%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM581+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.mY0HKKOSi5 true
% Computer : n026.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 7.80s 1.74s
% Output : Refutation 7.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : NUM581+3 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mY0HKKOSi5 true
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:20:23 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.37 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.80/1.74 % Solved by fo/fo6_bce.sh.
% 7.80/1.74 % BCE start: 277
% 7.80/1.74 % BCE eliminated: 0
% 7.80/1.74 % PE start: 277
% 7.80/1.74 logic: eq
% 7.80/1.74 % PE eliminated: 21
% 7.80/1.74 % done 740 iterations in 0.990s
% 7.80/1.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.80/1.74 % SZS output start Refutation
% 7.80/1.74 thf(zip_tseitin_21_type, type, zip_tseitin_21: $i > $i > $o).
% 7.80/1.74 thf(zip_tseitin_20_type, type, zip_tseitin_20: $i > $o).
% 7.80/1.74 thf(aSet0_type, type, aSet0: $i > $o).
% 7.80/1.74 thf(szDzozmdt0_type, type, szDzozmdt0: $i > $i).
% 7.80/1.74 thf(aFunction0_type, type, aFunction0: $i > $o).
% 7.80/1.74 thf(slbdtsldtrb0_type, type, slbdtsldtrb0: $i > $i > $i).
% 7.80/1.74 thf(sz00_type, type, sz00: $i).
% 7.80/1.74 thf(xi_type, type, xi: $i).
% 7.80/1.74 thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 7.80/1.74 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 7.80/1.74 thf(isCountable0_type, type, isCountable0: $i > $o).
% 7.80/1.74 thf(zip_tseitin_19_type, type, zip_tseitin_19: $i > $i > $o).
% 7.80/1.74 thf(aElement0_type, type, aElement0: $i > $o).
% 7.80/1.74 thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 7.80/1.74 thf(xS_type, type, xS: $i).
% 7.80/1.74 thf(zip_tseitin_24_type, type, zip_tseitin_24: $i > $o).
% 7.80/1.74 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 7.80/1.74 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 7.80/1.74 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 7.80/1.74 thf(sk__30_type, type, sk__30: $i).
% 7.80/1.74 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 7.80/1.74 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 7.80/1.74 thf(xk_type, type, xk: $i).
% 7.80/1.74 thf(xK_type, type, xK: $i).
% 7.80/1.74 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 7.80/1.74 thf(zip_tseitin_23_type, type, zip_tseitin_23: $i > $o).
% 7.80/1.74 thf(xN_type, type, xN: $i).
% 7.80/1.74 thf(zip_tseitin_22_type, type, zip_tseitin_22: $i > $i > $o).
% 7.80/1.74 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 7.80/1.74 thf(xQ_type, type, xQ: $i).
% 7.80/1.74 thf(m__, conjecture,
% 7.80/1.74 (( ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 7.80/1.74 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 7.80/1.74 ( aElementOf0 @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) ) =>
% 7.80/1.74 ( ( ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 7.80/1.74 ( ( ( ( W0 ) = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) |
% 7.80/1.74 ( aElementOf0 @ W0 @ xQ ) ) &
% 7.80/1.74 ( aElement0 @ W0 ) ) ) ) &
% 7.80/1.74 ( aSet0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) =>
% 7.80/1.74 ( ( aSubsetOf0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) |
% 7.80/1.74 ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) =>
% 7.80/1.74 ( aElementOf0 @ W0 @ xS ) ) ) ) ))).
% 7.80/1.74 thf(zf_stmt_0, type, zip_tseitin_24 : $i > $o).
% 7.80/1.74 thf(zf_stmt_1, axiom,
% 7.80/1.74 (![W0:$i]:
% 7.80/1.74 ( ( zip_tseitin_24 @ W0 ) <=>
% 7.80/1.74 ( ( aElement0 @ W0 ) &
% 7.80/1.74 ( ( aElementOf0 @ W0 @ xQ ) |
% 7.80/1.74 ( ( W0 ) = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ))).
