%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG092+2 : 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.YFF9MIHbTx true
% Computer : n024.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 04:50:30 PM UTC 2025
% Result : Theorem 1.08s 2.81s
% Output : Refutation 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.92 % Problem : RNG092+2 : TPTP v9.2.0. Released v4.0.0.
% 0.10/1.02 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YFF9MIHbTx true
% 0.12/1.45 % Computer : n024.cluster.edu
% 0.12/1.45 % Model : x86_64 x86_64
% 0.12/1.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.45 % Memory : 8042.1875MB
% 0.12/1.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/1.45 % CPULimit : 300
% 0.12/1.45 % WCLimit : 300
% 0.12/1.45 % DateTime : Wed Oct 1 17:20:39 EDT 2025
% 0.12/1.46 % CPUTime :
% 0.12/1.46 % Running portfolio for 300 s
% 0.12/1.46 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/1.47 % Number of cores: 8
% 0.12/1.49 % Python version: Python 3.6.8
% 0.15/1.50 % Running in FO mode
% 0.35/2.03 % Total configuration time : 435
% 0.35/2.03 % Estimated wc time : 1092
% 0.35/2.03 % Estimated cpu time (7 cpus) : 156.0
% 0.36/2.21 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.89/2.30 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/2.35 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.93/2.39 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.93/2.39 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.93/2.40 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.93/2.41 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.08/2.81 % Solved by fo/fo1_av.sh.
% 1.08/2.81 % done 253 iterations in 0.320s
% 1.08/2.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.08/2.81 % SZS output start Refutation
% 1.08/2.81 thf(sdtasdt0_type, type, sdtasdt0: $i > $i > $i).
% 1.08/2.81 thf(aElement0_type, type, aElement0: $i > $o).
% 1.08/2.81 thf(sk__14_type, type, sk__14: $i).
% 1.08/2.81 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 1.08/2.81 thf(sdtpldt1_type, type, sdtpldt1: $i > $i > $i).
% 1.08/2.81 thf(xJ_type, type, xJ: $i).
% 1.08/2.81 thf(xI_type, type, xI: $i).
% 1.08/2.81 thf(sk__15_type, type, sk__15: $i).
% 1.08/2.81 thf(sz00_type, type, sz00: $i).
% 1.08/2.81 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 1.08/2.81 thf(aIdeal0_type, type, aIdeal0: $i > $o).
% 1.08/2.81 thf(sk__13_type, type, sk__13: $i).
% 1.08/2.81 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 1.08/2.81 thf(aSet0_type, type, aSet0: $i > $o).
% 1.08/2.81 thf(m__, conjecture,
% 1.08/2.81 (( ![W0:$i,W1:$i,W2:$i]:
% 1.08/2.81 ( ( ( aElement0 @ W2 ) &
% 1.08/2.81 ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) |
% 1.08/2.81 ( ?[W3:$i,W4:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W3 @ xI ) & ( aElementOf0 @ W4 @ xJ ) &
% 1.08/2.81 ( ( sdtpldt0 @ W3 @ W4 ) = ( W1 ) ) ) ) ) &
% 1.08/2.81 ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) |
