%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM575+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.VMxgmHJlZx 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 04:47:30 PM UTC 2025
% Result : Theorem 90.10s 16.78s
% Output : Refutation 90.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM575+3 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.VMxgmHJlZx true
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:31:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.58/0.69 % Total configuration time : 435
% 0.58/0.69 % Estimated wc time : 1092
% 0.58/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 90.10/16.78 % Solved by fo/fo6_bce.sh.
% 90.10/16.78 % BCE start: 247
% 90.10/16.78 % BCE eliminated: 0
% 90.10/16.78 % PE start: 247
% 90.10/16.78 logic: eq
% 90.10/16.78 % PE eliminated: 19
% 90.10/16.78 % done 3447 iterations in 15.960s
% 90.10/16.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 90.10/16.78 % SZS output start Refutation
% 90.10/16.78 thf(aSet0_type, type, aSet0: $i > $o).
% 90.10/16.78 thf(szDzozmdt0_type, type, szDzozmdt0: $i > $i).
% 90.10/16.78 thf(aFunction0_type, type, aFunction0: $i > $o).
% 90.10/16.78 thf(sz00_type, type, sz00: $i).
% 90.10/16.78 thf(zip_tseitin_22_type, type, zip_tseitin_22: $i > $i > $o).
% 90.10/16.78 thf(sk__29_type, type, sk__29: $i).
% 90.10/16.78 thf(sk__30_type, type, sk__30: $i).
% 90.10/16.78 thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 90.10/16.78 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 90.10/16.78 thf(zip_tseitin_19_type, type, zip_tseitin_19: $i > $i > $o).
% 90.10/16.78 thf(isCountable0_type, type, isCountable0: $i > $o).
% 90.10/16.78 thf(aElement0_type, type, aElement0: $i > $o).
% 90.10/16.78 thf(zip_tseitin_23_type, type, zip_tseitin_23: $i > $o).
% 90.10/16.78 thf(xS_type, type, xS: $i).
% 90.10/16.78 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 90.10/16.78 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 90.10/16.78 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 90.10/16.78 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 90.10/16.78 thf(zip_tseitin_20_type, type, zip_tseitin_20: $i > $o).
% 90.10/16.78 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 90.10/16.78 thf(xN_type, type, xN: $i).
% 90.10/16.78 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 90.10/16.78 thf(zip_tseitin_21_type, type, zip_tseitin_21: $i > $i > $o).
% 90.10/16.78 thf(m__, conjecture,
% 90.10/16.78 (![W0:$i,W1:$i]:
% 90.10/16.78 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) &
% 90.10/16.78 ( ( W0 ) != ( W1 ) ) ) =>
% 90.10/16.78 ( ~( ( aElementOf0 @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 90.10/16.78 ( ![W2:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 90.10/16.78 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 90.10/16.78 ( aElementOf0 @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W1 ) ) &
% 90.10/16.78 ( ![W2:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =>
% 90.10/16.78 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 90.10/16.78 ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ))).
% 90.10/16.78 thf(zf_stmt_0, negated_conjecture,
% 90.10/16.78 (~( ![W0:$i,W1:$i]:
% 90.10/16.78 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) &
% 90.10/16.78 ( aElementOf0 @ W1 @ szNzAzT0 ) & ( ( W0 ) != ( W1 ) ) ) =>
% 90.10/16.78 ( ~( ( aElementOf0 @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 90.10/16.78 ( ![W2:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 90.10/16.78 ( sdtlseqdt0 @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 90.10/16.78 ( aElementOf0 @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W1 ) ) &
% 90.10/16.78 ( ![W2:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =>
% 90.10/16.78 ( sdtlseqdt0 @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 90.10/16.78 ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ) ) )),
% 90.10/16.78 inference('cnf.neg', [status(esa)], [m__])).
% 90.10/16.78 thf(zip_derived_cl244, plain, ( (aElementOf0 @ sk__29 @ szNzAzT0)),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(mLessTotal, axiom,
% 90.10/16.78 (![W0:$i,W1:$i]:
% 90.10/16.78 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 90.10/16.78 ( ( sdtlseqdt0 @ W0 @ W1 ) | ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ))).
% 90.10/16.78 thf(zip_derived_cl61, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 90.10/16.78 | (sdtlseqdt0 @ X0 @ X1)
% 90.10/16.78 | (sdtlseqdt0 @ (szszuzczcdt0 @ X1) @ X0))),
% 90.10/16.78 inference('cnf', [status(esa)], [mLessTotal])).