% 7.80/1.74 thf(zf_stmt_2, conjecture,
% 7.80/1.74 (( ( aElementOf0 @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) &
% 7.80/1.74 ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 7.80/1.74 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) ) =>
% 7.80/1.74 ( ( ( aSet0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 7.80/1.74 ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 7.80/1.74 ( zip_tseitin_24 @ W0 ) ) ) ) =>
% 7.80/1.74 ( ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) =>
% 7.80/1.74 ( aElementOf0 @ W0 @ xS ) ) ) |
% 7.80/1.74 ( aSubsetOf0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) ) ))).
% 7.80/1.74 thf(zf_stmt_3, negated_conjecture,
% 7.80/1.74 (~( ( ( aElementOf0 @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ xi ) ) &
% 7.80/1.74 ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 7.80/1.74 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) ) =>
% 7.80/1.74 ( ( ( aSet0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 7.80/1.74 ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 7.80/1.74 ( zip_tseitin_24 @ W0 ) ) ) ) =>
% 7.80/1.74 ( ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) =>
% 7.80/1.74 ( aElementOf0 @ W0 @ xS ) ) ) |
% 7.80/1.74 ( aSubsetOf0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @
% 7.80/1.74 xS ) ) ) )),
% 7.80/1.74 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 7.80/1.74 thf(zip_derived_cl272, plain, (~ (aElementOf0 @ sk__30 @ xS)),
% 7.80/1.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.80/1.74 thf(zip_derived_cl273, plain,
% 7.80/1.74 ( (aElementOf0 @ sk__30 @
% 7.80/1.74 (sdtpldt0 @ xQ @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))),
% 7.80/1.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.80/1.74 thf(m__4007, axiom,
% 7.80/1.74 (( ( sbrdtbr0 @
% 7.80/1.74 ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) =
% 7.80/1.74 ( xK ) ) &
% 7.80/1.74 ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 7.80/1.74 ( ( aElement0 @ W0 ) &
% 7.80/1.74 ( ( aElementOf0 @ W0 @ xQ ) |
% 7.80/1.74 ( ( W0 ) = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ) &
% 7.80/1.74 ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 7.80/1.74 ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 7.80/1.74 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 7.80/1.74 ( aElementOf0 @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ))).
% 7.80/1.74 thf(zip_derived_cl263, plain,
% 7.80/1.74 (![X0 : $i]:
% 7.80/1.74 (((X0) = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi)))
% 7.80/1.74 | (aElementOf0 @ X0 @ xQ)
% 7.80/1.74 | ~ (aElementOf0 @ X0 @
% 7.80/1.74 (sdtpldt0 @ xQ @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi)))))),
% 7.80/1.74 inference('cnf', [status(esa)], [m__4007])).
% 7.80/1.74 thf(zip_derived_cl2415, plain,
% 7.80/1.74 ((((sk__30) = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi)))
% 7.80/1.74 | (aElementOf0 @ sk__30 @ xQ))),
% 7.80/1.74 inference('s_sup-', [status(thm)], [zip_derived_cl273, zip_derived_cl263])).
% 7.80/1.74 thf(m__3623, axiom,
% 7.80/1.74 (( aFunction0 @ xN ) & ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) &
% 7.80/1.74 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 7.80/1.74 ( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 7.80/1.74 ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 7.80/1.74 ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) |
% 7.80/1.74 ( ( ![W1:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 7.80/1.74 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 7.80/1.74 ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 7.80/1.74 ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 7.80/1.74 ( aSubsetOf0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 7.80/1.74 ( sdtmndt0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ W0 ) @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 7.80/1.74 ( ![W1:$i]:
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 7.80/1.74 ( aElementOf0 @
% 7.80/1.74 W1 @
% 7.80/1.74 ( sdtmndt0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ W0 ) @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 7.80/1.74 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 7.80/1.74 ( ![W1:$i]:
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W1 @
% 7.80/1.74 ( sdtmndt0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ W0 ) @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 7.80/1.74 ( ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 7.80/1.74 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 7.80/1.74 ( aElement0 @ W1 ) ) ) ) &
% 7.80/1.74 ( aSet0 @
% 7.80/1.74 ( sdtmndt0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ W0 ) @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 7.80/1.74 ( ![W1:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 7.80/1.74 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 7.80/1.74 ( aElementOf0 @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ))).
