%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM588+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.YCaJkIGH9Y true
% Computer : n001.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 0.56s 1.03s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM588+3 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YCaJkIGH9Y true
% 0.12/0.33 % Computer : n001.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 16:26:38 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
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.03 % Solved by fo/fo13.sh.
% 0.56/1.03 % done 333 iterations in 0.272s
% 0.56/1.03 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.03 % SZS output start Refutation
% 0.56/1.03 thf(zip_tseitin_50_type, type, zip_tseitin_50: $i > $i > $o).
% 0.56/1.03 thf(aSet0_type, type, aSet0: $i > $o).
% 0.56/1.03 thf(slbdtsldtrb0_type, type, slbdtsldtrb0: $i > $i > $i).
% 0.56/1.03 thf(sk__37_type, type, sk__37: $i).
% 0.56/1.03 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 0.56/1.03 thf(isCountable0_type, type, isCountable0: $i > $o).
% 0.56/1.03 thf(sk__36_type, type, sk__36: $i).
% 0.56/1.03 thf(aElement0_type, type, aElement0: $i > $o).
% 0.56/1.03 thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 0.56/1.03 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 0.56/1.03 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 0.56/1.03 thf(sk__34_type, type, sk__34: $i).
% 0.56/1.03 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 0.56/1.03 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 0.56/1.03 thf(zip_tseitin_51_type, type, zip_tseitin_51: $i > $i > $o).
% 0.56/1.03 thf(xk_type, type, xk: $i).
% 0.56/1.03 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 0.56/1.03 thf(xN_type, type, xN: $i).
% 0.56/1.03 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 0.56/1.03 thf(sk__35_type, type, sk__35: $i).
% 0.56/1.03 thf(m__, conjecture,
% 0.56/1.03 (![W0:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 0.56/1.03 ( ![W1:$i]:
% 0.56/1.03 ( ( ( isCountable0 @ W1 ) &
% 0.56/1.03 ( aSubsetOf0 @
% 0.56/1.03 W1 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W2 @ W1 ) =>
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 0.56/1.03 ( aSet0 @ W1 ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 0.56/1.03 ( ( ( W2 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 0.56/1.03 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/1.03 ( aElement0 @ W2 ) ) ) ) &
% 0.56/1.03 ( aSet0 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/1.03 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) &
% 0.56/1.03 ( ( sbrdtbr0 @ W2 ) = ( xk ) ) & ( aSubsetOf0 @ W2 @ W1 ) &
% 0.56/1.03 ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W3 @ W2 ) => ( aElementOf0 @ W3 @ W1 ) ) ) &
% 0.56/1.03 ( aSet0 @ W2 ) ) =>
% 0.56/1.03 ( ( ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/1.03 ( sdtlseqdt0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W3 ) ) ) &
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 0.56/1.03 ( ( ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @
% 0.56/1.03 W3 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 0.56/1.03 ( ( ( W3 ) !=
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 0.56/1.03 ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/1.03 ( aElement0 @ W3 ) ) ) ) &
% 0.56/1.03 ( aSet0 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 0.56/1.03 ( ( aElementOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( slbdtsldtrb0 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 0.56/1.03 xk ) ) |
% 0.56/1.03 ( aSubsetOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) |
% 0.56/1.03 ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W3 @ W2 ) =>
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 W3 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.56/1.03 thf(zf_stmt_0, type, zip_tseitin_51 : $i > $i > $o).
% 0.56/1.03 thf(zf_stmt_1, axiom,
% 0.56/1.03 (![W3:$i,W0:$i]:
% 0.56/1.03 ( ( zip_tseitin_51 @ W3 @ W0 ) <=>
% 0.56/1.03 ( ( aElement0 @ W3 ) &
% 0.56/1.03 ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/1.03 ( ( W3 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 0.56/1.03 thf(zf_stmt_2, type, zip_tseitin_50 : $i > $i > $o).
