%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM577+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.FCbXsH47jq true
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:47:30 PM UTC 2025
% Result : Theorem 10.60s 2.17s
% Output : Refutation 10.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.17 % Problem : NUM577+3 : TPTP v9.2.0. Released v4.0.0.
% 0.14/0.18 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FCbXsH47jq true
% 0.14/0.39 % Computer : n012.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8042.1875MB
% 0.14/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Wed Oct 1 16:41:23 EDT 2025
% 0.14/0.40 % CPUTime :
% 0.14/0.40 % Running portfolio for 300 s
% 0.14/0.40 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40 % Number of cores: 8
% 0.14/0.40 % Python version: Python 3.6.8
% 0.14/0.40 % Running in FO mode
% 0.56/0.71 % Total configuration time : 435
% 0.56/0.71 % Estimated wc time : 1092
% 0.56/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.82 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.60/2.17 % Solved by fo/fo6_bce.sh.
% 10.60/2.17 % BCE start: 289
% 10.60/2.17 % BCE eliminated: 0
% 10.60/2.17 % PE start: 289
% 10.60/2.17 logic: eq
% 10.60/2.17 % PE eliminated: 19
% 10.60/2.17 % done 968 iterations in 1.358s
% 10.60/2.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.60/2.17 % SZS output start Refutation
% 10.60/2.17 thf(aSet0_type, type, aSet0: $i > $o).
% 10.60/2.17 thf(szDzozmdt0_type, type, szDzozmdt0: $i > $i).
% 10.60/2.17 thf(aFunction0_type, type, aFunction0: $i > $o).
% 10.60/2.17 thf(sz00_type, type, sz00: $i).
% 10.60/2.17 thf(zip_tseitin_22_type, type, zip_tseitin_22: $i > $i > $o).
% 10.60/2.17 thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 10.60/2.17 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 10.60/2.17 thf(isCountable0_type, type, isCountable0: $i > $o).
% 10.60/2.17 thf(xn_type, type, xn: $i).
% 10.60/2.17 thf(aElement0_type, type, aElement0: $i > $o).
% 10.60/2.17 thf(zip_tseitin_20_type, type, zip_tseitin_20: $i > $o).
% 10.60/2.17 thf(xS_type, type, xS: $i).
% 10.60/2.17 thf(zip_tseitin_21_type, type, zip_tseitin_21: $i > $i > $o).
% 10.60/2.17 thf(sk__29_type, type, sk__29: $i).
% 10.60/2.17 thf(zip_tseitin_23_type, type, zip_tseitin_23: $i > $o).
% 10.60/2.17 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 10.60/2.17 thf(zip_tseitin_19_type, type, zip_tseitin_19: $i > $i > $o).
% 10.60/2.17 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 10.60/2.17 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 10.60/2.17 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 10.60/2.17 thf(xm_type, type, xm: $i).
% 10.60/2.17 thf(zip_tseitin_24_type, type, zip_tseitin_24: $i > $o).
% 10.60/2.17 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 10.60/2.17 thf(xN_type, type, xN: $i).
% 10.60/2.17 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 10.60/2.17 thf(mSuccNum, axiom,
% 10.60/2.17 (![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 10.60/2.17 ( ( aElementOf0 @ ( szszuzczcdt0 @ W0 ) @ szNzAzT0 ) &
% 10.60/2.17 ( ( szszuzczcdt0 @ W0 ) != ( sz00 ) ) ) ))).
% 10.60/2.17 thf(zip_derived_cl46, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 ( (aElementOf0 @ (szszuzczcdt0 @ X0) @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 10.60/2.17 inference('cnf', [status(esa)], [mSuccNum])).
