%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : RNG106+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.ST7rSjLn0G true
% Computer : n022.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 04:50:33 PM UTC 2025
% Result : Theorem 0.55s 0.80s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG106+2 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ST7rSjLn0G true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 17:22:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.80 % Solved by fo/fo1_av.sh.
% 0.55/0.80 % done 77 iterations in 0.043s
% 0.55/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.80 % SZS output start Refutation
% 0.55/0.80 thf(sdtasdt0_type, type, sdtasdt0: $i > $i > $i).
% 0.55/0.80 thf(aElement0_type, type, aElement0: $i > $o).
% 0.55/0.80 thf(sk__23_type, type, sk__23: $i).
% 0.55/0.80 thf(sz00_type, type, sz00: $i).
% 0.55/0.80 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 0.55/0.80 thf(slsdtgt0_type, type, slsdtgt0: $i > $i).
% 0.55/0.80 thf(aIdeal0_type, type, aIdeal0: $i > $o).
% 0.55/0.80 thf(sk__21_type, type, sk__21: $i).
% 0.55/0.80 thf(sk__27_type, type, sk__27: $i > $i > $i).
% 0.55/0.80 thf(xc_type, type, xc: $i).
% 0.55/0.80 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $o).
% 0.55/0.80 thf(sk__26_type, type, sk__26: $i > $i > $i).
% 0.55/0.80 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 0.55/0.80 thf(aSet0_type, type, aSet0: $i > $o).
% 0.55/0.80 thf(sk__22_type, type, sk__22: $i).
% 0.55/0.80 thf(m__, conjecture,
% 0.55/0.80 (( ![W0:$i,W1:$i,W2:$i]:
% 0.55/0.80 ( ( ( aElement0 @ W2 ) &
% 0.55/0.80 ( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xc ) ) |
% 0.55/0.80 ( ?[W3:$i]:
% 0.55/0.80 ( ( aElement0 @ W3 ) & ( ( sdtasdt0 @ xc @ W3 ) = ( W1 ) ) ) ) ) &
% 0.55/0.80 ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) ) |
% 0.55/0.80 ( ?[W3:$i]:
% 0.55/0.80 ( ( aElement0 @ W3 ) & ( ( sdtasdt0 @ xc @ W3 ) = ( W0 ) ) ) ) ) ) =>
% 0.55/0.80 ( ?[W3:$i]:
% 0.55/0.80 ( ( aElement0 @ W3 ) & ( ( sdtasdt0 @ xc @ W3 ) = ( W0 ) ) &
% 0.55/0.80 ( ?[W4:$i]:
% 0.55/0.80 ( ( aElement0 @ W4 ) & ( ( sdtasdt0 @ xc @ W4 ) = ( W1 ) ) &
% 0.55/0.80 ( ( sdtpldt0 @ W0 @ W1 ) =
% 0.55/0.80 ( sdtasdt0 @ xc @ ( sdtpldt0 @ W3 @ W4 ) ) ) &
% 0.55/0.80 ( ( sdtasdt0 @ W2 @ W0 ) =
% 0.55/0.80 ( sdtasdt0 @ xc @ ( sdtasdt0 @ W3 @ W2 ) ) ) &
% 0.55/0.80 ( ?[W5:$i]:
% 0.55/0.80 ( ( aElement0 @ W5 ) &
% 0.55/0.80 ( ( sdtasdt0 @ xc @ W5 ) = ( sdtpldt0 @ W0 @ W1 ) ) ) ) &
% 0.55/0.80 ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( slsdtgt0 @ xc ) ) &
% 0.55/0.80 ( ?[W5:$i]:
% 0.55/0.80 ( ( aElement0 @ W5 ) &
% 0.55/0.80 ( ( sdtasdt0 @ xc @ W5 ) = ( sdtasdt0 @ W2 @ W0 ) ) ) ) &
% 0.55/0.80 ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( slsdtgt0 @ xc ) ) ) ) ) ) ) ) =>
% 0.55/0.80 ( ( ( ![W0:$i]:
% 0.55/0.80 ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) ) <=>
% 0.55/0.80 ( ?[W1:$i]:
% 0.55/0.80 ( ( aElement0 @ W1 ) & ( ( sdtasdt0 @ xc @ W1 ) = ( W0 ) ) ) ) ) ) &
% 0.55/0.80 ( aSet0 @ ( slsdtgt0 @ xc ) ) ) =>
% 0.55/0.80 ( ( aIdeal0 @ ( slsdtgt0 @ xc ) ) |
% 0.55/0.80 ( ![W0:$i]:
% 0.55/0.80 ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) ) =>
% 0.55/0.80 ( ( ![W1:$i]:
% 0.55/0.80 ( ( aElement0 @ W1 ) =>
% 0.55/0.80 ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( slsdtgt0 @ xc ) ) ) ) &
% 0.55/0.80 ( ![W1:$i]:
% 0.55/0.80 ( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xc ) ) =>
% 0.55/0.80 ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( slsdtgt0 @ xc ) ) ) ) ) ) ) ) ))).
