%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM601+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.MVchEsIjzJ 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 04:47:35 PM UTC 2025
% Result : Theorem 31.94s 5.18s
% Output : Refutation 31.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM601+3 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MVchEsIjzJ true
% 0.13/0.35 % Computer : n022.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 16:35:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 31.94/5.18 % Solved by fo/fo5.sh.
% 31.94/5.18 % done 5063 iterations in 4.364s
% 31.94/5.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 31.94/5.18 % SZS output start Refutation
% 31.94/5.18 thf(szDzizrdt0_type, type, szDzizrdt0: $i > $i).
% 31.94/5.18 thf(aSet0_type, type, aSet0: $i > $o).
% 31.94/5.18 thf(szDzozmdt0_type, type, szDzozmdt0: $i > $i).
% 31.94/5.18 thf(aFunction0_type, type, aFunction0: $i > $o).
% 31.94/5.18 thf(slbdtsldtrb0_type, type, slbdtsldtrb0: $i > $i > $i).
% 31.94/5.18 thf(sz00_type, type, sz00: $i).
% 31.94/5.18 thf(xe_type, type, xe: $i).
% 31.94/5.18 thf(xO_type, type, xO: $i).
% 31.94/5.18 thf(szszuzczcdt0_type, type, szszuzczcdt0: $i > $i).
% 31.94/5.18 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 31.94/5.18 thf(isCountable0_type, type, isCountable0: $i > $o).
% 31.94/5.18 thf(zip_tseitin_21_type, type, zip_tseitin_21: $i > $i > $o).
% 31.94/5.18 thf(sdtlbdtrb0_type, type, sdtlbdtrb0: $i > $i > $i).
% 31.94/5.18 thf(aElement0_type, type, aElement0: $i > $o).
% 31.94/5.18 thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 31.94/5.18 thf(xS_type, type, xS: $i).
% 31.94/5.18 thf(sdtlseqdt0_type, type, sdtlseqdt0: $i > $i > $o).
% 31.94/5.18 thf(zip_tseitin_23_type, type, zip_tseitin_23: $i > $o).
% 31.94/5.18 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 31.94/5.18 thf(sk__45_type, type, sk__45: $i).
% 31.94/5.18 thf(szmzizndt0_type, type, szmzizndt0: $i > $i).
% 31.94/5.18 thf(sk__43_type, type, sk__43: $i > $i).
% 31.94/5.18 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 31.94/5.18 thf(xC_type, type, xC: $i).
% 31.94/5.18 thf(xT_type, type, xT: $i).
% 31.94/5.18 thf(zip_tseitin_20_type, type, zip_tseitin_20: $i > $o).
% 31.94/5.18 thf(zip_tseitin_19_type, type, zip_tseitin_19: $i > $i > $o).
% 31.94/5.18 thf(xd_type, type, xd: $i).
% 31.94/5.18 thf(xk_type, type, xk: $i).
% 31.94/5.18 thf(zip_tseitin_22_type, type, zip_tseitin_22: $i > $i > $o).
% 31.94/5.18 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 31.94/5.18 thf(xN_type, type, xN: $i).
% 31.94/5.18 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 31.94/5.18 thf(sdtlcdtrc0_type, type, sdtlcdtrc0: $i > $i > $i).
% 31.94/5.18 thf(m__, conjecture,
% 31.94/5.18 (( aSubsetOf0 @ xO @ xS ) |
% 31.94/5.18 ( ![W0:$i]: ( ( aElementOf0 @ W0 @ xO ) => ( aElementOf0 @ W0 @ xS ) ) ))).
% 31.94/5.18 thf(zf_stmt_0, negated_conjecture,
% 31.94/5.18 (~( ( aSubsetOf0 @ xO @ xS ) |
% 31.94/5.18 ( ![W0:$i]: ( ( aElementOf0 @ W0 @ xO ) => ( aElementOf0 @ W0 @ xS ) ) ) )),
% 31.94/5.18 inference('cnf.neg', [status(esa)], [m__])).
% 31.94/5.18 thf(zip_derived_cl438, plain, ( (aElementOf0 @ sk__45 @ xO)),
% 31.94/5.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.94/5.18 thf(m__4891, axiom,
% 31.94/5.18 (( ( xO ) = ( sdtlcdtrc0 @ xe @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) &
% 31.94/5.18 ( ![W0:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W0 @ xO ) <=>
% 31.94/5.18 ( ?[W1:$i]:
% 31.94/5.18 ( ( ( sdtlpdtrp0 @ xe @ W1 ) = ( W0 ) ) &
% 31.94/5.18 ( aElementOf0 @ W1 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) ) ) ) ) &
% 31.94/5.18 ( ![W0:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) <=>
% 31.94/5.18 ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xd ) ) &
% 31.94/5.18 ( ( sdtlpdtrp0 @ xd @ W0 ) = ( szDzizrdt0 @ xd ) ) ) ) ) &
% 31.94/5.18 ( aSet0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) & ( aSet0 @ xO ))).
