%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM574+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.QCV5ffQIgB true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:47:30 PM UTC 2025
% Result : Theorem 5.33s 1.31s
% Output : Refutation 5.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : NUM574+3 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QCV5ffQIgB true
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:35:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.46/0.59 % Total configuration time : 435
% 0.46/0.59 % Estimated wc time : 1092
% 0.46/0.59 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.33/1.31 % Solved by fo/fo6_bce.sh.
% 5.33/1.31 % BCE start: 247
% 5.33/1.31 % BCE eliminated: 0
% 5.33/1.31 % PE start: 247
% 5.33/1.31 logic: eq
% 5.33/1.31 % PE eliminated: 19
% 5.33/1.31 % done 411 iterations in 0.607s
% 5.33/1.31 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.33/1.31 % SZS output start Refutation
% 5.33/1.31 thf(aSet0_type, type, aSet0: $i > $o).
% 5.33/1.31 thf(szDzozmdt0_type, type, szDzozmdt0: $i > $i).
% 5.33/1.31 thf(aFunction0_type, type, aFunction0: $i > $o).
% 5.33/1.31 thf(sk__4_type, type, sk__4: $i > $i).
% 5.33/1.31 thf(sz00_type, type, sz00: $i).
% 5.33/1.31 thf(zip_tseitin_20_type, type, zip_tseitin_20: $i > $o).
% 5.33/1.31 thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 5.33/1.31 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 5.33/1.31 thf(isCountable0_type, type, isCountable0: $i > $o).
% 5.33/1.31 thf(zip_tseitin_22_type, type, zip_tseitin_22: $i > $i > $o).
% 5.33/1.31 thf(aElement0_type, type, aElement0: $i > $o).
% 5.33/1.31 thf(zip_tseitin_21_type, type, zip_tseitin_21: $i > $i > $o).
% 5.33/1.31 thf(xS_type, type, xS: $i).
% 5.33/1.31 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 5.33/1.31 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 5.33/1.31 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 5.33/1.31 thf(xi_type, type, xi: $i).
% 5.33/1.31 thf(zip_tseitin_23_type, type, zip_tseitin_23: $i > $o).
% 5.33/1.31 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 5.33/1.31 thf(xj_type, type, xj: $i).
% 5.33/1.31 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 5.33/1.31 thf(xN_type, type, xN: $i).
% 5.33/1.31 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 5.33/1.31 thf(zip_tseitin_19_type, type, zip_tseitin_19: $i > $i > $o).
% 5.33/1.31 thf(mSubRefl, axiom,
% 5.33/1.31 (![W0:$i]: ( ( aSet0 @ W0 ) => ( aSubsetOf0 @ W0 @ W0 ) ))).
% 5.33/1.31 thf(zip_derived_cl16, plain,
% 5.33/1.31 (![X0 : $i]: ( (aSubsetOf0 @ X0 @ X0) | ~ (aSet0 @ X0))),
% 5.33/1.31 inference('cnf', [status(esa)], [mSubRefl])).
% 5.33/1.31 thf(m__, conjecture,
% 5.33/1.31 (( sdtlseqdt0 @ xj @ xi ) =>
% 5.33/1.31 ( ( ![W0:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 5.33/1.31 ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) |
% 5.33/1.31 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ))).
% 5.33/1.31 thf(zf_stmt_0, negated_conjecture,
% 5.33/1.31 (~( ( sdtlseqdt0 @ xj @ xi ) =>
% 5.33/1.31 ( ( ![W0:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 5.33/1.31 ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) |
% 5.33/1.31 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ) )),
% 5.33/1.31 inference('cnf.neg', [status(esa)], [m__])).
% 5.33/1.31 thf(zip_derived_cl246, plain,
% 5.33/1.31 (~ (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ xi) @ (sdtlpdtrp0 @ xN @ xj))),
% 5.33/1.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.31 thf(mNatExtra, axiom,
% 5.33/1.31 (![W0:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 5.33/1.31 ( ( ( W0 ) = ( sz00 ) ) |
% 5.33/1.31 ( ?[W1:$i]:
% 5.33/1.31 ( ( ( W0 ) = ( szszuzczcdt0 @ W1 ) ) &
% 5.33/1.31 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) ) ))).
% 5.33/1.31 thf(zip_derived_cl49, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 (((X0) = (szszuzczcdt0 @ (sk__4 @ X0)))
% 5.33/1.31 | ((X0) = (sz00))
% 5.33/1.31 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 5.33/1.31 inference('cnf', [status(esa)], [mNatExtra])).