% 0.55/0.80 thf(zf_stmt_0, type, zip_tseitin_5 : $i > $i > $o).
% 0.55/0.80 thf(zf_stmt_1, axiom,
% 0.55/0.80 (![W1:$i,W0:$i]:
% 0.55/0.80 ( ( zip_tseitin_5 @ W1 @ W0 ) <=>
% 0.55/0.80 ( ( ( sdtasdt0 @ xc @ W1 ) = ( W0 ) ) & ( aElement0 @ W1 ) ) ))).
% 0.55/0.80 thf(zf_stmt_2, conjecture,
% 0.55/0.80 (( ![W0:$i,W1:$i,W2:$i]:
% 0.55/0.80 ( ( ( ( ?[W3:$i]:
% 0.55/0.80 ( ( ( sdtasdt0 @ xc @ W3 ) = ( W0 ) ) & ( aElement0 @ W3 ) ) ) |
% 0.55/0.80 ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) ) ) &
% 0.55/0.80 ( ( ?[W3:$i]:
% 0.55/0.80 ( ( ( sdtasdt0 @ xc @ W3 ) = ( W1 ) ) & ( aElement0 @ W3 ) ) ) |
% 0.55/0.80 ( aElementOf0 @ W1 @ ( slsdtgt0 @ xc ) ) ) &
% 0.55/0.80 ( aElement0 @ W2 ) ) =>
% 0.55/0.80 ( ?[W3:$i]:
% 0.55/0.80 ( ( ?[W4:$i]:
% 0.55/0.80 ( ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( slsdtgt0 @ xc ) ) &
% 0.55/0.80 ( ?[W5:$i]:
% 0.55/0.80 ( ( ( sdtasdt0 @ xc @ W5 ) = ( sdtasdt0 @ W2 @ W0 ) ) &
% 0.55/0.80 ( aElement0 @ W5 ) ) ) &
% 0.55/0.80 ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( slsdtgt0 @ xc ) ) &
% 0.55/0.80 ( ?[W5:$i]:
% 0.55/0.80 ( ( ( sdtasdt0 @ xc @ W5 ) = ( sdtpldt0 @ W0 @ W1 ) ) &
% 0.55/0.80 ( aElement0 @ W5 ) ) ) &
% 0.55/0.80 ( ( sdtasdt0 @ W2 @ W0 ) =
% 0.55/0.80 ( sdtasdt0 @ xc @ ( sdtasdt0 @ W3 @ W2 ) ) ) &
% 0.55/0.80 ( ( sdtpldt0 @ W0 @ W1 ) =
% 0.55/0.80 ( sdtasdt0 @ xc @ ( sdtpldt0 @ W3 @ W4 ) ) ) &
% 0.55/0.80 ( ( sdtasdt0 @ xc @ W4 ) = ( W1 ) ) & ( aElement0 @ W4 ) ) ) &
% 0.55/0.80 ( ( sdtasdt0 @ xc @ W3 ) = ( W0 ) ) & ( aElement0 @ W3 ) ) ) ) ) =>
% 0.55/0.80 ( ( ( aSet0 @ ( slsdtgt0 @ xc ) ) &
% 0.55/0.80 ( ![W0:$i]:
% 0.55/0.80 ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) ) <=>
% 0.55/0.80 ( ?[W1:$i]: ( zip_tseitin_5 @ W1 @ W0 ) ) ) ) ) =>
% 0.55/0.80 ( ( ![W0:$i]:
% 0.55/0.80 ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) ) =>
% 0.55/0.80 ( ( ![W1:$i]:
% 0.55/0.80 ( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xc ) ) =>
% 0.55/0.80 ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( slsdtgt0 @ xc ) ) ) ) &
% 0.55/0.80 ( ![W1:$i]:
% 0.55/0.80 ( ( aElement0 @ W1 ) =>
% 0.55/0.80 ( aElementOf0 @ ( sdtasdt0 @ W1 @ W0 ) @ ( slsdtgt0 @ xc ) ) ) ) ) ) ) |
% 0.55/0.80 ( aIdeal0 @ ( slsdtgt0 @ xc ) ) ) ))).
