%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM535+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.CkIEtP1b8v true
% Computer : n020.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 4.28s 1.24s
% Output : Refutation 4.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM535+2 : TPTP v9.2.0. Released v4.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CkIEtP1b8v true
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:40:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.59/0.66 % Total configuration time : 435
% 0.59/0.66 % Estimated wc time : 1092
% 0.59/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.83 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.28/1.24 % Solved by fo/fo6_bce.sh.
% 4.28/1.24 % BCE start: 130
% 4.28/1.24 % BCE eliminated: 4
% 4.28/1.24 % PE start: 126
% 4.28/1.24 logic: eq
% 4.28/1.24 % PE eliminated: 2
% 4.28/1.24 % done 366 iterations in 0.467s
% 4.28/1.24 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.28/1.24 % SZS output start Refutation
% 4.28/1.24 thf(aSet0_type, type, aSet0: $i > $o).
% 4.28/1.24 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 4.28/1.24 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 4.28/1.24 thf(aElement0_type, type, aElement0: $i > $o).
% 4.28/1.24 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $o).
% 4.28/1.24 thf(xS_type, type, xS: $i).
% 4.28/1.24 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 4.28/1.24 thf(xx_type, type, xx: $i).
% 4.28/1.24 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 4.28/1.24 thf(sk__4_type, type, sk__4: $i).
% 4.28/1.24 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 4.28/1.24 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $o).
% 4.28/1.24 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 4.28/1.24 thf(sk__5_type, type, sk__5: $i).
% 4.28/1.24 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 4.28/1.24 thf(m__, conjecture,
% 4.28/1.24 (( ( ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) <=>
% 4.28/1.24 ( ( ( W0 ) != ( xx ) ) & ( aElementOf0 @ W0 @ xS ) &
% 4.28/1.24 ( aElement0 @ W0 ) ) ) ) &
% 4.28/1.24 ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) ) =>
% 4.28/1.24 ( ( ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) <=>
% 4.28/1.24 ( ( ( ( W0 ) = ( xx ) ) |
% 4.28/1.24 ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) ) &
% 4.28/1.24 ( aElement0 @ W0 ) ) ) ) &
% 4.28/1.24 ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) =>
% 4.28/1.24 ( ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS ) |
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) =>
% 4.28/1.24 ( aElementOf0 @ W0 @ xS ) ) ) ) ) ) &
% 4.28/1.24 ( ( ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) <=>
% 4.28/1.24 ( ( ( W0 ) != ( xx ) ) & ( aElementOf0 @ W0 @ xS ) &
% 4.28/1.24 ( aElement0 @ W0 ) ) ) ) &
% 4.28/1.24 ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) ) =>
% 4.28/1.24 ( ( ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) <=>
% 4.28/1.24 ( ( ( ( W0 ) = ( xx ) ) |
% 4.28/1.24 ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) ) &
% 4.28/1.24 ( aElement0 @ W0 ) ) ) ) &
% 4.28/1.24 ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) =>
% 4.28/1.24 ( ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) |
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ xS ) =>
% 4.28/1.24 ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) ) ) ) ))).
% 4.28/1.24 thf(zf_stmt_0, type, zip_tseitin_4 : $i > $o).
% 4.28/1.24 thf(zf_stmt_1, axiom,
% 4.28/1.24 (![W0:$i]:
% 4.28/1.24 ( ( zip_tseitin_4 @ W0 ) <=>
% 4.28/1.24 ( ( aElement0 @ W0 ) & ( zip_tseitin_3 @ W0 ) ) ))).
% 4.28/1.24 thf(zf_stmt_2, type, zip_tseitin_3 : $i > $o).
% 4.28/1.24 thf(zf_stmt_3, axiom,
% 4.28/1.24 (![W0:$i]:
% 4.28/1.24 ( ( zip_tseitin_3 @ W0 ) <=>
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) | ( ( W0 ) = ( xx ) ) ) ))).
% 4.28/1.24 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $o).
% 4.28/1.24 thf(zf_stmt_5, axiom,
% 4.28/1.24 (![W0:$i]:
% 4.28/1.24 ( ( zip_tseitin_2 @ W0 ) <=>
% 4.28/1.24 ( ( aElement0 @ W0 ) & ( aElementOf0 @ W0 @ xS ) & ( ( W0 ) != ( xx ) ) ) ))).
% 4.28/1.24 thf(zf_stmt_6, conjecture,
% 4.28/1.24 (( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) &
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) <=>
% 4.28/1.24 ( zip_tseitin_2 @ W0 ) ) ) ) =>
% 4.28/1.24 ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) &
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) <=>
% 4.28/1.24 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 4.28/1.24 ( ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ xS ) =>
% 4.28/1.24 ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) ) |
% 4.28/1.24 ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) ) ) &
% 4.28/1.24 ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) &
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) <=>
% 4.28/1.24 ( zip_tseitin_2 @ W0 ) ) ) ) =>
% 4.28/1.24 ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) &
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) <=>
% 4.28/1.24 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 4.28/1.24 ( ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) =>
% 4.28/1.24 ( aElementOf0 @ W0 @ xS ) ) ) |
% 4.28/1.24 ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS ) ) ) ))).
