%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM534+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.RMPE19n3pd true
% Computer : n018.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 04:47:21 PM UTC 2025
% Result : Theorem 0.56s 0.90s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM534+2 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.RMPE19n3pd true
% 0.13/0.34 % Computer : n018.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 16:37:53 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
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.90 % Solved by fo/fo6_bce.sh.
% 0.56/0.90 % BCE start: 56
% 0.56/0.90 % BCE eliminated: 4
% 0.56/0.90 % PE start: 52
% 0.56/0.90 logic: eq
% 0.56/0.90 % PE eliminated: 6
% 0.56/0.90 % done 185 iterations in 0.174s
% 0.56/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.90 % SZS output start Refutation
% 0.56/0.90 thf(aSet0_type, type, aSet0: $i > $o).
% 0.56/0.90 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $o).
% 0.56/0.90 thf(sk__1_type, type, sk__1: $i > $i > $i).
% 0.56/0.90 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $o).
% 0.56/0.90 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 0.56/0.90 thf(aElement0_type, type, aElement0: $i > $o).
% 0.56/0.90 thf(xS_type, type, xS: $i).
% 0.56/0.90 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 0.56/0.90 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 0.56/0.90 thf(xx_type, type, xx: $i).
% 0.56/0.90 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 0.56/0.90 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 0.56/0.90 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 0.56/0.90 thf(mDefSub, axiom,
% 0.56/0.90 (![W0:$i]:
% 0.56/0.90 ( ( aSet0 @ W0 ) =>
% 0.56/0.90 ( ![W1:$i]:
% 0.56/0.90 ( ( aSubsetOf0 @ W1 @ W0 ) <=>
% 0.56/0.90 ( ( aSet0 @ W1 ) &
% 0.56/0.90 ( ![W2:$i]:
% 0.56/0.90 ( ( aElementOf0 @ W2 @ W1 ) => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl12, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | (aElementOf0 @ (sk__1 @ X0 @ X1) @ X0)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(mDefDiff, axiom,
% 0.56/0.90 (![W0:$i,W1:$i]:
% 0.56/0.90 ( ( ( aElement0 @ W1 ) & ( aSet0 @ W0 ) ) =>
% 0.56/0.90 ( ![W2:$i]:
% 0.56/0.90 ( ( ( W2 ) = ( sdtmndt0 @ W0 @ W1 ) ) <=>
% 0.56/0.90 ( ( ![W3:$i]:
% 0.56/0.90 ( ( aElementOf0 @ W3 @ W2 ) <=>
% 0.56/0.90 ( ( ( W3 ) != ( W1 ) ) & ( aElementOf0 @ W3 @ W0 ) &
% 0.56/0.90 ( aElement0 @ W3 ) ) ) ) &
% 0.56/0.90 ( aSet0 @ W2 ) ) ) ) ))).
% 0.56/0.90 thf(zf_stmt_0, axiom,
% 0.56/0.90 (![W3:$i,W1:$i,W0:$i]:
% 0.56/0.90 ( ( zip_tseitin_1 @ W3 @ W1 @ W0 ) <=>
% 0.56/0.90 ( ( aElement0 @ W3 ) & ( aElementOf0 @ W3 @ W0 ) & ( ( W3 ) != ( W1 ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl31, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.90 ( (zip_tseitin_1 @ X0 @ X1 @ X2)
% 0.56/0.90 | ((X0) = (X1))
% 0.56/0.90 | ~ (aElementOf0 @ X0 @ X2)
% 0.56/0.90 | ~ (aElement0 @ X0))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.90 thf(zf_stmt_1, type, zip_tseitin_1 : $i > $i > $i > $o).