% 0.56/1.03 thf(zf_stmt_3, axiom,
% 0.56/1.03 (![W2:$i,W0:$i]:
% 0.56/1.03 ( ( zip_tseitin_50 @ W2 @ W0 ) <=>
% 0.56/1.03 ( ( aElement0 @ W2 ) &
% 0.56/1.03 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/1.03 ( ( W2 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 0.56/1.03 thf(zf_stmt_4, conjecture,
% 0.56/1.03 (![W0:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 0.56/1.03 ( ![W1:$i]:
% 0.56/1.03 ( ( ( aElementOf0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/1.03 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 0.56/1.03 ( aSet0 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 0.56/1.03 ( zip_tseitin_50 @ W2 @ W0 ) ) ) &
% 0.56/1.03 ( aSet0 @ W1 ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W2 @ W1 ) =>
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 0.56/1.03 ( aSubsetOf0 @
% 0.56/1.03 W1 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/1.03 ( isCountable0 @ W1 ) ) =>
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( ( aSet0 @ W2 ) &
% 0.56/1.03 ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W3 @ W2 ) => ( aElementOf0 @ W3 @ W1 ) ) ) &
% 0.56/1.03 ( aSubsetOf0 @ W2 @ W1 ) & ( ( sbrdtbr0 @ W2 ) = ( xk ) ) &
% 0.56/1.03 ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) ) =>
% 0.56/1.03 ( ( ( aElementOf0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/1.03 ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/1.03 ( sdtlseqdt0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W3 ) ) ) ) =>
% 0.56/1.03 ( ( ( aSet0 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/1.03 ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @
% 0.56/1.03 W3 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 0.56/1.03 ( zip_tseitin_51 @ W3 @ W0 ) ) ) ) =>
% 0.56/1.03 ( ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W3 @ W2 ) =>
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 W3 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) |
% 0.56/1.03 ( aSubsetOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) |
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( slbdtsldtrb0 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 0.56/1.03 xk ) ) ) ) ) ) ) ) ) ))).
% 0.56/1.03 thf(zf_stmt_5, negated_conjecture,
% 0.56/1.03 (~( ![W0:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 0.56/1.03 ( ![W1:$i]:
% 0.56/1.03 ( ( ( aElementOf0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/1.03 ( sdtlseqdt0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 0.56/1.03 ( aSet0 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 0.56/1.03 ( zip_tseitin_50 @ W2 @ W0 ) ) ) &
% 0.56/1.03 ( aSet0 @ W1 ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W2 @ W1 ) =>
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 0.56/1.03 ( aSubsetOf0 @
% 0.56/1.03 W1 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/1.03 ( isCountable0 @ W1 ) ) =>
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( ( aSet0 @ W2 ) &
% 0.56/1.03 ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W3 @ W2 ) => ( aElementOf0 @ W3 @ W1 ) ) ) &
% 0.56/1.03 ( aSubsetOf0 @ W2 @ W1 ) &
% 0.56/1.03 ( ( sbrdtbr0 @ W2 ) = ( xk ) ) &
% 0.56/1.03 ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) ) =>
% 0.56/1.03 ( ( ( aElementOf0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/1.03 ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W3 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/1.03 ( sdtlseqdt0 @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W3 ) ) ) ) =>
% 0.56/1.03 ( ( ( aSet0 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/1.03 ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @
% 0.56/1.03 W3 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 0.56/1.03 ( zip_tseitin_51 @ W3 @ W0 ) ) ) ) =>
% 0.56/1.03 ( ( ![W3:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W3 @ W2 ) =>
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 W3 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) |
% 0.56/1.03 ( aSubsetOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) |
% 0.56/1.03 ( aElementOf0 @
% 0.56/1.03 W2 @
% 0.56/1.03 ( slbdtsldtrb0 @
% 0.56/1.03 ( sdtmndt0 @
% 0.56/1.03 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/1.03 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) @
% 0.56/1.03 xk ) ) ) ) ) ) ) ) ) ) )),
% 0.56/1.03 inference('cnf.neg', [status(esa)], [zf_stmt_4])).
