%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM586+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.ELV73ps29h true
% Computer : n023.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 04:47:32 PM UTC 2025
% Result : Theorem 4.87s 1.28s
% Output : Refutation 4.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM586+3 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ELV73ps29h true
% 0.12/0.35 % Computer : n023.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 16:51:38 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.55/0.68 % Total configuration time : 435
% 0.55/0.68 % Estimated wc time : 1092
% 0.55/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.87/1.28 % Solved by fo/fo3_bce.sh.
% 4.87/1.28 % BCE start: 326
% 4.87/1.28 % BCE eliminated: 39
% 4.87/1.28 % PE start: 287
% 4.87/1.28 logic: eq
% 4.87/1.28 % PE eliminated: 20
% 4.87/1.28 % done 760 iterations in 0.527s
% 4.87/1.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.87/1.28 % SZS output start Refutation
% 4.87/1.28 thf(zip_tseitin_40_type, type, zip_tseitin_40: $i > $o).
% 4.87/1.28 thf(zip_tseitin_37_type, type, zip_tseitin_37: $i > $o).
% 4.87/1.28 thf(aSet0_type, type, aSet0: $i > $o).
% 4.87/1.28 thf(szDzozmdt0_type, type, szDzozmdt0: $i > $i).
% 4.87/1.28 thf(zip_tseitin_44_type, type, zip_tseitin_44: $i > $i > $o).
% 4.87/1.28 thf(aFunction0_type, type, aFunction0: $i > $o).
% 4.87/1.28 thf(zip_tseitin_41_type, type, zip_tseitin_41: $i > $i > $i > $o).
% 4.87/1.28 thf(zip_tseitin_47_type, type, zip_tseitin_47: $i > $i > $i > $o).
% 4.87/1.28 thf(slbdtsldtrb0_type, type, slbdtsldtrb0: $i > $i > $i).
% 4.87/1.28 thf(zip_tseitin_39_type, type, zip_tseitin_39: $i > $i > $o).
% 4.87/1.28 thf(zip_tseitin_42_type, type, zip_tseitin_42: $i > $i > $o).
% 4.87/1.28 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 4.87/1.28 thf(xc_type, type, xc: $i).
% 4.87/1.28 thf(aElement0_type, type, aElement0: $i > $o).
% 4.87/1.28 thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 4.87/1.28 thf(zip_tseitin_48_type, type, zip_tseitin_48: $i > $i > $i > $o).
% 4.87/1.28 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 4.87/1.28 thf(zip_tseitin_49_type, type, zip_tseitin_49: $i > $i > $o).
% 4.87/1.28 thf(sk__30_type, type, sk__30: $i).
% 4.87/1.28 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 4.87/1.28 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 4.87/1.28 thf(zip_tseitin_50_type, type, zip_tseitin_50: $i > $o).
% 4.87/1.28 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 4.87/1.28 thf(xC_type, type, xC: $i).
% 4.87/1.28 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 4.87/1.28 thf(zip_tseitin_45_type, type, zip_tseitin_45: $i > $i > $o).
% 4.87/1.28 thf(xk_type, type, xk: $i).
% 4.87/1.28 thf(zip_tseitin_43_type, type, zip_tseitin_43: $i > $i > $o).
% 4.87/1.28 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 4.87/1.28 thf(xi_type, type, xi: $i).
% 4.87/1.28 thf(xN_type, type, xN: $i).
% 4.87/1.28 thf(xx_type, type, xx: $i).
% 4.87/1.28 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 4.87/1.28 thf(zip_tseitin_38_type, type, zip_tseitin_38: $i > $i > $o).
% 4.87/1.28 thf(zip_tseitin_46_type, type, zip_tseitin_46: $i > $i > $i > $o).
% 4.87/1.28 thf(sdtlcdtrc0_type, type, sdtlcdtrc0: $i > $i > $i).
% 4.87/1.28 thf(m__4200_02, axiom,
% 4.87/1.28 (( aElementOf0 @
% 4.87/1.28 xx @
% 4.87/1.28 ( sdtlcdtrc0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xC @ xi ) @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ xi ) ) ) ) &
% 4.87/1.28 ( ?[W0:$i]:
% 4.87/1.28 ( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W0 ) = ( xx ) ) &
% 4.87/1.28 ( aElementOf0 @ W0 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ xi ) ) ) ) ))).