% 31.94/5.18 thf(zip_derived_cl426, plain,
% 31.94/5.18 (![X0 : $i]:
% 31.94/5.18 ( (aElementOf0 @ (sk__43 @ X0) @ (sdtlbdtrb0 @ xd @ (szDzizrdt0 @ xd)))
% 31.94/5.18 | ~ (aElementOf0 @ X0 @ xO))),
% 31.94/5.18 inference('cnf', [status(esa)], [m__4891])).
% 31.94/5.18 thf(zip_derived_cl1506, plain,
% 31.94/5.18 ( (aElementOf0 @ (sk__43 @ sk__45) @
% 31.94/5.18 (sdtlbdtrb0 @ xd @ (szDzizrdt0 @ xd)))),
% 31.94/5.18 inference('sup-', [status(thm)], [zip_derived_cl438, zip_derived_cl426])).
% 31.94/5.18 thf(m__4854, axiom,
% 31.94/5.18 (( ![W0:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) <=>
% 31.94/5.18 ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xd ) ) &
% 31.94/5.18 ( ( sdtlpdtrp0 @ xd @ W0 ) = ( szDzizrdt0 @ xd ) ) ) ) ) &
% 31.94/5.18 ( aSet0 @ ( sdtlbdtrb0 @ xd @ ( szDzizrdt0 @ xd ) ) ) &
% 31.94/5.18 ( aElementOf0 @ ( szDzizrdt0 @ xd ) @ xT ))).
% 31.94/5.18 thf(zip_derived_cl417, plain,
% 31.94/5.18 (![X0 : $i]:
% 31.94/5.18 ( (aElementOf0 @ X0 @ (szDzozmdt0 @ xd))
% 31.94/5.18 | ~ (aElementOf0 @ X0 @ (sdtlbdtrb0 @ xd @ (szDzizrdt0 @ xd))))),
% 31.94/5.18 inference('cnf', [status(esa)], [m__4854])).
% 31.94/5.18 thf(m__4730, axiom,
% 31.94/5.18 (( ![W0:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 31.94/5.18 ( ![W1:$i]:
% 31.94/5.18 ( ( ( aSet0 @ W1 ) &
% 31.94/5.18 ( ( ( ( ![W2:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W2 @ W1 ) =>
% 31.94/5.18 ( aElementOf0 @
% 31.94/5.18 W2 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ) |
% 31.94/5.18 ( aSubsetOf0 @
% 31.94/5.18 W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) &
% 31.94/5.18 ( ( sbrdtbr0 @ W1 ) = ( xk ) ) ) |
% 31.94/5.18 ( aElementOf0 @
% 31.94/5.18 W1 @
% 31.94/5.18 ( slbdtsldtrb0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @ xk ) ) ) ) =>
% 31.94/5.18 ( ( sdtlpdtrp0 @ xd @ W0 ) =
% 31.94/5.18 ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ W0 ) @ W1 ) ) ) ) ) ) &
% 31.94/5.18 ( ( szDzozmdt0 @ xd ) = ( szNzAzT0 ) ) & ( aFunction0 @ xd ))).
% 31.94/5.18 thf(zip_derived_cl403, plain, (((szDzozmdt0 @ xd) = (szNzAzT0))),
% 31.94/5.18 inference('cnf', [status(esa)], [m__4730])).
% 31.94/5.18 thf(zip_derived_cl1728, plain,
% 31.94/5.18 (![X0 : $i]:
% 31.94/5.18 ( (aElementOf0 @ X0 @ szNzAzT0)
% 31.94/5.18 | ~ (aElementOf0 @ X0 @ (sdtlbdtrb0 @ xd @ (szDzizrdt0 @ xd))))),
% 31.94/5.18 inference('demod', [status(thm)], [zip_derived_cl417, zip_derived_cl403])).
% 31.94/5.18 thf(zip_derived_cl1986, plain,
% 31.94/5.18 ( (aElementOf0 @ (sk__43 @ sk__45) @ szNzAzT0)),
% 31.94/5.18 inference('sup-', [status(thm)], [zip_derived_cl1506, zip_derived_cl1728])).
% 31.94/5.18 thf(mZeroLess, axiom,
% 31.94/5.18 (![W0:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W0 @ szNzAzT0 ) => ( sdtlseqdt0 @ sz00 @ W0 ) ))).
