:
% 5.70/1.42 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 5.70/1.42 ( ( ( zip_tseitin_20 @ W0 ) &
% 5.70/1.42 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 5.70/1.42 ( zip_tseitin_23 @ W0 ) ) ) ) &
% 5.70/1.42 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 5.70/1.42 ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) & ( aFunction0 @ xN ))).
% 5.70/1.42 thf(zip_derived_cl210, plain, (((sdtlpdtrp0 @ xN @ sz00) = (xS))),
% 5.70/1.42 inference('cnf', [status(esa)], [zf_stmt_11])).
% 5.70/1.42 thf(mZeroNum, axiom, (aElementOf0 @ sz00 @ szNzAzT0)).
% 5.70/1.42 thf(zip_derived_cl45, plain, ( (aElementOf0 @ sz00 @ szNzAzT0)),
% 5.70/1.42 inference('cnf', [status(esa)], [mZeroNum])).
% 5.70/1.42 thf(zip_derived_cl4261, plain,
% 5.70/1.42 (![X0 : $i]:
% 5.70/1.42 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.70/1.42 | (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ xS)
% 5.70/1.42 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 5.70/1.42 inference('demod', [status(thm)],
% 5.70/1.42 [zip_derived_cl4243, zip_derived_cl210, zip_derived_cl45])).
% 5.70/1.42 thf(zip_derived_cl4262, plain,
% 5.70/1.42 (![X0 : $i]:
% 5.70/1.42 ( (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ xS)
% 5.70/1.42 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 5.70/1.42 inference('simplify', [status(thm)], [zip_derived_cl4261])).
% 5.70/1.42 thf(zip_derived_cl4481, plain, (~ (aElementOf0 @ xi @ szNzAzT0)),
% 5.70/1.42 inference('sup+', [status(thm)], [zip_derived_cl246, zip_derived_cl4262])).
% 5.70/1.42 thf(m__3989, axiom, (aElementOf0 @ xi @ szNzAzT0)).
% 5.70/1.42 thf(zip_derived_cl223, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 5.70/1.42 inference('cnf', [status(esa)], [m__3989])).
% 5.70/1.42 thf(zip_derived_cl4485, plain, ($false),
% 5.70/1.42 inference('demod', [status(thm)], [zip_derived_cl4481, zip_derived_cl223])).
% 5.70/1.42
% 5.70/1.42 % SZS output end Refutation
% 5.70/1.42
% 5.70/1.42
% 5.70/1.43 % Terminating...
% 5.70/1.49 % Runner terminated.
% 6.24/1.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------