%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM578+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.dCvRrY5UKj true
% Computer : n009.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 0.56s 0.79s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM578+3 : TPTP v9.2.0. Released v4.0.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dCvRrY5UKj true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:29:53 EDT 2025
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % Running portfolio for 300 s
% 0.21/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.35 % 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
% 0.55/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.79 % Solved by fo/fo1_av.sh.
% 0.56/0.79 % done 118 iterations in 0.060s
% 0.56/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.79 % SZS output start Refutation
% 0.56/0.79 thf(aSet0_type, type, aSet0: $i > $o).
% 0.56/0.79 thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 0.56/0.79 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 0.56/0.79 thf(aElement0_type, type, aElement0: $i > $o).
% 0.56/0.79 thf(xi_type, type, xi: $i).
% 0.56/0.79 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 0.56/0.79 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 0.56/0.79 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 0.56/0.79 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 0.56/0.79 thf(xj_type, type, xj: $i).
% 0.56/0.79 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 0.56/0.79 thf(xN_type, type, xN: $i).
% 0.56/0.79 thf(zip_tseitin_24_type, type, zip_tseitin_24: $i > $i > $o).
% 0.56/0.79 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 0.56/0.79 thf(m__3856_02, axiom,
% 0.56/0.79 (( ( xi ) != ( xj ) ) =>
% 0.56/0.79 ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ xj ) @ xi ) |
% 0.56/0.79 ( sdtlseqdt0 @ ( szszuzczcdt0 @ xi ) @ xj ) ))).
% 0.56/0.79 thf(zip_derived_cl241, plain,
% 0.56/0.79 (( (sdtlseqdt0 @ (szszuzczcdt0 @ xi) @ xj)
% 0.56/0.79 | (sdtlseqdt0 @ (szszuzczcdt0 @ xj) @ xi)
% 0.56/0.79 | ((xi) = (xj)))),
% 0.56/0.79 inference('cnf', [status(esa)], [m__3856_02])).
% 0.56/0.79 thf(zip_derived_cl265, plain,
% 0.56/0.79 (( (sdtlseqdt0 @ (szszuzczcdt0 @ xi) @ xj))
% 0.56/0.79 <= (( (sdtlseqdt0 @ (szszuzczcdt0 @ xi) @ xj)))),
% 0.56/0.79 inference('split', [status(esa)], [zip_derived_cl241])).
% 0.56/0.79 thf(m__, conjecture,
% 0.56/0.79 (( ![W0:$i,W1:$i]:
% 0.56/0.79 ( ( ( aElementOf0 @ W1 @ szNzAzT0 ) & ( aElementOf0 @ W0 @ szNzAzT0 ) ) =>
% 0.56/0.79 ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ W1 ) =>
% 0.56/0.79 ( ( ~( ( ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) ) &
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W1 ) ) ) =>
% 0.56/0.79 ( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) |
% 0.56/0.79 ( ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) ) &
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 0.56/0.79 ( aSubsetOf0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W1 ) @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =>
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 W2 @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @
% 0.56/0.79 W2 @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 0.56/0.79 ( ( ( W2 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 0.56/0.79 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/0.79 ( aElement0 @ W2 ) ) ) ) &
% 0.56/0.79 ( aSet0 @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) =>
% 0.56/0.79 ( ( ( xi ) != ( xj ) ) =>
% 0.56/0.79 ( ~( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) &
% 0.56/0.79 ( ![W0:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ xj ) ) &
% 0.56/0.79 ( ![W0:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ))).
% 0.56/0.79 thf(zf_stmt_0, type, zip_tseitin_24 : $i > $i > $o).
% 0.56/0.79 thf(zf_stmt_1, axiom,
% 0.56/0.79 (![W2:$i,W0:$i]:
% 0.56/0.79 ( ( zip_tseitin_24 @ W2 @ W0 ) <=>
% 0.56/0.79 ( ( aElement0 @ W2 ) &
% 0.56/0.79 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/0.79 ( ( W2 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 0.56/0.79 thf(zf_stmt_2, conjecture,
% 0.56/0.79 (( ![W0:$i,W1:$i]:
% 0.56/0.79 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 0.56/0.79 ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ W1 ) =>
% 0.56/0.79 ( ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 0.56/0.79 ( aSet0 @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @
% 0.56/0.79 W2 @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 0.56/0.79 ( zip_tseitin_24 @ W2 @ W0 ) ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =>
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 W2 @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 0.56/0.79 ( aSubsetOf0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W1 ) @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/0.79 ( ~( ( ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W1 ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) ) ) =>
% 0.56/0.79 ( ( ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) ) ) |
% 0.56/0.79 ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) ) ) ) =>
% 0.56/0.79 ( ( ( xi ) != ( xj ) ) =>
% 0.56/0.79 ( ~( ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ xi ) ) &
% 0.56/0.79 ( ![W0:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ xj ) ) &
% 0.56/0.79 ( ![W0:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 0.56/0.79 ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) ) ))).