% 31.94/5.18 thf(zip_derived_cl53, plain,
% 31.94/5.18 (![X0 : $i]:
% 31.94/5.18 ( (sdtlseqdt0 @ sz00 @ X0) | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 31.94/5.18 inference('cnf', [status(esa)], [mZeroLess])).
% 31.94/5.18 thf(zip_derived_cl2009, plain, ( (sdtlseqdt0 @ sz00 @ (sk__43 @ sk__45))),
% 31.94/5.18 inference('sup-', [status(thm)], [zip_derived_cl1986, zip_derived_cl53])).
% 31.94/5.18 thf(zip_derived_cl1986, plain,
% 31.94/5.18 ( (aElementOf0 @ (sk__43 @ sk__45) @ szNzAzT0)),
% 31.94/5.18 inference('sup-', [status(thm)], [zip_derived_cl1506, zip_derived_cl1728])).
% 31.94/5.18 thf(m__4660, axiom,
% 31.94/5.18 (( ![W0:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 31.94/5.18 ( ( aElementOf0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 31.94/5.18 ( ![W1:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 31.94/5.18 ( sdtlseqdt0 @ ( sdtlpdtrp0 @ xe @ W0 ) @ W1 ) ) ) &
% 31.94/5.18 ( ( sdtlpdtrp0 @ xe @ W0 ) =
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 31.94/5.18 ( ( szDzozmdt0 @ xe ) = ( szNzAzT0 ) ) & ( aFunction0 @ xe ))).
% 31.94/5.18 thf(zip_derived_cl399, plain,
% 31.94/5.18 (![X0 : $i]:
% 31.94/5.18 ( (aElementOf0 @ (sdtlpdtrp0 @ xe @ X0) @ (sdtlpdtrp0 @ xN @ X0))
% 31.94/5.18 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 31.94/5.18 inference('cnf', [status(esa)], [m__4660])).
% 31.94/5.18 thf(zip_derived_cl2029, plain,
% 31.94/5.18 ( (aElementOf0 @ (sdtlpdtrp0 @ xe @ (sk__43 @ sk__45)) @
% 31.94/5.18 (sdtlpdtrp0 @ xN @ (sk__43 @ sk__45)))),
% 31.94/5.18 inference('sup-', [status(thm)], [zip_derived_cl1986, zip_derived_cl399])).
% 31.94/5.18 thf(zip_derived_cl438, plain, ( (aElementOf0 @ sk__45 @ xO)),
% 31.94/5.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.94/5.18 thf(zip_derived_cl425, plain,
% 31.94/5.18 (![X0 : $i]:
% 31.94/5.18 (((sdtlpdtrp0 @ xe @ (sk__43 @ X0)) = (X0))
% 31.94/5.18 | ~ (aElementOf0 @ X0 @ xO))),
% 31.94/5.18 inference('cnf', [status(esa)], [m__4891])).
% 31.94/5.18 thf(zip_derived_cl1023, plain,
% 31.94/5.18 (((sdtlpdtrp0 @ xe @ (sk__43 @ sk__45)) = (sk__45))),
% 31.94/5.18 inference('sup-', [status(thm)], [zip_derived_cl438, zip_derived_cl425])).
% 31.94/5.18 thf(zip_derived_cl2040, plain,
% 31.94/5.18 ( (aElementOf0 @ sk__45 @ (sdtlpdtrp0 @ xN @ (sk__43 @ sk__45)))),
% 31.94/5.18 inference('demod', [status(thm)],
% 31.94/5.18 [zip_derived_cl2029, zip_derived_cl1023])).
% 31.94/5.18 thf(m__3754, axiom,
% 31.94/5.18 (![W0:$i,W1:$i]:
% 31.94/5.18 ( ( ( aElementOf0 @ W0 @ szNzAzT0 ) & ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 31.94/5.18 ( ( sdtlseqdt0 @ W1 @ W0 ) =>
% 31.94/5.18 ( ( ![W2:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 31.94/5.18 ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) &
% 31.94/5.18 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ ( sdtlpdtrp0 @ xN @ W1 ) ) ) ) ))).
% 31.94/5.18 thf(zip_derived_cl237, plain,
% 31.94/5.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.94/5.18 (~ (aElementOf0 @ X0 @ szNzAzT0)
% 31.94/5.18 | ~ (aElementOf0 @ X1 @ szNzAzT0)
% 31.94/5.18 | ~ (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X0))
% 31.94/5.18 | (aElementOf0 @ X2 @ (sdtlpdtrp0 @ xN @ X1))
% 31.94/5.18 | ~ (sdtlseqdt0 @ X1 @ X0))),
% 31.94/5.18 inference('cnf', [status(esa)], [m__3754])).
