%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM592+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.9ehzpw9CPX true
% Computer : n019.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 04:47:33 PM UTC 2025
% Result : Theorem 11.02s 2.20s
% Output : Refutation 11.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : NUM592+3 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9ehzpw9CPX true
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:16:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.48/0.58 % Total configuration time : 435
% 0.48/0.58 % Estimated wc time : 1092
% 0.48/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 11.02/2.20 % Solved by fo/fo3_bce.sh.
% 11.02/2.20 % BCE start: 444
% 11.02/2.20 % BCE eliminated: 0
% 11.02/2.20 % PE start: 444
% 11.02/2.20 logic: eq
% 11.02/2.20 % PE eliminated: -2
% 11.02/2.20 % done 689 iterations in 1.466s
% 11.02/2.20 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 11.02/2.20 % SZS output start Refutation
% 11.02/2.20 thf(aSet0_type, type, aSet0: $i > $o).
% 11.02/2.20 thf(xX_type, type, xX: $i).
% 11.02/2.20 thf(slbdtsldtrb0_type, type, slbdtsldtrb0: $i > $i > $i).
% 11.02/2.20 thf(xu_type, type, xu: $i).
% 11.02/2.20 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 11.02/2.20 thf(isCountable0_type, type, isCountable0: $i > $o).
% 11.02/2.20 thf(aElement0_type, type, aElement0: $i > $o).
% 11.02/2.20 thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 11.02/2.20 thf(zip_tseitin_64_type, type, zip_tseitin_64: $i > $o).
% 11.02/2.20 thf(xY_type, type, xY: $i).
% 11.02/2.20 thf(sk__36_type, type, sk__36: $i > $i > $i).
% 11.02/2.20 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 11.02/2.20 thf(xd_type, type, xd: $i).
% 11.02/2.20 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 11.02/2.20 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 11.02/2.20 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 11.02/2.20 thf(xC_type, type, xC: $i).
% 11.02/2.20 thf(xT_type, type, xT: $i).
% 11.02/2.20 thf(xk_type, type, xk: $i).
% 11.02/2.20 thf(xN_type, type, xN: $i).
% 11.02/2.20 thf(xi_type, type, xi: $i).
% 11.02/2.20 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 11.02/2.20 thf(sk__37_type, type, sk__37: $i > $i).
% 11.02/2.20 thf(m__4545, axiom,
% 11.02/2.20 (( ![W0:$i]:
% 11.02/2.20 ( ( ( aSet0 @ W0 ) &
% 11.02/2.20 ( ( ( ( ![W1:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W1 @ W0 ) => ( aElementOf0 @ W1 @ xX ) ) ) |
% 11.02/2.20 ( aSubsetOf0 @ W0 @ xX ) ) &
% 11.02/2.20 ( ( sbrdtbr0 @ W0 ) = ( xk ) ) ) |
% 11.02/2.20 ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xX @ xk ) ) ) ) =>
% 11.02/2.20 ( ( sdtlpdtrp0 @ xd @ W0 ) = ( xu ) ) ) ) &
% 11.02/2.20 ( isCountable0 @ xX ) & ( aSubsetOf0 @ xX @ xY ) &
% 11.02/2.20 ( ![W0:$i]: ( ( aElementOf0 @ W0 @ xX ) => ( aElementOf0 @ W0 @ xY ) ) ) &
% 11.02/2.20 ( aSet0 @ xX ) & ( aElementOf0 @ xu @ xT ))).
