%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM579+3 : 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.CHVkQYXyKA true
% Computer : n031.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 17.50s 3.17s
% Output : Refutation 17.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM579+3 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CHVkQYXyKA true
% 0.16/0.36 % Computer : n031.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Oct 1 16:52:08 EDT 2025
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % Running portfolio for 300 s
% 0.16/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.57/0.68 % Total configuration time : 435
% 0.57/0.68 % Estimated wc time : 1092
% 0.57/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 17.50/3.17 % Solved by fo/fo6_bce.sh.
% 17.50/3.17 % BCE start: 274
% 17.50/3.17 % BCE eliminated: 0
% 17.50/3.17 % PE start: 274
% 17.50/3.17 logic: eq
% 17.50/3.17 % PE eliminated: 25
% 17.50/3.17 % done 1003 iterations in 2.398s
% 17.50/3.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.50/3.17 % SZS output start Refutation
% 17.50/3.17 thf(zip_tseitin_25_type, type, zip_tseitin_25: $i > $i > $i > $o).
% 17.50/3.17 thf(zip_tseitin_24_type, type, zip_tseitin_24: $i > $i > $o).
% 17.50/3.17 thf(aSet0_type, type, aSet0: $i > $o).
% 17.50/3.17 thf(szDzozmdt0_type, type, szDzozmdt0: $i > $i).
% 17.50/3.17 thf(aFunction0_type, type, aFunction0: $i > $o).
% 17.50/3.17 thf(zip_tseitin_21_type, type, zip_tseitin_21: $i > $i > $o).
% 17.50/3.17 thf(slbdtsldtrb0_type, type, slbdtsldtrb0: $i > $i > $i).
% 17.50/3.17 thf(sz00_type, type, sz00: $i).
% 17.50/3.17 thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 17.50/3.17 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 17.50/3.17 thf(isCountable0_type, type, isCountable0: $i > $o).
% 17.50/3.17 thf(zip_tseitin_23_type, type, zip_tseitin_23: $i > $o).
% 17.50/3.17 thf(aElement0_type, type, aElement0: $i > $o).
% 17.50/3.17 thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 17.50/3.17 thf(xS_type, type, xS: $i).
% 17.50/3.17 thf(sk__31_type, type, sk__31: $i).
% 17.50/3.17 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 17.50/3.17 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 17.50/3.17 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 17.50/3.17 thf(sk__32_type, type, sk__32: $i).
% 17.50/3.17 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 17.50/3.17 thf(isFinite0_type, type, isFinite0: $i > $o).
% 17.50/3.17 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 17.50/3.17 thf(xk_type, type, xk: $i).
% 17.50/3.17 thf(xK_type, type, xK: $i).
% 17.50/3.17 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 17.50/3.17 thf(xN_type, type, xN: $i).
% 17.50/3.17 thf(zip_tseitin_22_type, type, zip_tseitin_22: $i > $i > $o).
% 17.50/3.17 thf(zip_tseitin_19_type, type, zip_tseitin_19: $i > $i > $o).
% 17.50/3.17 thf(zip_tseitin_26_type, type, zip_tseitin_26: $i > $i > $i > $o).
% 17.50/3.17 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 17.50/3.17 thf(zip_tseitin_20_type, type, zip_tseitin_20: $i > $o).
% 17.50/3.17 thf(sk__30_type, type, sk__30: $i).
% 17.50/3.17 thf(mCardCons, axiom,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( ( aSet0 @ W0 ) & ( isFinite0 @ W0 ) ) =>
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( aElement0 @ W1 ) =>
% 17.50/3.17 ( ( ~( aElementOf0 @ W1 @ W0 ) ) =>
% 17.50/3.17 ( ( sbrdtbr0 @ ( sdtpldt0 @ W0 @ W1 ) ) =
% 17.50/3.17 ( szszuzczcdt0 @ ( sbrdtbr0 @ W0 ) ) ) ) ) ) ))).
% 17.50/3.17 thf(zip_derived_cl69, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i]:
% 17.50/3.17 (~ (aElement0 @ X0)
% 17.50/3.17 | ((sbrdtbr0 @ (sdtpldt0 @ X1 @ X0))
% 17.50/3.17 = (szszuzczcdt0 @ (sbrdtbr0 @ X1)))
% 17.50/3.17 | (aElementOf0 @ X0 @ X1)
% 17.50/3.17 | ~ (isFinite0 @ X1)
% 17.50/3.17 | ~ (aSet0 @ X1))),
% 17.50/3.17 inference('cnf', [status(esa)], [mCardCons])).