% 4.28/1.24 thf(zf_stmt_7, negated_conjecture,
% 4.28/1.24 (~( ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) &
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) <=>
% 4.28/1.24 ( zip_tseitin_2 @ W0 ) ) ) ) =>
% 4.28/1.24 ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) &
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @
% 4.28/1.24 W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) <=>
% 4.28/1.24 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 4.28/1.24 ( ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ xS ) =>
% 4.28/1.24 ( aElementOf0 @
% 4.28/1.24 W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) ) |
% 4.28/1.24 ( aSubsetOf0 @ xS @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) ) ) ) &
% 4.28/1.24 ( ( ( aSet0 @ ( sdtmndt0 @ xS @ xx ) ) &
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ xS @ xx ) ) <=>
% 4.28/1.24 ( zip_tseitin_2 @ W0 ) ) ) ) =>
% 4.28/1.24 ( ( ( aSet0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) &
% 4.28/1.24 ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @
% 4.28/1.24 W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) <=>
% 4.28/1.24 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 4.28/1.24 ( ( ![W0:$i]:
% 4.28/1.24 ( ( aElementOf0 @
% 4.28/1.24 W0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) ) =>
% 4.28/1.24 ( aElementOf0 @ W0 @ xS ) ) ) |
% 4.28/1.24 ( aSubsetOf0 @ ( sdtpldt0 @ ( sdtmndt0 @ xS @ xx ) @ xx ) @ xS ) ) ) ) )),
% 4.28/1.24 inference('cnf.neg', [status(esa)], [zf_stmt_6])).
% 4.28/1.24 thf(zip_derived_cl69, plain,
% 4.28/1.24 (![X1 : $i, X5 : $i]:
% 4.28/1.24 (~ (zip_tseitin_4 @ X5)
% 4.28/1.24 | (aElementOf0 @ X5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | (aElementOf0 @ X1 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (zip_tseitin_4 @ X1))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl1239, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (~ (zip_tseitin_4 @ X0)
% 4.28/1.24 | (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (zip_tseitin_4 @ X0))),
% 4.28/1.24 inference('eq_fact', [status(thm)], [zip_derived_cl69])).
% 4.28/1.24 thf(zip_derived_cl1241, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (zip_tseitin_4 @ X0))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1239])).
% 4.28/1.24 thf(zip_derived_cl89, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (aElementOf0 @ sk__5 @ xS))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl119, plain,
% 4.28/1.24 (![X3 : $i, X7 : $i]:
% 4.28/1.24 (~ (zip_tseitin_2 @ X7)
% 4.28/1.24 | (aElementOf0 @ X7 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | (aElementOf0 @ X3 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ~ (zip_tseitin_2 @ X3))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl1469, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (~ (zip_tseitin_2 @ X0)
% 4.28/1.24 | (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ~ (zip_tseitin_2 @ X0))),
% 4.28/1.24 inference('eq_fact', [status(thm)], [zip_derived_cl119])).
% 4.28/1.24 thf(zip_derived_cl1471, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx)) | ~ (zip_tseitin_2 @ X0))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1469])).
% 4.28/1.24 thf(mDefCons, axiom,
% 4.28/1.24 (![W0:$i,W1:$i]:
% 4.28/1.24 ( ( ( aElement0 @ W1 ) & ( aSet0 @ W0 ) ) =>
% 4.28/1.24 ( ![W2:$i]:
% 4.28/1.24 ( ( ( W2 ) = ( sdtpldt0 @ W0 @ W1 ) ) <=>
% 4.28/1.24 ( ( ![W3:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W3 @ W2 ) <=>
% 4.28/1.24 ( ( ( ( W3 ) = ( W1 ) ) | ( aElementOf0 @ W3 @ W0 ) ) &
% 4.28/1.24 ( aElement0 @ W3 ) ) ) ) &
% 4.28/1.24 ( aSet0 @ W2 ) ) ) ) ))).
% 4.28/1.24 thf(zf_stmt_8, axiom,
% 4.28/1.24 (![W3:$i,W1:$i,W0:$i]:
% 4.28/1.24 ( ( zip_tseitin_0 @ W3 @ W1 @ W0 ) <=>
% 4.28/1.24 ( ( aElement0 @ W3 ) &
% 4.28/1.24 ( ( aElementOf0 @ W3 @ W0 ) | ( ( W3 ) = ( W1 ) ) ) ) ))).
% 4.28/1.24 thf(zip_derived_cl22, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.28/1.24 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 4.28/1.24 | ~ (aElementOf0 @ X0 @ X2)
% 4.28/1.24 | ~ (aElement0 @ X0))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_8])).
% 4.28/1.24 thf(zf_stmt_9, type, zip_tseitin_0 : $i > $i > $i > $o).