% 90.10/16.78 thf(zip_derived_cl243, plain, ( (aElementOf0 @ sk__30 @ szNzAzT0)),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(m__3754, axiom,
% 90.10/16.78 (![W0:$i,W1:$i]:
% 90.10/16.78 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 90.10/16.78 ( ( sdtlseqdt0 @ W1 @ W0 ) =>
% 90.10/16.78 ( ( ![W2:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 90.10/16.78 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) &
% 90.10/16.78 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ))).
% 90.10/16.78 thf(zip_derived_cl237, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X0))
% 90.10/16.78 | (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X1))
% 90.10/16.78 | ~ (sdtlseqdt0 @ X1 @ X0))),
% 90.10/16.78 inference('cnf', [status(esa)], [m__3754])).
% 90.10/16.78 thf(zip_derived_cl4421, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ sk__30))
% 90.10/16.78 | (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ X0))
% 90.10/16.78 | ~ (sdtlseqdt0 @ X0 @ sk__30))),
% 90.10/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl237])).
% 90.10/16.78 thf(zip_derived_cl4609, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 ( (sdtlseqdt0 @ sk__30 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ sk__30 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ (szszuzczcdt0 @ X0) @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ sk__30))
% 90.10/16.78 | (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0))))),
% 90.10/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl4421])).
% 90.10/16.78 thf(zip_derived_cl243, plain, ( (aElementOf0 @ sk__30 @ szNzAzT0)),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl4617, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 ( (sdtlseqdt0 @ sk__30 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ (szszuzczcdt0 @ X0) @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ sk__30))
% 90.10/16.78 | (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0))))),
% 90.10/16.78 inference('demod', [status(thm)], [zip_derived_cl4609, zip_derived_cl243])).
% 90.10/16.78 thf(mSuccNum, axiom,
% 90.10/16.78 (![W0:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 90.10/16.78 ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 ) &
% 90.10/16.78 ( ( szszuzczcdt0 @ W0 ) != ( sz00 ) ) ) ))).
% 90.10/16.78 thf(zip_derived_cl46, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 ( (aElementOf0 @ (szszuzczcdt0 @ X0) @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 90.10/16.78 inference('cnf', [status(esa)], [mSuccNum])).
% 90.10/16.78 thf(zip_derived_cl23068, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 ( (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0)))
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ sk__30))
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | (sdtlseqdt0 @ sk__30 @ X0))),
% 90.10/16.78 inference('clc', [status(thm)], [zip_derived_cl4617, zip_derived_cl46])).
% 90.10/16.78 thf(m__3623, axiom,
% 90.10/16.78 (( aFunction0 @ xN ) & ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) &
% 90.10/16.78 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 90.10/16.78 ( ![W0:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 90.10/16.78 ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 90.10/16.78 ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) |
% 90.10/16.78 ( ( ![W1:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 90.10/16.78 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 90.10/16.78 ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 90.10/16.78 ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 90.10/16.78 ( aSubsetOf0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 90.10/16.78 ( sdtmndt0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 90.10/16.78 ( ![W1:$i]:
% 90.10/16.78 ( ( aElementOf0 @
% 90.10/16.78 W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 90.10/16.78 ( aElementOf0 @
% 90.10/16.78 W1 @
% 90.10/16.78 ( sdtmndt0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 90.10/16.78 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 90.10/16.78 ( ![W1:$i]:
% 90.10/16.78 ( ( aElementOf0 @
% 90.10/16.78 W1 @
% 90.10/16.78 ( sdtmndt0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 90.10/16.78 ( ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 90.10/16.78 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 90.10/16.78 ( aElement0 @ W1 ) ) ) ) &
% 90.10/16.78 ( aSet0 @
% 90.10/16.78 ( sdtmndt0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 90.10/16.78 ( ![W1:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 90.10/16.78 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 90.10/16.78 ( aElementOf0 @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ))).