% 5.33/1.31 thf(m__3786_02, axiom,
% 5.33/1.31 (( ( sdtlseqdt0 @ xj @ xi ) &
% 5.33/1.31 ( ?[W0:$i]:
% 5.33/1.31 ( ( ( szszuzczcdt0 @ W0 ) = ( xi ) ) & ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) ) =>
% 5.33/1.31 ( ( sdtlseqdt0 @ xj @ xi ) =>
% 5.33/1.31 ( ( ![W0:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 5.33/1.31 ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) &
% 5.33/1.31 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ))).
% 5.33/1.31 thf(zip_derived_cl241, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 (~ (sdtlseqdt0 @ xj @ xi)
% 5.33/1.31 | (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ xi) @ (sdtlpdtrp0 @ xN @ xj))
% 5.33/1.31 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.33/1.31 | ((szszuzczcdt0 @ X0) != (xi))
% 5.33/1.31 | ~ (sdtlseqdt0 @ xj @ xi))),
% 5.33/1.31 inference('cnf', [status(esa)], [m__3786_02])).
% 5.33/1.31 thf(zip_derived_cl2136, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 (((szszuzczcdt0 @ X0) != (xi))
% 5.33/1.31 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.33/1.31 | (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ xi) @ (sdtlpdtrp0 @ xN @ xj))
% 5.33/1.31 | ~ (sdtlseqdt0 @ xj @ xi))),
% 5.33/1.31 inference('simplify', [status(thm)], [zip_derived_cl241])).
% 5.33/1.31 thf(zip_derived_cl243, plain, ( (sdtlseqdt0 @ xj @ xi)),
% 5.33/1.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.31 thf(zip_derived_cl2137, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 (((szszuzczcdt0 @ X0) != (xi))
% 5.33/1.31 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.33/1.31 | (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ xi) @ (sdtlpdtrp0 @ xN @ xj)))),
% 5.33/1.31 inference('demod', [status(thm)], [zip_derived_cl2136, zip_derived_cl243])).
% 5.33/1.31 thf(zip_derived_cl246, plain,
% 5.33/1.31 (~ (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ xi) @ (sdtlpdtrp0 @ xN @ xj))),
% 5.33/1.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.31 thf(zip_derived_cl2138, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 (~ (aElementOf0 @ X0 @ szNzAzT0) | ((szszuzczcdt0 @ X0) != (xi)))),
% 5.33/1.31 inference('clc', [status(thm)], [zip_derived_cl2137, zip_derived_cl246])).
% 5.33/1.31 thf(zip_derived_cl2307, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.33/1.31 | ((X0) = (sz00))
% 5.33/1.31 | ~ (aElementOf0 @ (sk__4 @ X0) @ szNzAzT0)
% 5.33/1.31 | ((X0) != (xi)))),
% 5.33/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl2138])).
% 5.33/1.31 thf(zip_derived_cl50, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 ( (aElementOf0 @ (sk__4 @ X0) @ szNzAzT0)
% 5.33/1.31 | ((X0) = (sz00))
% 5.33/1.31 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 5.33/1.31 inference('cnf', [status(esa)], [mNatExtra])).
% 5.33/1.31 thf(zip_derived_cl3339, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 (((X0) != (xi)) | ((X0) = (sz00)) | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 5.33/1.31 inference('clc', [status(thm)], [zip_derived_cl2307, zip_derived_cl50])).
% 5.33/1.31 thf(zip_derived_cl3340, plain,
% 5.33/1.31 ((~ (aElementOf0 @ xi @ szNzAzT0) | ((xi) = (sz00)))),
% 5.33/1.31 inference('eq_res', [status(thm)], [zip_derived_cl3339])).
% 5.33/1.31 thf(m__3786, axiom,
% 5.33/1.31 (( aElementOf0 @ xi @ szNzAzT0 ) & ( aElementOf0 @ xj @ szNzAzT0 ))).
% 5.33/1.31 thf(zip_derived_cl237, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 5.33/1.31 inference('cnf', [status(esa)], [m__3786])).
% 5.33/1.31 thf(zip_derived_cl3341, plain, (((xi) = (sz00))),
% 5.33/1.31 inference('demod', [status(thm)], [zip_derived_cl3340, zip_derived_cl237])).