% 0.56/0.79 thf(zf_stmt_3, negated_conjecture,
% 0.56/0.79 (~( ( ![W0:$i,W1:$i]:
% 0.56/0.79 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 0.56/0.79 ( ( sdtlseqdt0 @ ( szszuzczcdt0 @ W0 ) @ W1 ) =>
% 0.56/0.79 ( ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W2 ) ) ) &
% 0.56/0.79 ( aSet0 @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @
% 0.56/0.79 W2 @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 0.56/0.79 ( zip_tseitin_24 @ W2 @ W0 ) ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =>
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 W2 @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 0.56/0.79 ( aSubsetOf0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W1 ) @
% 0.56/0.79 ( sdtmndt0 @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 0.56/0.79 ( ~( ( ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W1 ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) ) ) =>
% 0.56/0.79 ( ( ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 0.56/0.79 ( ![W2:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) @ W2 ) ) ) ) |
% 0.56/0.79 ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W1 ) ) =
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) ) ) ) ) =>
% 0.56/0.79 ( ( ( xi ) != ( xj ) ) =>
% 0.56/0.79 ( ~( ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ xi ) ) &
% 0.56/0.79 ( ![W0:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 0.56/0.79 ( aElementOf0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @
% 0.56/0.79 ( sdtlpdtrp0 @ xN @ xj ) ) &
% 0.56/0.79 ( ![W0:$i]:
% 0.56/0.79 ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xj ) ) =>
% 0.56/0.79 ( sdtlseqdt0 @
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) ) ) &
% 0.56/0.79 ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) =
% 0.56/0.79 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xj ) ) ) ) ) ) )),
% 0.56/0.79 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 0.56/0.79 thf(zip_derived_cl257, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 0.56/0.79 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 0.56/0.79 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ X1))
% 0.56/0.79 != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))
% 0.56/0.79 | ~ (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ X1))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl384, plain,
% 0.56/0.79 (((~ (aElementOf0 @ xi @ szNzAzT0)
% 0.56/0.79 | ~ (aElementOf0 @ xj @ szNzAzT0)
% 0.56/0.79 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xj))
% 0.56/0.79 != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi)))))
% 0.56/0.79 <= (( (sdtlseqdt0 @ (szszuzczcdt0 @ xi) @ xj)))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl265, zip_derived_cl257])).
% 0.56/0.79 thf(m__3856, axiom,
% 0.56/0.79 (( aElementOf0 @ xj @ szNzAzT0 ) & ( aElementOf0 @ xi @ szNzAzT0 ))).
% 0.56/0.79 thf(zip_derived_cl240, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 0.56/0.79 inference('cnf', [status(esa)], [m__3856])).
% 0.56/0.79 thf(zip_derived_cl239, plain, ( (aElementOf0 @ xj @ szNzAzT0)),
% 0.56/0.79 inference('cnf', [status(esa)], [m__3856])).
% 0.56/0.79 thf(zip_derived_cl258, plain,
% 0.56/0.79 (((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))
% 0.56/0.79 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xj)))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl388, plain,
% 0.56/0.79 ((((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))
% 0.56/0.79 != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))
% 0.56/0.79 <= (( (sdtlseqdt0 @ (szszuzczcdt0 @ xi) @ xj)))),
% 0.56/0.79 inference('demod', [status(thm)],
% 0.56/0.79 [zip_derived_cl384, zip_derived_cl240, zip_derived_cl239,
% 0.56/0.79 zip_derived_cl258])).
% 0.56/0.79 thf(zip_derived_cl389, plain,
% 0.56/0.79 (($false) <= (( (sdtlseqdt0 @ (szszuzczcdt0 @ xi) @ xj)))),
% 0.56/0.79 inference('simplify', [status(thm)], [zip_derived_cl388])).