% 4.87/1.28 thf(zip_derived_cl310, plain,
% 4.87/1.28 (((sdtlpdtrp0 @ (sdtlpdtrp0 @ xC @ xi) @ sk__30) = (xx))),
% 4.87/1.28 inference('cnf', [status(esa)], [m__4200_02])).
% 4.87/1.28 thf(m__, conjecture,
% 4.87/1.28 (?[W0:$i]:
% 4.87/1.28 ( ( ( ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 4.87/1.28 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W1 ) ) ) &
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) ) ) =>
% 4.87/1.28 ( ( ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 4.87/1.28 ( ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) &
% 4.87/1.28 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) ) &
% 4.87/1.28 ( aElement0 @ W1 ) ) ) ) &
% 4.87/1.28 ( aSet0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) =>
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W0 @
% 4.87/1.28 ( slbdtsldtrb0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @
% 4.87/1.28 xk ) ) |
% 4.87/1.28 ( ( ( sbrdtbr0 @ W0 ) = ( xk ) ) &
% 4.87/1.28 ( ( aSubsetOf0 @
% 4.87/1.28 W0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) |
% 4.87/1.28 ( ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W1 @ W0 ) =>
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) &
% 4.87/1.28 ( aSet0 @ W0 ) ) ) ) ) ) ) &
% 4.87/1.28 ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W0 ) = ( xx ) ) ))).
% 4.87/1.28 thf(zf_stmt_0, type, zip_tseitin_50 : $i > $o).
% 4.87/1.28 thf(zf_stmt_1, axiom,
% 4.87/1.28 (![W1:$i]:
% 4.87/1.28 ( ( zip_tseitin_50 @ W1 ) <=>
% 4.87/1.28 ( ( aElement0 @ W1 ) &
% 4.87/1.28 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) ) &
% 4.87/1.28 ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ))).
% 4.87/1.28 thf(zf_stmt_2, conjecture,
% 4.87/1.28 (?[W0:$i]:
% 4.87/1.28 ( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W0 ) = ( xx ) ) &
% 4.87/1.28 ( ( ( aElementOf0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 4.87/1.28 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W1 ) ) ) ) =>
% 4.87/1.28 ( ( ( aSet0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 4.87/1.28 ( zip_tseitin_50 @ W1 ) ) ) ) =>
% 4.87/1.28 ( ( ( ( ( aSet0 @ W0 ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W1 @ W0 ) =>
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ) |
% 4.87/1.28 ( aSubsetOf0 @
% 4.87/1.28 W0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) &
% 4.87/1.28 ( ( sbrdtbr0 @ W0 ) = ( xk ) ) ) |
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W0 @
% 4.87/1.28 ( slbdtsldtrb0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @
% 4.87/1.28 xk ) ) ) ) ) ))).
% 4.87/1.28 thf(zf_stmt_3, negated_conjecture,
% 4.87/1.28 (~( ?[W0:$i]:
% 4.87/1.28 ( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W0 ) = ( xx ) ) &
% 4.87/1.28 ( ( ( aElementOf0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 4.87/1.28 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W1 ) ) ) ) =>
% 4.87/1.28 ( ( ( aSet0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 4.87/1.28 ( zip_tseitin_50 @ W1 ) ) ) ) =>
% 4.87/1.28 ( ( ( ( ( aSet0 @ W0 ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W1 @ W0 ) =>
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ) |
% 4.87/1.28 ( aSubsetOf0 @
% 4.87/1.28 W0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) &
% 4.87/1.28 ( ( sbrdtbr0 @ W0 ) = ( xk ) ) ) |
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W0 @
% 4.87/1.28 ( slbdtsldtrb0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ xi ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @
% 4.87/1.28 xk ) ) ) ) ) ) )),
% 4.87/1.28 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 4.87/1.28 thf(zip_derived_cl320, plain,
% 4.87/1.28 (![X0 : $i]:
% 4.87/1.28 (((sdtlpdtrp0 @ (sdtlpdtrp0 @ xC @ xi) @ X0) != (xx))
% 4.87/1.28 | ~ (aSubsetOf0 @ X0 @
% 4.87/1.28 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 4.87/1.28 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))
% 4.87/1.28 | ((sbrdtbr0 @ X0) != (xk)))),
% 4.87/1.28 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.87/1.28 thf(zip_derived_cl3295, plain,
% 4.87/1.28 ((((xx) != (xx))
% 4.87/1.28 | ((sbrdtbr0 @ sk__30) != (xk))
% 4.87/1.28 | ~ (aSubsetOf0 @ sk__30 @
% 4.87/1.28 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 4.87/1.28 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi)))))),
% 4.87/1.28 inference('sup-', [status(thm)], [zip_derived_cl310, zip_derived_cl320])).