% 0.56/0.90 thf(zf_stmt_2, axiom,
% 0.56/0.90 (![W0:$i,W1:$i]:
% 0.56/0.90 ( ( ( aSet0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 0.56/0.90 ( ![W2:$i]:
% 0.56/0.90 ( ( ( W2 ) = ( sdtmndt0 @ W0 @ W1 ) ) <=>
% 0.56/0.90 ( ( aSet0 @ W2 ) &
% 0.56/0.90 ( ![W3:$i]:
% 0.56/0.90 ( ( aElementOf0 @ W3 @ W2 ) <=> ( zip_tseitin_1 @ W3 @ W1 @ W0 ) ) ) ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl34, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | ~ (aElement0 @ X1)
% 0.56/0.90 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0)
% 0.56/0.90 | (aElementOf0 @ X2 @ X3)
% 0.56/0.90 | ((X3) != (sdtmndt0 @ X0 @ X1)))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.90 thf(zip_derived_cl612, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.90 ( (aElementOf0 @ X2 @ (sdtmndt0 @ X1 @ X0))
% 0.56/0.90 | ~ (zip_tseitin_1 @ X2 @ X0 @ X1)
% 0.56/0.90 | ~ (aElement0 @ X0)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('eq_res', [status(thm)], [zip_derived_cl34])).
% 0.56/0.90 thf(zip_derived_cl613, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.90 (~ (aElement0 @ X2)
% 0.56/0.90 | ~ (aElementOf0 @ X2 @ X0)
% 0.56/0.90 | ((X2) = (X1))
% 0.56/0.90 | (aElementOf0 @ X2 @ (sdtmndt0 @ X0 @ X1))
% 0.56/0.90 | ~ (aElement0 @ X1)
% 0.56/0.90 | ~ (aSet0 @ X0))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl612])).
% 0.56/0.90 thf(mEOfElem, axiom,
% 0.56/0.90 (![W0:$i]:
% 0.56/0.90 ( ( aSet0 @ W0 ) =>
% 0.56/0.90 ( ![W1:$i]: ( ( aElementOf0 @ W1 @ W0 ) => ( aElement0 @ W1 ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl2, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mEOfElem])).
% 0.56/0.90 thf(zip_derived_cl614, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | ~ (aElement0 @ X1)
% 0.56/0.90 | (aElementOf0 @ X2 @ (sdtmndt0 @ X0 @ X1))
% 0.56/0.90 | ((X2) = (X1))
% 0.56/0.90 | ~ (aElementOf0 @ X2 @ X0))),
% 0.56/0.90 inference('clc', [status(thm)], [zip_derived_cl613, zip_derived_cl2])).
% 0.56/0.90 thf(m__, conjecture,
% 0.56/0.90 (( ( ![W0:$i]:
% 0.56/0.90 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) <=>
% 0.56/0.90 ( ( ( W0 ) != ( xx ) ) & ( aElementOf0 @ W0 @ xS ) &
% 0.56/0.90 ( aElement0 @ W0 ) ) ) ) &
% 0.56/0.90 ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) ) =>
% 0.56/0.90 ( ( ( ![W0:$i]:
% 0.56/0.90 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) <=>
% 0.56/0.90 ( ( ( ( W0 ) = ( xx ) ) |
% 0.56/0.90 ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) ) &
% 0.56/0.90 ( aElement0 @ W0 ) ) ) ) &
% 0.56/0.90 ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) =>
% 0.56/0.90 ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) = ( xS ) ) ))).
% 0.56/0.90 thf(zf_stmt_3, axiom,
% 0.56/0.90 (![W0:$i]:
% 0.56/0.90 ( ( zip_tseitin_3 @ W0 ) <=>
% 0.56/0.90 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) | ( ( W0 ) = ( xx ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl44, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ( (zip_tseitin_3 @ X0) | ~ (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.90 thf(zf_stmt_4, axiom,
% 0.56/0.90 (![W0:$i]:
% 0.56/0.90 ( ( zip_tseitin_4 @ W0 ) <=>
% 0.56/0.90 ( ( aElement0 @ W0 ) & ( zip_tseitin_3 @ W0 ) ) ))).
% 0.56/0.90 thf(zip_derived_cl48, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_3 @ X0) | ~ (aElement0 @ X0))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.90 thf(zip_derived_cl332, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aElement0 @ X0)
% 0.56/0.90 | (zip_tseitin_4 @ X0))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl44, zip_derived_cl48])).