% 17.50/3.17 thf(m__, conjecture,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( ( aElementOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( slbdtsldtrb0 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 17.50/3.17 xk ) ) &
% 17.50/3.17 ( ( sbrdtbr0 @ W1 ) = ( xk ) ) &
% 17.50/3.17 ( aSubsetOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ W1 ) =>
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 17.50/3.17 ( ( ( W2 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 17.50/3.17 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( aElement0 @ W2 ) ) ) ) &
% 17.50/3.17 ( aSet0 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( aSet0 @ W1 ) ) =>
% 17.50/3.17 ( ( ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( sdtlseqdt0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 17.50/3.17 ( ( ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 17.50/3.17 ( ( ( ( W2 ) = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) |
% 17.50/3.17 ( aElementOf0 @ W2 @ W1 ) ) &
% 17.50/3.17 ( aElement0 @ W2 ) ) ) ) &
% 17.50/3.17 ( aSet0 @
% 17.50/3.17 ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 17.50/3.17 ( slbdtsldtrb0 @ xS @ xK ) ) |
% 17.50/3.17 ( ( ( sbrdtbr0 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) =
% 17.50/3.17 ( xK ) ) &
% 17.50/3.17 ( ( aSubsetOf0 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 17.50/3.17 xS ) |
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) =>
% 17.50/3.17 ( aElementOf0 @ W2 @ xS ) ) ) ) ) ) ) ) ) ) ))).
% 17.50/3.17 thf(zf_stmt_0, type, zip_tseitin_26 : $i > $i > $i > $o).
% 17.50/3.17 thf(zf_stmt_1, axiom,
% 17.50/3.17 (![W2:$i,W1:$i,W0:$i]:
% 17.50/3.17 ( ( zip_tseitin_26 @ W2 @ W1 @ W0 ) <=>
% 17.50/3.17 ( ( aElement0 @ W2 ) & ( zip_tseitin_25 @ W2 @ W1 @ W0 ) ) ))).
% 17.50/3.17 thf(zf_stmt_2, type, zip_tseitin_25 : $i > $i > $i > $o).
% 17.50/3.17 thf(zf_stmt_3, axiom,
% 17.50/3.17 (![W2:$i,W1:$i,W0:$i]:
% 17.50/3.17 ( ( zip_tseitin_25 @ W2 @ W1 @ W0 ) <=>
% 17.50/3.17 ( ( aElementOf0 @ W2 @ W1 ) |
% 17.50/3.17 ( ( W2 ) = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 17.50/3.17 thf(zf_stmt_4, type, zip_tseitin_24 : $i > $i > $o).
% 17.50/3.17 thf(zf_stmt_5, axiom,
% 17.50/3.17 (![W2:$i,W0:$i]:
% 17.50/3.17 ( ( zip_tseitin_24 @ W2 @ W0 ) <=>
% 17.50/3.17 ( ( aElement0 @ W2 ) &
% 17.50/3.17 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ( W2 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 17.50/3.17 thf(zf_stmt_6, conjecture,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( ( aSet0 @ W1 ) &
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 17.50/3.17 ( aSet0 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 17.50/3.17 ( zip_tseitin_24 @ W2 @ W0 ) ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ W1 ) =>
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 17.50/3.17 ( aSubsetOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ( sbrdtbr0 @ W1 ) = ( xk ) ) &
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( slbdtsldtrb0 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 17.50/3.17 xk ) ) ) =>
% 17.50/3.17 ( ( ( aElementOf0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( sdtlseqdt0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) ) =>
% 17.50/3.17 ( ( ( aSet0 @
% 17.50/3.17 ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 17.50/3.17 ( zip_tseitin_26 @ W2 @ W1 @ W0 ) ) ) ) =>
% 17.50/3.17 ( ( ( ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) =>
% 17.50/3.17 ( aElementOf0 @ W2 @ xS ) ) ) |
% 17.50/3.17 ( aSubsetOf0 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 17.50/3.17 xS ) ) &
% 17.50/3.17 ( ( sbrdtbr0 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) =
% 17.50/3.17 ( xK ) ) ) |
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 17.50/3.17 ( slbdtsldtrb0 @ xS @ xK ) ) ) ) ) ) ) ))).
