%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM566+3 : 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.UcceoxYM8E true
% Computer : n012.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 04:47:28 PM UTC 2025
% Result : Theorem 1.25s 1.13s
% Output : Refutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM566+3 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UcceoxYM8E true
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:21:08 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.63/0.63 % Total configuration time : 435
% 0.63/0.63 % Estimated wc time : 1092
% 0.63/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.25/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.25/1.13 % Solved by fo/fo3_bce.sh.
% 1.25/1.13 % BCE start: 227
% 1.25/1.13 % BCE eliminated: 0
% 1.25/1.13 % PE start: 227
% 1.25/1.13 logic: eq
% 1.25/1.13 % PE eliminated: -7
% 1.25/1.13 % done 273 iterations in 0.395s
% 1.25/1.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.25/1.13 % SZS output start Refutation
% 1.25/1.13 thf(zip_tseitin_21_type, type, zip_tseitin_21: $i > $o).
% 1.25/1.13 thf(aSet0_type, type, aSet0: $i > $o).
% 1.25/1.13 thf(szDzozmdt0_type, type, szDzozmdt0: $i > $i).
% 1.25/1.13 thf(aFunction0_type, type, aFunction0: $i > $o).
% 1.25/1.13 thf(slbdtsldtrb0_type, type, slbdtsldtrb0: $i > $i > $i).
% 1.25/1.13 thf(sz00_type, type, sz00: $i).
% 1.25/1.13 thf(sdtlpdtrp0_type, type, sdtlpdtrp0: $i > $i > $i).
% 1.25/1.13 thf(isCountable0_type, type, isCountable0: $i > $o).
% 1.25/1.13 thf(xc_type, type, xc: $i).
% 1.25/1.13 thf(zip_tseitin_22_type, type, zip_tseitin_22: $i > $o).
% 1.25/1.13 thf(sbrdtbr0_type, type, sbrdtbr0: $i > $i).
% 1.25/1.13 thf(xS_type, type, xS: $i).
% 1.25/1.13 thf(sk__26_type, type, sk__26: $i > $i > $i).
% 1.25/1.13 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 1.25/1.13 thf(slcrc0_type, type, slcrc0: $i).
% 1.25/1.13 thf(xT_type, type, xT: $i).
% 1.25/1.13 thf(xK_type, type, xK: $i).
% 1.25/1.13 thf(szNzAzT0_type, type, szNzAzT0: $i).
% 1.25/1.13 thf(zip_tseitin_20_type, type, zip_tseitin_20: $i > $o).
% 1.25/1.13 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 1.25/1.13 thf(zip_tseitin_19_type, type, zip_tseitin_19: $i > $i > $o).
% 1.25/1.13 thf(sdtlcdtrc0_type, type, sdtlcdtrc0: $i > $i > $i).
% 1.25/1.13 thf(mSubRefl, axiom,
% 1.25/1.13 (![W0:$i]: ( ( aSet0 @ W0 ) => ( aSubsetOf0 @ W0 @ W0 ) ))).
% 1.25/1.13 thf(zip_derived_cl16, plain,
% 1.25/1.13 (![X0 : $i]: ( (aSubsetOf0 @ X0 @ X0) | ~ (aSet0 @ X0))),
% 1.25/1.13 inference('cnf', [status(esa)], [mSubRefl])).
% 1.25/1.13 thf(m__3476, axiom,
% 1.25/1.13 (( aElementOf0 @ slcrc0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) &
% 1.25/1.13 ( aSubsetOf0 @ slcrc0 @ xS ) &
% 1.25/1.13 ( ![W0:$i]: ( ( aElementOf0 @ W0 @ slcrc0 ) => ( aElementOf0 @ W0 @ xS ) ) ) &
% 1.25/1.13 ( ~( ?[W0:$i]: ( aElementOf0 @ W0 @ slcrc0 ) ) ) & ( aSet0 @ slcrc0 ))).
% 1.25/1.13 thf(zip_derived_cl198, plain,
% 1.25/1.13 ( (aElementOf0 @ slcrc0 @ (slbdtsldtrb0 @ xS @ sz00))),
% 1.25/1.13 inference('cnf', [status(esa)], [m__3476])).