% 0.55/0.80 thf(zf_stmt_3, negated_conjecture,
% 0.55/0.80 (~( ( ![W0:$i,W1:$i,W2:$i]:
% 0.55/0.80 ( ( ( ( ?[W3:$i]:
% 0.55/0.80 ( ( ( sdtasdt0 @ xc @ W3 ) = ( W0 ) ) & ( aElement0 @ W3 ) ) ) |
% 0.55/0.80 ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) ) ) &
% 0.55/0.80 ( ( ?[W3:$i]:
% 0.55/0.80 ( ( ( sdtasdt0 @ xc @ W3 ) = ( W1 ) ) & ( aElement0 @ W3 ) ) ) |
% 0.55/0.80 ( aElementOf0 @ W1 @ ( slsdtgt0 @ xc ) ) ) &
% 0.55/0.80 ( aElement0 @ W2 ) ) =>
% 0.55/0.80 ( ?[W3:$i]:
% 0.55/0.80 ( ( ?[W4:$i]:
% 0.55/0.80 ( ( aElementOf0 @ ( sdtasdt0 @ W2 @ W0 ) @ ( slsdtgt0 @ xc ) ) &
% 0.55/0.80 ( ?[W5:$i]:
% 0.55/0.80 ( ( ( sdtasdt0 @ xc @ W5 ) = ( sdtasdt0 @ W2 @ W0 ) ) &
% 0.55/0.80 ( aElement0 @ W5 ) ) ) &
% 0.55/0.80 ( aElementOf0 @ ( sdtpldt0 @ W0 @ W1 ) @ ( slsdtgt0 @ xc ) ) &
% 0.55/0.80 ( ?[W5:$i]:
% 0.55/0.80 ( ( ( sdtasdt0 @ xc @ W5 ) = ( sdtpldt0 @ W0 @ W1 ) ) &
% 0.55/0.80 ( aElement0 @ W5 ) ) ) &
% 0.55/0.80 ( ( sdtasdt0 @ W2 @ W0 ) =
% 0.55/0.80 ( sdtasdt0 @ xc @ ( sdtasdt0 @ W3 @ W2 ) ) ) &
% 0.55/0.80 ( ( sdtpldt0 @ W0 @ W1 ) =
% 0.55/0.80 ( sdtasdt0 @ xc @ ( sdtpldt0 @ W3 @ W4 ) ) ) &
% 0.55/0.80 ( ( sdtasdt0 @ xc @ W4 ) = ( W1 ) ) & ( aElement0 @ W4 ) ) ) &
% 0.55/0.80 ( ( sdtasdt0 @ xc @ W3 ) = ( W0 ) ) & ( aElement0 @ W3 ) ) ) ) ) =>
% 0.55/0.80 ( ( ( aSet0 @ ( slsdtgt0 @ xc ) ) &
% 0.55/0.80 ( ![W0:$i]:
% 0.55/0.80 ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) ) <=>
% 0.55/0.80 ( ?[W1:$i]: ( zip_tseitin_5 @ W1 @ W0 ) ) ) ) ) =>
% 0.55/0.80 ( ( ![W0:$i]:
% 0.55/0.80 ( ( aElementOf0 @ W0 @ ( slsdtgt0 @ xc ) ) =>
% 0.55/0.80 ( ( ![W1:$i]:
% 0.55/0.80 ( ( aElementOf0 @ W1 @ ( slsdtgt0 @ xc ) ) =>
% 0.55/0.80 ( aElementOf0 @
% 0.55/0.80 ( sdtpldt0 @ W0 @ W1 ) @ ( slsdtgt0 @ xc ) ) ) ) &
% 0.55/0.80 ( ![W1:$i]:
% 0.55/0.80 ( ( aElement0 @ W1 ) =>
% 0.55/0.80 ( aElementOf0 @
% 0.55/0.80 ( sdtasdt0 @ W1 @ W0 ) @ ( slsdtgt0 @ xc ) ) ) ) ) ) ) |
% 0.55/0.80 ( aIdeal0 @ ( slsdtgt0 @ xc ) ) ) ) )),
% 0.55/0.80 inference('cnf.neg', [status(esa)], [zf_stmt_2])).