% 10.60/2.17 thf(m__, conjecture,
% 10.60/2.17 (( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm ) =>
% 10.60/2.17 ( ( ~( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) =
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) ) ) &
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) ) ) &
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xm ) ) ) ) &
% 10.60/2.17 ( ( ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) ) ) &
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) ) ) =>
% 10.60/2.17 ( ( ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @
% 10.60/2.17 W0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) <=>
% 10.60/2.17 ( ( ( W0 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) &
% 10.60/2.17 ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) ) &
% 10.60/2.17 ( aElement0 @ W0 ) ) ) ) &
% 10.60/2.17 ( aSet0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) =>
% 10.60/2.17 ( ( aSubsetOf0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xm ) @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) |
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) ) =>
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 W0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) ) ) ) ))).
% 10.60/2.17 thf(zf_stmt_0, type, zip_tseitin_24 : $i > $o).
% 10.60/2.17 thf(zf_stmt_1, axiom,
% 10.60/2.17 (![W0:$i]:
% 10.60/2.17 ( ( zip_tseitin_24 @ W0 ) <=>
% 10.60/2.17 ( ( aElement0 @ W0 ) &
% 10.60/2.17 ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) ) &
% 10.60/2.17 ( ( W0 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ))).
% 10.60/2.17 thf(zf_stmt_2, conjecture,
% 10.60/2.17 (( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm ) =>
% 10.60/2.17 ( ( ( ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) ) ) ) =>
% 10.60/2.17 ( ( ( aSet0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @
% 10.60/2.17 W0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) <=>
% 10.60/2.17 ( zip_tseitin_24 @ W0 ) ) ) ) =>
% 10.60/2.17 ( ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) ) =>
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 W0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) |
% 10.60/2.17 ( aSubsetOf0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xm ) @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) ) &
% 10.60/2.17 ( ~( ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xm ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) ) ) &
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) ) ) &
% 10.60/2.17 ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) =
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ))).
% 10.60/2.17 thf(zf_stmt_3, negated_conjecture,
% 10.60/2.17 (~( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xn ) @ xm ) =>
% 10.60/2.17 ( ( ( ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) @ W0 ) ) ) ) =>
% 10.60/2.17 ( ( ( aSet0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @
% 10.60/2.17 W0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) <=>
% 10.60/2.17 ( zip_tseitin_24 @ W0 ) ) ) ) =>
% 10.60/2.17 ( ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) ) =>
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 W0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) |
% 10.60/2.17 ( aSubsetOf0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xm ) @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) ) &
% 10.60/2.17 ( ~( ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xm ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xm ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) ) ) &
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ xn ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xn ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) @ W0 ) ) ) &
% 10.60/2.17 ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xm ) ) =
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xn ) ) ) ) ) ) )),
% 10.60/2.17 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 10.60/2.17 thf(zip_derived_cl248, plain, ( (sdtlseqdt0 @ (szszuzczcdt0 @ xn) @ xm)),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.60/2.17 thf(m__3904, axiom,
% 10.60/2.17 (( aElementOf0 @ xm @ szNzAzT0 ) & ( aElementOf0 @ xn @ szNzAzT0 ))).
% 10.60/2.17 thf(zip_derived_cl242, plain, ( (aElementOf0 @ xm @ szNzAzT0)),
% 10.60/2.17 inference('cnf', [status(esa)], [m__3904])).
% 10.60/2.17 thf(m__3754, axiom,
% 10.60/2.17 (![W0:$i,W1:$i]:
% 10.60/2.17 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 10.60/2.17 ( ( sdtlseqdt0 @ W1 @ W0 ) =>
% 10.60/2.17 ( ( ![W2:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 10.60/2.17 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) &
% 10.60/2.17 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ))).
% 10.60/2.17 thf(zip_derived_cl237, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X0))
% 10.60/2.17 | (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X1))
% 10.60/2.17 | ~ (sdtlseqdt0 @ X1 @ X0))),
% 10.60/2.17 inference('cnf', [status(esa)], [m__3754])).