% 31.94/5.18 thf(zip_derived_cl9400, plain,
% 31.94/5.18 (![X0 : $i]:
% 31.94/5.18 (~ (sdtlseqdt0 @ X0 @ (sk__43 @ sk__45))
% 31.94/5.18 | (aElementOf0 @ sk__45 @ (sdtlpdtrp0 @ xN @ X0))
% 31.94/5.18 | ~ (aElementOf0 @ X0 @ szNzAzT0)
% 31.94/5.18 | ~ (aElementOf0 @ (sk__43 @ sk__45) @ szNzAzT0))),
% 31.94/5.18 inference('sup-', [status(thm)], [zip_derived_cl2040, zip_derived_cl237])).
% 31.94/5.18 thf(zip_derived_cl1986, plain,
% 31.94/5.18 ( (aElementOf0 @ (sk__43 @ sk__45) @ szNzAzT0)),
% 31.94/5.18 inference('sup-', [status(thm)], [zip_derived_cl1506, zip_derived_cl1728])).
% 31.94/5.18 thf(zip_derived_cl9405, plain,
% 31.94/5.18 (![X0 : $i]:
% 31.94/5.18 (~ (sdtlseqdt0 @ X0 @ (sk__43 @ sk__45))
% 31.94/5.18 | (aElementOf0 @ sk__45 @ (sdtlpdtrp0 @ xN @ X0))
% 31.94/5.18 | ~ (aElementOf0 @ X0 @ szNzAzT0))),
% 31.94/5.18 inference('demod', [status(thm)],
% 31.94/5.18 [zip_derived_cl9400, zip_derived_cl1986])).
% 31.94/5.18 thf(zip_derived_cl25465, plain,
% 31.94/5.18 ((~ (aElementOf0 @ sz00 @ szNzAzT0)
% 31.94/5.18 | (aElementOf0 @ sk__45 @ (sdtlpdtrp0 @ xN @ sz00)))),
% 31.94/5.18 inference('sup-', [status(thm)], [zip_derived_cl2009, zip_derived_cl9405])).
% 31.94/5.18 thf(mZeroNum, axiom, (aElementOf0 @ sz00 @ szNzAzT0)).
% 31.94/5.18 thf(zip_derived_cl45, plain, ( (aElementOf0 @ sz00 @ szNzAzT0)),
% 31.94/5.18 inference('cnf', [status(esa)], [mZeroNum])).
% 31.94/5.18 thf(m__3623, axiom,
% 31.94/5.18 (( aFunction0 @ xN ) & ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) &
% 31.94/5.18 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 31.94/5.18 ( ![W0:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 31.94/5.18 ( ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 31.94/5.18 ( ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) |
% 31.94/5.18 ( ( ![W1:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 31.94/5.18 ( aElementOf0 @ W1 @ szNzAzT0 ) ) ) &
% 31.94/5.18 ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) =>
% 31.94/5.18 ( ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 31.94/5.18 ( aSubsetOf0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 31.94/5.18 ( sdtmndt0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ W0 ) @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 31.94/5.18 ( ![W1:$i]:
% 31.94/5.18 ( ( aElementOf0 @
% 31.94/5.18 W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 31.94/5.18 ( aElementOf0 @
% 31.94/5.18 W1 @
% 31.94/5.18 ( sdtmndt0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ W0 ) @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 31.94/5.18 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 31.94/5.18 ( ![W1:$i]:
% 31.94/5.18 ( ( aElementOf0 @
% 31.94/5.18 W1 @
% 31.94/5.18 ( sdtmndt0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ W0 ) @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 31.94/5.18 ( ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) &
% 31.94/5.18 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 31.94/5.18 ( aElement0 @ W1 ) ) ) ) &
% 31.94/5.18 ( aSet0 @
% 31.94/5.18 ( sdtmndt0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ W0 ) @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 31.94/5.18 ( ![W1:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 31.94/5.18 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 31.94/5.18 ( aElementOf0 @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ))).
% 31.94/5.18 thf(zf_stmt_1, type, zip_tseitin_23 : $i > $o).