% 1.08/2.81 ( ?[W3:$i,W4:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W3 @ xI ) & ( aElementOf0 @ W4 @ xJ ) &
% 1.08/2.81 ( ( sdtpldt0 @ W3 @ W4 ) = ( W0 ) ) ) ) ) ) =>
% 1.08/2.81 ( ?[W3:$i,W4:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W3 @ xI ) & ( aElementOf0 @ W4 @ xJ ) &
% 1.08/2.81 ( ( W0 ) = ( sdtpldt0 @ W3 @ W4 ) ) &
% 1.08/2.81 ( ?[W5:$i,W6:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W5 @ xI ) & ( aElementOf0 @ W6 @ xJ ) &
% 1.08/2.81 ( ( W1 ) = ( sdtpldt0 @ W5 @ W6 ) ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtpldt0 @ W3 @ W5 ) @ xI ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtpldt0 @ W4 @ W6 ) @ xJ ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtasdt0 @ W2 @ W3 ) @ xI ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtasdt0 @ W2 @ W4 ) @ xJ ) &
% 1.08/2.81 ( ( sdtpldt0 @ W0 @ W1 ) =
% 1.08/2.81 ( sdtpldt0 @ ( sdtpldt0 @ W3 @ W5 ) @ ( sdtpldt0 @ W4 @ W6 ) ) ) &
% 1.08/2.81 ( ?[W7:$i,W8:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W7 @ xI ) & ( aElementOf0 @ W8 @ xJ ) &
% 1.08/2.81 ( ( sdtpldt0 @ W7 @ W8 ) = ( sdtpldt0 @ W0 @ W1 ) ) ) ) &
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) &
% 1.08/2.81 ( ?[W7:$i,W8:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W7 @ xI ) & ( aElementOf0 @ W8 @ xJ ) &
% 1.08/2.81 ( ( sdtpldt0 @ W7 @ W8 ) = ( sdtasdt0 @ W2 @ W0 ) ) ) ) &
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) ) ) =>
% 1.08/2.81 ( ( ( ![W0:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) <=>
% 1.08/2.81 ( ?[W1:$i,W2:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W1 @ xI ) & ( aElementOf0 @ W2 @ xJ ) &
% 1.08/2.81 ( ( sdtpldt0 @ W1 @ W2 ) = ( W0 ) ) ) ) ) ) &
% 1.08/2.81 ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) ) ) =>
% 1.08/2.81 ( ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) |
% 1.08/2.81 ( ![W0:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) =>
% 1.08/2.81 ( ( ![W1:$i]:
% 1.08/2.81 ( ( aElement0 @ W1 ) =>
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) &
% 1.08/2.81 ( ![W1:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) =>
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) ) ) ))).
% 1.08/2.81 thf(zf_stmt_0, type, zip_tseitin_3 : $i > $i > $i > $o).
% 1.08/2.81 thf(zf_stmt_1, axiom,
% 1.08/2.81 (![W2:$i,W1:$i,W0:$i]:
% 1.08/2.81 ( ( zip_tseitin_3 @ W2 @ W1 @ W0 ) <=>
% 1.08/2.81 ( ( ( sdtpldt0 @ W1 @ W2 ) = ( W0 ) ) & ( aElementOf0 @ W2 @ xJ ) &
% 1.08/2.81 ( aElementOf0 @ W1 @ xI ) ) ))).
% 1.08/2.81 thf(zf_stmt_2, conjecture,
% 1.08/2.81 (( ![W0:$i,W1:$i,W2:$i]:
% 1.08/2.81 ( ( ( ( ?[W3:$i,W4:$i]:
% 1.08/2.81 ( ( ( sdtpldt0 @ W3 @ W4 ) = ( W0 ) ) &
% 1.08/2.81 ( aElementOf0 @ W4 @ xJ ) & ( aElementOf0 @ W3 @ xI ) ) ) |
% 1.08/2.81 ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) ) &
% 1.08/2.81 ( ( ?[W3:$i,W4:$i]:
% 1.08/2.81 ( ( ( sdtpldt0 @ W3 @ W4 ) = ( W1 ) ) &
% 1.08/2.81 ( aElementOf0 @ W4 @ xJ ) & ( aElementOf0 @ W3 @ xI ) ) ) |