% 10.60/2.17 thf(zip_derived_cl4143, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ X1 @ (sdtlpdtrp0 @ xN @ X0))
% 10.60/2.17 | ~ (sdtlseqdt0 @ X0 @ xm))),
% 10.60/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl242, zip_derived_cl237])).
% 10.60/2.17 thf(zip_derived_cl4300, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ (szszuzczcdt0 @ xn) @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn))))),
% 10.60/2.17 inference('s_sup-', [status(thm)],
% 10.60/2.17 [zip_derived_cl248, zip_derived_cl4143])).
% 10.60/2.17 thf(zip_derived_cl5933, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ xn @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn))))),
% 10.60/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl4300])).
% 10.60/2.17 thf(zip_derived_cl243, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 10.60/2.17 inference('cnf', [status(esa)], [m__3904])).
% 10.60/2.17 thf(zip_derived_cl5934, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn))))),
% 10.60/2.17 inference('demod', [status(thm)], [zip_derived_cl5933, zip_derived_cl243])).
% 10.60/2.17 thf(m__3623, axiom,
% 10.60/2.17 (( aFunction0 @ xN ) & ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) &
% 10.60/2.17 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 10.60/2.17 ( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 10.60/2.17 ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 10.60/2.17 ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) |
% 10.60/2.17 ( ( ![W1:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 10.60/2.17 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 10.60/2.17 ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 10.60/2.17 ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 10.60/2.17 ( aSubsetOf0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 10.60/2.17 ( ![W1:$i]:
% 10.60/2.17 ( ( aElementOf0 @
% 10.60/2.17 W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 W1 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 10.60/2.17 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 10.60/2.17 ( ![W1:$i]:
% 10.60/2.17 ( ( aElementOf0 @
% 10.60/2.17 W1 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 10.60/2.17 ( ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 10.60/2.17 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 10.60/2.17 ( aElement0 @ W1 ) ) ) ) &
% 10.60/2.17 ( aSet0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 10.60/2.17 ( ![W1:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ))).
% 10.60/2.17 thf(zf_stmt_4, axiom,
% 10.60/2.17 (![W0:$i]:
% 10.60/2.17 ( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 10.60/2.17 ( ![W1:$i]: ( zip_tseitin_19 @ W1 @ W0 ) ) ) |
% 10.60/2.17 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) ) =>
% 10.60/2.17 ( zip_tseitin_20 @ W0 ) ))).
% 10.60/2.17 thf(zip_derived_cl214, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 ( (zip_tseitin_20 @ X0)
% 10.60/2.17 | ~ (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_4])).
% 10.60/2.17 thf(zf_stmt_5, type, zip_tseitin_23 : $i > $o).
% 10.60/2.17 thf(zf_stmt_6, axiom,
% 10.60/2.17 (![W0:$i]:
% 10.60/2.17 ( ( zip_tseitin_23 @ W0 ) =>
% 10.60/2.17 ( ( aElementOf0 @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 10.60/2.17 ( ![W1:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 10.60/2.17 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 10.60/2.17 ( aSet0 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 10.60/2.17 ( ![W1:$i]: ( zip_tseitin_22 @ W1 @ W0 ) ) &
% 10.60/2.17 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 10.60/2.17 ( ![W1:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 10.60/2.17 ( aElementOf0 @
% 10.60/2.17 W1 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 10.60/2.17 ( aSubsetOf0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 10.60/2.17 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ))).
% 10.60/2.17 thf(zf_stmt_7, type, zip_tseitin_22 : $i > $i > $o).
% 10.60/2.17 thf(zf_stmt_8, axiom,
% 10.60/2.17 (![W1:$i,W0:$i]:
% 10.60/2.17 ( ( zip_tseitin_22 @ W1 @ W0 ) =>
% 10.60/2.17 ( ( aElementOf0 @
% 10.60/2.17 W1 @
% 10.60/2.17 ( sdtmndt0 @
% 10.60/2.17 ( sdtlpdtrp0 @ xN @ W0 ) @
% 10.60/2.17 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 10.60/2.17 ( zip_tseitin_21 @ W1 @ W0 ) ) ))).
