%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM558+1 : 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.k3V4odcf6k true
% Computer : n016.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 04:47:26 PM UTC 2025
% Result : Theorem 8.03s 1.74s
% Output : Refutation 8.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM558+1 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k3V4odcf6k true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:35:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.44/0.62 % Total configuration time : 435
% 0.44/0.62 % Estimated wc time : 1092
% 0.44/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 8.03/1.74 % Solved by fo/fo5.sh.
% 8.03/1.74 % done 1674 iterations in 0.967s
% 8.03/1.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.03/1.74 % SZS output start Refutation
% 8.03/1.74 thf(aSet0_type, type, aSet0: $i > $o).
% 8.03/1.74 thf(xy_type, type, xy: $i).
% 8.03/1.74 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 8.03/1.74 thf(slbdtsldtrb0_type, type, slbdtsldtrb0: $i > $i > $i).
% 8.03/1.74 thf(sz00_type, type, sz00: $i).
% 8.03/1.74 thf(xk_type, type, xk: $i).
% 8.03/1.74 thf(aElement0_type, type, aElement0: $i > $o).
% 8.03/1.74 thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 8.03/1.74 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 8.03/1.74 thf(xT_type, type, xT: $i).
% 8.03/1.74 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 8.03/1.74 thf(xx_type, type, xx: $i).
% 8.03/1.74 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 8.03/1.74 thf(isFinite0_type, type, isFinite0: $i > $o).
% 8.03/1.74 thf(slcrc0_type, type, slcrc0: $i).
% 8.03/1.74 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 8.03/1.74 thf(xQ_type, type, xQ: $i).
% 8.03/1.74 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 8.03/1.74 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 8.03/1.74 thf(xP_type, type, xP: $i).
% 8.03/1.74 thf(xS_type, type, xS: $i).
% 8.03/1.74 thf(m__, conjecture, (aElementOf0 @ xx @ xT)).
% 8.03/1.74 thf(zf_stmt_0, negated_conjecture, (~( aElementOf0 @ xx @ xT )),
% 8.03/1.74 inference('cnf.neg', [status(esa)], [m__])).
% 8.03/1.74 thf(zip_derived_cl127, plain, (~ (aElementOf0 @ xx @ xT)),
% 8.03/1.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.03/1.74 thf(mDefCons, axiom,
% 8.03/1.74 (![W0:$i,W1:$i]:
% 8.03/1.74 ( ( ( aElement0 @ W1 ) & ( aSet0 @ W0 ) ) =>
% 8.03/1.74 ( ![W2:$i]:
% 8.03/1.74 ( ( ( W2 ) = ( sdtpldt0 @ W0 @ W1 ) ) <=>
% 8.03/1.74 ( ( ![W3:$i]:
% 8.03/1.74 ( ( aElementOf0 @ W3 @ W2 ) <=>
% 8.03/1.74 ( ( ( ( W3 ) = ( W1 ) ) | ( aElementOf0 @ W3 @ W0 ) ) &
% 8.03/1.74 ( aElement0 @ W3 ) ) ) ) &
% 8.03/1.74 ( aSet0 @ W2 ) ) ) ) ))).
% 8.03/1.74 thf(zf_stmt_1, axiom,
% 8.03/1.74 (![W3:$i,W1:$i,W0:$i]:
% 8.03/1.74 ( ( zip_tseitin_0 @ W3 @ W1 @ W0 ) <=>
% 8.03/1.74 ( ( aElement0 @ W3 ) &
% 8.03/1.74 ( ( aElementOf0 @ W3 @ W0 ) | ( ( W3 ) = ( W1 ) ) ) ) ))).