% 11.02/2.20 thf(zip_derived_cl383, plain, ( (aElementOf0 @ xu @ xT)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl388, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 (((sdtlpdtrp0 @ xd @ X0) = (xu))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xX @ xk))
% 11.02/2.20 | ~ (aSet0 @ X0))),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(m__, conjecture,
% 11.02/2.20 (?[W0:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W0 @ xT ) &
% 11.02/2.20 ( ?[W1:$i]:
% 11.02/2.20 ( ( ( ( ![W2:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 11.02/2.20 ( sdtlseqdt0 @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W2 ) ) ) &
% 11.02/2.20 ( aElementOf0 @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) ) ) =>
% 11.02/2.20 ( ( ( ![W2:$i]:
% 11.02/2.20 ( ( aElementOf0 @
% 11.02/2.20 W2 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 11.02/2.20 ( ( ( W2 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) &
% 11.02/2.20 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) ) &
% 11.02/2.20 ( aElement0 @ W2 ) ) ) ) &
% 11.02/2.20 ( aSet0 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) =>
% 11.02/2.20 ( ( aSubsetOf0 @
% 11.02/2.20 W1 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) |
% 11.02/2.20 ( ( ![W2:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W2 @ W1 ) =>
% 11.02/2.20 ( aElementOf0 @
% 11.02/2.20 W2 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) &
% 11.02/2.20 ( aSet0 @ W1 ) ) ) ) ) &
% 11.02/2.20 ( isCountable0 @ W1 ) &
% 11.02/2.20 ( ![W2:$i]:
% 11.02/2.20 ( ( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) &
% 11.02/2.20 ( ( sbrdtbr0 @ W2 ) = ( xk ) ) & ( aSubsetOf0 @ W2 @ W1 ) &
% 11.02/2.20 ( ![W3:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W3 @ W2 ) => ( aElementOf0 @ W3 @ W1 ) ) ) &
% 11.02/2.20 ( aSet0 @ W2 ) ) =>
% 11.02/2.20 ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W2 ) = ( W0 ) ) ) ) ) ) ))).
% 11.02/2.20 thf(zf_stmt_0, type, zip_tseitin_64 : $i > $o).
% 11.02/2.20 thf(zf_stmt_1, axiom,
% 11.02/2.20 (![W2:$i]:
% 11.02/2.20 ( ( zip_tseitin_64 @ W2 ) <=>
% 11.02/2.20 ( ( aElement0 @ W2 ) &
% 11.02/2.20 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) ) &
% 11.02/2.20 ( ( W2 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ))).
% 11.02/2.20 thf(zf_stmt_2, conjecture,
% 11.02/2.20 (?[W0:$i]:
% 11.02/2.20 ( ( ?[W1:$i]:
% 11.02/2.20 ( ( ![W2:$i]:
% 11.02/2.20 ( ( ( aSet0 @ W2 ) &
% 11.02/2.20 ( ![W3:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W3 @ W2 ) => ( aElementOf0 @ W3 @ W1 ) ) ) &
% 11.02/2.20 ( aSubsetOf0 @ W2 @ W1 ) & ( ( sbrdtbr0 @ W2 ) = ( xk ) ) &
% 11.02/2.20 ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) ) =>
% 11.02/2.20 ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W2 ) = ( W0 ) ) ) ) &
% 11.02/2.20 ( isCountable0 @ W1 ) &
% 11.02/2.20 ( ( ( aElementOf0 @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) ) &
% 11.02/2.20 ( ![W2:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 11.02/2.20 ( sdtlseqdt0 @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W2 ) ) ) ) =>
% 11.02/2.20 ( ( ( aSet0 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 11.02/2.20 ( ![W2:$i]:
% 11.02/2.20 ( ( aElementOf0 @
% 11.02/2.20 W2 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 11.02/2.20 ( zip_tseitin_64 @ W2 ) ) ) ) =>
% 11.02/2.20 ( ( ( aSet0 @ W1 ) &
% 11.02/2.20 ( ![W2:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W2 @ W1 ) =>
% 11.02/2.20 ( aElementOf0 @
% 11.02/2.20 W2 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ) |
% 11.02/2.20 ( aSubsetOf0 @
% 11.02/2.20 W1 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ) ) ) &
% 11.02/2.20 ( aElementOf0 @ W0 @ xT ) ))).