% 4.28/1.24 thf(zf_stmt_10, axiom,
% 4.28/1.24 (![W0:$i,W1:$i]:
% 4.28/1.24 ( ( ( aSet0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 4.28/1.24 ( ![W2:$i]:
% 4.28/1.24 ( ( ( W2 ) = ( sdtpldt0 @ W0 @ W1 ) ) <=>
% 4.28/1.24 ( ( aSet0 @ W2 ) &
% 4.28/1.24 ( ![W3:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W3 @ W2 ) <=> ( zip_tseitin_0 @ W3 @ W1 @ W0 ) ) ) ) ) ) ))).
% 4.28/1.24 thf(zip_derived_cl25, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.28/1.24 (~ (aSet0 @ X0)
% 4.28/1.24 | ~ (aElement0 @ X1)
% 4.28/1.24 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0)
% 4.28/1.24 | (aElementOf0 @ X2 @ X3)
% 4.28/1.24 | ((X3) != (sdtpldt0 @ X0 @ X1)))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_10])).
% 4.28/1.24 thf(zip_derived_cl1024, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.28/1.24 ( (aElementOf0 @ X2 @ (sdtpldt0 @ X1 @ X0))
% 4.28/1.24 | ~ (zip_tseitin_0 @ X2 @ X0 @ X1)
% 4.28/1.24 | ~ (aElement0 @ X0)
% 4.28/1.24 | ~ (aSet0 @ X1))),
% 4.28/1.24 inference('eq_res', [status(thm)], [zip_derived_cl25])).
% 4.28/1.24 thf(zip_derived_cl1095, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.28/1.24 (~ (aElement0 @ X2)
% 4.28/1.24 | ~ (aElementOf0 @ X2 @ X0)
% 4.28/1.24 | (aElementOf0 @ X2 @ (sdtpldt0 @ X0 @ X1))
% 4.28/1.24 | ~ (aElement0 @ X1)
% 4.28/1.24 | ~ (aSet0 @ X0))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl1024])).
% 4.28/1.24 thf(mEOfElem, axiom,
% 4.28/1.24 (![W0:$i]:
% 4.28/1.24 ( ( aSet0 @ W0 ) =>
% 4.28/1.24 ( ![W1:$i]: ( ( aElementOf0 @ W1 @ W0 ) => ( aElement0 @ W1 ) ) ) ))).
% 4.28/1.24 thf(zip_derived_cl2, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i]:
% 4.28/1.24 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 4.28/1.24 inference('cnf', [status(esa)], [mEOfElem])).
% 4.28/1.24 thf(zip_derived_cl1296, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.28/1.24 (~ (aSet0 @ X0)
% 4.28/1.24 | ~ (aElement0 @ X1)
% 4.28/1.24 | (aElementOf0 @ X2 @ (sdtpldt0 @ X0 @ X1))
% 4.28/1.24 | ~ (aElementOf0 @ X2 @ X0))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1095, zip_derived_cl2])).
% 4.28/1.24 thf(zip_derived_cl47, plain,
% 4.28/1.24 (![X0 : $i]: ( (zip_tseitin_3 @ X0) | ~ (zip_tseitin_4 @ X0))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.28/1.24 thf(zip_derived_cl43, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (((X0) = (xx))
% 4.28/1.24 | (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ~ (zip_tseitin_3 @ X0))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.28/1.24 thf(zip_derived_cl856, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (~ (zip_tseitin_4 @ X0)
% 4.28/1.24 | (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ((X0) = (xx)))),
% 4.28/1.24 inference('dp-resolution', [status(thm)],
% 4.28/1.24 [zip_derived_cl47, zip_derived_cl43])).
% 4.28/1.24 thf(mDefDiff, axiom,
% 4.28/1.24 (![W0:$i,W1:$i]:
% 4.28/1.24 ( ( ( aElement0 @ W1 ) & ( aSet0 @ W0 ) ) =>
% 4.28/1.24 ( ![W2:$i]:
% 4.28/1.24 ( ( ( W2 ) = ( sdtmndt0 @ W0 @ W1 ) ) <=>
% 4.28/1.24 ( ( ![W3:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W3 @ W2 ) <=>
% 4.28/1.24 ( ( ( W3 ) != ( W1 ) ) & ( aElementOf0 @ W3 @ W0 ) &
% 4.28/1.24 ( aElement0 @ W3 ) ) ) ) &
% 4.28/1.24 ( aSet0 @ W2 ) ) ) ) ))).
% 4.28/1.24 thf(zf_stmt_11, type, zip_tseitin_1 : $i > $i > $i > $o).
% 4.28/1.24 thf(zf_stmt_12, axiom,
% 4.28/1.24 (![W3:$i,W1:$i,W0:$i]:
% 4.28/1.24 ( ( zip_tseitin_1 @ W3 @ W1 @ W0 ) <=>
% 4.28/1.24 ( ( aElement0 @ W3 ) & ( aElementOf0 @ W3 @ W0 ) & ( ( W3 ) != ( W1 ) ) ) ))).