% 8.03/1.74 thf(zip_derived_cl21, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.03/1.74 ( (zip_tseitin_0 @ X0 @ X1 @ X2) | ((X0) != (X1)) | ~ (aElement0 @ X0))),
% 8.03/1.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 8.03/1.74 thf(zip_derived_cl294, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i]:
% 8.03/1.74 (~ (aElement0 @ X0) | (zip_tseitin_0 @ X0 @ X0 @ X1))),
% 8.03/1.74 inference('eq_res', [status(thm)], [zip_derived_cl21])).
% 8.03/1.74 thf(mDefDiff, axiom,
% 8.03/1.74 (![W0:$i,W1:$i]:
% 8.03/1.74 ( ( ( aElement0 @ W1 ) & ( aSet0 @ W0 ) ) =>
% 8.03/1.74 ( ![W2:$i]:
% 8.03/1.74 ( ( ( W2 ) = ( sdtmndt0 @ W0 @ W1 ) ) <=>
% 8.03/1.74 ( ( ![W3:$i]:
% 8.03/1.74 ( ( aElementOf0 @ W3 @ W2 ) <=>
% 8.03/1.74 ( ( ( W3 ) != ( W1 ) ) & ( aElementOf0 @ W3 @ W0 ) &
% 8.03/1.74 ( aElement0 @ W3 ) ) ) ) &
% 8.03/1.74 ( aSet0 @ W2 ) ) ) ) ))).
% 8.03/1.74 thf(zf_stmt_2, type, zip_tseitin_1 : $i > $i > $i > $o).
% 8.03/1.74 thf(zf_stmt_3, axiom,
% 8.03/1.74 (![W3:$i,W1:$i,W0:$i]:
% 8.03/1.74 ( ( zip_tseitin_1 @ W3 @ W1 @ W0 ) <=>
% 8.03/1.74 ( ( aElement0 @ W3 ) & ( aElementOf0 @ W3 @ W0 ) & ( ( W3 ) != ( W1 ) ) ) ))).
% 8.03/1.74 thf(zf_stmt_4, axiom,
% 8.03/1.74 (![W0:$i,W1:$i]:
% 8.03/1.74 ( ( ( aSet0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 8.03/1.74 ( ![W2:$i]:
% 8.03/1.74 ( ( ( W2 ) = ( sdtmndt0 @ W0 @ W1 ) ) <=>
% 8.03/1.74 ( ( aSet0 @ W2 ) &
% 8.03/1.74 ( ![W3:$i]:
% 8.03/1.74 ( ( aElementOf0 @ W3 @ W2 ) <=> ( zip_tseitin_1 @ W3 @ W1 @ W0 ) ) ) ) ) ) ))).
% 8.03/1.74 thf(zip_derived_cl32, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.03/1.74 (~ (aSet0 @ X0)
% 8.03/1.74 | ~ (aElement0 @ X1)
% 8.03/1.74 | (aSet0 @ X2)
% 8.03/1.74 | ((X2) != (sdtmndt0 @ X0 @ X1)))),
% 8.03/1.74 inference('cnf', [status(esa)], [zf_stmt_4])).
% 8.03/1.74 thf(zip_derived_cl444, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i]:
% 8.03/1.74 ( (aSet0 @ (sdtmndt0 @ X1 @ X0)) | ~ (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 8.03/1.74 inference('eq_res', [status(thm)], [zip_derived_cl32])).
% 8.03/1.74 thf(m__2357, axiom, (( xP ) = ( sdtpldt0 @ ( sdtmndt0 @ xQ @ xy ) @ xx ))).
% 8.03/1.74 thf(zip_derived_cl125, plain,
% 8.03/1.74 (((xP) = (sdtpldt0 @ (sdtmndt0 @ xQ @ xy) @ xx))),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2357])).
% 8.03/1.74 thf(zf_stmt_5, type, zip_tseitin_0 : $i > $i > $i > $o).