% 11.02/2.20 thf(zf_stmt_3, negated_conjecture,
% 11.02/2.20 (~( ?[W0:$i]:
% 11.02/2.20 ( ( ?[W1:$i]:
% 11.02/2.20 ( ( ![W2:$i]:
% 11.02/2.20 ( ( ( aSet0 @ W2 ) &
% 11.02/2.20 ( ![W3:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W3 @ W2 ) => ( aElementOf0 @ W3 @ W1 ) ) ) &
% 11.02/2.20 ( aSubsetOf0 @ W2 @ W1 ) &
% 11.02/2.20 ( ( sbrdtbr0 @ W2 ) = ( xk ) ) &
% 11.02/2.20 ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) ) =>
% 11.02/2.20 ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W2 ) = ( W0 ) ) ) ) &
% 11.02/2.20 ( isCountable0 @ W1 ) &
% 11.02/2.20 ( ( ( aElementOf0 @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) ) &
% 11.02/2.20 ( ![W2:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 11.02/2.20 ( sdtlseqdt0 @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W2 ) ) ) ) =>
% 11.02/2.20 ( ( ( aSet0 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 11.02/2.20 ( ![W2:$i]:
% 11.02/2.20 ( ( aElementOf0 @
% 11.02/2.20 W2 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) <=>
% 11.02/2.20 ( zip_tseitin_64 @ W2 ) ) ) ) =>
% 11.02/2.20 ( ( ( aSet0 @ W1 ) &
% 11.02/2.20 ( ![W2:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W2 @ W1 ) =>
% 11.02/2.20 ( aElementOf0 @
% 11.02/2.20 W2 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ) |
% 11.02/2.20 ( aSubsetOf0 @
% 11.02/2.20 W1 @
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ) ) ) &
% 11.02/2.20 ( aElementOf0 @ W0 @ xT ) ) )),
% 11.02/2.20 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 11.02/2.20 thf(zip_derived_cl426, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aSubsetOf0 @ X0 @
% 11.02/2.20 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 11.02/2.20 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | ((sdtlpdtrp0 @ (sdtlpdtrp0 @ xC @ xi) @ (sk__36 @ X0 @ X1)) != (X1))
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 11.02/2.20 thf(m__4448_02, axiom,
% 11.02/2.20 (( ( xd ) = ( sdtlpdtrp0 @ xC @ xi ) ) &
% 11.02/2.20 ( ( xY ) =
% 11.02/2.20 ( sdtmndt0 @
% 11.02/2.20 ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) &
% 11.02/2.20 ( ![W0:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W0 @ xY ) <=>
% 11.02/2.20 ( ( aElement0 @ W0 ) &
% 11.02/2.20 ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) &
% 11.02/2.20 ( ( W0 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) &
% 11.02/2.20 ( aSet0 @ xY ) &
% 11.02/2.20 ( ![W0:$i]:
% 11.02/2.20 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 11.02/2.20 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 11.02/2.20 ( aElementOf0 @
% 11.02/2.20 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ))).
% 11.02/2.20 thf(zip_derived_cl366, plain,
% 11.02/2.20 (((xY)
% 11.02/2.20 = (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 11.02/2.20 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4448_02])).
% 11.02/2.20 thf(zip_derived_cl367, plain, (((xd) = (sdtlpdtrp0 @ xC @ xi))),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4448_02])).
% 11.02/2.20 thf(zip_derived_cl6764, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aSubsetOf0 @ X0 @ xY)
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | ((sdtlpdtrp0 @ xd @ (sk__36 @ X0 @ X1)) != (X1))
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('demod', [status(thm)],
% 11.02/2.20 [zip_derived_cl426, zip_derived_cl366, zip_derived_cl367])).
% 11.02/2.20 thf(zip_derived_cl6765, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (((xu) != (X0))
% 11.02/2.20 | ~ (aSet0 @ (sk__36 @ X1 @ X0))
% 11.02/2.20 | ~ (aElementOf0 @ (sk__36 @ X1 @ X0) @ (slbdtsldtrb0 @ xX @ xk))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (isCountable0 @ X1)
% 11.02/2.20 | ~ (aSubsetOf0 @ X1 @ xY))),
% 11.02/2.20 inference('sup-', [status(thm)], [zip_derived_cl388, zip_derived_cl6764])).