% 90.10/16.78 thf(zf_stmt_1, axiom,
% 90.10/16.78 (![W0:$i]:
% 90.10/16.78 ( ( zip_tseitin_23 @ W0 ) =>
% 90.10/16.78 ( ( aElementOf0 @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 90.10/16.78 ( ![W1:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 90.10/16.78 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 90.10/16.78 ( aSet0 @
% 90.10/16.78 ( sdtmndt0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 90.10/16.78 ( ![W1:$i]: ( zip_tseitin_22 @ W1 @ W0 ) ) &
% 90.10/16.78 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 90.10/16.78 ( ![W1:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 90.10/16.78 ( aElementOf0 @
% 90.10/16.78 W1 @
% 90.10/16.78 ( sdtmndt0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 90.10/16.78 ( aSubsetOf0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 90.10/16.78 ( sdtmndt0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 90.10/16.78 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ))).
% 90.10/16.78 thf(zip_derived_cl226, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X1)))
% 90.10/16.78 | (aElementOf0 @ X0 @
% 90.10/16.78 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X1) @
% 90.10/16.78 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X1))))
% 90.10/16.78 | ~ (zip_tseitin_23 @ X1))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 90.10/16.78 thf(zip_derived_cl224, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 ( (zip_tseitin_22 @ X0 @ X1) | ~ (zip_tseitin_23 @ X1))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 90.10/16.78 thf(zf_stmt_2, axiom,
% 90.10/16.78 (![W1:$i,W0:$i]:
% 90.10/16.78 ( ( zip_tseitin_22 @ W1 @ W0 ) =>
% 90.10/16.78 ( ( aElementOf0 @
% 90.10/16.78 W1 @
% 90.10/16.78 ( sdtmndt0 @
% 90.10/16.78 ( sdtlpdtrp0 @ xN @ W0 ) @
% 90.10/16.78 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 90.10/16.78 ( zip_tseitin_21 @ W1 @ W0 ) ) ))).
% 90.10/16.78 thf(zip_derived_cl220, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @
% 90.10/16.78 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X1) @
% 90.10/16.78 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X1))))
% 90.10/16.78 | (zip_tseitin_21 @ X0 @ X1)
% 90.10/16.78 | ~ (zip_tseitin_22 @ X0 @ X1))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 90.10/16.78 thf(zip_derived_cl1595, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (~ (zip_tseitin_23 @ X0)
% 90.10/16.78 | (zip_tseitin_21 @ X1 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @
% 90.10/16.78 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X0) @
% 90.10/16.78 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))))),
% 90.10/16.78 inference('dp-resolution', [status(thm)],
% 90.10/16.78 [zip_derived_cl224, zip_derived_cl220])).
% 90.10/16.78 thf(zf_stmt_3, axiom,
% 90.10/16.78 (![W1:$i,W0:$i]:
% 90.10/16.78 ( ( zip_tseitin_21 @ W1 @ W0 ) <=>
% 90.10/16.78 ( ( aElement0 @ W1 ) &
% 90.10/16.78 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 90.10/16.78 ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 90.10/16.78 thf(zip_derived_cl217, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (((X1) != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))
% 90.10/16.78 | ~ (zip_tseitin_21 @ X1 @ X0))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 90.10/16.78 thf(zip_derived_cl1620, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X1 @
% 90.10/16.78 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X0) @
% 90.10/16.78 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0))))
% 90.10/16.78 | ~ (zip_tseitin_23 @ X0)
% 90.10/16.78 | ((X1) != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0))))),
% 90.10/16.78 inference('dp-resolution', [status(thm)],
% 90.10/16.78 [zip_derived_cl1595, zip_derived_cl217])).
% 90.10/16.78 thf(zip_derived_cl5651, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 (~ (zip_tseitin_23 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 90.10/16.78 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X0) @
% 90.10/16.78 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))))),
% 90.10/16.78 inference('eq_res', [status(thm)], [zip_derived_cl1620])).
% 90.10/16.78 thf(zip_derived_cl41810, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 (~ (zip_tseitin_23 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0)))
% 90.10/16.78 | ~ (zip_tseitin_23 @ X0))),
% 90.10/16.78 inference('s_sup-', [status(thm)],
% 90.10/16.78 [zip_derived_cl226, zip_derived_cl5651])).
% 90.10/16.78 thf(zip_derived_cl41823, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0)))
% 90.10/16.78 | ~ (zip_tseitin_23 @ X0))),
% 90.10/16.78 inference('simplify', [status(thm)], [zip_derived_cl41810])).
% 90.10/16.78 thf(zip_derived_cl41956, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 ( (sdtlseqdt0 @ sk__30 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ sk__30))
% 90.10/16.78 | ~ (zip_tseitin_23 @ X0))),
% 90.10/16.78 inference('s_sup-', [status(thm)],
% 90.10/16.78 [zip_derived_cl23068, zip_derived_cl41823])).