% 0.56/0.79 thf(zip_derived_cl266, plain, ((((xi) = (xj))) <= ((((xi) = (xj))))),
% 0.56/0.79 inference('split', [status(esa)], [zip_derived_cl241])).
% 0.56/0.79 thf(zip_derived_cl263, plain, (((xi) != (xj))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl269, plain, ((((xi) != (xi))) <= ((((xi) = (xj))))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl266, zip_derived_cl263])).
% 0.56/0.79 thf('0', plain, (~ (((xi) = (xj)))),
% 0.56/0.79 inference('simplify', [status(thm)], [zip_derived_cl269])).
% 0.56/0.79 thf(zip_derived_cl264, plain,
% 0.56/0.79 (( (sdtlseqdt0 @ (szszuzczcdt0 @ xj) @ xi))
% 0.56/0.79 <= (( (sdtlseqdt0 @ (szszuzczcdt0 @ xj) @ xi)))),
% 0.56/0.79 inference('split', [status(esa)], [zip_derived_cl241])).
% 0.56/0.79 thf(zip_derived_cl257, plain,
% 0.56/0.79 (![X0 : $i, X1 : $i]:
% 0.56/0.79 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 0.56/0.79 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 0.56/0.79 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ X1))
% 0.56/0.79 != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ X0)))
% 0.56/0.79 | ~ (sdtlseqdt0 @ (szszuzczcdt0 @ X0) @ X1))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl383, plain,
% 0.56/0.79 (((~ (aElementOf0 @ xj @ szNzAzT0)
% 0.56/0.79 | ~ (aElementOf0 @ xi @ szNzAzT0)
% 0.56/0.79 | ((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))
% 0.56/0.79 != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xj)))))
% 0.56/0.79 <= (( (sdtlseqdt0 @ (szszuzczcdt0 @ xj) @ xi)))),
% 0.56/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl264, zip_derived_cl257])).
% 0.56/0.79 thf(zip_derived_cl239, plain, ( (aElementOf0 @ xj @ szNzAzT0)),
% 0.56/0.79 inference('cnf', [status(esa)], [m__3856])).
% 0.56/0.79 thf(zip_derived_cl240, plain, ( (aElementOf0 @ xi @ szNzAzT0)),
% 0.56/0.79 inference('cnf', [status(esa)], [m__3856])).
% 0.56/0.79 thf(zip_derived_cl258, plain,
% 0.56/0.79 (((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))
% 0.56/0.79 = (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xj)))),
% 0.56/0.79 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.79 thf(zip_derived_cl386, plain,
% 0.56/0.79 ((((szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))
% 0.56/0.79 != (szmzizndt0 @ (sdtlpdtrp0 @ xN @ xi))))
% 0.56/0.79 <= (( (sdtlseqdt0 @ (szszuzczcdt0 @ xj) @ xi)))),
% 0.56/0.79 inference('demod', [status(thm)],
% 0.56/0.79 [zip_derived_cl383, zip_derived_cl239, zip_derived_cl240,
% 0.56/0.79 zip_derived_cl258])).
% 0.56/0.79 thf('1', plain, (~ ( (sdtlseqdt0 @ (szszuzczcdt0 @ xj) @ xi))),
% 0.56/0.79 inference('simplify', [status(thm)], [zip_derived_cl386])).
% 0.56/0.79 thf('2', plain,
% 0.56/0.79 (( (sdtlseqdt0 @ (szszuzczcdt0 @ xi) @ xj)) |
% 0.56/0.79 ( (sdtlseqdt0 @ (szszuzczcdt0 @ xj) @ xi)) | (((xi) = (xj)))),
% 0.56/0.79 inference('split', [status(esa)], [zip_derived_cl241])).
% 0.56/0.79 thf('3', plain, (( (sdtlseqdt0 @ (szszuzczcdt0 @ xi) @ xj))),
% 0.56/0.79 inference('sat_resolution*', [status(thm)], ['0', '1', '2'])).
% 0.56/0.79 thf(zip_derived_cl391, plain, ($false),
% 0.56/0.79 inference('simpl_trail', [status(thm)], [zip_derived_cl389, '3'])).
% 0.56/0.79
% 0.56/0.79 % SZS output end Refutation
% 0.56/0.79
% 0.56/0.79
% 0.56/0.79 % Terminating...
% 0.56/0.84 % Runner terminated.
% 1.55/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------