% 1.25/1.13 thf(m__3453, axiom,
% 1.25/1.13 (( aSubsetOf0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) @ xT ) &
% 1.25/1.13 ( ![W0:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) ) =>
% 1.25/1.13 ( aElementOf0 @ W0 @ xT ) ) ) &
% 1.25/1.13 ( ![W0:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) ) <=>
% 1.25/1.13 ( ?[W1:$i]:
% 1.25/1.13 ( ( ( sdtlpdtrp0 @ xc @ W1 ) = ( W0 ) ) &
% 1.25/1.13 ( aElementOf0 @ W1 @ ( szDzozmdt0 @ xc ) ) ) ) ) ) &
% 1.25/1.13 ( aSet0 @ ( sdtlcdtrc0 @ xc @ ( szDzozmdt0 @ xc ) ) ) &
% 1.25/1.13 ( ( szDzozmdt0 @ xc ) = ( slbdtsldtrb0 @ xS @ xK ) ) &
% 1.25/1.13 ( ![W0:$i]:
% 1.25/1.13 ( ( ( ( ( ( aSet0 @ W0 ) &
% 1.25/1.13 ( ![W1:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W1 @ W0 ) => ( aElementOf0 @ W1 @ xS ) ) ) ) |
% 1.25/1.13 ( aSubsetOf0 @ W0 @ xS ) ) &
% 1.25/1.13 ( ( sbrdtbr0 @ W0 ) = ( xK ) ) ) =>
% 1.25/1.13 ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) ) ) &
% 1.25/1.13 ( ( aElementOf0 @ W0 @ ( szDzozmdt0 @ xc ) ) =>
% 1.25/1.13 ( ( aSet0 @ W0 ) &
% 1.25/1.13 ( ![W1:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W1 @ W0 ) => ( aElementOf0 @ W1 @ xS ) ) ) &
% 1.25/1.13 ( aSubsetOf0 @ W0 @ xS ) & ( ( sbrdtbr0 @ W0 ) = ( xK ) ) ) ) ) ) &
% 1.25/1.13 ( aFunction0 @ xc ))).
% 1.25/1.13 thf(zip_derived_cl145, plain,
% 1.25/1.13 (((szDzozmdt0 @ xc) = (slbdtsldtrb0 @ xS @ xK))),
% 1.25/1.13 inference('cnf', [status(esa)], [m__3453])).
% 1.25/1.13 thf(m__3462, axiom, (( xK ) = ( sz00 ))).
% 1.25/1.13 thf(zip_derived_cl193, plain, (((xK) = (sz00))),
% 1.25/1.13 inference('cnf', [status(esa)], [m__3462])).
% 1.25/1.13 thf(zip_derived_cl2829, plain,
% 1.25/1.13 (((szDzozmdt0 @ xc) = (slbdtsldtrb0 @ xS @ sz00))),
% 1.25/1.13 inference('demod', [status(thm)], [zip_derived_cl145, zip_derived_cl193])).
% 1.25/1.13 thf(zip_derived_cl2946, plain, ( (aElementOf0 @ slcrc0 @ (szDzozmdt0 @ xc))),
% 1.25/1.13 inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl2829])).
% 1.25/1.13 thf(zip_derived_cl137, plain, ( (aFunction0 @ xc)),
% 1.25/1.13 inference('cnf', [status(esa)], [m__3453])).
% 1.25/1.13 thf(mImgRng, axiom,
% 1.25/1.13 (![W0:$i]:
% 1.25/1.13 ( ( aFunction0 @ W0 ) =>
% 1.25/1.13 ( ![W1:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W1 @ ( szDzozmdt0 @ W0 ) ) =>
% 1.25/1.13 ( aElementOf0 @
% 1.25/1.13 ( sdtlpdtrp0 @ W0 @ W1 ) @
% 1.25/1.13 ( sdtlcdtrc0 @ W0 @ ( szDzozmdt0 @ W0 ) ) ) ) ) ))).
% 1.25/1.13 thf(zip_derived_cl123, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (~ (aElementOf0 @ X0 @ (szDzozmdt0 @ X1))
% 1.25/1.13 | (aElementOf0 @ (sdtlpdtrp0 @ X1 @ X0) @
% 1.25/1.13 (sdtlcdtrc0 @ X1 @ (szDzozmdt0 @ X1)))
% 1.25/1.13 | ~ (aFunction0 @ X1))),
% 1.25/1.13 inference('cnf', [status(esa)], [mImgRng])).
% 1.25/1.13 thf(zip_derived_cl2228, plain,
% 1.25/1.13 (![X0 : $i]:
% 1.25/1.13 ( (aElementOf0 @ (sdtlpdtrp0 @ xc @ X0) @
% 1.25/1.13 (sdtlcdtrc0 @ xc @ (szDzozmdt0 @ xc)))
% 1.25/1.13 | ~ (aElementOf0 @ X0 @ (szDzozmdt0 @ xc)))),
% 1.25/1.13 inference('dp-resolution', [status(thm)],
% 1.25/1.13 [zip_derived_cl137, zip_derived_cl123])).