% 10.60/2.17 thf(zf_stmt_9, type, zip_tseitin_21 : $i > $i > $o).
% 10.60/2.17 thf(zf_stmt_10, axiom,
% 10.60/2.17 (![W1:$i,W0:$i]:
% 10.60/2.17 ( ( zip_tseitin_21 @ W1 @ W0 ) <=>
% 10.60/2.17 ( ( aElement0 @ W1 ) &
% 10.60/2.17 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 10.60/2.17 ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 10.60/2.17 thf(zf_stmt_11, type, zip_tseitin_20 : $i > $o).
% 10.60/2.17 thf(zf_stmt_12, type, zip_tseitin_19 : $i > $i > $o).
% 10.60/2.17 thf(zf_stmt_13, axiom,
% 10.60/2.17 (![W1:$i,W0:$i]:
% 10.60/2.17 ( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 10.60/2.17 ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 10.60/2.17 ( zip_tseitin_19 @ W1 @ W0 ) ))).
% 10.60/2.17 thf(zf_stmt_14, axiom,
% 10.60/2.17 (( ![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 10.60/2.17 ( ( ( zip_tseitin_20 @ W0 ) &
% 10.60/2.17 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 10.60/2.17 ( zip_tseitin_23 @ W0 ) ) ) ) &
% 10.60/2.17 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 10.60/2.17 ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) & ( aFunction0 @ xN ))).
% 10.60/2.17 thf(zip_derived_cl232, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (zip_tseitin_20 @ X0)
% 10.60/2.17 | ~ (isCountable0 @ (sdtlpdtrp0 @ xN @ X0))
% 10.60/2.17 | (zip_tseitin_23 @ X0)
% 10.60/2.17 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_14])).
% 10.60/2.17 thf(zip_derived_cl1873, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 10.60/2.17 | (zip_tseitin_23 @ X0)
% 10.60/2.17 | ~ (isCountable0 @ (sdtlpdtrp0 @ xN @ X0)))),
% 10.60/2.17 inference('dp-resolution', [status(thm)],
% 10.60/2.17 [zip_derived_cl214, zip_derived_cl232])).
% 10.60/2.17 thf(m__3671, axiom,
% 10.60/2.17 (![W0:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 10.60/2.17 ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 10.60/2.17 ( ![W1:$i]:
% 10.60/2.17 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 10.60/2.17 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 10.60/2.17 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) &
% 10.60/2.17 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ))).
% 10.60/2.17 thf(zip_derived_cl235, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 ( (aSubsetOf0 @ (sdtlpdtrp0 @ xN @ X0) @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 10.60/2.17 inference('cnf', [status(esa)], [m__3671])).
% 10.60/2.17 thf(zip_derived_cl5068, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (isCountable0 @ (sdtlpdtrp0 @ xN @ X0))
% 10.60/2.17 | (zip_tseitin_23 @ X0)
% 10.60/2.17 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 10.60/2.17 inference('clc', [status(thm)], [zip_derived_cl1873, zip_derived_cl235])).
% 10.60/2.17 thf(zip_derived_cl236, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 ( (isCountable0 @ (sdtlpdtrp0 @ xN @ X0))
% 10.60/2.17 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 10.60/2.17 inference('cnf', [status(esa)], [m__3671])).
% 10.60/2.17 thf(zip_derived_cl5069, plain,
% 10.60/2.17 (![X0 : $i]: (~ (aElementOf0 @ X0 @ szNzAzT0) | (zip_tseitin_23 @ X0))),
% 10.60/2.17 inference('clc', [status(thm)], [zip_derived_cl5068, zip_derived_cl236])).