% 1.08/2.81 ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) ) &
% 1.08/2.81 ( aElement0 @ W2 ) ) =>
% 1.08/2.81 ( ?[W3:$i,W4:$i]:
% 1.08/2.81 ( ( ?[W5:$i,W6:$i]:
% 1.08/2.81 ( ( aElementOf0 @
% 1.08/2.81 ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) &
% 1.08/2.81 ( ?[W7:$i,W8:$i]:
% 1.08/2.81 ( ( ( sdtpldt0 @ W7 @ W8 ) = ( sdtasdt0 @ W2 @ W0 ) ) &
% 1.08/2.81 ( aElementOf0 @ W8 @ xJ ) & ( aElementOf0 @ W7 @ xI ) ) ) &
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) &
% 1.08/2.81 ( ?[W7:$i,W8:$i]:
% 1.08/2.81 ( ( ( sdtpldt0 @ W7 @ W8 ) = ( sdtpldt0 @ W0 @ W1 ) ) &
% 1.08/2.81 ( aElementOf0 @ W8 @ xJ ) & ( aElementOf0 @ W7 @ xI ) ) ) &
% 1.08/2.81 ( ( sdtpldt0 @ W0 @ W1 ) =
% 1.08/2.81 ( sdtpldt0 @ ( sdtpldt0 @ W3 @ W5 ) @ ( sdtpldt0 @ W4 @ W6 ) ) ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtasdt0 @ W2 @ W4 ) @ xJ ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtasdt0 @ W2 @ W3 ) @ xI ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtpldt0 @ W4 @ W6 ) @ xJ ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtpldt0 @ W3 @ W5 ) @ xI ) &
% 1.08/2.81 ( ( W1 ) = ( sdtpldt0 @ W5 @ W6 ) ) &
% 1.08/2.81 ( aElementOf0 @ W6 @ xJ ) & ( aElementOf0 @ W5 @ xI ) ) ) &
% 1.08/2.81 ( ( W0 ) = ( sdtpldt0 @ W3 @ W4 ) ) & ( aElementOf0 @ W4 @ xJ ) &
% 1.08/2.81 ( aElementOf0 @ W3 @ xI ) ) ) ) ) =>
% 1.08/2.81 ( ( ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) ) &
% 1.08/2.81 ( ![W0:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) <=>
% 1.08/2.81 ( ?[W1:$i,W2:$i]: ( zip_tseitin_3 @ W2 @ W1 @ W0 ) ) ) ) ) =>
% 1.08/2.81 ( ( ![W0:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) =>
% 1.08/2.81 ( ( ![W1:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) =>
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) &
% 1.08/2.81 ( ![W1:$i]:
% 1.08/2.81 ( ( aElement0 @ W1 ) =>
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) ) |
% 1.08/2.81 ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) ) ))).
% 1.08/2.81 thf(zf_stmt_3, negated_conjecture,
% 1.08/2.81 (~( ( ![W0:$i,W1:$i,W2:$i]:
% 1.08/2.81 ( ( ( ( ?[W3:$i,W4:$i]:
% 1.08/2.81 ( ( ( sdtpldt0 @ W3 @ W4 ) = ( W0 ) ) &
% 1.08/2.81 ( aElementOf0 @ W4 @ xJ ) & ( aElementOf0 @ W3 @ xI ) ) ) |
% 1.08/2.81 ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) ) &
% 1.08/2.81 ( ( ?[W3:$i,W4:$i]:
% 1.08/2.81 ( ( ( sdtpldt0 @ W3 @ W4 ) = ( W1 ) ) &
% 1.08/2.81 ( aElementOf0 @ W4 @ xJ ) & ( aElementOf0 @ W3 @ xI ) ) ) |
% 1.08/2.81 ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) ) &
% 1.08/2.81 ( aElement0 @ W2 ) ) =>
% 1.08/2.81 ( ?[W3:$i,W4:$i]:
% 1.08/2.81 ( ( ?[W5:$i,W6:$i]:
% 1.08/2.81 ( ( aElementOf0 @
% 1.08/2.81 ( sdtasdt0 @ W2 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) &
% 1.08/2.81 ( ?[W7:$i,W8:$i]:
% 1.08/2.81 ( ( ( sdtpldt0 @ W7 @ W8 ) = ( sdtasdt0 @ W2 @ W0 ) ) &
% 1.08/2.81 ( aElementOf0 @ W8 @ xJ ) & ( aElementOf0 @ W7 @ xI ) ) ) &
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) &
% 1.08/2.81 ( ?[W7:$i,W8:$i]:
% 1.08/2.81 ( ( ( sdtpldt0 @ W7 @ W8 ) = ( sdtpldt0 @ W0 @ W1 ) ) &
% 1.08/2.81 ( aElementOf0 @ W8 @ xJ ) & ( aElementOf0 @ W7 @ xI ) ) ) &
% 1.08/2.81 ( ( sdtpldt0 @ W0 @ W1 ) =
% 1.08/2.81 ( sdtpldt0 @
% 1.08/2.81 ( sdtpldt0 @ W3 @ W5 ) @ ( sdtpldt0 @ W4 @ W6 ) ) ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtasdt0 @ W2 @ W4 ) @ xJ ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtasdt0 @ W2 @ W3 ) @ xI ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtpldt0 @ W4 @ W6 ) @ xJ ) &
% 1.08/2.81 ( aElementOf0 @ ( sdtpldt0 @ W3 @ W5 ) @ xI ) &
% 1.08/2.81 ( ( W1 ) = ( sdtpldt0 @ W5 @ W6 ) ) &
% 1.08/2.81 ( aElementOf0 @ W6 @ xJ ) & ( aElementOf0 @ W5 @ xI ) ) ) &
% 1.08/2.81 ( ( W0 ) = ( sdtpldt0 @ W3 @ W4 ) ) &
% 1.08/2.81 ( aElementOf0 @ W4 @ xJ ) & ( aElementOf0 @ W3 @ xI ) ) ) ) ) =>
% 1.08/2.81 ( ( ( aSet0 @ ( sdtpldt1 @ xI @ xJ ) ) &
% 1.08/2.81 ( ![W0:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) <=>
% 1.08/2.81 ( ?[W1:$i,W2:$i]: ( zip_tseitin_3 @ W2 @ W1 @ W0 ) ) ) ) ) =>
% 1.08/2.81 ( ( ![W0:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W0 @ ( sdtpldt1 @ xI @ xJ ) ) =>
% 1.08/2.81 ( ( ![W1:$i]:
% 1.08/2.81 ( ( aElementOf0 @ W1 @ ( sdtpldt1 @ xI @ xJ ) ) =>
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtpldt0 @ W0 @ W1 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) &
% 1.08/2.81 ( ![W1:$i]:
% 1.08/2.81 ( ( aElement0 @ W1 ) =>
% 1.08/2.81 ( aElementOf0 @
% 1.08/2.81 ( sdtasdt0 @ W1 @ W0 ) @ ( sdtpldt1 @ xI @ xJ ) ) ) ) ) ) ) |
% 1.08/2.81 ( aIdeal0 @ ( sdtpldt1 @ xI @ xJ ) ) ) ) )),
% 1.08/2.81 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 1.08/2.81 thf(zip_derived_cl147, plain,
% 1.08/2.81 (( (aElementOf0 @ sk__14 @ (sdtpldt1 @ xI @ xJ)) | (aElement0 @ sk__15))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf('0', plain,
% 1.08/2.81 (( (aElementOf0 @ sk__14 @ (sdtpldt1 @ xI @ xJ))) |
% 1.08/2.81 ( (aElement0 @ sk__15))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl147])).
% 1.08/2.81 thf(zip_derived_cl148, plain,
% 1.08/2.81 ( (aElementOf0 @ sk__13 @ (sdtpldt1 @ xI @ xJ))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf(zip_derived_cl70, plain,
% 1.08/2.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.08/2.81 (((sdtpldt0 @ X1 @ X2) != (X0))
% 1.08/2.81 | ~ (aElementOf0 @ X2 @ xJ)
% 1.08/2.81 | ~ (aElementOf0 @ X1 @ xI)
% 1.08/2.81 | ~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElement0 @ X4)
% 1.08/2.81 | (aElementOf0 @ (sdtasdt0 @ X4 @ X3) @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf(zip_derived_cl152, plain,
% 1.08/2.81 ((![X3 : $i, X4 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElement0 @ X4)
% 1.08/2.81 | (aElementOf0 @ (sdtasdt0 @ X4 @ X3) @ (sdtpldt1 @ xI @ xJ))))
% 1.08/2.81 <= ((![X3 : $i, X4 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElement0 @ X4)
% 1.08/2.81 | (aElementOf0 @ (sdtasdt0 @ X4 @ X3) @ (sdtpldt1 @ xI @ xJ)))))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl70])).
