%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM536+2 : 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.O2prPoxc5B 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 0.59s 0.93s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : NUM536+2 : TPTP v9.2.0. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O2prPoxc5B 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 16:46:38 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/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
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.93 % Solved by fo/fo6_bce.sh.
% 0.59/0.93 % BCE start: 58
% 0.59/0.93 % BCE eliminated: 4
% 0.59/0.93 % PE start: 54
% 0.59/0.93 logic: eq
% 0.59/0.93 % PE eliminated: 6
% 0.59/0.93 % done 193 iterations in 0.179s
% 0.59/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.59/0.93 % SZS output start Refutation
% 0.59/0.93 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 0.59/0.93 thf(aSet0_type, type, aSet0: $i > $o).
% 0.59/0.93 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.59/0.93 thf(xx_type, type, xx: $i).
% 0.59/0.93 thf(aElement0_type, type, aElement0: $i > $o).
% 0.59/0.93 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $o).
% 0.59/0.93 thf(sdtmndt0_type, type, sdtmndt0: $i > $i > $i).
% 0.59/0.93 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 0.59/0.93 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 0.59/0.93 thf(sk__1_type, type, sk__1: $i > $i > $i).
% 0.59/0.93 thf(xS_type, type, xS: $i).
% 0.59/0.93 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 0.59/0.93 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $o).
% 0.59/0.93 thf(mDefSub, axiom,
% 0.59/0.93 (![W0:$i]:
% 0.59/0.93 ( ( aSet0 @ W0 ) =>
% 0.59/0.93 ( ![W1:$i]:
% 0.59/0.93 ( ( aSubsetOf0 @ W1 @ W0 ) <=>
% 0.59/0.93 ( ( aSet0 @ W1 ) &
% 0.59/0.93 ( ![W2:$i]:
% 0.59/0.93 ( ( aElementOf0 @ W2 @ W1 ) => ( aElementOf0 @ W2 @ W0 ) ) ) ) ) ) ))).
% 0.59/0.93 thf(zip_derived_cl12, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | (aElementOf0 @ (sk__1 @ X0 @ X1) @ X0)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ X1)
% 0.59/0.93 | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('cnf', [status(esa)], [mDefSub])).
% 0.59/0.93 thf(m__, conjecture,
% 0.59/0.93 (( ( ![W0:$i]:
% 0.59/0.93 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) <=>
% 0.59/0.93 ( ( ( ( W0 ) = ( xx ) ) | ( aElementOf0 @ W0 @ xS ) ) &
% 0.59/0.93 ( aElement0 @ W0 ) ) ) ) &
% 0.59/0.93 ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) ) =>
% 0.59/0.93 ( ( ( ![W0:$i]:
% 0.59/0.93 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) <=>
% 0.59/0.93 ( ( ( W0 ) != ( xx ) ) &
% 0.59/0.93 ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.59/0.93 ( aElement0 @ W0 ) ) ) ) &
% 0.59/0.93 ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) ) =>
% 0.59/0.93 ( ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) = ( xS ) ) ))).
% 0.59/0.93 thf(zf_stmt_0, type, zip_tseitin_4 : $i > $o).
% 0.59/0.93 thf(zf_stmt_1, axiom,
% 0.59/0.93 (![W0:$i]:
% 0.59/0.93 ( ( zip_tseitin_4 @ W0 ) <=>
% 0.59/0.93 ( ( aElement0 @ W0 ) & ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.59/0.93 ( ( W0 ) != ( xx ) ) ) ))).
% 0.59/0.93 thf(zf_stmt_2, type, zip_tseitin_3 : $i > $o).
% 0.59/0.93 thf(zf_stmt_3, axiom,
% 0.59/0.93 (![W0:$i]:
% 0.59/0.93 ( ( zip_tseitin_3 @ W0 ) <=>
% 0.59/0.93 ( ( aElement0 @ W0 ) & ( zip_tseitin_2 @ W0 ) ) ))).
% 0.59/0.93 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $o).
% 0.59/0.93 thf(zf_stmt_5, axiom,
% 0.59/0.93 (![W0:$i]:
% 0.59/0.93 ( ( zip_tseitin_2 @ W0 ) <=>
% 0.59/0.93 ( ( aElementOf0 @ W0 @ xS ) | ( ( W0 ) = ( xx ) ) ) ))).