% 0.56/0.90 thf(zf_stmt_5, type, zip_tseitin_4 : $i > $o).
% 0.56/0.90 thf(zf_stmt_6, type, zip_tseitin_3 : $i > $o).
% 0.56/0.90 thf(zf_stmt_7, type, zip_tseitin_2 : $i > $o).
% 0.56/0.90 thf(zf_stmt_8, axiom,
% 0.56/0.90 (![W0:$i]:
% 0.56/0.90 ( ( zip_tseitin_2 @ W0 ) <=>
% 0.56/0.90 ( ( aElement0 @ W0 ) & ( aElementOf0 @ W0 @ xS ) & ( ( W0 ) != ( xx ) ) ) ))).
% 0.56/0.90 thf(zf_stmt_9, conjecture,
% 0.56/0.90 (( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) &
% 0.56/0.90 ( ![W0:$i]:
% 0.56/0.90 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) <=>
% 0.56/0.90 ( zip_tseitin_2 @ W0 ) ) ) ) =>
% 0.56/0.90 ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) &
% 0.56/0.90 ( ![W0:$i]:
% 0.56/0.90 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) <=>
% 0.56/0.90 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 0.56/0.90 ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) = ( xS ) ) ))).
% 0.56/0.90 thf(zf_stmt_10, negated_conjecture,
% 0.56/0.90 (~( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) &
% 0.56/0.90 ( ![W0:$i]:
% 0.56/0.90 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) <=>
% 0.56/0.90 ( zip_tseitin_2 @ W0 ) ) ) ) =>
% 0.56/0.90 ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) &
% 0.56/0.90 ( ![W0:$i]:
% 0.56/0.90 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) <=>
% 0.56/0.90 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 0.56/0.90 ( ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) = ( xS ) ) ) )),
% 0.56/0.90 inference('cnf.neg', [status(esa)], [zf_stmt_9])).
% 0.56/0.90 thf(zip_derived_cl53, plain,
% 0.56/0.90 (![X2 : $i]:
% 0.56/0.90 ( (aElementOf0 @ X2 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (zip_tseitin_4 @ X2))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl346, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElement0 @ X0)
% 0.56/0.90 | ~ (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl332, zip_derived_cl53])).
% 0.56/0.90 thf(zip_derived_cl51, plain,
% 0.56/0.90 (![X1 : $i]:
% 0.56/0.90 ( (zip_tseitin_2 @ X1) | ~ (aElementOf0 @ X1 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl39, plain,
% 0.56/0.90 (![X0 : $i]: ( (aElement0 @ X0) | ~ (zip_tseitin_2 @ X0))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.90 thf(zip_derived_cl338, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx)) | (aElement0 @ X0))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl51, zip_derived_cl39])).
% 0.56/0.90 thf(zip_derived_cl498, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ( (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('clc', [status(thm)], [zip_derived_cl346, zip_derived_cl338])).
% 0.56/0.90 thf(zip_derived_cl11, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | ~ (aElementOf0 @ (sk__1 @ X0 @ X1) @ X1)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(zip_derived_cl502, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElementOf0 @
% 0.56/0.90 (sk__1 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aSet0 @ X0)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl498, zip_derived_cl11])).
% 0.56/0.90 thf(zip_derived_cl55, plain,
% 0.56/0.90 ( (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl504, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElementOf0 @
% 0.56/0.90 (sk__1 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aSet0 @ X0)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl502, zip_derived_cl55])).
% 0.56/0.90 thf(zip_derived_cl620, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElementOf0 @
% 0.56/0.90 (sk__1 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)) @ xS)
% 0.56/0.90 | ((sk__1 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)) = (xx))
% 0.56/0.90 | ~ (aElement0 @ xx)
% 0.56/0.90 | ~ (aSet0 @ xS)
% 0.56/0.90 | ~ (aSet0 @ X0)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl614, zip_derived_cl504])).
% 0.56/0.90 thf(m__617_02, axiom, (aElementOf0 @ xx @ xS)).
% 0.56/0.90 thf(zip_derived_cl38, plain, ( (aElementOf0 @ xx @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617_02])).