% 4.87/1.28 thf(zip_derived_cl311, plain,
% 4.87/1.28 ( (aElementOf0 @ sk__30 @ (szDzozmdt0 @ (sdtlpdtrp0 @ xC @ xi)))),
% 4.87/1.28 inference('cnf', [status(esa)], [m__4200_02])).
% 4.87/1.28 thf(m__4151, axiom,
% 4.87/1.28 (( aFunction0 @ xC ) & ( ( szDzozmdt0 @ xC ) = ( szNzAzT0 ) ) &
% 4.87/1.28 ( ![W0:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 4.87/1.28 ( ( ![W1:$i]:
% 4.87/1.28 ( ( ( ( ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 4.87/1.28 ( sdtlseqdt0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 4.87/1.28 ( ( ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W2 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 4.87/1.28 ( ( ( W2 ) !=
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 4.87/1.28 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 4.87/1.28 ( aElement0 @ W2 ) ) ) ) &
% 4.87/1.28 ( aSet0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( slbdtsldtrb0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 4.87/1.28 xk ) ) |
% 4.87/1.28 ( ( ( sbrdtbr0 @ W1 ) = ( xk ) ) &
% 4.87/1.28 ( ( aSubsetOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) |
% 4.87/1.28 ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W2 @ W1 ) =>
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W2 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) ) ) ) ) &
% 4.87/1.28 ( aSet0 @ W1 ) ) =>
% 4.87/1.28 ( ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 ) =
% 4.87/1.28 ( sdtlpdtrp0 @
% 4.87/1.28 xc @
% 4.87/1.28 ( sdtpldt0 @
% 4.87/1.28 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) &
% 4.87/1.28 ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W2 @
% 4.87/1.28 ( sdtpldt0 @
% 4.87/1.28 W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 4.87/1.28 ( ( ( ( W2 ) = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) |
% 4.87/1.28 ( aElementOf0 @ W2 @ W1 ) ) &
% 4.87/1.28 ( aElement0 @ W2 ) ) ) ) &
% 4.87/1.28 ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 4.87/1.28 ( sdtlseqdt0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) &
% 4.87/1.28 ( ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) =
% 4.87/1.28 ( slbdtsldtrb0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 4.87/1.28 xk ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) ) =>
% 4.87/1.28 ( ( ( sbrdtbr0 @ W1 ) = ( xk ) ) &
% 4.87/1.28 ( aSubsetOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 4.87/1.28 ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W2 @ W1 ) =>
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W2 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 4.87/1.28 ( aSet0 @ W1 ) ) ) &
% 4.87/1.28 ( ( ( ( sbrdtbr0 @ W1 ) = ( xk ) ) &
% 4.87/1.28 ( ( aSubsetOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) |
% 4.87/1.28 ( ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W2 @ W1 ) =>
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W2 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 4.87/1.28 ( aSet0 @ W1 ) ) ) ) =>
% 4.87/1.28 ( aElementOf0 @ W1 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) ) ) ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 4.87/1.28 ( ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 4.87/1.28 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 4.87/1.28 ( aElement0 @ W1 ) ) ) ) &
% 4.87/1.28 ( aSet0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 4.87/1.28 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 4.87/1.28 ( aFunction0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) ) ) ))).