% 17.50/3.17 thf(zf_stmt_7, negated_conjecture,
% 17.50/3.17 (~( ![W0:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( ( aSet0 @ W1 ) &
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( sdtlseqdt0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 17.50/3.17 ( aSet0 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 17.50/3.17 ( zip_tseitin_24 @ W2 @ W0 ) ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ W1 ) =>
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 17.50/3.17 ( aSubsetOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ( sbrdtbr0 @ W1 ) = ( xk ) ) &
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( slbdtsldtrb0 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 17.50/3.17 xk ) ) ) =>
% 17.50/3.17 ( ( ( aElementOf0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( sdtlseqdt0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) ) =>
% 17.50/3.17 ( ( ( aSet0 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 17.50/3.17 ( zip_tseitin_26 @ W2 @ W1 @ W0 ) ) ) ) =>
% 17.50/3.17 ( ( ( ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W2 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) =>
% 17.50/3.17 ( aElementOf0 @ W2 @ xS ) ) ) |
% 17.50/3.17 ( aSubsetOf0 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 17.50/3.17 xS ) ) &
% 17.50/3.17 ( ( sbrdtbr0 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) =
% 17.50/3.17 ( xK ) ) ) |
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 ( sdtpldt0 @
% 17.50/3.17 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 17.50/3.17 ( slbdtsldtrb0 @ xS @ xK ) ) ) ) ) ) ) ) )),
% 17.50/3.17 inference('cnf.neg', [status(esa)], [zf_stmt_6])).
% 17.50/3.17 thf(zip_derived_cl264, plain,
% 17.50/3.17 ((~ (aElementOf0 @ sk__32 @ xS)
% 17.50/3.17 | ((sbrdtbr0 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 != (xK)))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl69, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i]:
% 17.50/3.17 (~ (aElement0 @ X0)
% 17.50/3.17 | ((sbrdtbr0 @ (sdtpldt0 @ X1 @ X0))
% 17.50/3.17 = (szszuzczcdt0 @ (sbrdtbr0 @ X1)))
% 17.50/3.17 | (aElementOf0 @ X0 @ X1)
% 17.50/3.17 | ~ (isFinite0 @ X1)
% 17.50/3.17 | ~ (aSet0 @ X1))),
% 17.50/3.17 inference('cnf', [status(esa)], [mCardCons])).
% 17.50/3.17 thf(zip_derived_cl263, plain,
% 17.50/3.17 (( (aElementOf0 @ sk__32 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | ((sbrdtbr0 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 != (xK)))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl4923, plain,
% 17.50/3.17 ((~ (aSet0 @ sk__31)
% 17.50/3.17 | ~ (isFinite0 @ sk__31)
% 17.50/3.17 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @ sk__31)
% 17.50/3.17 | ~ (aElement0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))
% 17.50/3.17 | (aElementOf0 @ sk__32 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | ((szszuzczcdt0 @ (sbrdtbr0 @ sk__31)) != (xK)))),
% 17.50/3.17 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl263])).
% 17.50/3.17 thf(zip_derived_cl273, plain, ( (aSet0 @ sk__31)),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl270, plain, (((sbrdtbr0 @ sk__31) = (xk))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(mCardNum, axiom,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( aSet0 @ W0 ) =>
% 17.50/3.17 ( ( aElementOf0 @ ( sbrdtbr0 @ W0 ) @ szNzAzT0 ) <=> ( isFinite0 @ W0 ) ) ))).
% 17.50/3.17 thf(zip_derived_cl66, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ (sbrdtbr0 @ X0) @ szNzAzT0)
% 17.50/3.17 | (isFinite0 @ X0)
% 17.50/3.17 | ~ (aSet0 @ X0))),
% 17.50/3.17 inference('cnf', [status(esa)], [mCardNum])).
% 17.50/3.17 thf(zip_derived_cl2721, plain,
% 17.50/3.17 ((~ (aElementOf0 @ xk @ szNzAzT0)
% 17.50/3.17 | (isFinite0 @ sk__31)
% 17.50/3.17 | ~ (aSet0 @ sk__31))),
% 17.50/3.17 inference('s_sup-', [status(thm)], [zip_derived_cl270, zip_derived_cl66])).
% 17.50/3.17 thf(m__3533, axiom,
% 17.50/3.17 (( ( szszuzczcdt0 @ xk ) = ( xK ) ) & ( aElementOf0 @ xk @ szNzAzT0 ))).
% 17.50/3.17 thf(zip_derived_cl210, plain, ( (aElementOf0 @ xk @ szNzAzT0)),
% 17.50/3.17 inference('cnf', [status(esa)], [m__3533])).