% 0.56/0.90 thf(zip_derived_cl2, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mEOfElem])).
% 0.56/0.90 thf(zip_derived_cl447, plain, (( (aElement0 @ xx) | ~ (aSet0 @ xS))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 0.56/0.90 thf(m__617, axiom, (aSet0 @ xS)).
% 0.56/0.90 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617])).
% 0.56/0.90 thf(zip_derived_cl448, plain, ( (aElement0 @ xx)),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl447, zip_derived_cl37])).
% 0.56/0.90 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617])).
% 0.56/0.90 thf(zip_derived_cl625, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElementOf0 @
% 0.56/0.90 (sk__1 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)) @ xS)
% 0.56/0.90 | ((sk__1 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)) = (xx))
% 0.56/0.90 | ~ (aSet0 @ X0)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)],
% 0.56/0.90 [zip_derived_cl620, zip_derived_cl448, zip_derived_cl37])).
% 0.56/0.90 thf(zip_derived_cl941, plain,
% 0.56/0.90 ((~ (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (aSet0 @ xS)
% 0.56/0.90 | ((sk__1 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)) = (xx))
% 0.56/0.90 | ~ (aSet0 @ xS)
% 0.56/0.90 | (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl625])).
% 0.56/0.90 thf(zip_derived_cl55, plain,
% 0.56/0.90 ( (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617])).
% 0.56/0.90 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617])).
% 0.56/0.90 thf(zip_derived_cl943, plain,
% 0.56/0.90 (( (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ((sk__1 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)) = (xx))
% 0.56/0.90 | (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)],
% 0.56/0.90 [zip_derived_cl941, zip_derived_cl55, zip_derived_cl37,
% 0.56/0.90 zip_derived_cl37])).
% 0.56/0.90 thf(zip_derived_cl944, plain,
% 0.56/0.90 ((((sk__1 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)) = (xx))
% 0.56/0.90 | (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('simplify', [status(thm)], [zip_derived_cl943])).
% 0.56/0.90 thf(zip_derived_cl11, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | ~ (aElementOf0 @ (sk__1 @ X0 @ X1) @ X1)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(zip_derived_cl948, plain,
% 0.56/0.90 (( (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (aSet0 @ xS)
% 0.56/0.90 | ~ (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl944, zip_derived_cl11])).
% 0.56/0.90 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617])).
% 0.56/0.90 thf(zip_derived_cl45, plain,
% 0.56/0.90 (![X0 : $i]: ( (zip_tseitin_3 @ X0) | ((X0) != (xx)))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.90 thf(zip_derived_cl48, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_3 @ X0) | ~ (aElement0 @ X0))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.90 thf(zip_derived_cl333, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (((X0) != (xx)) | ~ (aElement0 @ X0) | (zip_tseitin_4 @ X0))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl45, zip_derived_cl48])).
% 0.56/0.90 thf(zip_derived_cl53, plain,
% 0.56/0.90 (![X2 : $i]:
% 0.56/0.90 ( (aElementOf0 @ X2 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (zip_tseitin_4 @ X2))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl349, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElement0 @ X0)
% 0.56/0.90 | ((X0) != (xx))
% 0.56/0.90 | (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl333, zip_derived_cl53])).
% 0.56/0.90 thf(zip_derived_cl12, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | (aElementOf0 @ (sk__1 @ X0 @ X1) @ X0)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(zip_derived_cl54, plain,
% 0.56/0.90 (![X3 : $i]:
% 0.56/0.90 ( (zip_tseitin_4 @ X3)
% 0.56/0.90 | ~ (aElementOf0 @ X3 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl47, plain,
% 0.56/0.90 (![X0 : $i]: ( (zip_tseitin_3 @ X0) | ~ (zip_tseitin_4 @ X0))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.90 thf(zip_derived_cl43, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (((X0) = (xx))
% 0.56/0.90 | (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (zip_tseitin_3 @ X0))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.90 thf(zip_derived_cl331, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (zip_tseitin_4 @ X0)
% 0.56/0.90 | (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ((X0) = (xx)))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl47, zip_derived_cl43])).