% 4.87/1.28 thf(zf_stmt_4, type, zip_tseitin_49 : $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_5, axiom,
% 4.87/1.28 (![W1:$i,W0:$i]:
% 4.87/1.28 ( ( zip_tseitin_49 @ W1 @ W0 ) =>
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 4.87/1.28 ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 4.87/1.28 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 4.87/1.28 ( ![W2:$i]: ( zip_tseitin_48 @ W2 @ W1 @ W0 ) ) &
% 4.87/1.28 ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 ) =
% 4.87/1.28 ( sdtlpdtrp0 @
% 4.87/1.28 xc @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ))).
% 4.87/1.28 thf(zf_stmt_6, type, zip_tseitin_48 : $i > $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_7, axiom,
% 4.87/1.28 (![W2:$i,W1:$i,W0:$i]:
% 4.87/1.28 ( ( zip_tseitin_48 @ W2 @ W1 @ W0 ) =>
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W2 @ ( sdtpldt0 @ W1 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 4.87/1.28 ( zip_tseitin_47 @ W2 @ W1 @ W0 ) ) ))).
% 4.87/1.28 thf(zf_stmt_8, type, zip_tseitin_47 : $i > $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_9, axiom,
% 4.87/1.28 (![W2:$i,W1:$i,W0:$i]:
% 4.87/1.28 ( ( zip_tseitin_47 @ W2 @ W1 @ W0 ) <=>
% 4.87/1.28 ( ( aElement0 @ W2 ) & ( zip_tseitin_46 @ W2 @ W1 @ W0 ) ) ))).
% 4.87/1.28 thf(zf_stmt_10, type, zip_tseitin_46 : $i > $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_11, axiom,
% 4.87/1.28 (![W2:$i,W1:$i,W0:$i]:
% 4.87/1.28 ( ( zip_tseitin_46 @ W2 @ W1 @ W0 ) <=>
% 4.87/1.28 ( ( aElementOf0 @ W2 @ W1 ) |
% 4.87/1.28 ( ( W2 ) = ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 4.87/1.28 thf(zf_stmt_12, type, zip_tseitin_45 : $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_13, axiom,
% 4.87/1.28 (![W1:$i,W0:$i]:
% 4.87/1.28 ( ( ( zip_tseitin_37 @ W0 ) => ( zip_tseitin_44 @ W1 @ W0 ) ) =>
% 4.87/1.28 ( zip_tseitin_45 @ W1 @ W0 ) ))).
% 4.87/1.28 thf(zf_stmt_14, type, zip_tseitin_44 : $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_15, axiom,
% 4.87/1.28 (![W1:$i,W0:$i]:
% 4.87/1.28 ( ( ( zip_tseitin_40 @ W0 ) => ( zip_tseitin_43 @ W1 @ W0 ) ) =>
% 4.87/1.28 ( zip_tseitin_44 @ W1 @ W0 ) ))).
% 4.87/1.28 thf(zf_stmt_16, type, zip_tseitin_43 : $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_17, axiom,
% 4.87/1.28 (![W1:$i,W0:$i]:
% 4.87/1.28 ( ( ( ( zip_tseitin_42 @ W1 @ W0 ) & ( ( sbrdtbr0 @ W1 ) = ( xk ) ) ) |
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( slbdtsldtrb0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 4.87/1.28 xk ) ) ) =>
% 4.87/1.28 ( zip_tseitin_43 @ W1 @ W0 ) ))).
% 4.87/1.28 thf(zf_stmt_18, type, zip_tseitin_42 : $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_19, axiom,
% 4.87/1.28 (![W1:$i,W0:$i]:
% 4.87/1.28 ( ( ( ![W2:$i]: ( zip_tseitin_41 @ W2 @ W1 @ W0 ) ) |
% 4.87/1.28 ( aSubsetOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 4.87/1.28 ( zip_tseitin_42 @ W1 @ W0 ) ))).
% 4.87/1.28 thf(zf_stmt_20, type, zip_tseitin_41 : $i > $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_21, axiom,
% 4.87/1.28 (![W2:$i,W1:$i,W0:$i]:
% 4.87/1.28 ( ( ( aElementOf0 @ W2 @ W1 ) =>
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W2 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 4.87/1.28 ( zip_tseitin_41 @ W2 @ W1 @ W0 ) ))).
% 4.87/1.28 thf(zf_stmt_22, type, zip_tseitin_40 : $i > $o).