% 4.28/1.24 thf(zf_stmt_13, axiom,
% 4.28/1.24 (![W0:$i,W1:$i]:
% 4.28/1.24 ( ( ( aSet0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 4.28/1.24 ( ![W2:$i]:
% 4.28/1.24 ( ( ( W2 ) = ( sdtmndt0 @ W0 @ W1 ) ) <=>
% 4.28/1.24 ( ( aSet0 @ W2 ) &
% 4.28/1.24 ( ![W3:$i]:
% 4.28/1.24 ( ( aElementOf0 @ W3 @ W2 ) <=> ( zip_tseitin_1 @ W3 @ W1 @ W0 ) ) ) ) ) ) ))).
% 4.28/1.24 thf(zip_derived_cl33, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 4.28/1.24 (~ (aSet0 @ X0)
% 4.28/1.24 | ~ (aElement0 @ X1)
% 4.28/1.24 | ~ (aElementOf0 @ X2 @ X3)
% 4.28/1.24 | (zip_tseitin_1 @ X2 @ X1 @ X0)
% 4.28/1.24 | ((X3) != (sdtmndt0 @ X0 @ X1)))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_13])).
% 4.28/1.24 thf(zip_derived_cl1049, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.28/1.24 ( (zip_tseitin_1 @ X2 @ X1 @ X0)
% 4.28/1.24 | ~ (aElementOf0 @ X2 @ (sdtmndt0 @ X0 @ X1))
% 4.28/1.24 | ~ (aElement0 @ X1)
% 4.28/1.24 | ~ (aSet0 @ X0))),
% 4.28/1.24 inference('eq_res', [status(thm)], [zip_derived_cl33])).
% 4.28/1.24 thf(zip_derived_cl29, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.28/1.24 ( (aElementOf0 @ X0 @ X1) | ~ (zip_tseitin_1 @ X0 @ X2 @ X1))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_12])).
% 4.28/1.24 thf(zip_derived_cl1124, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.28/1.24 (~ (aSet0 @ X0)
% 4.28/1.24 | ~ (aElement0 @ X1)
% 4.28/1.24 | ~ (aElementOf0 @ X2 @ (sdtmndt0 @ X0 @ X1))
% 4.28/1.24 | (aElementOf0 @ X2 @ X0))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1049, zip_derived_cl29])).
% 4.28/1.24 thf(zip_derived_cl1168, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (((X0) = (xx))
% 4.28/1.24 | ~ (zip_tseitin_4 @ X0)
% 4.28/1.24 | ~ (aSet0 @ xS)
% 4.28/1.24 | ~ (aElement0 @ xx)
% 4.28/1.24 | (aElementOf0 @ X0 @ xS))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl856, zip_derived_cl1124])).
% 4.28/1.24 thf(m__617, axiom, (aSet0 @ xS)).
% 4.28/1.24 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 4.28/1.24 inference('cnf', [status(esa)], [m__617])).
% 4.28/1.24 thf(m__617_02, axiom, (aElementOf0 @ xx @ xS)).
% 4.28/1.24 thf(zip_derived_cl38, plain, ( (aElementOf0 @ xx @ xS)),
% 4.28/1.24 inference('cnf', [status(esa)], [m__617_02])).
% 4.28/1.24 thf(zip_derived_cl2, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i]:
% 4.28/1.24 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 4.28/1.24 inference('cnf', [status(esa)], [mEOfElem])).
% 4.28/1.24 thf(zip_derived_cl955, plain, (( (aElement0 @ xx) | ~ (aSet0 @ xS))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 4.28/1.24 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 4.28/1.24 inference('cnf', [status(esa)], [m__617])).
% 4.28/1.24 thf(zip_derived_cl956, plain, ( (aElement0 @ xx)),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl955, zip_derived_cl37])).
% 4.28/1.24 thf(zip_derived_cl1173, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (((X0) = (xx)) | ~ (zip_tseitin_4 @ X0) | (aElementOf0 @ X0 @ xS))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1168, zip_derived_cl37, zip_derived_cl956])).
% 4.28/1.24 thf(zip_derived_cl79, plain,
% 4.28/1.24 (( (aElementOf0 @ sk__4 @ xS)
% 4.28/1.24 | (aElementOf0 @ sk__5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl59, plain,
% 4.28/1.24 (![X0 : $i, X4 : $i]:
% 4.28/1.24 (~ (aElementOf0 @ X4 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | (zip_tseitin_4 @ X4)
% 4.28/1.24 | (zip_tseitin_4 @ X0)
% 4.28/1.24 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl1108, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (~ (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | (zip_tseitin_4 @ X0)
% 4.28/1.24 | (zip_tseitin_4 @ X0))),
% 4.28/1.24 inference('eq_fact', [status(thm)], [zip_derived_cl59])).
% 4.28/1.24 thf(zip_derived_cl1109, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (zip_tseitin_4 @ X0)
% 4.28/1.24 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1108])).
% 4.28/1.24 thf(zip_derived_cl1118, plain,
% 4.28/1.24 (( (aElementOf0 @ sk__4 @ xS) | (zip_tseitin_4 @ sk__5))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl1109])).