% 10.60/2.17 thf(zip_derived_cl226, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X1)))
% 10.60/2.17 | (aElementOf0 @ X0 @
% 10.60/2.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X1) @
% 10.60/2.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X1))))
% 10.60/2.17 | ~ (zip_tseitin_23 @ X1))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_6])).
% 10.60/2.17 thf(zip_derived_cl269, plain,
% 10.60/2.17 ((~ (aElementOf0 @ sk__29 @
% 10.60/2.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xn) @
% 10.60/2.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn))))
% 10.60/2.17 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm)))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.60/2.17 thf(zip_derived_cl4100, plain,
% 10.60/2.17 ((~ (zip_tseitin_23 @ xn)
% 10.60/2.17 | ~ (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn)))
% 10.60/2.17 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm)))),
% 10.60/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl269])).
% 10.60/2.17 thf(zip_derived_cl5083, plain,
% 10.60/2.17 ((~ (aElementOf0 @ xn @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn)))
% 10.60/2.17 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm)))),
% 10.60/2.17 inference('s_sup-', [status(thm)],
% 10.60/2.17 [zip_derived_cl5069, zip_derived_cl4100])).
% 10.60/2.17 thf(zip_derived_cl243, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 10.60/2.17 inference('cnf', [status(esa)], [m__3904])).
% 10.60/2.17 thf(zip_derived_cl5104, plain,
% 10.60/2.17 ((~ (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn)))
% 10.60/2.17 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm)))),
% 10.60/2.17 inference('demod', [status(thm)], [zip_derived_cl5083, zip_derived_cl243])).
% 10.60/2.17 thf(zip_derived_cl5934, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn))))),
% 10.60/2.17 inference('demod', [status(thm)], [zip_derived_cl5933, zip_derived_cl243])).
% 10.60/2.17 thf(zip_derived_cl5069, plain,
% 10.60/2.17 (![X0 : $i]: (~ (aElementOf0 @ X0 @ szNzAzT0) | (zip_tseitin_23 @ X0))),
% 10.60/2.17 inference('clc', [status(thm)], [zip_derived_cl5068, zip_derived_cl236])).
% 10.60/2.17 thf(zip_derived_cl226, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X1)))
% 10.60/2.17 | (aElementOf0 @ X0 @
% 10.60/2.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X1) @
% 10.60/2.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X1))))
% 10.60/2.17 | ~ (zip_tseitin_23 @ X1))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_6])).
% 10.60/2.17 thf(zip_derived_cl273, plain,
% 10.60/2.17 ((~ (aElementOf0 @ sk__29 @
% 10.60/2.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xn) @
% 10.60/2.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn))))
% 10.60/2.17 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn))))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.60/2.17 thf(zip_derived_cl4102, plain,
% 10.60/2.17 ((~ (zip_tseitin_23 @ xn)
% 10.60/2.17 | ~ (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn)))
% 10.60/2.17 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn))))),
% 10.60/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl273])).
% 10.60/2.17 thf(zip_derived_cl5085, plain,
% 10.60/2.17 ((~ (aElementOf0 @ xn @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn)))
% 10.60/2.17 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn))))),
% 10.60/2.17 inference('s_sup-', [status(thm)],
% 10.60/2.17 [zip_derived_cl5069, zip_derived_cl4102])).
% 10.60/2.17 thf(zip_derived_cl243, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 10.60/2.17 inference('cnf', [status(esa)], [m__3904])).
% 10.60/2.17 thf(zip_derived_cl5106, plain,
% 10.60/2.17 ((~ (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn)))
% 10.60/2.17 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn))))),
% 10.60/2.17 inference('demod', [status(thm)], [zip_derived_cl5085, zip_derived_cl243])).
% 10.60/2.17 thf(zip_derived_cl5947, plain,
% 10.60/2.17 ((~ (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn))))),
% 10.60/2.17 inference('s_sup-', [status(thm)],
% 10.60/2.17 [zip_derived_cl5934, zip_derived_cl5106])).