% 1.08/2.81 thf(zip_derived_cl144, plain,
% 1.08/2.81 ((~ (aElementOf0 @ (sdtpldt0 @ sk__13 @ sk__14) @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ (sdtasdt0 @ sk__15 @ sk__13) @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf(zip_derived_cl216, plain,
% 1.08/2.81 ((~ (aElementOf0 @ (sdtasdt0 @ sk__15 @ sk__13) @ (sdtpldt1 @ xI @ xJ)))
% 1.08/2.81 <= (~
% 1.08/2.81 ( (aElementOf0 @ (sdtasdt0 @ sk__15 @ sk__13) @
% 1.08/2.81 (sdtpldt1 @ xI @ xJ))))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl144])).
% 1.08/2.81 thf(zip_derived_cl231, plain,
% 1.08/2.81 (((~ (aElement0 @ sk__15)
% 1.08/2.81 | ~ (aElementOf0 @ sk__13 @ (sdtpldt1 @ xI @ xJ))))
% 1.08/2.81 <= (~
% 1.08/2.81 ( (aElementOf0 @ (sdtasdt0 @ sk__15 @ sk__13) @
% 1.08/2.81 (sdtpldt1 @ xI @ xJ))) &
% 1.08/2.81 (![X3 : $i, X4 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElement0 @ X4)
% 1.08/2.81 | (aElementOf0 @ (sdtasdt0 @ X4 @ X3) @ (sdtpldt1 @ xI @ xJ)))))),
% 1.08/2.81 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl216])).
% 1.08/2.81 thf(zip_derived_cl235, plain,
% 1.08/2.81 ((~ (aElementOf0 @ sk__13 @ (sdtpldt1 @ xI @ xJ)))
% 1.08/2.81 <= (~ ( (aElementOf0 @ sk__13 @ (sdtpldt1 @ xI @ xJ))))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl231])).
% 1.08/2.81 thf('1', plain, (( (aElementOf0 @ sk__13 @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl235])).
% 1.08/2.81 thf(zip_derived_cl148, plain,
% 1.08/2.81 ( (aElementOf0 @ sk__13 @ (sdtpldt1 @ xI @ xJ))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf(zip_derived_cl108, plain,
% 1.08/2.81 (![X0 : $i, X3 : $i, X4 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElement0 @ X4)
% 1.08/2.81 | (aElementOf0 @ (sdtasdt0 @ X4 @ X3) @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf(zip_derived_cl185, plain,
% 1.08/2.81 ((![X0 : $i]: ~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ)))
% 1.08/2.81 <= ((![X0 : $i]: ~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ))))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl108])).
% 1.08/2.81 thf('2', plain,
% 1.08/2.81 (~ (![X0 : $i]: ~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl185])).
% 1.08/2.81 thf('3', plain,
% 1.08/2.81 ((![X3 : $i, X4 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElement0 @ X4)
% 1.08/2.81 | (aElementOf0 @ (sdtasdt0 @ X4 @ X3) @ (sdtpldt1 @ xI @ xJ)))) |
% 1.08/2.81 (![X0 : $i]: ~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl108])).
% 1.08/2.81 thf('4', plain,
% 1.08/2.81 (~ ( (aElementOf0 @ (sdtpldt0 @ sk__13 @ sk__14) @ (sdtpldt1 @ xI @ xJ))) |
% 1.08/2.81 ~ ( (aElementOf0 @ (sdtasdt0 @ sk__15 @ sk__13) @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl144])).