% 4.28/1.24 thf(zip_derived_cl1185, plain,
% 4.28/1.24 (( (aElementOf0 @ sk__5 @ xS)
% 4.28/1.24 | ((sk__5) = (xx))
% 4.28/1.24 | (aElementOf0 @ sk__4 @ xS))),
% 4.28/1.24 inference('s_sup+', [status(thm)],
% 4.28/1.24 [zip_derived_cl1173, zip_derived_cl1118])).
% 4.28/1.24 thf(zip_derived_cl80, plain,
% 4.28/1.24 (( (aElementOf0 @ sk__4 @ xS) | ~ (aElementOf0 @ sk__5 @ xS))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl1215, plain,
% 4.28/1.24 (( (aElementOf0 @ sk__4 @ xS) | ((sk__5) = (xx)))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1185, zip_derived_cl80])).
% 4.28/1.24 thf(zip_derived_cl42, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (zip_tseitin_2 @ X0)
% 4.28/1.24 | ((X0) = (xx))
% 4.28/1.24 | ~ (aElementOf0 @ X0 @ xS)
% 4.28/1.24 | ~ (aElement0 @ X0))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.28/1.24 thf(zip_derived_cl1217, plain,
% 4.28/1.24 ((((sk__5) = (xx))
% 4.28/1.24 | (zip_tseitin_2 @ sk__4)
% 4.28/1.24 | ((sk__4) = (xx))
% 4.28/1.24 | ~ (aElement0 @ sk__4))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1215, zip_derived_cl42])).
% 4.28/1.24 thf(zip_derived_cl1215, plain,
% 4.28/1.24 (( (aElementOf0 @ sk__4 @ xS) | ((sk__5) = (xx)))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1185, zip_derived_cl80])).
% 4.28/1.24 thf(zip_derived_cl2, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i]:
% 4.28/1.24 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 4.28/1.24 inference('cnf', [status(esa)], [mEOfElem])).
% 4.28/1.24 thf(zip_derived_cl1216, plain,
% 4.28/1.24 ((((sk__5) = (xx)) | (aElement0 @ sk__4) | ~ (aSet0 @ xS))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1215, zip_derived_cl2])).
% 4.28/1.24 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 4.28/1.24 inference('cnf', [status(esa)], [m__617])).
% 4.28/1.24 thf(zip_derived_cl1218, plain, ((((sk__5) = (xx)) | (aElement0 @ sk__4))),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl1216, zip_derived_cl37])).
% 4.28/1.24 thf(zip_derived_cl1288, plain,
% 4.28/1.24 ((((sk__4) = (xx)) | (zip_tseitin_2 @ sk__4) | ((sk__5) = (xx)))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1217, zip_derived_cl1218])).
% 4.28/1.24 thf(zip_derived_cl1471, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx)) | ~ (zip_tseitin_2 @ X0))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1469])).
% 4.28/1.24 thf(zip_derived_cl1296, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.28/1.24 (~ (aSet0 @ X0)
% 4.28/1.24 | ~ (aElement0 @ X1)
% 4.28/1.24 | (aElementOf0 @ X2 @ (sdtpldt0 @ X0 @ X1))
% 4.28/1.24 | ~ (aElementOf0 @ X2 @ X0))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1095, zip_derived_cl2])).
% 4.28/1.24 thf(zip_derived_cl88, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | (aElementOf0 @ sk__5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl1302, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ~ (aElement0 @ xx)
% 4.28/1.24 | ~ (aSet0 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | (aElementOf0 @ sk__5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1296, zip_derived_cl88])).
% 4.28/1.24 thf(zip_derived_cl956, plain, ( (aElement0 @ xx)),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl955, zip_derived_cl37])).
% 4.28/1.24 thf(zip_derived_cl129, plain,
% 4.28/1.24 (( (aSet0 @ (sdtmndt0 @ xS @ xx)) | (aSet0 @ (sdtmndt0 @ xS @ xx)))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl968, plain, ( (aSet0 @ (sdtmndt0 @ xS @ xx))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 4.28/1.24 thf(zip_derived_cl1307, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | (aElementOf0 @ sk__5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1302, zip_derived_cl956, zip_derived_cl968])).
% 4.28/1.24 thf(zip_derived_cl1496, plain,
% 4.28/1.24 ((~ (zip_tseitin_2 @ sk__4)
% 4.28/1.24 | (aElementOf0 @ sk__5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1471, zip_derived_cl1307])).
% 4.28/1.24 thf(zip_derived_cl1542, plain,
% 4.28/1.24 ((((sk__5) = (xx))
% 4.28/1.24 | ((sk__4) = (xx))
% 4.28/1.24 | (aElementOf0 @ sk__5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1288, zip_derived_cl1496])).
% 4.28/1.24 thf(zip_derived_cl1109, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (zip_tseitin_4 @ X0)
% 4.28/1.24 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1108])).