% 1.25/1.13 thf(zip_derived_cl150, plain,
% 1.25/1.13 (![X0 : $i]:
% 1.25/1.13 ( (aElementOf0 @ X0 @ xT)
% 1.25/1.13 | ~ (aElementOf0 @ X0 @ (sdtlcdtrc0 @ xc @ (szDzozmdt0 @ xc))))),
% 1.25/1.13 inference('cnf', [status(esa)], [m__3453])).
% 1.25/1.13 thf(zip_derived_cl3629, plain,
% 1.25/1.13 (![X0 : $i]:
% 1.25/1.13 (~ (aElementOf0 @ X0 @ (szDzozmdt0 @ xc))
% 1.25/1.13 | (aElementOf0 @ (sdtlpdtrp0 @ xc @ X0) @ xT))),
% 1.25/1.13 inference('sup-', [status(thm)], [zip_derived_cl2228, zip_derived_cl150])).
% 1.25/1.13 thf(m__, conjecture,
% 1.25/1.13 (?[W0:$i]:
% 1.25/1.13 ( ( ?[W1:$i]:
% 1.25/1.13 ( ( ![W2:$i]:
% 1.25/1.13 ( ( ( aSet0 @ W2 ) &
% 1.25/1.13 ( ![W3:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W3 @ W2 ) => ( aElementOf0 @ W3 @ W1 ) ) ) &
% 1.25/1.13 ( aSubsetOf0 @ W2 @ W1 ) & ( ( sbrdtbr0 @ W2 ) = ( xK ) ) &
% 1.25/1.13 ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) ) ) =>
% 1.25/1.13 ( ( sdtlpdtrp0 @ xc @ W2 ) = ( W0 ) ) ) ) &
% 1.25/1.13 ( isCountable0 @ W1 ) &
% 1.25/1.13 ( ( aSubsetOf0 @ W1 @ xS ) |
% 1.25/1.13 ( ( ![W2:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W2 @ W1 ) => ( aElementOf0 @ W2 @ xS ) ) ) &
% 1.25/1.13 ( aSet0 @ W1 ) ) ) ) ) &
% 1.25/1.13 ( aElementOf0 @ W0 @ xT ) ))).
% 1.25/1.13 thf(zf_stmt_0, negated_conjecture,
% 1.25/1.13 (~( ?[W0:$i]:
% 1.25/1.13 ( ( ?[W1:$i]:
% 1.25/1.13 ( ( ![W2:$i]:
% 1.25/1.13 ( ( ( aSet0 @ W2 ) &
% 1.25/1.13 ( ![W3:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W3 @ W2 ) => ( aElementOf0 @ W3 @ W1 ) ) ) &
% 1.25/1.13 ( aSubsetOf0 @ W2 @ W1 ) &
% 1.25/1.13 ( ( sbrdtbr0 @ W2 ) = ( xK ) ) &
% 1.25/1.13 ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xK ) ) ) =>
% 1.25/1.13 ( ( sdtlpdtrp0 @ xc @ W2 ) = ( W0 ) ) ) ) &
% 1.25/1.13 ( isCountable0 @ W1 ) &
% 1.25/1.13 ( ( aSubsetOf0 @ W1 @ xS ) |
% 1.25/1.13 ( ( ![W2:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W2 @ W1 ) => ( aElementOf0 @ W2 @ xS ) ) ) &
% 1.25/1.13 ( aSet0 @ W1 ) ) ) ) ) &
% 1.25/1.13 ( aElementOf0 @ W0 @ xT ) ) )),
% 1.25/1.13 inference('cnf.neg', [status(esa)], [m__])).
% 1.25/1.13 thf(zip_derived_cl211, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (~ (aSubsetOf0 @ X0 @ xS)
% 1.25/1.13 | ~ (isCountable0 @ X0)
% 1.25/1.13 | ((sbrdtbr0 @ (sk__26 @ X0 @ X1)) = (xK))
% 1.25/1.13 | ~ (aElementOf0 @ X1 @ xT))),
% 1.25/1.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.25/1.13 thf(zip_derived_cl193, plain, (((xK) = (sz00))),
% 1.25/1.13 inference('cnf', [status(esa)], [m__3462])).