% 8.03/1.74 thf(zf_stmt_6, axiom,
% 8.03/1.74 (![W0:$i,W1:$i]:
% 8.03/1.74 ( ( ( aSet0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 8.03/1.74 ( ![W2:$i]:
% 8.03/1.74 ( ( ( W2 ) = ( sdtpldt0 @ W0 @ W1 ) ) <=>
% 8.03/1.74 ( ( aSet0 @ W2 ) &
% 8.03/1.74 ( ![W3:$i]:
% 8.03/1.74 ( ( aElementOf0 @ W3 @ W2 ) <=> ( zip_tseitin_0 @ W3 @ W1 @ W0 ) ) ) ) ) ) ))).
% 8.03/1.74 thf(zip_derived_cl25, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.03/1.74 (~ (aSet0 @ X0)
% 8.03/1.74 | ~ (aElement0 @ X1)
% 8.03/1.74 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0)
% 8.03/1.74 | (aElementOf0 @ X2 @ X3)
% 8.03/1.74 | ((X3) != (sdtpldt0 @ X0 @ X1)))),
% 8.03/1.74 inference('cnf', [status(esa)], [zf_stmt_6])).
% 8.03/1.74 thf(zip_derived_cl552, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i]:
% 8.03/1.74 (((X0) != (xP))
% 8.03/1.74 | (aElementOf0 @ X1 @ X0)
% 8.03/1.74 | ~ (zip_tseitin_0 @ X1 @ xx @ (sdtmndt0 @ xQ @ xy))
% 8.03/1.74 | ~ (aElement0 @ xx)
% 8.03/1.74 | ~ (aSet0 @ (sdtmndt0 @ xQ @ xy)))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl25])).
% 8.03/1.74 thf(m__2256, axiom, (aElementOf0 @ xx @ xS)).
% 8.03/1.74 thf(zip_derived_cl116, plain, ( (aElementOf0 @ xx @ xS)),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2256])).
% 8.03/1.74 thf(mEOfElem, axiom,
% 8.03/1.74 (![W0:$i]:
% 8.03/1.74 ( ( aSet0 @ W0 ) =>
% 8.03/1.74 ( ![W1:$i]: ( ( aElementOf0 @ W1 @ W0 ) => ( aElement0 @ W1 ) ) ) ))).
% 8.03/1.74 thf(zip_derived_cl2, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i]:
% 8.03/1.74 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 8.03/1.74 inference('cnf', [status(esa)], [mEOfElem])).
% 8.03/1.74 thf(zip_derived_cl129, plain, ((~ (aSet0 @ xS) | (aElement0 @ xx))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl2])).
% 8.03/1.74 thf(m__2202_02, axiom,
% 8.03/1.74 (( ( xk ) != ( sz00 ) ) & ( aSet0 @ xT ) & ( aSet0 @ xS ))).
% 8.03/1.74 thf(zip_derived_cl113, plain, ( (aSet0 @ xS)),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2202_02])).
% 8.03/1.74 thf(zip_derived_cl135, plain, ( (aElement0 @ xx)),
% 8.03/1.74 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl113])).
% 8.03/1.74 thf(zip_derived_cl554, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i]:
% 8.03/1.74 (((X0) != (xP))
% 8.03/1.74 | (aElementOf0 @ X1 @ X0)
% 8.03/1.74 | ~ (zip_tseitin_0 @ X1 @ xx @ (sdtmndt0 @ xQ @ xy))
% 8.03/1.74 | ~ (aSet0 @ (sdtmndt0 @ xQ @ xy)))),
% 8.03/1.74 inference('demod', [status(thm)], [zip_derived_cl552, zip_derived_cl135])).
% 8.03/1.74 thf(zip_derived_cl6754, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i]:
% 8.03/1.74 (~ (aSet0 @ xQ)
% 8.03/1.74 | ~ (aElement0 @ xy)
% 8.03/1.74 | ~ (zip_tseitin_0 @ X0 @ xx @ (sdtmndt0 @ xQ @ xy))
% 8.03/1.74 | (aElementOf0 @ X0 @ X1)
% 8.03/1.74 | ((X1) != (xP)))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl444, zip_derived_cl554])).