% 1.08/2.81 thf(zip_derived_cl146, plain,
% 1.08/2.81 (( (aElementOf0 @ sk__14 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ (sdtasdt0 @ sk__15 @ sk__13) @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf('5', plain,
% 1.08/2.81 (( (aElementOf0 @ sk__14 @ (sdtpldt1 @ xI @ xJ))) |
% 1.08/2.81 ~ ( (aElementOf0 @ (sdtasdt0 @ sk__15 @ sk__13) @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl146])).
% 1.08/2.81 thf('6', plain,
% 1.08/2.81 (~ ( (aElement0 @ sk__15)) |
% 1.08/2.81 ( (aElementOf0 @ (sdtasdt0 @ sk__15 @ sk__13) @ (sdtpldt1 @ xI @ xJ))) |
% 1.08/2.81 ~
% 1.08/2.81 (![X3 : $i, X4 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElement0 @ X4)
% 1.08/2.81 | (aElementOf0 @ (sdtasdt0 @ X4 @ X3) @ (sdtpldt1 @ xI @ xJ)))) |
% 1.08/2.81 ~ ( (aElementOf0 @ sk__13 @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl231])).
% 1.08/2.81 thf(zip_derived_cl145, plain,
% 1.08/2.81 ((~ (aElementOf0 @ (sdtpldt0 @ sk__13 @ sk__14) @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | (aElement0 @ sk__15))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf('7', plain,
% 1.08/2.81 (~ ( (aElementOf0 @ (sdtpldt0 @ sk__13 @ sk__14) @ (sdtpldt1 @ xI @ xJ))) |
% 1.08/2.81 ( (aElement0 @ sk__15))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl145])).
% 1.08/2.81 thf(zip_derived_cl112, plain,
% 1.08/2.81 (![X0 : $i, X3 : $i, X4 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElement0 @ X4)
% 1.08/2.81 | (aElementOf0 @ (sdtpldt0 @ X3 @ X0) @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf(zip_derived_cl193, plain,
% 1.08/2.81 ((![X0 : $i, X3 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | (aElementOf0 @ (sdtpldt0 @ X3 @ X0) @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ))))
% 1.08/2.81 <= ((![X0 : $i, X3 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | (aElementOf0 @ (sdtpldt0 @ X3 @ X0) @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ)))))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl112])).
% 1.08/2.81 thf(mSortsC, axiom, (aElement0 @ sz00)).
% 1.08/2.81 thf(zip_derived_cl1, plain, ( (aElement0 @ sz00)),
% 1.08/2.81 inference('cnf', [status(esa)], [mSortsC])).
% 1.08/2.81 thf(zip_derived_cl74, plain,
% 1.08/2.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.08/2.81 (((sdtpldt0 @ X1 @ X2) != (X0))
% 1.08/2.81 | ~ (aElementOf0 @ X2 @ xJ)
% 1.08/2.81 | ~ (aElementOf0 @ X1 @ xI)
% 1.08/2.81 | ~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElement0 @ X4)
% 1.08/2.81 | (aElementOf0 @ (sdtpldt0 @ X3 @ X0) @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf(zip_derived_cl160, plain,
% 1.08/2.81 ((![X4 : $i]: ~ (aElement0 @ X4)) <= ((![X4 : $i]: ~ (aElement0 @ X4)))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl74])).
% 1.08/2.81 thf('8', plain, (~ (![X4 : $i]: ~ (aElement0 @ X4))),
% 1.08/2.81 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl160])).
% 1.08/2.81 thf('9', plain,
% 1.08/2.81 ((![X0 : $i, X3 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | (aElementOf0 @ (sdtpldt0 @ X3 @ X0) @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ)))) |
% 1.08/2.81 (![X4 : $i]: ~ (aElement0 @ X4))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl112])).