% 0.56/0.90 thf(zip_derived_cl344, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ((X0) = (xx))
% 0.56/0.90 | (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl54, zip_derived_cl331])).
% 0.56/0.90 thf(zip_derived_cl477, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0)
% 0.56/0.90 | ~ (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ((sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0) = (xx))
% 0.56/0.90 | (aElementOf0 @
% 0.56/0.90 (sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl344])).
% 0.56/0.90 thf(zip_derived_cl55, plain,
% 0.56/0.90 ( (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl479, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0)
% 0.56/0.90 | ((sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0) = (xx))
% 0.56/0.90 | (aElementOf0 @
% 0.56/0.90 (sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl55])).
% 0.56/0.90 thf(zip_derived_cl11, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | ~ (aElementOf0 @ (sk__1 @ X0 @ X1) @ X1)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(zip_derived_cl676, plain,
% 0.56/0.90 ((((sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 = (xx))
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl479, zip_derived_cl11])).
% 0.56/0.90 thf(zip_derived_cl49, plain, ( (aSet0 @ (sdtmndt0 @ xS @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl55, plain,
% 0.56/0.90 ( (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl49, plain, ( (aSet0 @ (sdtmndt0 @ xS @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl679, plain,
% 0.56/0.90 ((((sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 = (xx))
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)],
% 0.56/0.90 [zip_derived_cl676, zip_derived_cl49, zip_derived_cl55,
% 0.56/0.90 zip_derived_cl49])).
% 0.56/0.90 thf(zip_derived_cl680, plain,
% 0.56/0.90 (( (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ((sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx)) = (xx)))),
% 0.56/0.90 inference('simplify', [status(thm)], [zip_derived_cl679])).
% 0.56/0.90 thf(zip_derived_cl12, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | (aElementOf0 @ (sk__1 @ X0 @ X1) @ X0)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(zip_derived_cl706, plain,
% 0.56/0.90 (( (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('s_sup+', [status(thm)], [zip_derived_cl680, zip_derived_cl12])).
% 0.56/0.90 thf(zip_derived_cl55, plain,
% 0.56/0.90 ( (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl49, plain, ( (aSet0 @ (sdtmndt0 @ xS @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl711, plain,
% 0.56/0.90 (( (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)],
% 0.56/0.90 [zip_derived_cl706, zip_derived_cl55, zip_derived_cl49])).
% 0.56/0.90 thf(zip_derived_cl712, plain,
% 0.56/0.90 (( (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('simplify', [status(thm)], [zip_derived_cl711])).
% 0.56/0.90 thf(zip_derived_cl13, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.90 (~ (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | (aElementOf0 @ X2 @ X1)
% 0.56/0.90 | ~ (aElementOf0 @ X2 @ X0)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(zip_derived_cl717, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ( (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl712, zip_derived_cl13])).
% 0.56/0.90 thf(zip_derived_cl49, plain, ( (aSet0 @ (sdtmndt0 @ xS @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl723, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ( (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl717, zip_derived_cl49])).
% 0.56/0.90 thf(zip_derived_cl857, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (((X0) != (xx))
% 0.56/0.90 | ~ (aElement0 @ X0)
% 0.56/0.90 | (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl349, zip_derived_cl723])).
% 0.56/0.90 thf(zip_derived_cl51, plain,
% 0.56/0.90 (![X1 : $i]:
% 0.56/0.90 ( (zip_tseitin_2 @ X1) | ~ (aElementOf0 @ X1 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl41, plain,
% 0.56/0.90 (![X0 : $i]: (((X0) != (xx)) | ~ (zip_tseitin_2 @ X0))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.90 thf(zip_derived_cl340, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx)) | ((X0) != (xx)))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl51, zip_derived_cl41])).
% 0.56/0.90 thf(zip_derived_cl878, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 ( (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (aElement0 @ X0)
% 0.56/0.90 | ((X0) != (xx)))),
% 0.56/0.90 inference('clc', [status(thm)], [zip_derived_cl857, zip_derived_cl340])).