% 0.59/0.93 thf(zf_stmt_6, conjecture,
% 0.59/0.93 (( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.59/0.93 ( ![W0:$i]:
% 0.59/0.93 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) <=>
% 0.59/0.93 ( zip_tseitin_3 @ W0 ) ) ) ) =>
% 0.59/0.93 ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) &
% 0.59/0.93 ( ![W0:$i]:
% 0.59/0.93 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) <=>
% 0.59/0.93 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 0.59/0.93 ( ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) = ( xS ) ) ))).
% 0.59/0.93 thf(zf_stmt_7, negated_conjecture,
% 0.59/0.93 (~( ( ( aSet0 @ ( sdtpldt0 @ xS @ xx ) ) &
% 0.59/0.93 ( ![W0:$i]:
% 0.59/0.93 ( ( aElementOf0 @ W0 @ ( sdtpldt0 @ xS @ xx ) ) <=>
% 0.59/0.93 ( zip_tseitin_3 @ W0 ) ) ) ) =>
% 0.59/0.93 ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) &
% 0.59/0.93 ( ![W0:$i]:
% 0.59/0.93 ( ( aElementOf0 @ W0 @ ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) ) <=>
% 0.59/0.93 ( zip_tseitin_4 @ W0 ) ) ) ) =>
% 0.59/0.93 ( ( sdtmndt0 @ ( sdtpldt0 @ xS @ xx ) @ xx ) = ( xS ) ) ) )),
% 0.59/0.93 inference('cnf.neg', [status(esa)], [zf_stmt_6])).
% 0.59/0.93 thf(zip_derived_cl56, plain,
% 0.59/0.93 (![X3 : $i]:
% 0.59/0.93 ( (zip_tseitin_4 @ X3)
% 0.59/0.93 | ~ (aElementOf0 @ X3 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl48, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 ( (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx)) | ~ (zip_tseitin_4 @ X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.93 thf(zip_derived_cl347, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx)))),
% 0.59/0.93 inference('dp-resolution', [status(thm)],
% 0.59/0.93 [zip_derived_cl56, zip_derived_cl48])).
% 0.59/0.93 thf(zip_derived_cl490, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ X0)
% 0.59/0.93 | ~ (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | (aElementOf0 @
% 0.59/0.93 (sk__1 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ X0) @
% 0.59/0.93 (sdtpldt0 @ xS @ xx)))),
% 0.59/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl347])).
% 0.59/0.93 thf(zip_derived_cl57, plain,
% 0.59/0.93 ( (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl495, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ X0)
% 0.59/0.93 | (aElementOf0 @
% 0.59/0.93 (sk__1 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ X0) @
% 0.59/0.93 (sdtpldt0 @ xS @ xx)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl490, zip_derived_cl57])).
% 0.59/0.93 thf(zip_derived_cl53, plain,
% 0.59/0.93 (![X1 : $i]:
% 0.59/0.93 ( (zip_tseitin_3 @ X1) | ~ (aElementOf0 @ X1 @ (sdtpldt0 @ xS @ xx)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl45, plain,
% 0.59/0.93 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (zip_tseitin_3 @ X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.93 thf(zip_derived_cl41, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (((X0) = (xx)) | (aElementOf0 @ X0 @ xS) | ~ (zip_tseitin_2 @ X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.59/0.93 thf(zip_derived_cl339, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (zip_tseitin_3 @ X0) | (aElementOf0 @ X0 @ xS) | ((X0) = (xx)))),
% 0.59/0.93 inference('dp-resolution', [status(thm)],
% 0.59/0.93 [zip_derived_cl45, zip_derived_cl41])).
% 0.59/0.93 thf(zip_derived_cl352, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx))
% 0.59/0.93 | ((X0) = (xx))
% 0.59/0.93 | (aElementOf0 @ X0 @ xS))),
% 0.59/0.93 inference('dp-resolution', [status(thm)],
% 0.59/0.93 [zip_derived_cl53, zip_derived_cl339])).
% 0.59/0.93 thf(zip_derived_cl628, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 ( (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ X0)
% 0.59/0.93 | ~ (aSet0 @ X0)
% 0.59/0.93 | ((sk__1 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ X0) = (xx))
% 0.59/0.93 | (aElementOf0 @
% 0.59/0.93 (sk__1 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ X0) @ xS))),
% 0.59/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl495, zip_derived_cl352])).
% 0.59/0.93 thf(zip_derived_cl11, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | ~ (aElementOf0 @ (sk__1 @ X0 @ X1) @ X1)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ X1)
% 0.59/0.93 | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('cnf', [status(esa)], [mDefSub])).