% 4.28/1.24 thf(zip_derived_cl1641, plain,
% 4.28/1.24 ((((sk__4) = (xx)) | ((sk__5) = (xx)) | (zip_tseitin_4 @ sk__5))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1542, zip_derived_cl1109])).
% 4.28/1.24 thf(zip_derived_cl1173, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (((X0) = (xx)) | ~ (zip_tseitin_4 @ X0) | (aElementOf0 @ X0 @ xS))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1168, zip_derived_cl37, zip_derived_cl956])).
% 4.28/1.24 thf(zip_derived_cl1663, plain,
% 4.28/1.24 ((((sk__5) = (xx))
% 4.28/1.24 | ((sk__4) = (xx))
% 4.28/1.24 | ((sk__5) = (xx))
% 4.28/1.24 | (aElementOf0 @ sk__5 @ xS))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1641, zip_derived_cl1173])).
% 4.28/1.24 thf(zip_derived_cl1665, plain,
% 4.28/1.24 (( (aElementOf0 @ sk__5 @ xS) | ((sk__4) = (xx)) | ((sk__5) = (xx)))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1663])).
% 4.28/1.24 thf(zip_derived_cl89, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (aElementOf0 @ sk__5 @ xS))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl1726, plain,
% 4.28/1.24 ((((sk__5) = (xx))
% 4.28/1.24 | ((sk__4) = (xx))
% 4.28/1.24 | ~ (aElementOf0 @ sk__4 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1665, zip_derived_cl89])).
% 4.28/1.24 thf(zip_derived_cl1732, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ~ (aElement0 @ xx)
% 4.28/1.24 | ~ (aSet0 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ((sk__5) = (xx))
% 4.28/1.24 | ((sk__4) = (xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1296, zip_derived_cl1726])).
% 4.28/1.24 thf(zip_derived_cl956, plain, ( (aElement0 @ xx)),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl955, zip_derived_cl37])).
% 4.28/1.24 thf(zip_derived_cl968, plain, ( (aSet0 @ (sdtmndt0 @ xS @ xx))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 4.28/1.24 thf(zip_derived_cl1733, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ((sk__5) = (xx))
% 4.28/1.24 | ((sk__4) = (xx)))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1732, zip_derived_cl956, zip_derived_cl968])).
% 4.28/1.24 thf(zip_derived_cl1748, plain,
% 4.28/1.24 ((~ (zip_tseitin_2 @ sk__4) | ((sk__5) = (xx)) | ((sk__4) = (xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1471, zip_derived_cl1733])).
% 4.28/1.24 thf(zip_derived_cl1288, plain,
% 4.28/1.24 ((((sk__4) = (xx)) | (zip_tseitin_2 @ sk__4) | ((sk__5) = (xx)))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1217, zip_derived_cl1218])).
% 4.28/1.24 thf(zip_derived_cl1751, plain, ((((sk__4) = (xx)) | ((sk__5) = (xx)))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1748, zip_derived_cl1288])).
% 4.28/1.24 thf(zip_derived_cl80, plain,
% 4.28/1.24 (( (aElementOf0 @ sk__4 @ xS) | ~ (aElementOf0 @ sk__5 @ xS))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl1753, plain,
% 4.28/1.24 ((((sk__4) = (xx))
% 4.28/1.24 | (aElementOf0 @ sk__4 @ xS)
% 4.28/1.24 | ~ (aElementOf0 @ xx @ xS))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1751, zip_derived_cl80])).
% 4.28/1.24 thf(zip_derived_cl38, plain, ( (aElementOf0 @ xx @ xS)),
% 4.28/1.24 inference('cnf', [status(esa)], [m__617_02])).
% 4.28/1.24 thf(zip_derived_cl1759, plain,
% 4.28/1.24 ((((sk__4) = (xx)) | (aElementOf0 @ sk__4 @ xS))),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl1753, zip_derived_cl38])).
% 4.28/1.24 thf(zip_derived_cl2, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i]:
% 4.28/1.24 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 4.28/1.24 inference('cnf', [status(esa)], [mEOfElem])).
% 4.28/1.24 thf(zip_derived_cl1797, plain,
% 4.28/1.24 ((((sk__4) = (xx)) | (aElement0 @ sk__4) | ~ (aSet0 @ xS))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1759, zip_derived_cl2])).
% 4.28/1.24 thf(zip_derived_cl37, plain, ( (aSet0 @ xS)),
% 4.28/1.24 inference('cnf', [status(esa)], [m__617])).
% 4.28/1.24 thf(zip_derived_cl1800, plain, ((((sk__4) = (xx)) | (aElement0 @ sk__4))),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl1797, zip_derived_cl37])).
% 4.28/1.24 thf(zip_derived_cl1759, plain,
% 4.28/1.24 ((((sk__4) = (xx)) | (aElementOf0 @ sk__4 @ xS))),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl1753, zip_derived_cl38])).