% 11.02/2.20 thf(zip_derived_cl431, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aSubsetOf0 @ X0 @
% 11.02/2.20 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 11.02/2.20 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | (aSet0 @ (sk__36 @ X0 @ X1))
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 11.02/2.20 thf(zip_derived_cl366, plain,
% 11.02/2.20 (((xY)
% 11.02/2.20 = (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 11.02/2.20 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4448_02])).
% 11.02/2.20 thf(zip_derived_cl6731, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aSubsetOf0 @ X0 @ xY)
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | (aSet0 @ (sk__36 @ X0 @ X1))
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl366])).
% 11.02/2.20 thf(zip_derived_cl6769, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aSubsetOf0 @ X1 @ xY)
% 11.02/2.20 | ~ (isCountable0 @ X1)
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (aElementOf0 @ (sk__36 @ X1 @ X0) @ (slbdtsldtrb0 @ xX @ xk))
% 11.02/2.20 | ((xu) != (X0)))),
% 11.02/2.20 inference('clc', [status(thm)], [zip_derived_cl6765, zip_derived_cl6731])).
% 11.02/2.20 thf(zip_derived_cl421, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aElementOf0 @ (sk__37 @ X0) @
% 11.02/2.20 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 11.02/2.20 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))
% 11.02/2.20 | ~ (aSet0 @ X0)
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | (aElementOf0 @ (sk__36 @ X0 @ X1) @ (slbdtsldtrb0 @ X0 @ xk))
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 11.02/2.20 thf(zip_derived_cl366, plain,
% 11.02/2.20 (((xY)
% 11.02/2.20 = (sdtmndt0 @ (sdtlpdtrp0 @ xN @ xi) @
% 11.02/2.20 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4448_02])).
% 11.02/2.20 thf(zip_derived_cl8455, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aElementOf0 @ (sk__37 @ X0) @ xY)
% 11.02/2.20 | ~ (aSet0 @ X0)
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | (aElementOf0 @ (sk__36 @ X0 @ X1) @ (slbdtsldtrb0 @ X0 @ xk))
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('demod', [status(thm)], [zip_derived_cl421, zip_derived_cl366])).
% 11.02/2.20 thf(zip_derived_cl8474, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 (((xu) != (X0))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (isCountable0 @ xX)
% 11.02/2.20 | ~ (aSubsetOf0 @ xX @ xY)
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (isCountable0 @ xX)
% 11.02/2.20 | ~ (aSet0 @ xX)
% 11.02/2.20 | ~ (aElementOf0 @ (sk__37 @ xX) @ xY))),
% 11.02/2.20 inference('sup+', [status(thm)], [zip_derived_cl6769, zip_derived_cl8455])).
% 11.02/2.20 thf(zip_derived_cl387, plain, ( (isCountable0 @ xX)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl386, plain, ( (aSubsetOf0 @ xX @ xY)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl387, plain, ( (isCountable0 @ xX)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl384, plain, ( (aSet0 @ xX)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl383, plain, ( (aElementOf0 @ xu @ xT)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl416, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 ( (aElementOf0 @ (sk__37 @ X0) @ X0)
% 11.02/2.20 | ~ (aSet0 @ X0)
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | ((sbrdtbr0 @ (sk__36 @ X0 @ X1)) = (xk))
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 11.02/2.20 thf(zip_derived_cl391, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 (((sdtlpdtrp0 @ xd @ X0) = (xu))
% 11.02/2.20 | ((sbrdtbr0 @ X0) != (xk))
% 11.02/2.20 | ~ (aSubsetOf0 @ X0 @ xX)
% 11.02/2.20 | ~ (aSet0 @ X0))),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl6764, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aSubsetOf0 @ X0 @ xY)
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | ((sdtlpdtrp0 @ xd @ (sk__36 @ X0 @ X1)) != (X1))
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('demod', [status(thm)],
% 11.02/2.20 [zip_derived_cl426, zip_derived_cl366, zip_derived_cl367])).