% 5.33/1.31 thf(m__3623, axiom,
% 5.33/1.31 (( aFunction0 @ xN ) & ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) &
% 5.33/1.31 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 5.33/1.31 ( ![W0:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 5.33/1.31 ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.33/1.31 ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) |
% 5.33/1.31 ( ( ![W1:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 5.33/1.31 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 5.33/1.31 ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 5.33/1.31 ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 5.33/1.31 ( aSubsetOf0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 5.33/1.31 ( sdtmndt0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 5.33/1.31 ( ![W1:$i]:
% 5.33/1.31 ( ( aElementOf0 @
% 5.33/1.31 W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 5.33/1.31 ( aElementOf0 @
% 5.33/1.31 W1 @
% 5.33/1.31 ( sdtmndt0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 5.33/1.31 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 5.33/1.31 ( ![W1:$i]:
% 5.33/1.31 ( ( aElementOf0 @
% 5.33/1.31 W1 @
% 5.33/1.31 ( sdtmndt0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 5.33/1.31 ( ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 5.33/1.31 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.33/1.31 ( aElement0 @ W1 ) ) ) ) &
% 5.33/1.31 ( aSet0 @
% 5.33/1.31 ( sdtmndt0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 5.33/1.31 ( ![W1:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 5.33/1.31 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 5.33/1.31 ( aElementOf0 @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ))).
% 5.33/1.31 thf(zf_stmt_1, type, zip_tseitin_23 : $i > $o).
% 5.33/1.31 thf(zf_stmt_2, axiom,
% 5.33/1.31 (![W0:$i]:
% 5.33/1.31 ( ( zip_tseitin_23 @ W0 ) =>
% 5.33/1.31 ( ( aElementOf0 @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.33/1.31 ( ![W1:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 5.33/1.31 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 5.33/1.31 ( aSet0 @
% 5.33/1.31 ( sdtmndt0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 5.33/1.31 ( ![W1:$i]: ( zip_tseitin_22 @ W1 @ W0 ) ) &
% 5.33/1.31 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 5.33/1.31 ( ![W1:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 5.33/1.31 ( aElementOf0 @
% 5.33/1.31 W1 @
% 5.33/1.31 ( sdtmndt0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 5.33/1.31 ( aSubsetOf0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 5.33/1.31 ( sdtmndt0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 5.33/1.31 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ))).
% 5.33/1.31 thf(zf_stmt_3, type, zip_tseitin_22 : $i > $i > $o).
% 5.33/1.31 thf(zf_stmt_4, axiom,
% 5.33/1.31 (![W1:$i,W0:$i]:
% 5.33/1.31 ( ( zip_tseitin_22 @ W1 @ W0 ) =>
% 5.33/1.31 ( ( aElementOf0 @
% 5.33/1.31 W1 @
% 5.33/1.31 ( sdtmndt0 @
% 5.33/1.31 ( sdtlpdtrp0 @ xN @ W0 ) @
% 5.33/1.31 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 5.33/1.31 ( zip_tseitin_21 @ W1 @ W0 ) ) ))).
% 5.33/1.31 thf(zf_stmt_5, type, zip_tseitin_21 : $i > $i > $o).
% 5.33/1.31 thf(zf_stmt_6, axiom,
% 5.33/1.31 (![W1:$i,W0:$i]:
% 5.33/1.31 ( ( zip_tseitin_21 @ W1 @ W0 ) <=>
% 5.33/1.31 ( ( aElement0 @ W1 ) &
% 5.33/1.31 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.33/1.31 ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 5.33/1.31 thf(zf_stmt_7, type, zip_tseitin_20 : $i > $o).
% 5.33/1.31 thf(zf_stmt_8, axiom,
% 5.33/1.31 (![W0:$i]:
% 5.33/1.31 ( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 5.33/1.31 ( ![W1:$i]: ( zip_tseitin_19 @ W1 @ W0 ) ) ) |
% 5.33/1.31 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) ) =>
% 5.33/1.31 ( zip_tseitin_20 @ W0 ) ))).
% 5.33/1.31 thf(zf_stmt_9, type, zip_tseitin_19 : $i > $i > $o).
% 5.33/1.31 thf(zf_stmt_10, axiom,
% 5.33/1.31 (![W1:$i,W0:$i]:
% 5.33/1.31 ( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 5.33/1.31 ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 5.33/1.31 ( zip_tseitin_19 @ W1 @ W0 ) ))).