% 1.25/1.13 thf(zip_derived_cl3693, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (~ (aSubsetOf0 @ X0 @ xS)
% 1.25/1.13 | ~ (isCountable0 @ X0)
% 1.25/1.13 | ((sbrdtbr0 @ (sk__26 @ X0 @ X1)) = (sz00))
% 1.25/1.13 | ~ (aElementOf0 @ X1 @ xT))),
% 1.25/1.13 inference('demod', [status(thm)], [zip_derived_cl211, zip_derived_cl193])).
% 1.25/1.13 thf(mCardEmpty, axiom,
% 1.25/1.13 (![W0:$i]:
% 1.25/1.13 ( ( aSet0 @ W0 ) =>
% 1.25/1.13 ( ( ( sbrdtbr0 @ W0 ) = ( sz00 ) ) <=> ( ( W0 ) = ( slcrc0 ) ) ) ))).
% 1.25/1.13 thf(zip_derived_cl68, plain,
% 1.25/1.13 (![X0 : $i]:
% 1.25/1.13 (((sbrdtbr0 @ X0) != (sz00)) | ((X0) = (slcrc0)) | ~ (aSet0 @ X0))),
% 1.25/1.13 inference('cnf', [status(esa)], [mCardEmpty])).
% 1.25/1.13 thf(zip_derived_cl3697, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (((sz00) != (sz00))
% 1.25/1.13 | ~ (aElementOf0 @ X0 @ xT)
% 1.25/1.13 | ~ (isCountable0 @ X1)
% 1.25/1.13 | ~ (aSubsetOf0 @ X1 @ xS)
% 1.25/1.13 | ~ (aSet0 @ (sk__26 @ X1 @ X0))
% 1.25/1.13 | ((sk__26 @ X1 @ X0) = (slcrc0)))),
% 1.25/1.13 inference('sup-', [status(thm)], [zip_derived_cl3693, zip_derived_cl68])).
% 1.25/1.13 thf(zip_derived_cl3703, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (((sk__26 @ X1 @ X0) = (slcrc0))
% 1.25/1.13 | ~ (aSet0 @ (sk__26 @ X1 @ X0))
% 1.25/1.13 | ~ (aSubsetOf0 @ X1 @ xS)
% 1.25/1.13 | ~ (isCountable0 @ X1)
% 1.25/1.13 | ~ (aElementOf0 @ X0 @ xT))),
% 1.25/1.13 inference('simplify', [status(thm)], [zip_derived_cl3697])).
% 1.25/1.13 thf(zip_derived_cl214, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (~ (aSubsetOf0 @ X0 @ xS)
% 1.25/1.13 | ~ (isCountable0 @ X0)
% 1.25/1.13 | (aSet0 @ (sk__26 @ X0 @ X1))
% 1.25/1.13 | ~ (aElementOf0 @ X1 @ xT))),
% 1.25/1.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.25/1.13 thf(zip_derived_cl3759, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (~ (aElementOf0 @ X0 @ xT)
% 1.25/1.13 | ~ (isCountable0 @ X1)
% 1.25/1.13 | ~ (aSubsetOf0 @ X1 @ xS)
% 1.25/1.13 | ((sk__26 @ X1 @ X0) = (slcrc0)))),
% 1.25/1.13 inference('clc', [status(thm)], [zip_derived_cl3703, zip_derived_cl214])).
% 1.25/1.13 thf(zip_derived_cl209, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (~ (aSubsetOf0 @ X0 @ xS)
% 1.25/1.13 | ~ (isCountable0 @ X0)
% 1.25/1.13 | ((sdtlpdtrp0 @ xc @ (sk__26 @ X0 @ X1)) != (X1))
% 1.25/1.13 | ~ (aElementOf0 @ X1 @ xT))),
% 1.25/1.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.25/1.13 thf(zip_derived_cl3760, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (((sdtlpdtrp0 @ xc @ slcrc0) != (X0))
% 1.25/1.13 | ~ (aSubsetOf0 @ X1 @ xS)
% 1.25/1.13 | ~ (isCountable0 @ X1)
% 1.25/1.13 | ~ (aElementOf0 @ X0 @ xT)
% 1.25/1.13 | ~ (aElementOf0 @ X0 @ xT)
% 1.25/1.13 | ~ (isCountable0 @ X1)
% 1.25/1.13 | ~ (aSubsetOf0 @ X1 @ xS))),
% 1.25/1.13 inference('sup-', [status(thm)], [zip_derived_cl3759, zip_derived_cl209])).