% 7.80/1.74 thf(zf_stmt_4, axiom,
% 7.80/1.74 (![W0:$i]:
% 7.80/1.74 ( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 7.80/1.74 ( ![W1:$i]: ( zip_tseitin_19 @ W1 @ W0 ) ) ) |
% 7.80/1.74 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) ) =>
% 7.80/1.74 ( zip_tseitin_20 @ W0 ) ))).
% 7.80/1.74 thf(zip_derived_cl214, plain,
% 7.80/1.74 (![X0 : $i]:
% 7.80/1.74 ( (zip_tseitin_20 @ X0)
% 7.80/1.74 | ~ (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0))),
% 7.80/1.74 inference('cnf', [status(esa)], [zf_stmt_4])).
% 7.80/1.74 thf(zf_stmt_5, type, zip_tseitin_23 : $i > $o).
% 7.80/1.74 thf(zf_stmt_6, axiom,
% 7.80/1.74 (![W0:$i]:
% 7.80/1.74 ( ( zip_tseitin_23 @ W0 ) =>
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 7.80/1.74 ( ![W1:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 7.80/1.74 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 7.80/1.74 ( aSet0 @
% 7.80/1.74 ( sdtmndt0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ W0 ) @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 7.80/1.74 ( ![W1:$i]: ( zip_tseitin_22 @ W1 @ W0 ) ) &
% 7.80/1.74 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 7.80/1.74 ( ![W1:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 7.80/1.74 ( aElementOf0 @
% 7.80/1.74 W1 @
% 7.80/1.74 ( sdtmndt0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ W0 ) @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 7.80/1.74 ( aSubsetOf0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 7.80/1.74 ( sdtmndt0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ W0 ) @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 7.80/1.74 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ))).
% 7.80/1.74 thf(zf_stmt_7, type, zip_tseitin_22 : $i > $i > $o).
% 7.80/1.74 thf(zf_stmt_8, axiom,
% 7.80/1.74 (![W1:$i,W0:$i]:
% 7.80/1.74 ( ( zip_tseitin_22 @ W1 @ W0 ) =>
% 7.80/1.74 ( ( aElementOf0 @
% 7.80/1.74 W1 @
% 7.80/1.74 ( sdtmndt0 @
% 7.80/1.74 ( sdtlpdtrp0 @ xN @ W0 ) @
% 7.80/1.74 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 7.80/1.74 ( zip_tseitin_21 @ W1 @ W0 ) ) ))).
% 7.80/1.74 thf(zf_stmt_9, type, zip_tseitin_21 : $i > $i > $o).
% 7.80/1.74 thf(zf_stmt_10, axiom,
% 7.80/1.74 (![W1:$i,W0:$i]:
% 7.80/1.74 ( ( zip_tseitin_21 @ W1 @ W0 ) <=>
% 7.80/1.74 ( ( aElement0 @ W1 ) &
% 7.80/1.74 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 7.80/1.74 ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 7.80/1.74 thf(zf_stmt_11, type, zip_tseitin_20 : $i > $o).
% 7.80/1.74 thf(zf_stmt_12, type, zip_tseitin_19 : $i > $i > $o).
% 7.80/1.74 thf(zf_stmt_13, axiom,
% 7.80/1.74 (![W1:$i,W0:$i]:
% 7.80/1.74 ( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 7.80/1.74 ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 7.80/1.74 ( zip_tseitin_19 @ W1 @ W0 ) ))).
% 7.80/1.74 thf(zf_stmt_14, axiom,
% 7.80/1.74 (( ![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 7.80/1.74 ( ( ( zip_tseitin_20 @ W0 ) &
% 7.80/1.74 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 7.80/1.74 ( zip_tseitin_23 @ W0 ) ) ) ) &
% 7.80/1.74 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 7.80/1.74 ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) & ( aFunction0 @ xN ))).