% 4.28/1.24 thf(zip_derived_cl42, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (zip_tseitin_2 @ X0)
% 4.28/1.24 | ((X0) = (xx))
% 4.28/1.24 | ~ (aElementOf0 @ X0 @ xS)
% 4.28/1.24 | ~ (aElement0 @ X0))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.28/1.24 thf(zip_derived_cl1799, plain,
% 4.28/1.24 ((((sk__4) = (xx))
% 4.28/1.24 | (zip_tseitin_2 @ sk__4)
% 4.28/1.24 | ((sk__4) = (xx))
% 4.28/1.24 | ~ (aElement0 @ sk__4))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1759, zip_derived_cl42])).
% 4.28/1.24 thf(zip_derived_cl1471, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (aElementOf0 @ X0 @ (sdtmndt0 @ xS @ xx)) | ~ (zip_tseitin_2 @ X0))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1469])).
% 4.28/1.24 thf(zip_derived_cl1296, plain,
% 4.28/1.24 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.28/1.24 (~ (aSet0 @ X0)
% 4.28/1.24 | ~ (aElement0 @ X1)
% 4.28/1.24 | (aElementOf0 @ X2 @ (sdtpldt0 @ X0 @ X1))
% 4.28/1.24 | ~ (aElementOf0 @ X2 @ X0))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1095, zip_derived_cl2])).
% 4.28/1.24 thf(zip_derived_cl1751, plain, ((((sk__4) = (xx)) | ((sk__5) = (xx)))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1748, zip_derived_cl1288])).
% 4.28/1.24 thf(zip_derived_cl89, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (aElementOf0 @ sk__5 @ xS))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl1754, plain,
% 4.28/1.24 ((((sk__4) = (xx))
% 4.28/1.24 | ~ (aElementOf0 @ sk__4 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (aElementOf0 @ xx @ xS))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1751, zip_derived_cl89])).
% 4.28/1.24 thf(zip_derived_cl38, plain, ( (aElementOf0 @ xx @ xS)),
% 4.28/1.24 inference('cnf', [status(esa)], [m__617_02])).
% 4.28/1.24 thf(zip_derived_cl1760, plain,
% 4.28/1.24 ((((sk__4) = (xx))
% 4.28/1.24 | ~ (aElementOf0 @ sk__4 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl1754, zip_derived_cl38])).
% 4.28/1.24 thf(zip_derived_cl1777, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ~ (aElement0 @ xx)
% 4.28/1.24 | ~ (aSet0 @ (sdtmndt0 @ xS @ xx))
% 4.28/1.24 | ((sk__4) = (xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1296, zip_derived_cl1760])).
% 4.28/1.24 thf(zip_derived_cl956, plain, ( (aElement0 @ xx)),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl955, zip_derived_cl37])).
% 4.28/1.24 thf(zip_derived_cl968, plain, ( (aSet0 @ (sdtmndt0 @ xS @ xx))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl129])).
% 4.28/1.24 thf(zip_derived_cl1778, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtmndt0 @ xS @ xx)) | ((sk__4) = (xx)))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1777, zip_derived_cl956, zip_derived_cl968])).
% 4.28/1.24 thf(zip_derived_cl1780, plain,
% 4.28/1.24 ((~ (zip_tseitin_2 @ sk__4) | ((sk__4) = (xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1471, zip_derived_cl1778])).
% 4.28/1.24 thf(zip_derived_cl41, plain,
% 4.28/1.24 (![X0 : $i]: (((X0) != (xx)) | ~ (zip_tseitin_2 @ X0))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.28/1.24 thf(zip_derived_cl1783, plain, (~ (zip_tseitin_2 @ sk__4)),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1780, zip_derived_cl41])).
% 4.28/1.24 thf(zip_derived_cl1802, plain,
% 4.28/1.24 ((((sk__4) = (xx)) | ((sk__4) = (xx)) | ~ (aElement0 @ sk__4))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1799, zip_derived_cl1783])).
% 4.28/1.24 thf(zip_derived_cl1803, plain, ((~ (aElement0 @ sk__4) | ((sk__4) = (xx)))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1802])).
% 4.28/1.24 thf(zip_derived_cl1817, plain, (((sk__4) = (xx))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1800, zip_derived_cl1803])).
% 4.28/1.24 thf(zip_derived_cl1822, plain,
% 4.28/1.24 ((~ (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (aElementOf0 @ sk__5 @ xS))),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl1817])).
% 4.28/1.24 thf(zip_derived_cl1241, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (zip_tseitin_4 @ X0))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1239])).
% 4.28/1.24 thf(zip_derived_cl1241, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (zip_tseitin_4 @ X0))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1239])).
% 4.28/1.24 thf(zip_derived_cl88, plain,
% 4.28/1.24 ((~ (aElementOf0 @ sk__4 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | (aElementOf0 @ sk__5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_7])).
% 4.28/1.24 thf(zip_derived_cl1257, plain,
% 4.28/1.24 ((~ (zip_tseitin_4 @ sk__4)
% 4.28/1.24 | (aElementOf0 @ sk__5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)], [zip_derived_cl1241, zip_derived_cl88])).