% 5.33/1.31 thf(zf_stmt_11, axiom,
% 5.33/1.31 (( ![W0:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 5.33/1.31 ( ( ( zip_tseitin_20 @ W0 ) &
% 5.33/1.31 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 5.33/1.31 ( zip_tseitin_23 @ W0 ) ) ) ) &
% 5.33/1.31 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 5.33/1.31 ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) & ( aFunction0 @ xN ))).
% 5.33/1.31 thf(zip_derived_cl231, plain, (((sdtlpdtrp0 @ xN @ sz00) = (xS))),
% 5.33/1.31 inference('cnf', [status(esa)], [zf_stmt_11])).
% 5.33/1.31 thf(zip_derived_cl3345, plain,
% 5.33/1.31 (~ (aSubsetOf0 @ xS @ (sdtlpdtrp0 @ xN @ xj))),
% 5.33/1.31 inference('demod', [status(thm)],
% 5.33/1.31 [zip_derived_cl246, zip_derived_cl3341, zip_derived_cl231])).
% 5.33/1.31 thf(zip_derived_cl237, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 5.33/1.31 inference('cnf', [status(esa)], [m__3786])).
% 5.33/1.31 thf(zip_derived_cl238, plain, ( (aElementOf0 @ xj @ szNzAzT0)),
% 5.33/1.31 inference('cnf', [status(esa)], [m__3786])).
% 5.33/1.31 thf(mLessASymm, axiom,
% 5.33/1.31 (![W0:$i,W1:$i]:
% 5.33/1.31 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 5.33/1.31 ( ( ( sdtlseqdt0 @ W0 @ W1 ) & ( sdtlseqdt0 @ W1 @ W0 ) ) =>
% 5.33/1.31 ( ( W0 ) = ( W1 ) ) ) ))).
% 5.33/1.31 thf(zip_derived_cl59, plain,
% 5.33/1.31 (![X0 : $i, X1 : $i]:
% 5.33/1.31 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.33/1.31 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 5.33/1.31 | ((X0) = (X1))
% 5.33/1.31 | ~ (sdtlseqdt0 @ X1 @ X0)
% 5.33/1.31 | ~ (sdtlseqdt0 @ X0 @ X1))),
% 5.33/1.31 inference('cnf', [status(esa)], [mLessASymm])).
% 5.33/1.31 thf(zip_derived_cl2376, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.33/1.31 | ((xj) = (X0))
% 5.33/1.31 | ~ (sdtlseqdt0 @ X0 @ xj)
% 5.33/1.31 | ~ (sdtlseqdt0 @ xj @ X0))),
% 5.33/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl238, zip_derived_cl59])).
% 5.33/1.31 thf(zip_derived_cl2967, plain,
% 5.33/1.31 ((((xj) = (xi)) | ~ (sdtlseqdt0 @ xi @ xj) | ~ (sdtlseqdt0 @ xj @ xi))),
% 5.33/1.31 inference('s_sup-', [status(thm)],
% 5.33/1.31 [zip_derived_cl237, zip_derived_cl2376])).
% 5.33/1.31 thf(zip_derived_cl243, plain, ( (sdtlseqdt0 @ xj @ xi)),
% 5.33/1.31 inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.33/1.31 thf(zip_derived_cl2979, plain, ((((xj) = (xi)) | ~ (sdtlseqdt0 @ xi @ xj))),
% 5.33/1.31 inference('demod', [status(thm)], [zip_derived_cl2967, zip_derived_cl243])).
% 5.33/1.31 thf(zip_derived_cl3341, plain, (((xi) = (sz00))),
% 5.33/1.31 inference('demod', [status(thm)], [zip_derived_cl3340, zip_derived_cl237])).
% 5.33/1.31 thf(zip_derived_cl3341, plain, (((xi) = (sz00))),
% 5.33/1.31 inference('demod', [status(thm)], [zip_derived_cl3340, zip_derived_cl237])).
% 5.33/1.31 thf(mLessTotal, axiom,
% 5.33/1.31 (![W0:$i,W1:$i]:
% 5.33/1.31 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 5.33/1.31 ( ( sdtlseqdt0 @ W0 @ W1 ) | ( sdtlseqdt0 @ ( szszuzczcdt0 @ W1 ) @ W0 ) ) ))).
% 5.33/1.31 thf(zip_derived_cl61, plain,
% 5.33/1.31 (![X0 : $i, X1 : $i]:
% 5.33/1.31 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 5.33/1.31 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 5.33/1.31 | (sdtlseqdt0 @ X0 @ X1)
% 5.33/1.31 | (sdtlseqdt0 @ (szszuzczcdt0 @ X1) @ X0))),
% 5.33/1.31 inference('cnf', [status(esa)], [mLessTotal])).