% 17.50/3.17 thf(zip_derived_cl273, plain, ( (aSet0 @ sk__31)),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl2727, plain, ( (isFinite0 @ sk__31)),
% 17.50/3.17 inference('demod', [status(thm)],
% 17.50/3.17 [zip_derived_cl2721, zip_derived_cl210, zip_derived_cl273])).
% 17.50/3.17 thf(zip_derived_cl255, plain,
% 17.50/3.17 ( (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @
% 17.50/3.17 (sdtlpdtrp0 @ xN @ sk__30))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl254, plain, ( (aElementOf0 @ sk__30 @ szNzAzT0)),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(m__3671, axiom,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 17.50/3.17 ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 17.50/3.17 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) &
% 17.50/3.17 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ))).
% 17.50/3.17 thf(zip_derived_cl235, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 ( (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0)
% 17.50/3.17 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 17.50/3.17 inference('cnf', [status(esa)], [m__3671])).
% 17.50/3.17 thf(mDefSub, axiom,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( aSet0 @ W0 ) =>
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( aSubsetOf0 @ W1 @ W0 ) <=>
% 17.50/3.17 ( ( aSet0 @ W1 ) &
% 17.50/3.17 ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ W1 ) => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ) ))).
% 17.50/3.17 thf(zip_derived_cl13, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.50/3.17 (~ (aSubsetOf0 @ X0 @ X1)
% 17.50/3.17 | (aElementOf0 @ X2 @ X1)
% 17.50/3.17 | ~ (aElementOf0 @ X2 @ X0)
% 17.50/3.17 | ~ (aSet0 @ X1))),
% 17.50/3.17 inference('cnf', [status(esa)], [mDefSub])).
% 17.50/3.17 thf(zip_derived_cl2346, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 17.50/3.17 | (aElementOf0 @ X1 @ szNzAzT0)
% 17.50/3.17 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ X0))
% 17.50/3.17 | ~ (aSet0 @ szNzAzT0))),
% 17.50/3.17 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl13])).
% 17.50/3.17 thf(mNATSet, axiom, (( isCountable0 @ szNzAzT0 ) & ( aSet0 @ szNzAzT0 ))).
% 17.50/3.17 thf(zip_derived_cl44, plain, ( (aSet0 @ szNzAzT0)),
% 17.50/3.17 inference('cnf', [status(esa)], [mNATSet])).
% 17.50/3.17 thf(zip_derived_cl2353, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 17.50/3.17 | (aElementOf0 @ X1 @ szNzAzT0)
% 17.50/3.17 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ X0)))),
% 17.50/3.17 inference('demod', [status(thm)], [zip_derived_cl2346, zip_derived_cl44])).
% 17.50/3.17 thf(zip_derived_cl2370, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 ( (aElementOf0 @ X0 @ szNzAzT0)
% 17.50/3.17 | ~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ sk__30)))),
% 17.50/3.17 inference('s_sup-', [status(thm)],
% 17.50/3.17 [zip_derived_cl254, zip_derived_cl2353])).
% 17.50/3.17 thf(zip_derived_cl2474, plain,
% 17.50/3.17 ( (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @ szNzAzT0)),
% 17.50/3.17 inference('s_sup-', [status(thm)],
% 17.50/3.17 [zip_derived_cl255, zip_derived_cl2370])).
% 17.50/3.17 thf(mEOfElem, axiom,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( aSet0 @ W0 ) =>
% 17.50/3.17 ( ![W1:$i]: ( ( aElementOf0 @ W1 @ W0 ) => ( aElement0 @ W1 ) ) ) ))).
% 17.50/3.17 thf(zip_derived_cl2, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 17.50/3.17 inference('cnf', [status(esa)], [mEOfElem])).
% 17.50/3.17 thf(zip_derived_cl2475, plain,
% 17.50/3.17 (( (aElement0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))
% 17.50/3.17 | ~ (aSet0 @ szNzAzT0))),
% 17.50/3.17 inference('s_sup-', [status(thm)], [zip_derived_cl2474, zip_derived_cl2])).
% 17.50/3.17 thf(zip_derived_cl44, plain, ( (aSet0 @ szNzAzT0)),
% 17.50/3.17 inference('cnf', [status(esa)], [mNATSet])).
% 17.50/3.17 thf(zip_derived_cl2479, plain,
% 17.50/3.17 ( (aElement0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))),
% 17.50/3.17 inference('demod', [status(thm)], [zip_derived_cl2475, zip_derived_cl44])).