% 0.59/0.93 thf(zip_derived_cl904, plain,
% 0.59/0.93 ((((sk__1 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS) = (xx))
% 0.59/0.93 | ~ (aSet0 @ xS)
% 0.59/0.93 | (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS)
% 0.59/0.93 | ~ (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS)
% 0.59/0.93 | ~ (aSet0 @ xS))),
% 0.59/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl628, zip_derived_cl11])).
% 0.59/0.93 thf(m__679, axiom, (( aSet0 @ xS ) & ( aElement0 @ xx ))).
% 0.59/0.93 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679])).
% 0.59/0.93 thf(zip_derived_cl57, plain,
% 0.59/0.93 ( (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679])).
% 0.59/0.93 thf(zip_derived_cl906, plain,
% 0.59/0.93 ((((sk__1 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS) = (xx))
% 0.59/0.93 | (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS)
% 0.59/0.93 | (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl904, zip_derived_cl38, zip_derived_cl57,
% 0.59/0.93 zip_derived_cl38])).
% 0.59/0.93 thf(zip_derived_cl907, plain,
% 0.59/0.93 (( (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS)
% 0.59/0.93 | ((sk__1 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS) = (xx)))),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl906])).
% 0.59/0.93 thf(zip_derived_cl12, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | (aElementOf0 @ (sk__1 @ X0 @ X1) @ X0)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ X1)
% 0.59/0.93 | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('cnf', [status(esa)], [mDefSub])).
% 0.59/0.93 thf(zip_derived_cl913, plain,
% 0.59/0.93 (( (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS)
% 0.59/0.93 | ~ (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | (aElementOf0 @ xx @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS)
% 0.59/0.93 | ~ (aSet0 @ xS))),
% 0.59/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl907, zip_derived_cl12])).
% 0.59/0.93 thf(zip_derived_cl57, plain,
% 0.59/0.93 ( (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl56, plain,
% 0.59/0.93 (![X3 : $i]:
% 0.59/0.93 ( (zip_tseitin_4 @ X3)
% 0.59/0.93 | ~ (aElementOf0 @ X3 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl49, plain,
% 0.59/0.93 (![X0 : $i]: (((X0) != (xx)) | ~ (zip_tseitin_4 @ X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.93 thf(zip_derived_cl348, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | ((X0) != (xx)))),
% 0.59/0.93 inference('dp-resolution', [status(thm)],
% 0.59/0.93 [zip_derived_cl56, zip_derived_cl49])).
% 0.59/0.93 thf(zip_derived_cl473, plain,
% 0.59/0.93 (~ (aElementOf0 @ xx @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('eq_res', [status(thm)], [zip_derived_cl348])).
% 0.59/0.93 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679])).
% 0.59/0.93 thf(zip_derived_cl919, plain,
% 0.59/0.93 (( (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS)
% 0.59/0.93 | (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl913, zip_derived_cl57, zip_derived_cl473,
% 0.59/0.93 zip_derived_cl38])).
% 0.59/0.93 thf(zip_derived_cl920, plain,
% 0.59/0.93 ( (aSubsetOf0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) @ xS)),
% 0.59/0.93 inference('simplify', [status(thm)], [zip_derived_cl919])).
% 0.59/0.93 thf(mSubASymm, axiom,
% 0.59/0.93 (![W0:$i,W1:$i]:
% 0.59/0.93 ( ( ( aSet0 @ W0 ) & ( aSet0 @ W1 ) ) =>
% 0.59/0.93 ( ( ( aSubsetOf0 @ W0 @ W1 ) & ( aSubsetOf0 @ W1 @ W0 ) ) =>
% 0.59/0.93 ( ( W0 ) = ( W1 ) ) ) ))).
% 0.59/0.93 thf(zip_derived_cl17, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | ~ (aSet0 @ X1)
% 0.59/0.93 | ((X0) = (X1))
% 0.59/0.93 | ~ (aSubsetOf0 @ X1 @ X0)
% 0.59/0.93 | ~ (aSubsetOf0 @ X0 @ X1))),
% 0.59/0.93 inference('cnf', [status(esa)], [mSubASymm])).
% 0.59/0.93 thf(zip_derived_cl14, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aSubsetOf0 @ X0 @ X1) | (aSet0 @ X0) | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('cnf', [status(esa)], [mDefSub])).
% 0.59/0.93 thf(zip_derived_cl520, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aSubsetOf0 @ X0 @ X1)
% 0.59/0.93 | ~ (aSubsetOf0 @ X1 @ X0)
% 0.59/0.93 | ((X0) = (X1))
% 0.59/0.93 | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('clc', [status(thm)], [zip_derived_cl17, zip_derived_cl14])).