% 90.10/16.78 thf(zf_stmt_4, axiom,
% 90.10/16.78 (![W0:$i]:
% 90.10/16.78 ( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 90.10/16.78 ( ![W1:$i]: ( zip_tseitin_19 @ W1 @ W0 ) ) ) |
% 90.10/16.78 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) ) =>
% 90.10/16.78 ( zip_tseitin_20 @ W0 ) ))).
% 90.10/16.78 thf(zip_derived_cl214, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 ( (zip_tseitin_20 @ X0)
% 90.10/16.78 | ~ (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 90.10/16.78 thf(zf_stmt_5, type, zip_tseitin_23 : $i > $o).
% 90.10/16.78 thf(zf_stmt_6, type, zip_tseitin_22 : $i > $i > $o).
% 90.10/16.78 thf(zf_stmt_7, type, zip_tseitin_21 : $i > $i > $o).
% 90.10/16.78 thf(zf_stmt_8, type, zip_tseitin_20 : $i > $o).
% 90.10/16.78 thf(zf_stmt_9, type, zip_tseitin_19 : $i > $i > $o).
% 90.10/16.78 thf(zf_stmt_10, axiom,
% 90.10/16.78 (![W1:$i,W0:$i]:
% 90.10/16.78 ( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 90.10/16.78 ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 90.10/16.78 ( zip_tseitin_19 @ W1 @ W0 ) ))).
% 90.10/16.78 thf(zf_stmt_11, axiom,
% 90.10/16.78 (( ![W0:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 90.10/16.78 ( ( ( zip_tseitin_20 @ W0 ) &
% 90.10/16.78 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 90.10/16.78 ( zip_tseitin_23 @ W0 ) ) ) ) &
% 90.10/16.78 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 90.10/16.78 ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) & ( aFunction0 @ xN ))).
% 90.10/16.78 thf(zip_derived_cl232, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 (~ (zip_tseitin_20 @ X0)
% 90.10/16.78 | ~ (isCountable0 @ (sdtlpdtrp0 @ xN @ X0))
% 90.10/16.78 | (zip_tseitin_23 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_11])).
% 90.10/16.78 thf(zip_derived_cl1606, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 (~ (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | (zip_tseitin_23 @ X0)
% 90.10/16.78 | ~ (isCountable0 @ (sdtlpdtrp0 @ xN @ X0)))),
% 90.10/16.78 inference('dp-resolution', [status(thm)],
% 90.10/16.78 [zip_derived_cl214, zip_derived_cl232])).
% 90.10/16.78 thf(m__3671, axiom,
% 90.10/16.78 (![W0:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 90.10/16.78 ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 90.10/16.78 ( ![W1:$i]:
% 90.10/16.78 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 90.10/16.78 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 90.10/16.78 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) &
% 90.10/16.78 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ))).
% 90.10/16.78 thf(zip_derived_cl235, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 ( (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 90.10/16.78 inference('cnf', [status(esa)], [m__3671])).
% 90.10/16.78 thf(zip_derived_cl5151, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 (~ (isCountable0 @ (sdtlpdtrp0 @ xN @ X0))
% 90.10/16.78 | (zip_tseitin_23 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 90.10/16.78 inference('clc', [status(thm)], [zip_derived_cl1606, zip_derived_cl235])).
% 90.10/16.78 thf(zip_derived_cl236, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 ( (isCountable0 @ (sdtlpdtrp0 @ xN @ X0))
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 90.10/16.78 inference('cnf', [status(esa)], [m__3671])).
% 90.10/16.78 thf(zip_derived_cl5152, plain,
% 90.10/16.78 (![X0 : $i]: (~ (aElementOf0 @ X0 @ szNzAzT0) | (zip_tseitin_23 @ X0))),
% 90.10/16.78 inference('clc', [status(thm)], [zip_derived_cl5151, zip_derived_cl236])).
% 90.10/16.78 thf(zip_derived_cl43205, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ sk__30))
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | (sdtlseqdt0 @ sk__30 @ X0))),
% 90.10/16.78 inference('clc', [status(thm)], [zip_derived_cl41956, zip_derived_cl5152])).