% 0.56/1.03 thf(zip_derived_cl358, plain, ( (aElementOf0 @ sk__37 @ sk__36)),
% 0.56/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/1.03 thf(zip_derived_cl353, plain,
% 0.56/1.03 (![X3 : $i]:
% 0.56/1.03 ( (aElementOf0 @ X3 @ sk__35) | ~ (aElementOf0 @ X3 @ sk__36))),
% 0.56/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/1.03 thf(zip_derived_cl661, plain, ( (aElementOf0 @ sk__37 @ sk__35)),
% 0.56/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl358, zip_derived_cl353])).
% 0.56/1.03 thf(zip_derived_cl357, plain,
% 0.56/1.03 (~ (aElementOf0 @ sk__37 @
% 0.56/1.03 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__34) @
% 0.56/1.03 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__34))))),
% 0.56/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/1.03 thf(mDefSub, axiom,
% 0.56/1.03 (![W0:$i]:
% 0.56/1.03 ( ( aSet0 @ W0 ) =>
% 0.56/1.03 ( ![W1:$i]:
% 0.56/1.03 ( ( aSubsetOf0 @ W1 @ W0 ) <=>
% 0.56/1.03 ( ( aSet0 @ W1 ) &
% 0.56/1.03 ( ![W2:$i]:
% 0.56/1.03 ( ( aElementOf0 @ W2 @ W1 ) => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ) ))).
% 0.56/1.03 thf(zip_derived_cl13, plain,
% 0.56/1.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/1.03 (~ (aSubsetOf0 @ X0 @ X1)
% 0.56/1.03 | (aElementOf0 @ X2 @ X1)
% 0.56/1.03 | ~ (aElementOf0 @ X2 @ X0)
% 0.56/1.03 | ~ (aSet0 @ X1))),
% 0.56/1.03 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/1.03 thf(zip_derived_cl538, plain,
% 0.56/1.03 (![X0 : $i]:
% 0.56/1.03 (~ (aSubsetOf0 @ X0 @
% 0.56/1.03 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__34) @
% 0.56/1.03 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__34))))
% 0.56/1.03 | ~ (aElementOf0 @ sk__37 @ X0)
% 0.56/1.03 | ~ (aSet0 @
% 0.56/1.03 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__34) @
% 0.56/1.03 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__34)))))),
% 0.56/1.03 inference('s_sup+', [status(thm)], [zip_derived_cl357, zip_derived_cl13])).
% 0.56/1.03 thf(zip_derived_cl349, plain,
% 0.56/1.03 ( (aSet0 @
% 0.56/1.03 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__34) @
% 0.56/1.03 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__34))))),
% 0.56/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/1.03 thf(zip_derived_cl540, plain,
% 0.56/1.03 (![X0 : $i]:
% 0.56/1.03 (~ (aSubsetOf0 @ X0 @
% 0.56/1.03 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__34) @
% 0.56/1.03 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__34))))
% 0.56/1.03 | ~ (aElementOf0 @ sk__37 @ X0))),
% 0.56/1.03 inference('demod', [status(thm)], [zip_derived_cl538, zip_derived_cl349])).
% 0.56/1.03 thf(zip_derived_cl1032, plain,
% 0.56/1.03 (~ (aSubsetOf0 @ sk__35 @
% 0.56/1.03 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__34) @
% 0.56/1.03 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__34))))),
% 0.56/1.03 inference('s_sup-', [status(thm)], [zip_derived_cl661, zip_derived_cl540])).
% 0.56/1.03 thf(zip_derived_cl367, plain,
% 0.56/1.03 ( (aSubsetOf0 @ sk__35 @
% 0.56/1.03 (sdtmndt0 @ (sdtlpdtrp0 @ xN @ sk__34) @
% 0.56/1.03 (szmzizndt0 @ (sdtlpdtrp0 @ xN @ sk__34))))),
% 0.56/1.03 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/1.03 thf(zip_derived_cl1034, plain, ($false),
% 0.56/1.03 inference('demod', [status(thm)], [zip_derived_cl1032, zip_derived_cl367])).
% 0.56/1.03
% 0.56/1.03 % SZS output end Refutation
% 0.56/1.03
% 0.56/1.03
% 0.56/1.03 % Terminating...
% 0.57/1.14 % Runner terminated.
% 0.57/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------