% 0.59/0.93 thf(zip_derived_cl929, plain,
% 0.59/0.93 ((~ (aSubsetOf0 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | ((sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) = (xS))
% 0.59/0.93 | ~ (aSet0 @ xS))),
% 0.59/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl920, zip_derived_cl520])).
% 0.59/0.93 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679])).
% 0.59/0.93 thf(zip_derived_cl933, plain,
% 0.59/0.93 ((~ (aSubsetOf0 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | ((sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) = (xS)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl929, zip_derived_cl38])).
% 0.59/0.93 thf(zip_derived_cl54, plain,
% 0.59/0.93 (((sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx) != (xS))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl934, plain,
% 0.59/0.93 (~ (aSubsetOf0 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('simplify_reflect-', [status(thm)],
% 0.59/0.93 [zip_derived_cl933, zip_derived_cl54])).
% 0.59/0.93 thf(zip_derived_cl12, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | (aElementOf0 @ (sk__1 @ X0 @ X1) @ X0)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ X1)
% 0.59/0.93 | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('cnf', [status(esa)], [mDefSub])).
% 0.59/0.93 thf(mDefCons, axiom,
% 0.59/0.93 (![W0:$i,W1:$i]:
% 0.59/0.93 ( ( ( aElement0 @ W1 ) & ( aSet0 @ W0 ) ) =>
% 0.59/0.93 ( ![W2:$i]:
% 0.59/0.93 ( ( ( W2 ) = ( sdtpldt0 @ W0 @ W1 ) ) <=>
% 0.59/0.93 ( ( ![W3:$i]:
% 0.59/0.93 ( ( aElementOf0 @ W3 @ W2 ) <=>
% 0.59/0.93 ( ( ( ( W3 ) = ( W1 ) ) | ( aElementOf0 @ W3 @ W0 ) ) &
% 0.59/0.93 ( aElement0 @ W3 ) ) ) ) &
% 0.59/0.93 ( aSet0 @ W2 ) ) ) ) ))).
% 0.59/0.93 thf(zf_stmt_8, axiom,
% 0.59/0.93 (![W3:$i,W1:$i,W0:$i]:
% 0.59/0.93 ( ( zip_tseitin_0 @ W3 @ W1 @ W0 ) <=>
% 0.59/0.93 ( ( aElement0 @ W3 ) &
% 0.59/0.93 ( ( aElementOf0 @ W3 @ W0 ) | ( ( W3 ) = ( W1 ) ) ) ) ))).
% 0.59/0.93 thf(zip_derived_cl22, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 0.59/0.93 | ~ (aElementOf0 @ X0 @ X2)
% 0.59/0.93 | ~ (aElement0 @ X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.59/0.93 thf(zf_stmt_9, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.59/0.93 thf(zf_stmt_10, axiom,
% 0.59/0.93 (![W0:$i,W1:$i]:
% 0.59/0.93 ( ( ( aSet0 @ W0 ) & ( aElement0 @ W1 ) ) =>
% 0.59/0.93 ( ![W2:$i]:
% 0.59/0.93 ( ( ( W2 ) = ( sdtpldt0 @ W0 @ W1 ) ) <=>
% 0.59/0.93 ( ( aSet0 @ W2 ) &
% 0.59/0.93 ( ![W3:$i]:
% 0.59/0.93 ( ( aElementOf0 @ W3 @ W2 ) <=> ( zip_tseitin_0 @ W3 @ W1 @ W0 ) ) ) ) ) ) ))).
% 0.59/0.93 thf(zip_derived_cl25, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | ~ (aElement0 @ X1)
% 0.59/0.93 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0)
% 0.59/0.93 | (aElementOf0 @ X2 @ X3)
% 0.59/0.93 | ((X3) != (sdtpldt0 @ X0 @ X1)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.59/0.93 thf(zip_derived_cl587, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 ( (aElementOf0 @ X2 @ (sdtpldt0 @ X1 @ X0))
% 0.59/0.93 | ~ (zip_tseitin_0 @ X2 @ X0 @ X1)
% 0.59/0.93 | ~ (aElement0 @ X0)
% 0.59/0.93 | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('eq_res', [status(thm)], [zip_derived_cl25])).