% 90.10/16.78 thf(zip_derived_cl43289, plain,
% 90.10/16.78 ((~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__29)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ sk__30))
% 90.10/16.78 | (sdtlseqdt0 @ sk__30 @ sk__29))),
% 90.10/16.78 inference('s_sup-', [status(thm)],
% 90.10/16.78 [zip_derived_cl244, zip_derived_cl43205])).
% 90.10/16.78 thf(zip_derived_cl241, plain,
% 90.10/16.78 ( (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__29)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ sk__30))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl243, plain, ( (aElementOf0 @ sk__30 @ szNzAzT0)),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl244, plain, ( (aElementOf0 @ sk__29 @ szNzAzT0)),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(mLessASymm, axiom,
% 90.10/16.78 (![W0:$i,W1:$i]:
% 90.10/16.78 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 90.10/16.78 ( ( ( sdtlseqdt0 @ W0 @ W1 ) & ( sdtlseqdt0 @ W1 @ W0 ) ) =>
% 90.10/16.78 ( ( W0 ) = ( W1 ) ) ) ))).
% 90.10/16.78 thf(zip_derived_cl59, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 90.10/16.78 | ((X0) = (X1))
% 90.10/16.78 | ~ (sdtlseqdt0 @ X1 @ X0)
% 90.10/16.78 | ~ (sdtlseqdt0 @ X0 @ X1))),
% 90.10/16.78 inference('cnf', [status(esa)], [mLessASymm])).
% 90.10/16.78 thf(zip_derived_cl2394, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ((sk__29) = (X0))
% 90.10/16.78 | ~ (sdtlseqdt0 @ X0 @ sk__29)
% 90.10/16.78 | ~ (sdtlseqdt0 @ sk__29 @ X0))),
% 90.10/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl59])).
% 90.10/16.78 thf(zip_derived_cl6402, plain,
% 90.10/16.78 ((((sk__29) = (sk__30))
% 90.10/16.78 | ~ (sdtlseqdt0 @ sk__30 @ sk__29)
% 90.10/16.78 | ~ (sdtlseqdt0 @ sk__29 @ sk__30))),
% 90.10/16.78 inference('s_sup-', [status(thm)],
% 90.10/16.78 [zip_derived_cl243, zip_derived_cl2394])).
% 90.10/16.78 thf(zip_derived_cl242, plain, (((sk__29) != (sk__30))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl6412, plain,
% 90.10/16.78 ((~ (sdtlseqdt0 @ sk__30 @ sk__29) | ~ (sdtlseqdt0 @ sk__29 @ sk__30))),
% 90.10/16.78 inference('simplify_reflect-', [status(thm)],
% 90.10/16.78 [zip_derived_cl6402, zip_derived_cl242])).
% 90.10/16.78 thf(zip_derived_cl61, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 90.10/16.78 | (sdtlseqdt0 @ X0 @ X1)
% 90.10/16.78 | (sdtlseqdt0 @ (szszuzczcdt0 @ X1) @ X0))),
% 90.10/16.78 inference('cnf', [status(esa)], [mLessTotal])).
% 90.10/16.78 thf(zip_derived_cl244, plain, ( (aElementOf0 @ sk__29 @ szNzAzT0)),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl237, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X0))
% 90.10/16.78 | (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X1))
% 90.10/16.78 | ~ (sdtlseqdt0 @ X1 @ X0))),
% 90.10/16.78 inference('cnf', [status(esa)], [m__3754])).
% 90.10/16.78 thf(zip_derived_cl4420, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ sk__29))
% 90.10/16.78 | (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ X0))
% 90.10/16.78 | ~ (sdtlseqdt0 @ X0 @ sk__29))),
% 90.10/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl237])).
% 90.10/16.78 thf(zip_derived_cl4431, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 ( (sdtlseqdt0 @ sk__29 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ sk__29 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ (szszuzczcdt0 @ X0) @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ sk__29))
% 90.10/16.78 | (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0))))),
% 90.10/16.78 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl4420])).
% 90.10/16.78 thf(zip_derived_cl244, plain, ( (aElementOf0 @ sk__29 @ szNzAzT0)),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl4439, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 ( (sdtlseqdt0 @ sk__29 @ X0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ (szszuzczcdt0 @ X0) @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ sk__29))
% 90.10/16.78 | (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0))))),
% 90.10/16.78 inference('demod', [status(thm)], [zip_derived_cl4431, zip_derived_cl244])).