% 0.55/0.80 thf(zip_derived_cl149, plain,
% 0.55/0.80 (( (aElementOf0 @ sk__22 @ (slsdtgt0 @ xc)) | (aElement0 @ sk__23))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf('0', plain,
% 0.55/0.80 (( (aElement0 @ sk__23)) | ( (aElementOf0 @ sk__22 @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl149])).
% 0.55/0.80 thf(zip_derived_cl150, plain, ( (aElementOf0 @ sk__21 @ (slsdtgt0 @ xc))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf(zip_derived_cl106, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.80 (~ (aElement0 @ X0)
% 0.55/0.80 | ((sdtasdt0 @ xc @ X0) != (X1))
% 0.55/0.80 | ~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElement0 @ X3)
% 0.55/0.80 | (aElementOf0 @ (sdtasdt0 @ X3 @ X2) @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf(zip_derived_cl164, plain,
% 0.55/0.80 ((![X2 : $i, X3 : $i]:
% 0.55/0.80 (~ (aElement0 @ X3)
% 0.55/0.80 | ~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtasdt0 @ X3 @ X2) @ (slsdtgt0 @ xc))))
% 0.55/0.80 <= ((![X2 : $i, X3 : $i]:
% 0.55/0.80 (~ (aElement0 @ X3)
% 0.55/0.80 | ~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtasdt0 @ X3 @ X2) @ (slsdtgt0 @ xc)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl106])).
% 0.55/0.80 thf(zip_derived_cl104, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.80 (~ (aElement0 @ X0)
% 0.55/0.80 | ((sdtasdt0 @ xc @ X0) != (X1))
% 0.55/0.80 | ~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElement0 @ X3)
% 0.55/0.80 | (aElement0 @ (sk__27 @ X3 @ X2)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf(zip_derived_cl161, plain,
% 0.55/0.80 ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (aElement0 @ X0) | ((sdtasdt0 @ xc @ X0) != (X1))))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (aElement0 @ X0) | ((sdtasdt0 @ xc @ X0) != (X1)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl104])).
% 0.55/0.80 thf(zip_derived_cl212, plain,
% 0.55/0.80 ((![X0 : $i]: ~ (aElement0 @ X0))
% 0.55/0.80 <= ((![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (aElement0 @ X0) | ((sdtasdt0 @ xc @ X0) != (X1)))))),
% 0.55/0.80 inference('eq_res', [status(thm)], [zip_derived_cl161])).
% 0.55/0.80 thf(mSortsC, axiom, (aElement0 @ sz00)).
% 0.55/0.80 thf(zip_derived_cl1, plain, ( (aElement0 @ sz00)),
% 0.55/0.80 inference('cnf', [status(esa)], [mSortsC])).
% 0.55/0.80 thf('1', plain,
% 0.55/0.80 (~
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (aElement0 @ X0) | ((sdtasdt0 @ xc @ X0) != (X1))))),
% 0.55/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl212, zip_derived_cl1])).
% 0.55/0.80 thf('2', plain,
% 0.55/0.80 ((![X2 : $i, X3 : $i]:
% 0.55/0.80 (~ (aElement0 @ X3)
% 0.55/0.80 | ~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtasdt0 @ X3 @ X2) @ (slsdtgt0 @ xc)))) |
% 0.55/0.80 (![X0 : $i, X1 : $i]:
% 0.55/0.80 (~ (aElement0 @ X0) | ((sdtasdt0 @ xc @ X0) != (X1))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl106])).
% 0.55/0.80 thf('3', plain,
% 0.55/0.80 ((![X2 : $i, X3 : $i]:
% 0.55/0.80 (~ (aElement0 @ X3)
% 0.55/0.80 | ~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtasdt0 @ X3 @ X2) @ (slsdtgt0 @ xc))))),
% 0.55/0.80 inference('sat_resolution*', [status(thm)], ['1', '2'])).
% 0.55/0.80 thf(zip_derived_cl232, plain,
% 0.55/0.80 (![X2 : $i, X3 : $i]:
% 0.55/0.80 (~ (aElement0 @ X3)
% 0.55/0.80 | ~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtasdt0 @ X3 @ X2) @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('simpl_trail', [status(thm)], [zip_derived_cl164, '3'])).