% 0.56/0.90 thf(zip_derived_cl879, plain,
% 0.56/0.90 ((~ (aElement0 @ xx)
% 0.56/0.90 | (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('eq_res', [status(thm)], [zip_derived_cl878])).
% 0.56/0.90 thf(zip_derived_cl448, plain, ( (aElement0 @ xx)),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl447, zip_derived_cl37])).
% 0.56/0.90 thf(zip_derived_cl880, plain,
% 0.56/0.90 ( (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl879, zip_derived_cl448])).
% 0.56/0.90 thf(zip_derived_cl55, plain,
% 0.56/0.90 ( (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl955, plain,
% 0.56/0.90 (( (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)],
% 0.56/0.90 [zip_derived_cl948, zip_derived_cl37, zip_derived_cl880,
% 0.56/0.90 zip_derived_cl55])).
% 0.56/0.90 thf(zip_derived_cl956, plain,
% 0.56/0.90 ( (aSubsetOf0 @ xS @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('simplify', [status(thm)], [zip_derived_cl955])).
% 0.56/0.90 thf(mSubASymm, axiom,
% 0.56/0.90 (![W0:$i,W1:$i]:
% 0.56/0.90 ( ( ( aSet0 @ W0 ) & ( aSet0 @ W1 ) ) =>
% 0.56/0.90 ( ( ( aSubsetOf0 @ W0 @ W1 ) & ( aSubsetOf0 @ W1 @ W0 ) ) =>
% 0.56/0.90 ( ( W0 ) = ( W1 ) ) ) ))).
% 0.56/0.90 thf(zip_derived_cl17, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | ~ (aSet0 @ X1)
% 0.56/0.90 | ((X0) = (X1))
% 0.56/0.90 | ~ (aSubsetOf0 @ X1 @ X0)
% 0.56/0.90 | ~ (aSubsetOf0 @ X0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mSubASymm])).
% 0.56/0.90 thf(zip_derived_cl14, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSubsetOf0 @ X0 @ X1) | (aSet0 @ X0) | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(zip_derived_cl494, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | ~ (aSubsetOf0 @ X1 @ X0)
% 0.56/0.90 | ((X0) = (X1))
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('clc', [status(thm)], [zip_derived_cl17, zip_derived_cl14])).
% 0.56/0.90 thf(zip_derived_cl972, plain,
% 0.56/0.90 ((~ (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS)
% 0.56/0.90 | ((xS) = (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl956, zip_derived_cl494])).
% 0.56/0.90 thf(zip_derived_cl55, plain,
% 0.56/0.90 ( (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl976, plain,
% 0.56/0.90 ((~ (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS)
% 0.56/0.90 | ((xS) = (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl972, zip_derived_cl55])).
% 0.56/0.90 thf(zip_derived_cl52, plain,
% 0.56/0.90 (((sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) != (xS))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl977, plain,
% 0.56/0.90 (~ (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS)),
% 0.56/0.90 inference('simplify_reflect-', [status(thm)],
% 0.56/0.90 [zip_derived_cl976, zip_derived_cl52])).
% 0.56/0.90 thf(zip_derived_cl479, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0)
% 0.56/0.90 | ((sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0) = (xx))
% 0.56/0.90 | (aElementOf0 @
% 0.56/0.90 (sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0) @
% 0.56/0.90 (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl477, zip_derived_cl55])).
% 0.56/0.90 thf(zip_derived_cl51, plain,
% 0.56/0.90 (![X1 : $i]:
% 0.56/0.90 ( (zip_tseitin_2 @ X1) | ~ (aElementOf0 @ X1 @ (sdtmndt0 @ xS @ xx)))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl40, plain,
% 0.56/0.90 (![X0 : $i]: ( (aElementOf0 @ X0 @ xS) | ~ (zip_tseitin_2 @ X0))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.90 thf(zip_derived_cl339, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (~ (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 0.56/0.90 | (aElementOf0 @ X0 @ xS))),
% 0.56/0.90 inference('dp-resolution', [status(thm)],
% 0.56/0.90 [zip_derived_cl51, zip_derived_cl40])).