% 4.28/1.24 thf(zip_derived_cl1817, plain, (((sk__4) = (xx))),
% 4.28/1.24 inference('clc', [status(thm)], [zip_derived_cl1800, zip_derived_cl1803])).
% 4.28/1.24 thf(zip_derived_cl45, plain,
% 4.28/1.24 (![X0 : $i]: ( (zip_tseitin_3 @ X0) | ((X0) != (xx)))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.28/1.24 thf(zip_derived_cl48, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_3 @ X0) | ~ (aElement0 @ X0))),
% 4.28/1.24 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.28/1.24 thf(zip_derived_cl858, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (((X0) != (xx)) | ~ (aElement0 @ X0) | (zip_tseitin_4 @ X0))),
% 4.28/1.24 inference('dp-resolution', [status(thm)],
% 4.28/1.24 [zip_derived_cl45, zip_derived_cl48])).
% 4.28/1.24 thf(zip_derived_cl1012, plain,
% 4.28/1.24 (( (zip_tseitin_4 @ xx) | ~ (aElement0 @ xx))),
% 4.28/1.24 inference('eq_res', [status(thm)], [zip_derived_cl858])).
% 4.28/1.24 thf(zip_derived_cl956, plain, ( (aElement0 @ xx)),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl955, zip_derived_cl37])).
% 4.28/1.24 thf(zip_derived_cl1013, plain, ( (zip_tseitin_4 @ xx)),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl1012, zip_derived_cl956])).
% 4.28/1.24 thf(zip_derived_cl1833, plain,
% 4.28/1.24 ( (aElementOf0 @ sk__5 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1257, zip_derived_cl1817, zip_derived_cl1013])).
% 4.28/1.24 thf(zip_derived_cl1109, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 ( (zip_tseitin_4 @ X0)
% 4.28/1.24 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('simplify', [status(thm)], [zip_derived_cl1108])).
% 4.28/1.24 thf(zip_derived_cl1879, plain, ( (zip_tseitin_4 @ sk__5)),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1833, zip_derived_cl1109])).
% 4.28/1.24 thf(zip_derived_cl1173, plain,
% 4.28/1.24 (![X0 : $i]:
% 4.28/1.24 (((X0) = (xx)) | ~ (zip_tseitin_4 @ X0) | (aElementOf0 @ X0 @ xS))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1168, zip_derived_cl37, zip_derived_cl956])).
% 4.28/1.24 thf(zip_derived_cl1892, plain,
% 4.28/1.24 ((((sk__5) = (xx)) | (aElementOf0 @ sk__5 @ xS))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1879, zip_derived_cl1173])).
% 4.28/1.24 thf(zip_derived_cl1822, plain,
% 4.28/1.24 ((~ (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))
% 4.28/1.24 | ~ (aElementOf0 @ sk__5 @ xS))),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl1817])).
% 4.28/1.24 thf(zip_derived_cl1909, plain,
% 4.28/1.24 ((((sk__5) = (xx))
% 4.28/1.24 | ~ (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1892, zip_derived_cl1822])).
% 4.28/1.24 thf(zip_derived_cl1932, plain, ((~ (zip_tseitin_4 @ xx) | ((sk__5) = (xx)))),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1241, zip_derived_cl1909])).
% 4.28/1.24 thf(zip_derived_cl1013, plain, ( (zip_tseitin_4 @ xx)),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl1012, zip_derived_cl956])).
% 4.28/1.24 thf(zip_derived_cl1936, plain, (((sk__5) = (xx))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1932, zip_derived_cl1013])).
% 4.28/1.24 thf(zip_derived_cl38, plain, ( (aElementOf0 @ xx @ xS)),
% 4.28/1.24 inference('cnf', [status(esa)], [m__617_02])).
% 4.28/1.24 thf(zip_derived_cl1940, plain,
% 4.28/1.24 (~ (aElementOf0 @ xx @ (sdtpldt0 @ (sdtmndt0 @ xS @ xx) @ xx))),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1822, zip_derived_cl1936, zip_derived_cl38])).
% 4.28/1.24 thf(zip_derived_cl1950, plain, (~ (zip_tseitin_4 @ xx)),
% 4.28/1.24 inference('s_sup-', [status(thm)],
% 4.28/1.24 [zip_derived_cl1241, zip_derived_cl1940])).
% 4.28/1.24 thf(zip_derived_cl1013, plain, ( (zip_tseitin_4 @ xx)),
% 4.28/1.24 inference('demod', [status(thm)], [zip_derived_cl1012, zip_derived_cl956])).
% 4.28/1.24 thf(zip_derived_cl1954, plain, ($false),
% 4.28/1.24 inference('demod', [status(thm)],
% 4.28/1.24 [zip_derived_cl1950, zip_derived_cl1013])).
% 4.28/1.24
% 4.28/1.24 % SZS output end Refutation
% 4.28/1.24
% 4.28/1.24
% 4.28/1.24 % Terminating...
% 4.52/1.31 % Runner terminated.
% 4.52/1.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------