% 1.08/2.81 thf('10', plain,
% 1.08/2.81 ((![X0 : $i, X3 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | (aElementOf0 @ (sdtpldt0 @ X3 @ X0) @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ))))),
% 1.08/2.81 inference('sat_resolution*', [status(thm)], ['8', '9'])).
% 1.08/2.81 thf(zip_derived_cl958, plain,
% 1.08/2.81 (![X0 : $i, X3 : $i]:
% 1.08/2.81 (~ (aElementOf0 @ X3 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | (aElementOf0 @ (sdtpldt0 @ X3 @ X0) @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ X0 @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('simpl_trail', [status(thm)], [zip_derived_cl193, '10'])).
% 1.08/2.81 thf(zip_derived_cl217, plain,
% 1.08/2.81 ((~ (aElementOf0 @ (sdtpldt0 @ sk__13 @ sk__14) @ (sdtpldt1 @ xI @ xJ)))
% 1.08/2.81 <= (~
% 1.08/2.81 ( (aElementOf0 @ (sdtpldt0 @ sk__13 @ sk__14) @
% 1.08/2.81 (sdtpldt1 @ xI @ xJ))))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl144])).
% 1.08/2.81 thf(zip_derived_cl960, plain,
% 1.08/2.81 (((~ (aElementOf0 @ sk__14 @ (sdtpldt1 @ xI @ xJ))
% 1.08/2.81 | ~ (aElementOf0 @ sk__13 @ (sdtpldt1 @ xI @ xJ))))
% 1.08/2.81 <= (~
% 1.08/2.81 ( (aElementOf0 @ (sdtpldt0 @ sk__13 @ sk__14) @
% 1.08/2.81 (sdtpldt1 @ xI @ xJ))))),
% 1.08/2.81 inference('s_sup-', [status(thm)], [zip_derived_cl958, zip_derived_cl217])).
% 1.08/2.81 thf(zip_derived_cl148, plain,
% 1.08/2.81 ( (aElementOf0 @ sk__13 @ (sdtpldt1 @ xI @ xJ))),
% 1.08/2.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.08/2.81 thf(zip_derived_cl971, plain,
% 1.08/2.81 ((~ (aElementOf0 @ sk__14 @ (sdtpldt1 @ xI @ xJ)))
% 1.08/2.81 <= (~
% 1.08/2.81 ( (aElementOf0 @ (sdtpldt0 @ sk__13 @ sk__14) @
% 1.08/2.81 (sdtpldt1 @ xI @ xJ))))),
% 1.08/2.81 inference('demod', [status(thm)], [zip_derived_cl960, zip_derived_cl148])).
% 1.08/2.81 thf(zip_derived_cl220, plain,
% 1.08/2.81 (( (aElementOf0 @ sk__14 @ (sdtpldt1 @ xI @ xJ)))
% 1.08/2.81 <= (( (aElementOf0 @ sk__14 @ (sdtpldt1 @ xI @ xJ))))),
% 1.08/2.81 inference('split', [status(esa)], [zip_derived_cl146])).
% 1.08/2.81 thf('11', plain,
% 1.08/2.81 (( (aElementOf0 @ (sdtpldt0 @ sk__13 @ sk__14) @ (sdtpldt1 @ xI @ xJ))) |
% 1.08/2.81 ~ ( (aElementOf0 @ sk__14 @ (sdtpldt1 @ xI @ xJ)))),
% 1.08/2.81 inference('s_sup+', [status(thm)], [zip_derived_cl971, zip_derived_cl220])).
% 1.08/2.81 thf(zip_derived_cl982, plain, ($false),
% 1.08/2.81 inference('sat_resolution*', [status(thm)],
% 1.08/2.81 ['0', '1', '2', '3', '4', '5', '6', '7', '11'])).
% 1.08/2.81
% 1.08/2.81 % SZS output end Refutation
% 1.08/2.81
% 1.08/2.81
% 1.08/2.81 % Terminating...
% 2.25/3.05 % Runner terminated.
% 2.25/3.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------