% 8.03/1.74 thf(m__2291, axiom,
% 8.03/1.74 (( ( sbrdtbr0 @ xQ ) = ( xk ) ) & ( isFinite0 @ xQ ) & ( aSet0 @ xQ ))).
% 8.03/1.74 thf(zip_derived_cl120, plain, ( (aSet0 @ xQ)),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2291])).
% 8.03/1.74 thf(m__2304, axiom, (( aElementOf0 @ xy @ xQ ) & ( aElement0 @ xy ))).
% 8.03/1.74 thf(zip_derived_cl122, plain, ( (aElement0 @ xy)),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2304])).
% 8.03/1.74 thf(zip_derived_cl6755, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i]:
% 8.03/1.74 (~ (zip_tseitin_0 @ X0 @ xx @ (sdtmndt0 @ xQ @ xy))
% 8.03/1.74 | (aElementOf0 @ X0 @ X1)
% 8.03/1.74 | ((X1) != (xP)))),
% 8.03/1.74 inference('demod', [status(thm)],
% 8.03/1.74 [zip_derived_cl6754, zip_derived_cl120, zip_derived_cl122])).
% 8.03/1.74 thf(zip_derived_cl7043, plain,
% 8.03/1.74 (![X0 : $i]:
% 8.03/1.74 (~ (aElement0 @ xx) | ((X0) != (xP)) | (aElementOf0 @ xx @ X0))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl294, zip_derived_cl6755])).
% 8.03/1.74 thf(zip_derived_cl135, plain, ( (aElement0 @ xx)),
% 8.03/1.74 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl113])).
% 8.03/1.74 thf(zip_derived_cl7047, plain,
% 8.03/1.74 (![X0 : $i]: (((X0) != (xP)) | (aElementOf0 @ xx @ X0))),
% 8.03/1.74 inference('demod', [status(thm)], [zip_derived_cl7043, zip_derived_cl135])).
% 8.03/1.74 thf(zip_derived_cl7049, plain, ( (aElementOf0 @ xx @ xP)),
% 8.03/1.74 inference('eq_res', [status(thm)], [zip_derived_cl7047])).
% 8.03/1.74 thf(m__2378, axiom, (aElementOf0 @ xP @ ( slbdtsldtrb0 @ xS @ xk ))).
% 8.03/1.74 thf(zip_derived_cl126, plain,
% 8.03/1.74 ( (aElementOf0 @ xP @ (slbdtsldtrb0 @ xS @ xk))),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2378])).
% 8.03/1.74 thf(m__2202, axiom, (aElementOf0 @ xk @ szNzAzT0)).
% 8.03/1.74 thf(zip_derived_cl110, plain, ( (aElementOf0 @ xk @ szNzAzT0)),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2202])).
% 8.03/1.74 thf(mDefSel, axiom,
% 8.03/1.74 (![W0:$i,W1:$i]:
% 8.03/1.74 ( ( ( aSet0 @ W0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 8.03/1.74 ( ![W2:$i]:
% 8.03/1.74 ( ( ( W2 ) = ( slbdtsldtrb0 @ W0 @ W1 ) ) <=>
% 8.03/1.74 ( ( aSet0 @ W2 ) &
% 8.03/1.74 ( ![W3:$i]:
% 8.03/1.74 ( ( aElementOf0 @ W3 @ W2 ) <=>
% 8.03/1.74 ( ( aSubsetOf0 @ W3 @ W0 ) & ( ( sbrdtbr0 @ W3 ) = ( W1 ) ) ) ) ) ) ) ) ))).
% 8.03/1.74 thf(zip_derived_cl100, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.03/1.74 (~ (aSet0 @ X0)
% 8.03/1.74 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 8.03/1.74 | (aSet0 @ X2)
% 8.03/1.74 | ((X2) != (slbdtsldtrb0 @ X0 @ X1)))),
% 8.03/1.74 inference('cnf', [status(esa)], [mDefSel])).