% 0.56/0.90 thf(zip_derived_cl675, plain,
% 0.56/0.90 (![X0 : $i]:
% 0.56/0.90 (((sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0) = (xx))
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0)
% 0.56/0.90 | ~ (aSet0 @ X0)
% 0.56/0.90 | (aElementOf0 @
% 0.56/0.90 (sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ X0) @ xS))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl479, zip_derived_cl339])).
% 0.56/0.90 thf(zip_derived_cl11, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | ~ (aElementOf0 @ (sk__1 @ X0 @ X1) @ X1)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(zip_derived_cl1098, plain,
% 0.56/0.90 ((~ (aSet0 @ xS)
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS)
% 0.56/0.90 | ((sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS) = (xx))
% 0.56/0.90 | ~ (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS)
% 0.56/0.90 | ~ (aSet0 @ xS))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl11])).
% 0.56/0.90 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617])).
% 0.56/0.90 thf(zip_derived_cl977, plain,
% 0.56/0.90 (~ (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS)),
% 0.56/0.90 inference('simplify_reflect-', [status(thm)],
% 0.56/0.90 [zip_derived_cl976, zip_derived_cl52])).
% 0.56/0.90 thf(zip_derived_cl55, plain,
% 0.56/0.90 ( (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl977, plain,
% 0.56/0.90 (~ (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS)),
% 0.56/0.90 inference('simplify_reflect-', [status(thm)],
% 0.56/0.90 [zip_derived_cl976, zip_derived_cl52])).
% 0.56/0.90 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617])).
% 0.56/0.90 thf(zip_derived_cl1106, plain,
% 0.56/0.90 (((sk__1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS) = (xx))),
% 0.56/0.90 inference('demod', [status(thm)],
% 0.56/0.90 [zip_derived_cl1098, zip_derived_cl37, zip_derived_cl977,
% 0.56/0.90 zip_derived_cl55, zip_derived_cl977, zip_derived_cl37])).
% 0.56/0.90 thf(zip_derived_cl11, plain,
% 0.56/0.90 (![X0 : $i, X1 : $i]:
% 0.56/0.90 (~ (aSet0 @ X0)
% 0.56/0.90 | ~ (aElementOf0 @ (sk__1 @ X0 @ X1) @ X1)
% 0.56/0.90 | (aSubsetOf0 @ X0 @ X1)
% 0.56/0.90 | ~ (aSet0 @ X1))),
% 0.56/0.90 inference('cnf', [status(esa)], [mDefSub])).
% 0.56/0.90 thf(zip_derived_cl1113, plain,
% 0.56/0.90 ((~ (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 0.56/0.90 | ~ (aElementOf0 @ xx @ xS)
% 0.56/0.90 | (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS)
% 0.56/0.90 | ~ (aSet0 @ xS))),
% 0.56/0.90 inference('s_sup-', [status(thm)], [zip_derived_cl1106, zip_derived_cl11])).
% 0.56/0.90 thf(zip_derived_cl55, plain,
% 0.56/0.90 ( (aSet0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.90 thf(zip_derived_cl38, plain, ( (aElementOf0 @ xx @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617_02])).
% 0.56/0.90 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 0.56/0.90 inference('cnf', [status(esa)], [m__617])).
% 0.56/0.90 thf(zip_derived_cl1119, plain,
% 0.56/0.90 ( (aSubsetOf0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx) @ xS)),
% 0.56/0.90 inference('demod', [status(thm)],
% 0.56/0.90 [zip_derived_cl1113, zip_derived_cl55, zip_derived_cl38,
% 0.56/0.90 zip_derived_cl37])).
% 0.56/0.90 thf(zip_derived_cl1125, plain, ($false),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl977, zip_derived_cl1119])).
% 0.56/0.90
% 0.56/0.90 % SZS output end Refutation
% 0.56/0.90
% 0.56/0.90
% 0.56/0.90 % Terminating...
% 1.65/0.94 % Runner terminated.
% 1.65/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------