% 10.60/2.17 thf(zip_derived_cl268, plain,
% 10.60/2.17 (( (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn))))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.60/2.17 thf(zip_derived_cl5956, plain,
% 10.60/2.17 (((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn)))),
% 10.60/2.17 inference('clc', [status(thm)], [zip_derived_cl5947, zip_derived_cl268])).
% 10.60/2.17 thf(zip_derived_cl5069, plain,
% 10.60/2.17 (![X0 : $i]: (~ (aElementOf0 @ X0 @ szNzAzT0) | (zip_tseitin_23 @ X0))),
% 10.60/2.17 inference('clc', [status(thm)], [zip_derived_cl5068, zip_derived_cl236])).
% 10.60/2.17 thf(zip_derived_cl5934, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn))))),
% 10.60/2.17 inference('demod', [status(thm)], [zip_derived_cl5933, zip_derived_cl243])).
% 10.60/2.17 thf(zip_derived_cl226, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X0 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X1)))
% 10.60/2.17 | (aElementOf0 @ X0 @
% 10.60/2.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X1) @
% 10.60/2.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X1))))
% 10.60/2.17 | ~ (zip_tseitin_23 @ X1))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_6])).
% 10.60/2.17 thf(zip_derived_cl224, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i]:
% 10.60/2.17 ( (zip_tseitin_22 @ X0 @ X1) | ~ (zip_tseitin_23 @ X1))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_6])).
% 10.60/2.17 thf(zip_derived_cl220, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X0 @
% 10.60/2.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X1) @
% 10.60/2.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X1))))
% 10.60/2.17 | (zip_tseitin_21 @ X0 @ X1)
% 10.60/2.17 | ~ (zip_tseitin_22 @ X0 @ X1))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_8])).
% 10.60/2.17 thf(zip_derived_cl1862, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i]:
% 10.60/2.17 (~ (zip_tseitin_23 @ X0)
% 10.60/2.17 | (zip_tseitin_21 @ X1 @ X0)
% 10.60/2.17 | ~ (aElementOf0 @ X1 @
% 10.60/2.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X0) @
% 10.60/2.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))))),
% 10.60/2.17 inference('dp-resolution', [status(thm)],
% 10.60/2.17 [zip_derived_cl224, zip_derived_cl220])).
% 10.60/2.17 thf(zip_derived_cl217, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i]:
% 10.60/2.17 (((X1) != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))
% 10.60/2.17 | ~ (zip_tseitin_21 @ X1 @ X0))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_10])).
% 10.60/2.17 thf(zip_derived_cl1887, plain,
% 10.60/2.17 (![X0 : $i, X1 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ X1 @
% 10.60/2.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X0) @
% 10.60/2.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0))))
% 10.60/2.17 | ~ (zip_tseitin_23 @ X0)
% 10.60/2.17 | ((X1) != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0))))),
% 10.60/2.17 inference('dp-resolution', [status(thm)],
% 10.60/2.17 [zip_derived_cl1862, zip_derived_cl217])).
% 10.60/2.17 thf(zip_derived_cl3682, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (zip_tseitin_23 @ X0)
% 10.60/2.17 | ~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 10.60/2.17 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X0) @
% 10.60/2.17 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))))),
% 10.60/2.17 inference('eq_res', [status(thm)], [zip_derived_cl1887])).
% 10.60/2.17 thf(zip_derived_cl4095, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (zip_tseitin_23 @ X0)
% 10.60/2.17 | ~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0)))
% 10.60/2.17 | ~ (zip_tseitin_23 @ X0))),
% 10.60/2.17 inference('s_sup-', [status(thm)],
% 10.60/2.17 [zip_derived_cl226, zip_derived_cl3682])).