% 4.87/1.28 thf(zf_stmt_23, axiom,
% 4.87/1.28 (![W0:$i]:
% 4.87/1.28 ( ( zip_tseitin_40 @ W0 ) =>
% 4.87/1.28 ( ( aSet0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 4.87/1.28 ( ![W2:$i]: ( zip_tseitin_39 @ W2 @ W0 ) ) ) ))).
% 4.87/1.28 thf(zf_stmt_24, type, zip_tseitin_39 : $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_25, axiom,
% 4.87/1.28 (![W2:$i,W0:$i]:
% 4.87/1.28 ( ( zip_tseitin_39 @ W2 @ W0 ) =>
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W2 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 4.87/1.28 ( zip_tseitin_38 @ W2 @ W0 ) ) ))).
% 4.87/1.28 thf(zf_stmt_26, type, zip_tseitin_38 : $i > $i > $o).
% 4.87/1.28 thf(zf_stmt_27, axiom,
% 4.87/1.28 (![W2:$i,W0:$i]:
% 4.87/1.28 ( ( zip_tseitin_38 @ W2 @ W0 ) <=>
% 4.87/1.28 ( ( aElement0 @ W2 ) &
% 4.87/1.28 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 4.87/1.28 ( ( W2 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 4.87/1.28 thf(zf_stmt_28, type, zip_tseitin_37 : $i > $o).
% 4.87/1.28 thf(zf_stmt_29, axiom,
% 4.87/1.28 (![W0:$i]:
% 4.87/1.28 ( ( zip_tseitin_37 @ W0 ) =>
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 4.87/1.28 ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 4.87/1.28 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) ) ))).
% 4.87/1.28 thf(zf_stmt_30, axiom,
% 4.87/1.28 (( ![W0:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 4.87/1.28 ( ( aFunction0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) &
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 4.87/1.28 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 4.87/1.28 ( aSet0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( aElementOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 4.87/1.28 ( ( aElement0 @ W1 ) &
% 4.87/1.28 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 4.87/1.28 ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( ( ( ( ( aSet0 @ W1 ) &
% 4.87/1.28 ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W2 @ W1 ) =>
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W2 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) |
% 4.87/1.28 ( aSubsetOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) &
% 4.87/1.28 ( ( sbrdtbr0 @ W1 ) = ( xk ) ) ) =>
% 4.87/1.28 ( aElementOf0 @ W1 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) ) ) &
% 4.87/1.28 ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) ) =>
% 4.87/1.28 ( ( aSet0 @ W1 ) &
% 4.87/1.28 ( ![W2:$i]:
% 4.87/1.28 ( ( aElementOf0 @ W2 @ W1 ) =>
% 4.87/1.28 ( aElementOf0 @
% 4.87/1.28 W2 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 4.87/1.28 ( aSubsetOf0 @
% 4.87/1.28 W1 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 4.87/1.28 ( ( sbrdtbr0 @ W1 ) = ( xk ) ) ) ) ) ) &
% 4.87/1.28 ( ( szDzozmdt0 @ ( sdtlpdtrp0 @ xC @ W0 ) ) =
% 4.87/1.28 ( slbdtsldtrb0 @
% 4.87/1.28 ( sdtmndt0 @
% 4.87/1.28 ( sdtlpdtrp0 @ xN @ W0 ) @
% 4.87/1.28 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 4.87/1.28 xk ) ) &
% 4.87/1.28 ( ![W1:$i]:
% 4.87/1.28 ( ( ( aSet0 @ W1 ) & ( zip_tseitin_45 @ W1 @ W0 ) ) =>
% 4.87/1.28 ( zip_tseitin_49 @ W1 @ W0 ) ) ) ) ) ) &
% 4.87/1.28 ( ( szDzozmdt0 @ xC ) = ( szNzAzT0 ) ) & ( aFunction0 @ xC ))).
% 4.87/1.28 thf(zip_derived_cl300, plain,
% 4.87/1.28 (![X0 : $i, X1 : $i]:
% 4.87/1.28 (~ (aElementOf0 @ X0 @ (szDzozmdt0 @ (sdtlpdtrp0 @ xC @ X1)))
% 4.87/1.28 | ((sbrdtbr0 @ X0) = (xk))
% 4.87/1.28 | ~ (aElementOf0 @ X1 @ szNzAzT0))),
% 4.87/1.28 inference('cnf', [status(esa)], [zf_stmt_30])).