% 7.80/1.74 thf(zip_derived_cl232, plain,
% 7.80/1.74 (![X0 : $i]:
% 7.80/1.74 (~ (zip_tseitin_20 @ X0)
% 7.80/1.74 | ~ (isCountable0 @ (sdtlpdtrp0 @ xN @ X0))
% 7.80/1.74 | (zip_tseitin_23 @ X0)
% 7.80/1.74 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 7.80/1.74 inference('cnf', [status(esa)], [zf_stmt_14])).
% 7.80/1.74 thf(zip_derived_cl1759, plain,
% 7.80/1.74 (![X0 : $i]:
% 7.80/1.74 (~ (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0)
% 7.80/1.74 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 7.80/1.74 | (zip_tseitin_23 @ X0)
% 7.80/1.74 | ~ (isCountable0 @ (sdtlpdtrp0 @ xN @ X0)))),
% 7.80/1.74 inference('dp-resolution', [status(thm)],
% 7.80/1.74 [zip_derived_cl214, zip_derived_cl232])).
% 7.80/1.74 thf(m__3671, axiom,
% 7.80/1.74 (![W0:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 7.80/1.74 ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 7.80/1.74 ( ![W1:$i]:
% 7.80/1.74 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 7.80/1.74 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 7.80/1.74 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) &
% 7.80/1.74 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ))).
% 7.80/1.74 thf(zip_derived_cl235, plain,
% 7.80/1.74 (![X0 : $i]:
% 7.80/1.74 ( (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0)
% 7.80/1.74 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 7.80/1.74 inference('cnf', [status(esa)], [m__3671])).
% 7.80/1.74 thf(zip_derived_cl5085, plain,
% 7.80/1.74 (![X0 : $i]:
% 7.80/1.74 (~ (isCountable0 @ (sdtlpdtrp0 @ xN @ X0))
% 7.80/1.74 | (zip_tseitin_23 @ X0)
% 7.80/1.74 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 7.80/1.74 inference('clc', [status(thm)], [zip_derived_cl1759, zip_derived_cl235])).
% 7.80/1.74 thf(zip_derived_cl236, plain,
% 7.80/1.74 (![X0 : $i]:
% 7.80/1.74 ( (isCountable0 @ (sdtlpdtrp0 @ xN @ X0))
% 7.80/1.74 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 7.80/1.74 inference('cnf', [status(esa)], [m__3671])).
% 7.80/1.74 thf(zip_derived_cl5086, plain,
% 7.80/1.74 (![X0 : $i]: (~ (aElementOf0 @ X0 @ szNzAzT0) | (zip_tseitin_23 @ X0))),
% 7.80/1.74 inference('clc', [status(thm)], [zip_derived_cl5085, zip_derived_cl236])).
% 7.80/1.74 thf(zip_derived_cl221, plain,
% 7.80/1.74 (![X0 : $i]:
% 7.80/1.74 ( (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 7.80/1.74 (sdtlpdtrp0 @ xN @ X0))
% 7.80/1.74 | ~ (zip_tseitin_23 @ X0))),
% 7.80/1.74 inference('cnf', [status(esa)], [zf_stmt_6])).
% 7.80/1.74 thf(zip_derived_cl5087, plain,
% 7.80/1.75 (![X0 : $i]:
% 7.80/1.75 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 7.80/1.75 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 7.80/1.75 (sdtlpdtrp0 @ xN @ X0)))),
% 7.80/1.75 inference('s_sup-', [status(thm)],
% 7.80/1.75 [zip_derived_cl5086, zip_derived_cl221])).
% 7.80/1.75 thf(zip_derived_cl5132, plain,
% 7.80/1.75 (( (aElementOf0 @ sk__30 @ xQ)
% 7.80/1.75 | ~ (aElementOf0 @ xi @ szNzAzT0)
% 7.80/1.75 | (aElementOf0 @ sk__30 @ (sdtlpdtrp0 @ xN @ xi)))),
% 7.80/1.75 inference('s_sup+', [status(thm)],
% 7.80/1.75 [zip_derived_cl2415, zip_derived_cl5087])).
% 7.80/1.75 thf(m__3989, axiom, (aElementOf0 @ xi @ szNzAzT0)).