% 8.03/1.74 thf(zip_derived_cl407, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i]:
% 8.03/1.74 (((X0) != (slbdtsldtrb0 @ X1 @ xk)) | (aSet0 @ X0) | ~ (aSet0 @ X1))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl100])).
% 8.03/1.74 thf(zip_derived_cl691, plain,
% 8.03/1.74 (![X0 : $i]: (~ (aSet0 @ X0) | (aSet0 @ (slbdtsldtrb0 @ X0 @ xk)))),
% 8.03/1.74 inference('eq_res', [status(thm)], [zip_derived_cl407])).
% 8.03/1.74 thf(m__2227, axiom,
% 8.03/1.74 (( ( slbdtsldtrb0 @ xS @ xk ) != ( slcrc0 ) ) &
% 8.03/1.74 ( aSubsetOf0 @ ( slbdtsldtrb0 @ xS @ xk ) @ ( slbdtsldtrb0 @ xT @ xk ) ))).
% 8.03/1.74 thf(zip_derived_cl115, plain,
% 8.03/1.74 ( (aSubsetOf0 @ (slbdtsldtrb0 @ xS @ xk) @ (slbdtsldtrb0 @ xT @ xk))),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2227])).
% 8.03/1.74 thf(mDefSub, axiom,
% 8.03/1.74 (![W0:$i]:
% 8.03/1.74 ( ( aSet0 @ W0 ) =>
% 8.03/1.74 ( ![W1:$i]:
% 8.03/1.74 ( ( aSubsetOf0 @ W1 @ W0 ) <=>
% 8.03/1.74 ( ( aSet0 @ W1 ) &
% 8.03/1.74 ( ![W2:$i]:
% 8.03/1.74 ( ( aElementOf0 @ W2 @ W1 ) => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ) ))).
% 8.03/1.74 thf(zip_derived_cl13, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.03/1.74 (~ (aSubsetOf0 @ X0 @ X1)
% 8.03/1.74 | (aElementOf0 @ X2 @ X1)
% 8.03/1.74 | ~ (aElementOf0 @ X2 @ X0)
% 8.03/1.74 | ~ (aSet0 @ X1))),
% 8.03/1.74 inference('cnf', [status(esa)], [mDefSub])).
% 8.03/1.74 thf(zip_derived_cl509, plain,
% 8.03/1.74 (![X0 : $i]:
% 8.03/1.74 (~ (aSet0 @ (slbdtsldtrb0 @ xT @ xk))
% 8.03/1.74 | ~ (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xS @ xk))
% 8.03/1.74 | (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xT @ xk)))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl13])).
% 8.03/1.74 thf(zip_derived_cl5507, plain,
% 8.03/1.74 (![X0 : $i]:
% 8.03/1.74 (~ (aSet0 @ xT)
% 8.03/1.74 | (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xT @ xk))
% 8.03/1.74 | ~ (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xS @ xk)))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl691, zip_derived_cl509])).
% 8.03/1.74 thf(zip_derived_cl112, plain, ( (aSet0 @ xT)),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2202_02])).
% 8.03/1.74 thf(zip_derived_cl5508, plain,
% 8.03/1.74 (![X0 : $i]:
% 8.03/1.74 ( (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xT @ xk))
% 8.03/1.74 | ~ (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xS @ xk)))),
% 8.03/1.74 inference('demod', [status(thm)], [zip_derived_cl5507, zip_derived_cl112])).
% 8.03/1.74 thf(zip_derived_cl5510, plain,
% 8.03/1.74 ( (aElementOf0 @ xP @ (slbdtsldtrb0 @ xT @ xk))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl5508])).
% 8.03/1.74 thf(zip_derived_cl110, plain, ( (aElementOf0 @ xk @ szNzAzT0)),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2202])).