% 0.59/0.93 thf(zip_derived_cl607, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 (~ (aElement0 @ X2)
% 0.59/0.93 | ~ (aElementOf0 @ X2 @ X0)
% 0.59/0.93 | (aElementOf0 @ X2 @ (sdtpldt0 @ X0 @ X1))
% 0.59/0.93 | ~ (aElement0 @ X1)
% 0.59/0.93 | ~ (aSet0 @ X0))),
% 0.59/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl587])).
% 0.59/0.93 thf(mEOfElem, axiom,
% 0.59/0.93 (![W0:$i]:
% 0.59/0.93 ( ( aSet0 @ W0 ) =>
% 0.59/0.93 ( ![W1:$i]: ( ( aElementOf0 @ W1 @ W0 ) => ( aElement0 @ W1 ) ) ) ))).
% 0.59/0.93 thf(zip_derived_cl2, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aElementOf0 @ X0 @ X1) | (aElement0 @ X0) | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('cnf', [status(esa)], [mEOfElem])).
% 0.59/0.93 thf(zip_derived_cl642, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | ~ (aElement0 @ X1)
% 0.59/0.93 | (aElementOf0 @ X2 @ (sdtpldt0 @ X0 @ X1))
% 0.59/0.93 | ~ (aElementOf0 @ X2 @ X0))),
% 0.59/0.93 inference('clc', [status(thm)], [zip_derived_cl607, zip_derived_cl2])).
% 0.59/0.93 thf(zip_derived_cl50, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 ( (zip_tseitin_4 @ X0)
% 0.59/0.93 | ((X0) = (xx))
% 0.59/0.93 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx))
% 0.59/0.93 | ~ (aElement0 @ X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.59/0.93 thf(zip_derived_cl55, plain,
% 0.59/0.93 (![X2 : $i]:
% 0.59/0.93 ( (aElementOf0 @ X2 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | ~ (zip_tseitin_4 @ X2))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl345, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aElement0 @ X0)
% 0.59/0.93 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx))
% 0.59/0.93 | ((X0) = (xx))
% 0.59/0.93 | (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.59/0.93 inference('dp-resolution', [status(thm)],
% 0.59/0.93 [zip_derived_cl50, zip_derived_cl55])).
% 0.59/0.93 thf(zip_derived_cl53, plain,
% 0.59/0.93 (![X1 : $i]:
% 0.59/0.93 ( (zip_tseitin_3 @ X1) | ~ (aElementOf0 @ X1 @ (sdtpldt0 @ xS @ xx)))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl44, plain,
% 0.59/0.93 (![X0 : $i]: ( (aElement0 @ X0) | ~ (zip_tseitin_3 @ X0))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.59/0.93 thf(zip_derived_cl350, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx)) | (aElement0 @ X0))),
% 0.59/0.93 inference('dp-resolution', [status(thm)],
% 0.59/0.93 [zip_derived_cl53, zip_derived_cl44])).
% 0.59/0.93 thf(zip_derived_cl570, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 ( (aElementOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | ((X0) = (xx))
% 0.59/0.93 | ~ (aElementOf0 @ X0 @ (sdtpldt0 @ xS @ xx)))),
% 0.59/0.93 inference('clc', [status(thm)], [zip_derived_cl345, zip_derived_cl350])).
% 0.59/0.93 thf(zip_derived_cl11, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | ~ (aElementOf0 @ (sk__1 @ X0 @ X1) @ X1)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ X1)
% 0.59/0.93 | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('cnf', [status(esa)], [mDefSub])).
% 0.59/0.93 thf(zip_derived_cl575, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aElementOf0 @
% 0.59/0.93 (sk__1 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) @
% 0.59/0.93 (sdtpldt0 @ xS @ xx))
% 0.59/0.93 | ((sk__1 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) = (xx))
% 0.59/0.93 | ~ (aSet0 @ X0)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | ~ (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.59/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl570, zip_derived_cl11])).
% 0.59/0.93 thf(zip_derived_cl57, plain,
% 0.59/0.93 ( (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl577, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aElementOf0 @
% 0.59/0.93 (sk__1 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) @
% 0.59/0.93 (sdtpldt0 @ xS @ xx))
% 0.59/0.93 | ((sk__1 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) = (xx))
% 0.59/0.93 | ~ (aSet0 @ X0)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl57])).
% 0.59/0.93 thf(zip_derived_cl733, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aElementOf0 @
% 0.59/0.93 (sk__1 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) @ xS)
% 0.59/0.93 | ~ (aElement0 @ xx)
% 0.59/0.93 | ~ (aSet0 @ xS)
% 0.59/0.93 | ((sk__1 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) = (xx))
% 0.59/0.93 | ~ (aSet0 @ X0)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.59/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl642, zip_derived_cl577])).