% 7.80/1.75 thf(zip_derived_cl244, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 7.80/1.75 inference('cnf', [status(esa)], [m__3989])).
% 7.80/1.75 thf(zip_derived_cl5137, plain,
% 7.80/1.75 (( (aElementOf0 @ sk__30 @ xQ)
% 7.80/1.75 | (aElementOf0 @ sk__30 @ (sdtlpdtrp0 @ xN @ xi)))),
% 7.80/1.75 inference('demod', [status(thm)], [zip_derived_cl5132, zip_derived_cl244])).
% 7.80/1.75 thf(m__3989_02, axiom,
% 7.80/1.75 (( aElementOf0 @
% 7.80/1.75 xQ @
% 7.80/1.75 ( slbdtsldtrb0 @
% 7.80/1.75 ( sdtmndt0 @
% 7.80/1.75 ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @
% 7.80/1.75 xk ) ) &
% 7.80/1.75 ( ( sbrdtbr0 @ xQ ) = ( xk ) ) &
% 7.80/1.75 ( aSubsetOf0 @
% 7.80/1.75 xQ @
% 7.80/1.75 ( sdtmndt0 @
% 7.80/1.75 ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 7.80/1.75 ( ![W0:$i]:
% 7.80/1.75 ( ( aElementOf0 @ W0 @ xQ ) =>
% 7.80/1.75 ( aElementOf0 @
% 7.80/1.75 W0 @
% 7.80/1.75 ( sdtmndt0 @
% 7.80/1.75 ( sdtlpdtrp0 @ xN @ xi ) @
% 7.80/1.75 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) &
% 7.80/1.75 ( aSet0 @ xQ ) &
% 7.80/1.75 ( ![W0:$i]:
% 7.80/1.75 ( ( aElementOf0 @
% 7.80/1.75 W0 @
% 7.80/1.75 ( sdtmndt0 @
% 7.80/1.75 ( sdtlpdtrp0 @ xN @ xi ) @
% 7.80/1.75 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 7.80/1.75 ( ( aElement0 @ W0 ) &
% 7.80/1.75 ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) &
% 7.80/1.75 ( ( W0 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) &
% 7.80/1.75 ( aSet0 @
% 7.80/1.75 ( sdtmndt0 @
% 7.80/1.75 ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 7.80/1.75 ( ![W0:$i]:
% 7.80/1.75 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 7.80/1.75 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 7.80/1.75 ( aElementOf0 @
% 7.80/1.75 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ))).
% 7.80/1.75 thf(zip_derived_cl253, plain,
% 7.80/1.75 (![X0 : $i]:
% 7.80/1.75 ( (aElementOf0 @ X0 @
% 7.80/1.75 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 7.80/1.75 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))
% 7.80/1.75 | ~ (aElementOf0 @ X0 @ xQ))),
% 7.80/1.75 inference('cnf', [status(esa)], [m__3989_02])).
% 7.80/1.75 thf(zip_derived_cl250, plain,
% 7.80/1.75 (![X0 : $i]:
% 7.80/1.75 ( (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ xi))
% 7.80/1.75 | ~ (aElementOf0 @ X0 @
% 7.80/1.75 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 7.80/1.75 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi)))))),
% 7.80/1.75 inference('cnf', [status(esa)], [m__3989_02])).
% 7.80/1.75 thf(zip_derived_cl4483, plain,
% 7.80/1.75 (![X0 : $i]:
% 7.80/1.75 (~ (aElementOf0 @ X0 @ xQ)
% 7.80/1.75 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ xi)))),
% 7.80/1.75 inference('s_sup-', [status(thm)], [zip_derived_cl253, zip_derived_cl250])).
% 7.80/1.75 thf(zip_derived_cl5618, plain,
% 7.80/1.75 ( (aElementOf0 @ sk__30 @ (sdtlpdtrp0 @ xN @ xi))),
% 7.80/1.75 inference('clc', [status(thm)], [zip_derived_cl5137, zip_derived_cl4483])).
% 7.80/1.75 thf(mZeroLess, axiom,
% 7.80/1.75 (![W0:$i]:
% 7.80/1.75 ( ( aElementOf0 @ W0 @ szNzAzT0 ) => ( sdtlseqdt0 @ sz00 @ W0 ) ))).