% 0.55/0.80 thf(zip_derived_cl146, plain,
% 0.55/0.80 ((~ (aElementOf0 @ (sdtpldt0 @ sk__21 @ sk__22) @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElementOf0 @ (sdtasdt0 @ sk__23 @ sk__21) @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf(zip_derived_cl202, plain,
% 0.55/0.80 ((~ (aElementOf0 @ (sdtasdt0 @ sk__23 @ sk__21) @ (slsdtgt0 @ xc)))
% 0.55/0.80 <= (~
% 0.55/0.80 ( (aElementOf0 @ (sdtasdt0 @ sk__23 @ sk__21) @ (slsdtgt0 @ xc))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl146])).
% 0.55/0.80 thf(zip_derived_cl234, plain,
% 0.55/0.80 (((~ (aElementOf0 @ sk__21 @ (slsdtgt0 @ xc)) | ~ (aElement0 @ sk__23)))
% 0.55/0.80 <= (~
% 0.55/0.80 ( (aElementOf0 @ (sdtasdt0 @ sk__23 @ sk__21) @ (slsdtgt0 @ xc))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl232, zip_derived_cl202])).
% 0.55/0.80 thf(zip_derived_cl236, plain,
% 0.55/0.80 ((~ (aElementOf0 @ sk__21 @ (slsdtgt0 @ xc)))
% 0.55/0.80 <= (~ ( (aElementOf0 @ sk__21 @ (slsdtgt0 @ xc))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl234])).
% 0.55/0.80 thf('4', plain, (( (aElementOf0 @ sk__21 @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl150, zip_derived_cl236])).
% 0.55/0.80 thf('5', plain,
% 0.55/0.80 (~ ( (aElementOf0 @ (sdtasdt0 @ sk__23 @ sk__21) @ (slsdtgt0 @ xc))) |
% 0.55/0.80 ~ ( (aElementOf0 @ (sdtpldt0 @ sk__21 @ sk__22) @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl146])).
% 0.55/0.80 thf(zip_derived_cl147, plain,
% 0.55/0.80 ((~ (aElementOf0 @ (sdtpldt0 @ sk__21 @ sk__22) @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElement0 @ sk__23))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf('6', plain,
% 0.55/0.80 (( (aElement0 @ sk__23)) |
% 0.55/0.80 ~ ( (aElementOf0 @ (sdtpldt0 @ sk__21 @ sk__22) @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl147])).
% 0.55/0.80 thf(zip_derived_cl127, plain,
% 0.55/0.80 (![X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.80 (~ (aElementOf0 @ X1 @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElement0 @ X3)
% 0.55/0.80 | (aElementOf0 @ (sdtpldt0 @ X2 @ X1) @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf(zip_derived_cl183, plain,
% 0.55/0.80 ((![X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtpldt0 @ X2 @ X1) @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElementOf0 @ X1 @ (slsdtgt0 @ xc))))
% 0.55/0.80 <= ((![X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtpldt0 @ X2 @ X1) @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElementOf0 @ X1 @ (slsdtgt0 @ xc)))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl127])).
% 0.55/0.80 thf(zip_derived_cl1, plain, ( (aElement0 @ sz00)),
% 0.55/0.80 inference('cnf', [status(esa)], [mSortsC])).
% 0.55/0.80 thf(zip_derived_cl101, plain,
% 0.55/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/0.80 (~ (aElement0 @ X0)
% 0.55/0.80 | ((sdtasdt0 @ xc @ X0) != (X1))
% 0.55/0.80 | ~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElement0 @ X3)
% 0.55/0.80 | (aElement0 @ (sk__26 @ X1 @ X2)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf(zip_derived_cl154, plain,
% 0.55/0.80 ((![X3 : $i]: ~ (aElement0 @ X3)) <= ((![X3 : $i]: ~ (aElement0 @ X3)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl101])).
% 0.55/0.80 thf('7', plain, (~ (![X3 : $i]: ~ (aElement0 @ X3))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl154])).
% 0.55/0.80 thf('8', plain,
% 0.55/0.80 ((![X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtpldt0 @ X2 @ X1) @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElementOf0 @ X1 @ (slsdtgt0 @ xc)))) |
% 0.55/0.80 (![X3 : $i]: ~ (aElement0 @ X3))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl127])).