% 4.87/1.28 thf(zip_derived_cl2860, plain,
% 4.87/1.28 ((~ (aElementOf0 @ xi @ szNzAzT0) | ((sbrdtbr0 @ sk__30) = (xk)))),
% 4.87/1.28 inference('sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl300])).
% 4.87/1.28 thf(m__4200, axiom, (aElementOf0 @ xi @ szNzAzT0)).
% 4.87/1.28 thf(zip_derived_cl309, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 4.87/1.28 inference('cnf', [status(esa)], [m__4200])).
% 4.87/1.28 thf(zip_derived_cl2861, plain, (((sbrdtbr0 @ sk__30) = (xk))),
% 4.87/1.28 inference('demod', [status(thm)], [zip_derived_cl2860, zip_derived_cl309])).
% 4.87/1.28 thf(zip_derived_cl3296, plain,
% 4.87/1.28 ((((xx) != (xx))
% 4.87/1.28 | ((xk) != (xk))
% 4.87/1.28 | ~ (aSubsetOf0 @ sk__30 @
% 4.87/1.28 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 4.87/1.28 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi)))))),
% 4.87/1.28 inference('demod', [status(thm)],
% 4.87/1.28 [zip_derived_cl3295, zip_derived_cl2861])).
% 4.87/1.28 thf(zip_derived_cl3297, plain,
% 4.87/1.28 (~ (aSubsetOf0 @ sk__30 @
% 4.87/1.28 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 4.87/1.28 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))),
% 4.87/1.28 inference('simplify', [status(thm)], [zip_derived_cl3296])).
% 4.87/1.28 thf(zip_derived_cl311, plain,
% 4.87/1.28 ( (aElementOf0 @ sk__30 @ (szDzozmdt0 @ (sdtlpdtrp0 @ xC @ xi)))),
% 4.87/1.28 inference('cnf', [status(esa)], [m__4200_02])).
% 4.87/1.28 thf(zip_derived_cl301, plain,
% 4.87/1.28 (![X0 : $i, X1 : $i]:
% 4.87/1.28 (~ (aElementOf0 @ X0 @ (szDzozmdt0 @ (sdtlpdtrp0 @ xC @ X1)))
% 4.87/1.28 | (aSubsetOf0 @ X0 @
% 4.87/1.28 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ X1) @
% 4.87/1.28 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X1))))
% 4.87/1.28 | ~ (aElementOf0 @ X1 @ szNzAzT0))),
% 4.87/1.28 inference('cnf', [status(esa)], [zf_stmt_30])).
% 4.87/1.28 thf(zip_derived_cl5706, plain,
% 4.87/1.28 ((~ (aElementOf0 @ xi @ szNzAzT0)
% 4.87/1.28 | (aSubsetOf0 @ sk__30 @
% 4.87/1.28 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 4.87/1.28 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi)))))),
% 4.87/1.28 inference('sup-', [status(thm)], [zip_derived_cl311, zip_derived_cl301])).
% 4.87/1.28 thf(zip_derived_cl309, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 4.87/1.28 inference('cnf', [status(esa)], [m__4200])).
% 4.87/1.28 thf(zip_derived_cl5708, plain,
% 4.87/1.28 ( (aSubsetOf0 @ sk__30 @
% 4.87/1.28 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 4.87/1.28 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))),
% 4.87/1.28 inference('demod', [status(thm)], [zip_derived_cl5706, zip_derived_cl309])).
% 4.87/1.28 thf(zip_derived_cl5713, plain, ($false),
% 4.87/1.28 inference('demod', [status(thm)],
% 4.87/1.28 [zip_derived_cl3297, zip_derived_cl5708])).
% 4.87/1.28
% 4.87/1.28 % SZS output end Refutation
% 4.87/1.28
% 4.87/1.28
% 4.87/1.28 % Terminating...
% 5.36/1.36 % Runner terminated.
% 5.36/1.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------