% 17.50/3.17 thf(zip_derived_cl270, plain, (((sbrdtbr0 @ sk__31) = (xk))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl209, plain, (((szszuzczcdt0 @ xk) = (xK))),
% 17.50/3.17 inference('cnf', [status(esa)], [m__3533])).
% 17.50/3.17 thf(zip_derived_cl4925, plain,
% 17.50/3.17 (( (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @ sk__31)
% 17.50/3.17 | (aElementOf0 @ sk__32 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | ((xK) != (xK)))),
% 17.50/3.17 inference('demod', [status(thm)],
% 17.50/3.17 [zip_derived_cl4923, zip_derived_cl273, zip_derived_cl2727,
% 17.50/3.17 zip_derived_cl2479, zip_derived_cl270, zip_derived_cl209])).
% 17.50/3.17 thf(zip_derived_cl4926, plain,
% 17.50/3.17 (( (aElementOf0 @ sk__32 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @ sk__31))),
% 17.50/3.17 inference('simplify', [status(thm)], [zip_derived_cl4925])).
% 17.50/3.17 thf(zip_derived_cl271, plain,
% 17.50/3.17 ( (aSubsetOf0 @ sk__31 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl13, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.50/3.17 (~ (aSubsetOf0 @ X0 @ X1)
% 17.50/3.17 | (aElementOf0 @ X2 @ X1)
% 17.50/3.17 | ~ (aElementOf0 @ X2 @ X0)
% 17.50/3.17 | ~ (aSet0 @ X1))),
% 17.50/3.17 inference('cnf', [status(esa)], [mDefSub])).
% 17.50/3.17 thf(zip_derived_cl5053, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 ( (aElementOf0 @ X0 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | ~ (aElementOf0 @ X0 @ sk__31)
% 17.50/3.17 | ~ (aSet0 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))))),
% 17.50/3.17 inference('s_sup-', [status(thm)], [zip_derived_cl271, zip_derived_cl13])).
% 17.50/3.17 thf(zip_derived_cl259, plain,
% 17.50/3.17 ( (aSet0 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl5058, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 ( (aElementOf0 @ X0 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | ~ (aElementOf0 @ X0 @ sk__31))),
% 17.50/3.17 inference('demod', [status(thm)], [zip_derived_cl5053, zip_derived_cl259])).
% 17.50/3.17 thf(zip_derived_cl257, plain,
% 17.50/3.17 (![X1 : $i]:
% 17.50/3.17 ( (zip_tseitin_24 @ X1 @ sk__30)
% 17.50/3.17 | ~ (aElementOf0 @ X1 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl246, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i]:
% 17.50/3.17 (((X1) != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))
% 17.50/3.17 | ~ (zip_tseitin_24 @ X1 @ X0))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_5])).
% 17.50/3.17 thf(zip_derived_cl1774, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | ((X0) != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))),
% 17.50/3.17 inference('dp-resolution', [status(thm)],
% 17.50/3.17 [zip_derived_cl257, zip_derived_cl246])).
% 17.50/3.17 thf(zip_derived_cl2358, plain,
% 17.50/3.17 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))),
% 17.50/3.17 inference('eq_res', [status(thm)], [zip_derived_cl1774])).
% 17.50/3.17 thf(zip_derived_cl5066, plain,
% 17.50/3.17 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @ sk__31)),
% 17.50/3.17 inference('s_sup-', [status(thm)],
% 17.50/3.17 [zip_derived_cl5058, zip_derived_cl2358])).
% 17.50/3.17 thf(zip_derived_cl6513, plain,
% 17.50/3.17 ( (aElementOf0 @ sk__32 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))),
% 17.50/3.17 inference('demod', [status(thm)],
% 17.50/3.17 [zip_derived_cl4926, zip_derived_cl5066])).
% 17.50/3.17 thf(zip_derived_cl266, plain,
% 17.50/3.17 (![X4 : $i]:
% 17.50/3.17 ( (zip_tseitin_26 @ X4 @ sk__31 @ sk__30)
% 17.50/3.17 | ~ (aElementOf0 @ X4 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl252, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.50/3.17 ( (zip_tseitin_25 @ X0 @ X1 @ X2) | ~ (zip_tseitin_26 @ X0 @ X1 @ X2))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_1])).
% 17.50/3.17 thf(zip_derived_cl1758, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | (zip_tseitin_25 @ X0 @ sk__31 @ sk__30))),
% 17.50/3.17 inference('dp-resolution', [status(thm)],
% 17.50/3.17 [zip_derived_cl266, zip_derived_cl252])).