% 0.55/0.80 thf('9', plain,
% 0.55/0.80 ((![X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtpldt0 @ X2 @ X1) @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElementOf0 @ X1 @ (slsdtgt0 @ xc))))),
% 0.55/0.80 inference('sat_resolution*', [status(thm)], ['7', '8'])).
% 0.55/0.80 thf(zip_derived_cl256, plain,
% 0.55/0.80 (![X1 : $i, X2 : $i]:
% 0.55/0.80 (~ (aElementOf0 @ X2 @ (slsdtgt0 @ xc))
% 0.55/0.80 | (aElementOf0 @ (sdtpldt0 @ X2 @ X1) @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElementOf0 @ X1 @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('simpl_trail', [status(thm)], [zip_derived_cl183, '9'])).
% 0.55/0.80 thf(zip_derived_cl203, plain,
% 0.55/0.80 ((~ (aElementOf0 @ (sdtpldt0 @ sk__21 @ sk__22) @ (slsdtgt0 @ xc)))
% 0.55/0.80 <= (~
% 0.55/0.80 ( (aElementOf0 @ (sdtpldt0 @ sk__21 @ sk__22) @ (slsdtgt0 @ xc))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl146])).
% 0.55/0.80 thf(zip_derived_cl257, plain,
% 0.55/0.80 (((~ (aElementOf0 @ sk__22 @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElementOf0 @ sk__21 @ (slsdtgt0 @ xc))))
% 0.55/0.80 <= (~
% 0.55/0.80 ( (aElementOf0 @ (sdtpldt0 @ sk__21 @ sk__22) @ (slsdtgt0 @ xc))))),
% 0.55/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl256, zip_derived_cl203])).
% 0.55/0.80 thf(zip_derived_cl150, plain, ( (aElementOf0 @ sk__21 @ (slsdtgt0 @ xc))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf(zip_derived_cl260, plain,
% 0.55/0.80 ((~ (aElementOf0 @ sk__22 @ (slsdtgt0 @ xc)))
% 0.55/0.80 <= (~
% 0.55/0.80 ( (aElementOf0 @ (sdtpldt0 @ sk__21 @ sk__22) @ (slsdtgt0 @ xc))))),
% 0.55/0.80 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl150])).
% 0.55/0.80 thf(zip_derived_cl148, plain,
% 0.55/0.80 (( (aElementOf0 @ sk__22 @ (slsdtgt0 @ xc))
% 0.55/0.80 | ~ (aElementOf0 @ (sdtasdt0 @ sk__23 @ sk__21) @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/0.80 thf(zip_derived_cl206, plain,
% 0.55/0.80 (( (aElementOf0 @ sk__22 @ (slsdtgt0 @ xc)))
% 0.55/0.80 <= (( (aElementOf0 @ sk__22 @ (slsdtgt0 @ xc))))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl148])).
% 0.55/0.80 thf('10', plain,
% 0.55/0.80 (~ ( (aElementOf0 @ sk__22 @ (slsdtgt0 @ xc))) |
% 0.55/0.80 ( (aElementOf0 @ (sdtpldt0 @ sk__21 @ sk__22) @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl260, zip_derived_cl206])).
% 0.55/0.80 thf('11', plain,
% 0.55/0.80 (~ ( (aElementOf0 @ (sdtasdt0 @ sk__23 @ sk__21) @ (slsdtgt0 @ xc))) |
% 0.55/0.80 ( (aElementOf0 @ sk__22 @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl148])).
% 0.55/0.80 thf('12', plain,
% 0.55/0.80 (( (aElementOf0 @ (sdtasdt0 @ sk__23 @ sk__21) @ (slsdtgt0 @ xc))) |
% 0.55/0.80 ~ ( (aElement0 @ sk__23)) |
% 0.55/0.80 ~ ( (aElementOf0 @ sk__21 @ (slsdtgt0 @ xc)))),
% 0.55/0.80 inference('split', [status(esa)], [zip_derived_cl234])).
% 0.55/0.80 thf(zip_derived_cl285, plain, ($false),
% 0.55/0.80 inference('sat_resolution*', [status(thm)],
% 0.55/0.80 ['0', '4', '5', '6', '10', '11', '12'])).
% 0.55/0.80
% 0.55/0.80 % SZS output end Refutation
% 0.55/0.80
% 0.55/0.80
% 0.55/0.80 % Terminating...
% 0.55/0.85 % Runner terminated.
% 0.55/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------