% 8.03/1.74 thf(zip_derived_cl102, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.03/1.74 (~ (aSet0 @ X0)
% 8.03/1.74 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 8.03/1.74 | ~ (aElementOf0 @ X2 @ X3)
% 8.03/1.74 | (aSubsetOf0 @ X2 @ X0)
% 8.03/1.74 | ((X3) != (slbdtsldtrb0 @ X0 @ X1)))),
% 8.03/1.74 inference('cnf', [status(esa)], [mDefSel])).
% 8.03/1.74 thf(zip_derived_cl821, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.03/1.74 (((X0) != (slbdtsldtrb0 @ X1 @ xk))
% 8.03/1.74 | (aSubsetOf0 @ X2 @ X1)
% 8.03/1.74 | ~ (aElementOf0 @ X2 @ X0)
% 8.03/1.74 | ~ (aSet0 @ X1))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl102])).
% 8.03/1.74 thf(zip_derived_cl5028, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i]:
% 8.03/1.74 (~ (aSet0 @ X0)
% 8.03/1.74 | ~ (aElementOf0 @ X1 @ (slbdtsldtrb0 @ X0 @ xk))
% 8.03/1.74 | (aSubsetOf0 @ X1 @ X0))),
% 8.03/1.74 inference('eq_res', [status(thm)], [zip_derived_cl821])).
% 8.03/1.74 thf(zip_derived_cl5569, plain, (( (aSubsetOf0 @ xP @ xT) | ~ (aSet0 @ xT))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl5510, zip_derived_cl5028])).
% 8.03/1.74 thf(zip_derived_cl112, plain, ( (aSet0 @ xT)),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2202_02])).
% 8.03/1.74 thf(zip_derived_cl5573, plain, ( (aSubsetOf0 @ xP @ xT)),
% 8.03/1.74 inference('demod', [status(thm)], [zip_derived_cl5569, zip_derived_cl112])).
% 8.03/1.74 thf(zip_derived_cl13, plain,
% 8.03/1.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.03/1.74 (~ (aSubsetOf0 @ X0 @ X1)
% 8.03/1.74 | (aElementOf0 @ X2 @ X1)
% 8.03/1.74 | ~ (aElementOf0 @ X2 @ X0)
% 8.03/1.74 | ~ (aSet0 @ X1))),
% 8.03/1.74 inference('cnf', [status(esa)], [mDefSub])).
% 8.03/1.74 thf(zip_derived_cl5574, plain,
% 8.03/1.74 (![X0 : $i]:
% 8.03/1.74 (~ (aSet0 @ xT) | ~ (aElementOf0 @ X0 @ xP) | (aElementOf0 @ X0 @ xT))),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl5573, zip_derived_cl13])).
% 8.03/1.74 thf(zip_derived_cl112, plain, ( (aSet0 @ xT)),
% 8.03/1.74 inference('cnf', [status(esa)], [m__2202_02])).
% 8.03/1.74 thf(zip_derived_cl5580, plain,
% 8.03/1.74 (![X0 : $i]: (~ (aElementOf0 @ X0 @ xP) | (aElementOf0 @ X0 @ xT))),
% 8.03/1.74 inference('demod', [status(thm)], [zip_derived_cl5574, zip_derived_cl112])).
% 8.03/1.74 thf(zip_derived_cl7057, plain, ( (aElementOf0 @ xx @ xT)),
% 8.03/1.74 inference('sup-', [status(thm)], [zip_derived_cl7049, zip_derived_cl5580])).
% 8.03/1.74 thf(zip_derived_cl7063, plain, ($false),
% 8.03/1.74 inference('demod', [status(thm)], [zip_derived_cl127, zip_derived_cl7057])).
% 8.03/1.74
% 8.03/1.74 % SZS output end Refutation
% 8.03/1.74
% 8.03/1.74
% 8.03/1.74 % Terminating...
% 8.55/1.87 % Runner terminated.
% 8.55/1.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------