% 17.50/3.17 thf(zip_derived_cl248, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.50/3.17 (((X1) = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))
% 17.50/3.17 | (aElementOf0 @ X1 @ X2)
% 17.50/3.17 | ~ (zip_tseitin_25 @ X1 @ X2 @ X0))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 17.50/3.17 thf(zip_derived_cl1760, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | (aElementOf0 @ X0 @ sk__31)
% 17.50/3.17 | ((X0) = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))),
% 17.50/3.17 inference('dp-resolution', [status(thm)],
% 17.50/3.17 [zip_derived_cl1758, zip_derived_cl248])).
% 17.50/3.17 thf(zip_derived_cl6516, plain,
% 17.50/3.17 (( (aElementOf0 @ sk__32 @ sk__31)
% 17.50/3.17 | ((sk__32) = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))),
% 17.50/3.17 inference('s_sup-', [status(thm)],
% 17.50/3.17 [zip_derived_cl6513, zip_derived_cl1760])).
% 17.50/3.17 thf(zip_derived_cl255, plain,
% 17.50/3.17 ( (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @
% 17.50/3.17 (sdtlpdtrp0 @ xN @ sk__30))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(mZeroLess, axiom,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) => ( sdtlseqdt0 @ sz00 @ W0 ) ))).
% 17.50/3.17 thf(zip_derived_cl53, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 ( (sdtlseqdt0 @ sz00 @ X0) | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 17.50/3.17 inference('cnf', [status(esa)], [mZeroLess])).
% 17.50/3.17 thf(zip_derived_cl254, plain, ( (aElementOf0 @ sk__30 @ szNzAzT0)),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(m__3754, axiom,
% 17.50/3.17 (![W0:$i,W1:$i]:
% 17.50/3.17 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 17.50/3.17 ( ( sdtlseqdt0 @ W1 @ W0 ) =>
% 17.50/3.17 ( ( ![W2:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) &
% 17.50/3.17 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ))).
% 17.50/3.17 thf(zip_derived_cl237, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 17.50/3.17 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 17.50/3.17 | ~ (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X0))
% 17.50/3.17 | (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X1))
% 17.50/3.17 | ~ (sdtlseqdt0 @ X1 @ X0))),
% 17.50/3.17 inference('cnf', [status(esa)], [m__3754])).
% 17.50/3.17 thf(zip_derived_cl4693, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 17.50/3.17 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ sk__30))
% 17.50/3.17 | (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ X0))
% 17.50/3.17 | ~ (sdtlseqdt0 @ X0 @ sk__30))),
% 17.50/3.17 inference('s_sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl237])).
% 17.50/3.17 thf(zip_derived_cl9099, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ sk__30 @ szNzAzT0)
% 17.50/3.17 | ~ (aElementOf0 @ sz00 @ szNzAzT0)
% 17.50/3.17 | ~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ sk__30))
% 17.50/3.17 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ sz00)))),
% 17.50/3.17 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl4693])).
% 17.50/3.17 thf(zip_derived_cl254, plain, ( (aElementOf0 @ sk__30 @ szNzAzT0)),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(mZeroNum, axiom, (aElementOf0 @ sz00 @ szNzAzT0)).
% 17.50/3.17 thf(zip_derived_cl45, plain, ( (aElementOf0 @ sz00 @ szNzAzT0)),
% 17.50/3.17 inference('cnf', [status(esa)], [mZeroNum])).
% 17.50/3.17 thf(m__3623, axiom,
% 17.50/3.17 (( aFunction0 @ xN ) & ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) &
% 17.50/3.17 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 17.50/3.17 ( ![W0:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 17.50/3.17 ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) |
% 17.50/3.17 ( ( ![W1:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 17.50/3.17 ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 17.50/3.17 ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 17.50/3.17 ( aSubsetOf0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 17.50/3.17 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 17.50/3.17 ( ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 17.50/3.17 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( aElement0 @ W1 ) ) ) ) &
% 17.50/3.17 ( aSet0 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ))).
% 17.50/3.17 thf(zf_stmt_8, type, zip_tseitin_23 : $i > $o).
% 17.50/3.17 thf(zf_stmt_9, axiom,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( zip_tseitin_23 @ W0 ) =>
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 17.50/3.17 ( aSet0 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( ![W1:$i]: ( zip_tseitin_22 @ W1 @ W0 ) ) &
% 17.50/3.17 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 17.50/3.17 ( ![W1:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 17.50/3.17 ( aElementOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 17.50/3.17 ( aSubsetOf0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 17.50/3.17 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ))).