% 10.60/2.17 thf(zip_derived_cl4110, plain,
% 10.60/2.17 (![X0 : $i]:
% 10.60/2.17 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ X0)))
% 10.60/2.17 | ~ (zip_tseitin_23 @ X0))),
% 10.60/2.17 inference('simplify', [status(thm)], [zip_derived_cl4095])).
% 10.60/2.17 thf(zip_derived_cl5939, plain,
% 10.60/2.17 ((~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | ~ (zip_tseitin_23 @ xn))),
% 10.60/2.17 inference('s_sup-', [status(thm)],
% 10.60/2.17 [zip_derived_cl5934, zip_derived_cl4110])).
% 10.60/2.17 thf(zip_derived_cl5951, plain,
% 10.60/2.17 ((~ (aElementOf0 @ xn @ szNzAzT0)
% 10.60/2.17 | ~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm)))),
% 10.60/2.17 inference('s_sup-', [status(thm)],
% 10.60/2.17 [zip_derived_cl5069, zip_derived_cl5939])).
% 10.60/2.17 thf(zip_derived_cl243, plain, ( (aElementOf0 @ xn @ szNzAzT0)),
% 10.60/2.17 inference('cnf', [status(esa)], [m__3904])).
% 10.60/2.17 thf(zip_derived_cl5952, plain,
% 10.60/2.17 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm))),
% 10.60/2.17 inference('demod', [status(thm)], [zip_derived_cl5951, zip_derived_cl243])).
% 10.60/2.17 thf(zip_derived_cl6010, plain,
% 10.60/2.17 (~ (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ (szszuzczcdt0 @ xn)))),
% 10.60/2.17 inference('demod', [status(thm)],
% 10.60/2.17 [zip_derived_cl5104, zip_derived_cl5956, zip_derived_cl5952])).
% 10.60/2.17 thf(zip_derived_cl6138, plain,
% 10.60/2.17 (~ (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ xm))),
% 10.60/2.17 inference('s_sup-', [status(thm)],
% 10.60/2.17 [zip_derived_cl5934, zip_derived_cl6010])).
% 10.60/2.17 thf(zip_derived_cl268, plain,
% 10.60/2.17 (( (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn))))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.60/2.17 thf(zip_derived_cl264, plain,
% 10.60/2.17 (( (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xm)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm)))),
% 10.60/2.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 10.60/2.17 thf(zip_derived_cl2406, plain,
% 10.60/2.17 (( (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm)))),
% 10.60/2.17 inference('s_sup+', [status(thm)], [zip_derived_cl268, zip_derived_cl264])).
% 10.60/2.17 thf(zip_derived_cl2407, plain,
% 10.60/2.17 (( (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm))
% 10.60/2.17 | (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ xm)))),
% 10.60/2.17 inference('simplify', [status(thm)], [zip_derived_cl2406])).
% 10.60/2.17 thf(zip_derived_cl5952, plain,
% 10.60/2.17 (~ (aElementOf0 @ (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xn)) @
% 10.60/2.17 (sdtlpdtrp0 @ xN @ xm))),
% 10.60/2.17 inference('demod', [status(thm)], [zip_derived_cl5951, zip_derived_cl243])).
% 10.60/2.17 thf(zip_derived_cl5955, plain,
% 10.60/2.17 ( (aElementOf0 @ sk__29 @ (sdtlpdtrp0 @ xN @ xm))),
% 10.60/2.17 inference('s_sup-', [status(thm)],
% 10.60/2.17 [zip_derived_cl2407, zip_derived_cl5952])).
% 10.60/2.17 thf(zip_derived_cl6139, plain, ($false),
% 10.60/2.17 inference('demod', [status(thm)],
% 10.60/2.17 [zip_derived_cl6138, zip_derived_cl5955])).
% 10.60/2.17
% 10.60/2.17 % SZS output end Refutation
% 10.60/2.17
% 10.60/2.17
% 10.60/2.17 % Terminating...
% 10.60/2.21 % Runner terminated.
% 10.60/2.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------