% 5.33/1.31 thf(zip_derived_cl238, plain, ( (aElementOf0 @ xj @ szNzAzT0)),
% 5.33/1.31 inference('cnf', [status(esa)], [m__3786])).
% 5.33/1.31 thf(mNoScLessZr, axiom,
% 5.33/1.31 (![W0:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 5.33/1.31 ( ~( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ sz00 ) ) ))).
% 5.33/1.31 thf(zip_derived_cl54, plain,
% 5.33/1.31 (![X0 : $i]:
% 5.33/1.31 (~ (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ sz00)
% 5.33/1.31 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 5.33/1.31 inference('cnf', [status(esa)], [mNoScLessZr])).
% 5.33/1.31 thf(zip_derived_cl2108, plain, (~ (sdtlseqdt0 @ (szszuzczcdt0 @ xj) @ sz00)),
% 5.33/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl238, zip_derived_cl54])).
% 5.33/1.31 thf(zip_derived_cl2435, plain,
% 5.33/1.31 (( (sdtlseqdt0 @ sz00 @ xj)
% 5.33/1.31 | ~ (aElementOf0 @ xj @ szNzAzT0)
% 5.33/1.31 | ~ (aElementOf0 @ sz00 @ szNzAzT0))),
% 5.33/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl2108])).
% 5.33/1.31 thf(zip_derived_cl238, plain, ( (aElementOf0 @ xj @ szNzAzT0)),
% 5.33/1.31 inference('cnf', [status(esa)], [m__3786])).
% 5.33/1.31 thf(mZeroNum, axiom, (aElementOf0 @ sz00 @ szNzAzT0)).
% 5.33/1.31 thf(zip_derived_cl45, plain, ( (aElementOf0 @ sz00 @ szNzAzT0)),
% 5.33/1.31 inference('cnf', [status(esa)], [mZeroNum])).
% 5.33/1.31 thf(zip_derived_cl2453, plain, ( (sdtlseqdt0 @ sz00 @ xj)),
% 5.33/1.31 inference('demod', [status(thm)],
% 5.33/1.31 [zip_derived_cl2435, zip_derived_cl238, zip_derived_cl45])).
% 5.33/1.31 thf(zip_derived_cl3368, plain, (((xj) = (sz00))),
% 5.33/1.31 inference('demod', [status(thm)],
% 5.33/1.31 [zip_derived_cl2979, zip_derived_cl3341, zip_derived_cl3341,
% 5.33/1.31 zip_derived_cl2453])).
% 5.33/1.31 thf(zip_derived_cl231, plain, (((sdtlpdtrp0 @ xN @ sz00) = (xS))),
% 5.33/1.31 inference('cnf', [status(esa)], [zf_stmt_11])).
% 5.33/1.31 thf(zip_derived_cl3544, plain, (~ (aSubsetOf0 @ xS @ xS)),
% 5.33/1.31 inference('demod', [status(thm)],
% 5.33/1.31 [zip_derived_cl3345, zip_derived_cl3368, zip_derived_cl231])).
% 5.33/1.31 thf(zip_derived_cl3545, plain, (~ (aSet0 @ xS)),
% 5.33/1.31 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl3544])).
% 5.33/1.31 thf(m__3435, axiom,
% 5.33/1.31 (( isCountable0 @ xS ) & ( aSubsetOf0 @ xS @ szNzAzT0 ) &
% 5.33/1.31 ( ![W0:$i]:
% 5.33/1.31 ( ( aElementOf0 @ W0 @ xS ) => ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) &
% 5.33/1.31 ( aSet0 @ xS ))).
% 5.33/1.31 thf(zip_derived_cl147, plain, ( (aSet0 @ xS)),
% 5.33/1.31 inference('cnf', [status(esa)], [m__3435])).
% 5.33/1.31 thf(zip_derived_cl3546, plain, ($false),
% 5.33/1.31 inference('demod', [status(thm)], [zip_derived_cl3545, zip_derived_cl147])).
% 5.33/1.31
% 5.33/1.31 % SZS output end Refutation
% 5.33/1.31
% 5.33/1.31
% 5.33/1.31 % Terminating...
% 5.69/1.44 % Runner terminated.
% 5.69/1.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------