% 17.50/3.17 thf(zf_stmt_10, type, zip_tseitin_22 : $i > $i > $o).
% 17.50/3.17 thf(zf_stmt_11, axiom,
% 17.50/3.17 (![W1:$i,W0:$i]:
% 17.50/3.17 ( ( zip_tseitin_22 @ W1 @ W0 ) =>
% 17.50/3.17 ( ( aElementOf0 @
% 17.50/3.17 W1 @
% 17.50/3.17 ( sdtmndt0 @
% 17.50/3.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 17.50/3.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 17.50/3.17 ( zip_tseitin_21 @ W1 @ W0 ) ) ))).
% 17.50/3.17 thf(zf_stmt_12, type, zip_tseitin_21 : $i > $i > $o).
% 17.50/3.17 thf(zf_stmt_13, axiom,
% 17.50/3.17 (![W1:$i,W0:$i]:
% 17.50/3.17 ( ( zip_tseitin_21 @ W1 @ W0 ) <=>
% 17.50/3.17 ( ( aElement0 @ W1 ) &
% 17.50/3.17 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 17.50/3.17 thf(zf_stmt_14, type, zip_tseitin_20 : $i > $o).
% 17.50/3.17 thf(zf_stmt_15, axiom,
% 17.50/3.17 (![W0:$i]:
% 17.50/3.17 ( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 17.50/3.17 ( ![W1:$i]: ( zip_tseitin_19 @ W1 @ W0 ) ) ) |
% 17.50/3.17 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) ) =>
% 17.50/3.17 ( zip_tseitin_20 @ W0 ) ))).
% 17.50/3.17 thf(zf_stmt_16, type, zip_tseitin_19 : $i > $i > $o).
% 17.50/3.17 thf(zf_stmt_17, axiom,
% 17.50/3.17 (![W1:$i,W0:$i]:
% 17.50/3.17 ( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 17.50/3.17 ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 17.50/3.17 ( zip_tseitin_19 @ W1 @ W0 ) ))).
% 17.50/3.17 thf(zf_stmt_18, axiom,
% 17.50/3.17 (( ![W0:$i]:
% 17.50/3.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 17.50/3.17 ( ( ( zip_tseitin_20 @ W0 ) &
% 17.50/3.17 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 17.50/3.17 ( zip_tseitin_23 @ W0 ) ) ) ) &
% 17.50/3.17 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 17.50/3.17 ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) & ( aFunction0 @ xN ))).
% 17.50/3.17 thf(zip_derived_cl231, plain, (((sdtlpdtrp0 @ xN @ sz00) = (xS))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_18])).
% 17.50/3.17 thf(zip_derived_cl9107, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ sk__30))
% 17.50/3.17 | (aElementOf0 @ X0 @ xS))),
% 17.50/3.17 inference('demod', [status(thm)],
% 17.50/3.17 [zip_derived_cl9099, zip_derived_cl254, zip_derived_cl45,
% 17.50/3.17 zip_derived_cl231])).
% 17.50/3.17 thf(zip_derived_cl9131, plain,
% 17.50/3.17 ( (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @ xS)),
% 17.50/3.17 inference('s_sup-', [status(thm)],
% 17.50/3.17 [zip_derived_cl255, zip_derived_cl9107])).
% 17.50/3.17 thf(zip_derived_cl9156, plain,
% 17.50/3.17 (( (aElementOf0 @ sk__32 @ sk__31) | (aElementOf0 @ sk__32 @ xS))),
% 17.50/3.17 inference('s_sup+', [status(thm)],
% 17.50/3.17 [zip_derived_cl6516, zip_derived_cl9131])).
% 17.50/3.17 thf(zip_derived_cl5058, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 ( (aElementOf0 @ X0 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | ~ (aElementOf0 @ X0 @ sk__31))),
% 17.50/3.17 inference('demod', [status(thm)], [zip_derived_cl5053, zip_derived_cl259])).
% 17.50/3.17 thf(zip_derived_cl257, plain,
% 17.50/3.17 (![X1 : $i]:
% 17.50/3.17 ( (zip_tseitin_24 @ X1 @ sk__30)
% 17.50/3.17 | ~ (aElementOf0 @ X1 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl245, plain,
% 17.50/3.17 (![X0 : $i, X1 : $i]:
% 17.50/3.17 ( (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ X1))
% 17.50/3.17 | ~ (zip_tseitin_24 @ X0 @ X1))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_5])).