% 7.80/1.75 thf(zip_derived_cl53, plain,
% 7.80/1.75 (![X0 : $i]:
% 7.80/1.75 ( (sdtlseqdt0 @ sz00 @ X0) | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 7.80/1.75 inference('cnf', [status(esa)], [mZeroLess])).
% 7.80/1.75 thf(zip_derived_cl244, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 7.80/1.75 inference('cnf', [status(esa)], [m__3989])).
% 7.80/1.75 thf(m__3754, axiom,
% 7.80/1.75 (![W0:$i,W1:$i]:
% 7.80/1.75 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 7.80/1.75 ( ( sdtlseqdt0 @ W1 @ W0 ) =>
% 7.80/1.75 ( ( ![W2:$i]:
% 7.80/1.75 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 7.80/1.75 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) &
% 7.80/1.75 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ))).
% 7.80/1.75 thf(zip_derived_cl237, plain,
% 7.80/1.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 7.80/1.75 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 7.80/1.75 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 7.80/1.75 | ~ (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X0))
% 7.80/1.75 | (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X1))
% 7.80/1.75 | ~ (sdtlseqdt0 @ X1 @ X0))),
% 7.80/1.75 inference('cnf', [status(esa)], [m__3754])).
% 7.80/1.75 thf(zip_derived_cl4321, plain,
% 7.80/1.75 (![X0 : $i, X1 : $i]:
% 7.80/1.75 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 7.80/1.75 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ xi))
% 7.80/1.75 | (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ X0))
% 7.80/1.75 | ~ (sdtlseqdt0 @ X0 @ xi))),
% 7.80/1.75 inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl237])).
% 7.80/1.75 thf(zip_derived_cl5849, plain,
% 7.80/1.75 (![X0 : $i]:
% 7.80/1.75 (~ (aElementOf0 @ xi @ szNzAzT0)
% 7.80/1.75 | ~ (aElementOf0 @ sz00 @ szNzAzT0)
% 7.80/1.75 | ~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ xi))
% 7.80/1.75 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ sz00)))),
% 7.80/1.75 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl4321])).
% 7.80/1.75 thf(zip_derived_cl244, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 7.80/1.75 inference('cnf', [status(esa)], [m__3989])).
% 7.80/1.75 thf(mZeroNum, axiom, (aElementOf0 @ sz00 @ szNzAzT0)).
% 7.80/1.75 thf(zip_derived_cl45, plain, ( (aElementOf0 @ sz00 @ szNzAzT0)),
% 7.80/1.75 inference('cnf', [status(esa)], [mZeroNum])).
% 7.80/1.75 thf(zip_derived_cl231, plain, (((sdtlpdtrp0 @ xN @ sz00) = (xS))),
% 7.80/1.75 inference('cnf', [status(esa)], [zf_stmt_14])).
% 7.80/1.75 thf(zip_derived_cl5857, plain,
% 7.80/1.75 (![X0 : $i]:
% 7.80/1.75 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ xi))
% 7.80/1.75 | (aElementOf0 @ X0 @ xS))),
% 7.80/1.75 inference('demod', [status(thm)],
% 7.80/1.75 [zip_derived_cl5849, zip_derived_cl244, zip_derived_cl45,
% 7.80/1.75 zip_derived_cl231])).
% 7.80/1.75 thf(zip_derived_cl5938, plain, ( (aElementOf0 @ sk__30 @ xS)),
% 7.80/1.75 inference('s_sup-', [status(thm)],
% 7.80/1.75 [zip_derived_cl5618, zip_derived_cl5857])).
% 7.80/1.75 thf(zip_derived_cl5957, plain, ($false),
% 7.80/1.75 inference('demod', [status(thm)], [zip_derived_cl272, zip_derived_cl5938])).
% 7.80/1.75
% 7.80/1.75 % SZS output end Refutation
% 7.80/1.75
% 7.80/1.75
% 7.80/1.75 % Terminating...
% 8.60/1.85 % Runner terminated.
% 8.60/1.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------