% 90.10/16.78 thf(zip_derived_cl46, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 ( (aElementOf0 @ (szszuzczcdt0 @ X0) @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 90.10/16.78 inference('cnf', [status(esa)], [mSuccNum])).
% 90.10/16.78 thf(zip_derived_cl21891, plain,
% 90.10/16.78 (![X0 : $i, X1 : $i]:
% 90.10/16.78 ( (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0)))
% 90.10/16.78 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ sk__29))
% 90.10/16.78 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 90.10/16.78 | (sdtlseqdt0 @ sk__29 @ X0))),
% 90.10/16.78 inference('clc', [status(thm)], [zip_derived_cl4439, zip_derived_cl46])).
% 90.10/16.78 thf(zip_derived_cl5152, plain,
% 90.10/16.78 (![X0 : $i]: (~ (aElementOf0 @ X0 @ szNzAzT0) | (zip_tseitin_23 @ X0))),
% 90.10/16.78 inference('clc', [status(thm)], [zip_derived_cl5151, zip_derived_cl236])).
% 90.10/16.78 thf(zip_derived_cl239, plain,
% 90.10/16.78 (((szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__29))
% 90.10/16.78 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__30)))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl41823, plain,
% 90.10/16.78 (![X0 : $i]:
% 90.10/16.78 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0)))
% 90.10/16.78 | ~ (zip_tseitin_23 @ X0))),
% 90.10/16.78 inference('simplify', [status(thm)], [zip_derived_cl41810])).
% 90.10/16.78 thf(zip_derived_cl41961, plain,
% 90.10/16.78 ((~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__29)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ sk__30)))
% 90.10/16.78 | ~ (zip_tseitin_23 @ sk__30))),
% 90.10/16.78 inference('s_sup-', [status(thm)],
% 90.10/16.78 [zip_derived_cl239, zip_derived_cl41823])).
% 90.10/16.78 thf(zip_derived_cl41994, plain,
% 90.10/16.78 ((~ (aElementOf0 @ sk__30 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__29)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ sk__30))))),
% 90.10/16.78 inference('s_sup-', [status(thm)],
% 90.10/16.78 [zip_derived_cl5152, zip_derived_cl41961])).
% 90.10/16.78 thf(zip_derived_cl243, plain, ( (aElementOf0 @ sk__30 @ szNzAzT0)),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl41995, plain,
% 90.10/16.78 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__29)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ sk__30)))),
% 90.10/16.78 inference('demod', [status(thm)],
% 90.10/16.78 [zip_derived_cl41994, zip_derived_cl243])).
% 90.10/16.78 thf(zip_derived_cl41996, plain,
% 90.10/16.78 (( (sdtlseqdt0 @ sk__29 @ sk__30)
% 90.10/16.78 | ~ (aElementOf0 @ sk__30 @ szNzAzT0)
% 90.10/16.78 | ~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__29)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ sk__29)))),
% 90.10/16.78 inference('s_sup-', [status(thm)],
% 90.10/16.78 [zip_derived_cl21891, zip_derived_cl41995])).
% 90.10/16.78 thf(zip_derived_cl243, plain, ( (aElementOf0 @ sk__30 @ szNzAzT0)),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl245, plain,
% 90.10/16.78 ( (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__29)) @
% 90.10/16.78 (sdtlpdtrp0 @ xN @ sk__29))),
% 90.10/16.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 90.10/16.78 thf(zip_derived_cl41998, plain, ( (sdtlseqdt0 @ sk__29 @ sk__30)),
% 90.10/16.78 inference('demod', [status(thm)],
% 90.10/16.78 [zip_derived_cl41996, zip_derived_cl243, zip_derived_cl245])).
% 90.10/16.78 thf(zip_derived_cl42000, plain, (~ (sdtlseqdt0 @ sk__30 @ sk__29)),
% 90.10/16.78 inference('demod', [status(thm)],
% 90.10/16.78 [zip_derived_cl6412, zip_derived_cl41998])).
% 90.10/16.78 thf(zip_derived_cl43308, plain, ($false),
% 90.10/16.78 inference('demod', [status(thm)],
% 90.10/16.78 [zip_derived_cl43289, zip_derived_cl241, zip_derived_cl42000])).
% 90.10/16.78
% 90.10/16.78 % SZS output end Refutation
% 90.10/16.78
% 90.10/16.78
% 90.10/16.78 % Terminating...
% 90.68/17.02 % Runner terminated.
% 90.68/17.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------