% 0.59/0.93 thf(zip_derived_cl39, plain, ( (aElement0 @ xx)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679])).
% 0.59/0.93 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679])).
% 0.59/0.93 thf(zip_derived_cl736, plain,
% 0.59/0.93 (![X0 : $i]:
% 0.59/0.93 (~ (aElementOf0 @
% 0.59/0.93 (sk__1 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) @ xS)
% 0.59/0.93 | ((sk__1 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) = (xx))
% 0.59/0.93 | ~ (aSet0 @ X0)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl733, zip_derived_cl39, zip_derived_cl38])).
% 0.59/0.93 thf(zip_derived_cl1092, plain,
% 0.59/0.93 ((~ (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | (aSubsetOf0 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | ~ (aSet0 @ xS)
% 0.59/0.93 | ((sk__1 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) = (xx))
% 0.59/0.93 | ~ (aSet0 @ xS)
% 0.59/0.93 | (aSubsetOf0 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.59/0.93 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl736])).
% 0.59/0.93 thf(zip_derived_cl57, plain,
% 0.59/0.93 ( (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl934, plain,
% 0.59/0.93 (~ (aSubsetOf0 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('simplify_reflect-', [status(thm)],
% 0.59/0.93 [zip_derived_cl933, zip_derived_cl54])).
% 0.59/0.93 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679])).
% 0.59/0.93 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679])).
% 0.59/0.93 thf(zip_derived_cl934, plain,
% 0.59/0.93 (~ (aSubsetOf0 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('simplify_reflect-', [status(thm)],
% 0.59/0.93 [zip_derived_cl933, zip_derived_cl54])).
% 0.59/0.93 thf(zip_derived_cl1096, plain,
% 0.59/0.93 (((sk__1 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)) = (xx))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl1092, zip_derived_cl57, zip_derived_cl934,
% 0.59/0.93 zip_derived_cl38, zip_derived_cl38, zip_derived_cl934])).
% 0.59/0.93 thf(zip_derived_cl12, plain,
% 0.59/0.93 (![X0 : $i, X1 : $i]:
% 0.59/0.93 (~ (aSet0 @ X0)
% 0.59/0.93 | (aElementOf0 @ (sk__1 @ X0 @ X1) @ X0)
% 0.59/0.93 | (aSubsetOf0 @ X0 @ X1)
% 0.59/0.93 | ~ (aSet0 @ X1))),
% 0.59/0.93 inference('cnf', [status(esa)], [mDefSub])).
% 0.59/0.93 thf(zip_derived_cl1112, plain,
% 0.59/0.93 ((~ (aSet0 @ xS)
% 0.59/0.93 | (aElementOf0 @ xx @ xS)
% 0.59/0.93 | (aSubsetOf0 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))
% 0.59/0.93 | ~ (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx)))),
% 0.59/0.93 inference('s_sup+', [status(thm)], [zip_derived_cl1096, zip_derived_cl12])).
% 0.59/0.93 thf(zip_derived_cl38, plain, ( (aSet0 @ xS)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679])).
% 0.59/0.93 thf(m__679_02, axiom, (~( aElementOf0 @ xx @ xS ))).
% 0.59/0.93 thf(zip_derived_cl40, plain, (~ (aElementOf0 @ xx @ xS)),
% 0.59/0.93 inference('cnf', [status(esa)], [m__679_02])).
% 0.59/0.93 thf(zip_derived_cl57, plain,
% 0.59/0.93 ( (aSet0 @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.59/0.93 thf(zip_derived_cl1118, plain,
% 0.59/0.93 ( (aSubsetOf0 @ xS @ (sdtmndt0 @ (sdtpldt0 @ xS @ xx) @ xx))),
% 0.59/0.93 inference('demod', [status(thm)],
% 0.59/0.93 [zip_derived_cl1112, zip_derived_cl38, zip_derived_cl40,
% 0.59/0.93 zip_derived_cl57])).
% 0.59/0.93 thf(zip_derived_cl1124, plain, ($false),
% 0.59/0.93 inference('demod', [status(thm)], [zip_derived_cl934, zip_derived_cl1118])).
% 0.59/0.93
% 0.59/0.93 % SZS output end Refutation
% 0.59/0.93
% 0.59/0.93
% 0.59/0.93 % Terminating...
% 0.60/0.97 % Runner terminated.
% 0.60/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------