% 31.94/5.18 thf(zf_stmt_2, axiom,
% 31.94/5.18 (![W0:$i]:
% 31.94/5.18 ( ( zip_tseitin_23 @ W0 ) =>
% 31.94/5.18 ( ( aElementOf0 @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 31.94/5.18 ( ![W1:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 31.94/5.18 ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) @ W1 ) ) ) &
% 31.94/5.18 ( aSet0 @
% 31.94/5.18 ( sdtmndt0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ W0 ) @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 31.94/5.18 ( ![W1:$i]: ( zip_tseitin_22 @ W1 @ W0 ) ) &
% 31.94/5.18 ( aSet0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) &
% 31.94/5.18 ( ![W1:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) =>
% 31.94/5.18 ( aElementOf0 @
% 31.94/5.18 W1 @
% 31.94/5.18 ( sdtmndt0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ W0 ) @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ) ) &
% 31.94/5.18 ( aSubsetOf0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) @
% 31.94/5.18 ( sdtmndt0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ W0 ) @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) &
% 31.94/5.18 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ ( szszuzczcdt0 @ W0 ) ) ) ) ))).
% 31.94/5.18 thf(zf_stmt_3, type, zip_tseitin_22 : $i > $i > $o).
% 31.94/5.18 thf(zf_stmt_4, axiom,
% 31.94/5.18 (![W1:$i,W0:$i]:
% 31.94/5.18 ( ( zip_tseitin_22 @ W1 @ W0 ) =>
% 31.94/5.18 ( ( aElementOf0 @
% 31.94/5.18 W1 @
% 31.94/5.18 ( sdtmndt0 @
% 31.94/5.18 ( sdtlpdtrp0 @ xN @ W0 ) @
% 31.94/5.18 ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) <=>
% 31.94/5.18 ( zip_tseitin_21 @ W1 @ W0 ) ) ))).
% 31.94/5.18 thf(zf_stmt_5, type, zip_tseitin_21 : $i > $i > $o).
% 31.94/5.18 thf(zf_stmt_6, axiom,
% 31.94/5.18 (![W1:$i,W0:$i]:
% 31.94/5.18 ( ( zip_tseitin_21 @ W1 @ W0 ) <=>
% 31.94/5.18 ( ( aElement0 @ W1 ) &
% 31.94/5.18 ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 31.94/5.18 ( ( W1 ) != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ))).
% 31.94/5.18 thf(zf_stmt_7, type, zip_tseitin_20 : $i > $o).
% 31.94/5.18 thf(zf_stmt_8, axiom,
% 31.94/5.18 (![W0:$i]:
% 31.94/5.18 ( ( ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) &
% 31.94/5.18 ( ![W1:$i]: ( zip_tseitin_19 @ W1 @ W0 ) ) ) |
% 31.94/5.18 ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 ) ) =>
% 31.94/5.18 ( zip_tseitin_20 @ W0 ) ))).
% 31.94/5.18 thf(zf_stmt_9, type, zip_tseitin_19 : $i > $i > $o).
% 31.94/5.18 thf(zf_stmt_10, axiom,
% 31.94/5.18 (![W1:$i,W0:$i]:
% 31.94/5.18 ( ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) ) =>
% 31.94/5.18 ( aElementOf0 @ W1 @ szNzAzT0 ) ) =>
% 31.94/5.18 ( zip_tseitin_19 @ W1 @ W0 ) ))).
% 31.94/5.18 thf(zf_stmt_11, axiom,
% 31.94/5.18 (( ![W0:$i]:
% 31.94/5.18 ( ( aElementOf0 @ W0 @ szNzAzT0 ) =>
% 31.94/5.18 ( ( ( zip_tseitin_20 @ W0 ) &
% 31.94/5.18 ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) =>
% 31.94/5.18 ( zip_tseitin_23 @ W0 ) ) ) ) &
% 31.94/5.18 ( ( sdtlpdtrp0 @ xN @ sz00 ) = ( xS ) ) &
% 31.94/5.18 ( ( szDzozmdt0 @ xN ) = ( szNzAzT0 ) ) & ( aFunction0 @ xN ))).
% 31.94/5.18 thf(zip_derived_cl231, plain, (((sdtlpdtrp0 @ xN @ sz00) = (xS))),
% 31.94/5.18 inference('cnf', [status(esa)], [zf_stmt_11])).
% 31.94/5.18 thf(zip_derived_cl437, plain, (~ (aElementOf0 @ sk__45 @ xS)),
% 31.94/5.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.94/5.18 thf(zip_derived_cl25470, plain, ($false),
% 31.94/5.18 inference('demod', [status(thm)],
% 31.94/5.18 [zip_derived_cl25465, zip_derived_cl45, zip_derived_cl231,
% 31.94/5.18 zip_derived_cl437])).
% 31.94/5.18
% 31.94/5.18 % SZS output end Refutation
% 31.94/5.18
% 31.94/5.18
% 31.94/5.18 % Terminating...
% 31.94/5.27 % Runner terminated.
% 31.94/5.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------