% 11.02/2.20 thf(zip_derived_cl6768, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (((xu) != (X0))
% 11.02/2.20 | ~ (aSet0 @ (sk__36 @ X1 @ X0))
% 11.02/2.20 | ~ (aSubsetOf0 @ (sk__36 @ X1 @ X0) @ xX)
% 11.02/2.20 | ((sbrdtbr0 @ (sk__36 @ X1 @ X0)) != (xk))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (isCountable0 @ X1)
% 11.02/2.20 | ~ (aSubsetOf0 @ X1 @ xY))),
% 11.02/2.20 inference('sup-', [status(thm)], [zip_derived_cl391, zip_derived_cl6764])).
% 11.02/2.20 thf(zip_derived_cl6731, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aSubsetOf0 @ X0 @ xY)
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | (aSet0 @ (sk__36 @ X0 @ X1))
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl366])).
% 11.02/2.20 thf(zip_derived_cl6794, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 (~ (aSubsetOf0 @ X1 @ xY)
% 11.02/2.20 | ~ (isCountable0 @ X1)
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ((sbrdtbr0 @ (sk__36 @ X1 @ X0)) != (xk))
% 11.02/2.20 | ~ (aSubsetOf0 @ (sk__36 @ X1 @ X0) @ xX)
% 11.02/2.20 | ((xu) != (X0)))),
% 11.02/2.20 inference('clc', [status(thm)], [zip_derived_cl6768, zip_derived_cl6731])).
% 11.02/2.20 thf(zip_derived_cl417, plain,
% 11.02/2.20 (![X0 : $i, X1 : $i]:
% 11.02/2.20 ( (aElementOf0 @ (sk__37 @ X0) @ X0)
% 11.02/2.20 | ~ (aSet0 @ X0)
% 11.02/2.20 | ~ (isCountable0 @ X0)
% 11.02/2.20 | (aSubsetOf0 @ (sk__36 @ X0 @ X1) @ X0)
% 11.02/2.20 | ~ (aElementOf0 @ X1 @ xT))),
% 11.02/2.20 inference('cnf', [status(esa)], [zf_stmt_3])).
% 11.02/2.20 thf(zip_derived_cl7024, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 (((xu) != (X0))
% 11.02/2.20 | ((sbrdtbr0 @ (sk__36 @ xX @ X0)) != (xk))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (isCountable0 @ xX)
% 11.02/2.20 | ~ (aSubsetOf0 @ xX @ xY)
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (isCountable0 @ xX)
% 11.02/2.20 | ~ (aSet0 @ xX)
% 11.02/2.20 | (aElementOf0 @ (sk__37 @ xX) @ xX))),
% 11.02/2.20 inference('sup+', [status(thm)], [zip_derived_cl6794, zip_derived_cl417])).
% 11.02/2.20 thf(zip_derived_cl387, plain, ( (isCountable0 @ xX)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl386, plain, ( (aSubsetOf0 @ xX @ xY)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl387, plain, ( (isCountable0 @ xX)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl384, plain, ( (aSet0 @ xX)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl7030, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 (((xu) != (X0))
% 11.02/2.20 | ((sbrdtbr0 @ (sk__36 @ xX @ X0)) != (xk))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | (aElementOf0 @ (sk__37 @ xX) @ xX))),
% 11.02/2.20 inference('demod', [status(thm)],
% 11.02/2.20 [zip_derived_cl7024, zip_derived_cl387, zip_derived_cl386,
% 11.02/2.20 zip_derived_cl387, zip_derived_cl384])).
% 11.02/2.20 thf(zip_derived_cl7031, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 ( (aElementOf0 @ (sk__37 @ xX) @ xX)
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ((sbrdtbr0 @ (sk__36 @ xX @ X0)) != (xk))
% 11.02/2.20 | ((xu) != (X0)))),
% 11.02/2.20 inference('simplify', [status(thm)], [zip_derived_cl7030])).