% 17.50/3.17 thf(zip_derived_cl1773, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @
% 17.50/3.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__30) @
% 17.50/3.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ sk__30)))),
% 17.50/3.17 inference('dp-resolution', [status(thm)],
% 17.50/3.17 [zip_derived_cl257, zip_derived_cl245])).
% 17.50/3.17 thf(zip_derived_cl5065, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @ sk__31)
% 17.50/3.17 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ sk__30)))),
% 17.50/3.17 inference('s_sup-', [status(thm)],
% 17.50/3.17 [zip_derived_cl5058, zip_derived_cl1773])).
% 17.50/3.17 thf(zip_derived_cl9107, plain,
% 17.50/3.17 (![X0 : $i]:
% 17.50/3.17 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ sk__30))
% 17.50/3.17 | (aElementOf0 @ X0 @ xS))),
% 17.50/3.17 inference('demod', [status(thm)],
% 17.50/3.17 [zip_derived_cl9099, zip_derived_cl254, zip_derived_cl45,
% 17.50/3.17 zip_derived_cl231])).
% 17.50/3.17 thf(zip_derived_cl9129, plain,
% 17.50/3.17 (![X0 : $i]: (~ (aElementOf0 @ X0 @ sk__31) | (aElementOf0 @ X0 @ xS))),
% 17.50/3.17 inference('s_sup-', [status(thm)],
% 17.50/3.17 [zip_derived_cl5065, zip_derived_cl9107])).
% 17.50/3.17 thf(zip_derived_cl9284, plain, ( (aElementOf0 @ sk__32 @ xS)),
% 17.50/3.17 inference('clc', [status(thm)], [zip_derived_cl9156, zip_derived_cl9129])).
% 17.50/3.17 thf(zip_derived_cl9285, plain,
% 17.50/3.17 (((sbrdtbr0 @
% 17.50/3.17 (sdtpldt0 @ sk__31 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30))))
% 17.50/3.17 != (xK))),
% 17.50/3.17 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl9284])).
% 17.50/3.17 thf(zip_derived_cl9293, plain,
% 17.50/3.17 ((~ (aSet0 @ sk__31)
% 17.50/3.17 | ~ (isFinite0 @ sk__31)
% 17.50/3.17 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @ sk__31)
% 17.50/3.17 | ~ (aElement0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))
% 17.50/3.17 | ((szszuzczcdt0 @ (sbrdtbr0 @ sk__31)) != (xK)))),
% 17.50/3.17 inference('s_sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl9285])).
% 17.50/3.17 thf(zip_derived_cl273, plain, ( (aSet0 @ sk__31)),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl2727, plain, ( (isFinite0 @ sk__31)),
% 17.50/3.17 inference('demod', [status(thm)],
% 17.50/3.17 [zip_derived_cl2721, zip_derived_cl210, zip_derived_cl273])).
% 17.50/3.17 thf(zip_derived_cl5066, plain,
% 17.50/3.17 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)) @ sk__31)),
% 17.50/3.17 inference('s_sup-', [status(thm)],
% 17.50/3.17 [zip_derived_cl5058, zip_derived_cl2358])).
% 17.50/3.17 thf(zip_derived_cl2479, plain,
% 17.50/3.17 ( (aElement0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))),
% 17.50/3.17 inference('demod', [status(thm)], [zip_derived_cl2475, zip_derived_cl44])).
% 17.50/3.17 thf(zip_derived_cl270, plain, (((sbrdtbr0 @ sk__31) = (xk))),
% 17.50/3.17 inference('cnf', [status(esa)], [zf_stmt_7])).
% 17.50/3.17 thf(zip_derived_cl209, plain, (((szszuzczcdt0 @ xk) = (xK))),
% 17.50/3.17 inference('cnf', [status(esa)], [m__3533])).
% 17.50/3.17 thf(zip_derived_cl9296, plain, (((xK) != (xK))),
% 17.50/3.17 inference('demod', [status(thm)],
% 17.50/3.17 [zip_derived_cl9293, zip_derived_cl273, zip_derived_cl2727,
% 17.50/3.17 zip_derived_cl5066, zip_derived_cl2479, zip_derived_cl270,
% 17.50/3.17 zip_derived_cl209])).
% 17.50/3.17 thf(zip_derived_cl9297, plain, ($false),
% 17.50/3.17 inference('simplify', [status(thm)], [zip_derived_cl9296])).
% 17.50/3.17
% 17.50/3.17 % SZS output end Refutation
% 17.50/3.17
% 17.50/3.17
% 17.50/3.17 % Terminating...
% 17.50/3.21 % Runner terminated.
% 17.50/3.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------