% 11.02/2.20 thf(zip_derived_cl7224, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 (((xk) != (xk))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (isCountable0 @ xX)
% 11.02/2.20 | ~ (aSet0 @ xX)
% 11.02/2.20 | (aElementOf0 @ (sk__37 @ xX) @ xX)
% 11.02/2.20 | ((xu) != (X0))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | (aElementOf0 @ (sk__37 @ xX) @ xX))),
% 11.02/2.20 inference('sup-', [status(thm)], [zip_derived_cl416, zip_derived_cl7031])).
% 11.02/2.20 thf(zip_derived_cl387, plain, ( (isCountable0 @ xX)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl384, plain, ( (aSet0 @ xX)),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl7229, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 (((xk) != (xk))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | (aElementOf0 @ (sk__37 @ xX) @ xX)
% 11.02/2.20 | ((xu) != (X0))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | (aElementOf0 @ (sk__37 @ xX) @ xX))),
% 11.02/2.20 inference('demod', [status(thm)],
% 11.02/2.20 [zip_derived_cl7224, zip_derived_cl387, zip_derived_cl384])).
% 11.02/2.20 thf(zip_derived_cl7230, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 (((xu) != (X0))
% 11.02/2.20 | (aElementOf0 @ (sk__37 @ xX) @ xX)
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT))),
% 11.02/2.20 inference('simplify', [status(thm)], [zip_derived_cl7229])).
% 11.02/2.20 thf(zip_derived_cl7231, plain,
% 11.02/2.20 (( (aElementOf0 @ (sk__37 @ xX) @ xX) | ((xu) != (xu)))),
% 11.02/2.20 inference('sup-', [status(thm)], [zip_derived_cl383, zip_derived_cl7230])).
% 11.02/2.20 thf(zip_derived_cl7241, plain, ( (aElementOf0 @ (sk__37 @ xX) @ xX)),
% 11.02/2.20 inference('simplify', [status(thm)], [zip_derived_cl7231])).
% 11.02/2.20 thf(zip_derived_cl385, plain,
% 11.02/2.20 (![X0 : $i]: ( (aElementOf0 @ X0 @ xY) | ~ (aElementOf0 @ X0 @ xX))),
% 11.02/2.20 inference('cnf', [status(esa)], [m__4545])).
% 11.02/2.20 thf(zip_derived_cl7266, plain, ( (aElementOf0 @ (sk__37 @ xX) @ xY)),
% 11.02/2.20 inference('sup-', [status(thm)], [zip_derived_cl7241, zip_derived_cl385])).
% 11.02/2.20 thf(zip_derived_cl8476, plain,
% 11.02/2.20 (![X0 : $i]:
% 11.02/2.20 (((xu) != (X0))
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT)
% 11.02/2.20 | ~ (aElementOf0 @ X0 @ xT))),
% 11.02/2.20 inference('demod', [status(thm)],
% 11.02/2.20 [zip_derived_cl8474, zip_derived_cl387, zip_derived_cl386,
% 11.02/2.20 zip_derived_cl387, zip_derived_cl384, zip_derived_cl7266])).
% 11.02/2.20 thf(zip_derived_cl8477, plain,
% 11.02/2.20 (![X0 : $i]: (~ (aElementOf0 @ X0 @ xT) | ((xu) != (X0)))),
% 11.02/2.20 inference('simplify', [status(thm)], [zip_derived_cl8476])).
% 11.02/2.20 thf(zip_derived_cl8493, plain, (((xu) != (xu))),
% 11.02/2.20 inference('sup-', [status(thm)], [zip_derived_cl383, zip_derived_cl8477])).
% 11.02/2.20 thf(zip_derived_cl8504, plain, ($false),
% 11.02/2.20 inference('simplify', [status(thm)], [zip_derived_cl8493])).
% 11.02/2.20
% 11.02/2.20 % SZS output end Refutation
% 11.02/2.20
% 11.02/2.20
% 11.02/2.20 % Terminating...
% 11.74/2.31 % Runner terminated.
% 11.74/2.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------