% 1.25/1.13 thf(zip_derived_cl3766, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (~ (aElementOf0 @ X0 @ xT)
% 1.25/1.13 | ~ (isCountable0 @ X1)
% 1.25/1.13 | ~ (aSubsetOf0 @ X1 @ xS)
% 1.25/1.13 | ((sdtlpdtrp0 @ xc @ slcrc0) != (X0)))),
% 1.25/1.13 inference('simplify', [status(thm)], [zip_derived_cl3760])).
% 1.25/1.13 thf(zip_derived_cl3886, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (~ (aElementOf0 @ X0 @ (szDzozmdt0 @ xc))
% 1.25/1.13 | ((sdtlpdtrp0 @ xc @ slcrc0) != (sdtlpdtrp0 @ xc @ X0))
% 1.25/1.13 | ~ (aSubsetOf0 @ X1 @ xS)
% 1.25/1.13 | ~ (isCountable0 @ X1))),
% 1.25/1.13 inference('sup-', [status(thm)], [zip_derived_cl3629, zip_derived_cl3766])).
% 1.25/1.13 thf(m__3507, axiom,
% 1.25/1.13 (![W0:$i]:
% 1.25/1.13 ( ( ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) |
% 1.25/1.13 ( ( ( sbrdtbr0 @ W0 ) = ( sz00 ) ) &
% 1.25/1.13 ( ( aSubsetOf0 @ W0 @ xS ) |
% 1.25/1.13 ( ( ![W1:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W1 @ W0 ) => ( aElementOf0 @ W1 @ xS ) ) ) &
% 1.25/1.13 ( aSet0 @ W0 ) ) ) ) ) =>
% 1.25/1.13 ( ( ( sdtlpdtrp0 @ xc @ W0 ) = ( sdtlpdtrp0 @ xc @ slcrc0 ) ) &
% 1.25/1.13 ( ~( ?[W1:$i]: ( aElementOf0 @ W1 @ slcrc0 ) ) ) & ( aSet0 @ slcrc0 ) ) ))).
% 1.25/1.13 thf(zf_stmt_1, axiom,
% 1.25/1.13 (![W0:$i]:
% 1.25/1.13 ( ( ( ( zip_tseitin_20 @ W0 ) & ( ( sbrdtbr0 @ W0 ) = ( sz00 ) ) ) |
% 1.25/1.13 ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xS @ sz00 ) ) ) =>
% 1.25/1.13 ( zip_tseitin_21 @ W0 ) ))).
% 1.25/1.13 thf(zip_derived_cl204, plain,
% 1.25/1.13 (![X0 : $i]:
% 1.25/1.13 ( (zip_tseitin_21 @ X0)
% 1.25/1.13 | ~ (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xS @ sz00)))),
% 1.25/1.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.25/1.13 thf(zf_stmt_2, type, zip_tseitin_22 : $i > $o).
% 1.25/1.13 thf(zf_stmt_3, axiom,
% 1.25/1.13 (![W0:$i]:
% 1.25/1.13 ( ( zip_tseitin_22 @ W0 ) =>
% 1.25/1.13 ( ( aSet0 @ slcrc0 ) &
% 1.25/1.13 ( ~( ?[W1:$i]: ( aElementOf0 @ W1 @ slcrc0 ) ) ) &
% 1.25/1.13 ( ( sdtlpdtrp0 @ xc @ W0 ) = ( sdtlpdtrp0 @ xc @ slcrc0 ) ) ) ))).
% 1.25/1.13 thf(zf_stmt_4, type, zip_tseitin_21 : $i > $o).
% 1.25/1.13 thf(zf_stmt_5, type, zip_tseitin_20 : $i > $o).
% 1.25/1.13 thf(zf_stmt_6, axiom,
% 1.25/1.13 (![W0:$i]:
% 1.25/1.13 ( ( ( ( aSet0 @ W0 ) & ( ![W1:$i]: ( zip_tseitin_19 @ W1 @ W0 ) ) ) |
% 1.25/1.13 ( aSubsetOf0 @ W0 @ xS ) ) =>
% 1.25/1.13 ( zip_tseitin_20 @ W0 ) ))).
% 1.25/1.13 thf(zf_stmt_7, type, zip_tseitin_19 : $i > $i > $o).
% 1.25/1.13 thf(zf_stmt_8, axiom,
% 1.25/1.13 (![W1:$i,W0:$i]:
% 1.25/1.13 ( ( ( aElementOf0 @ W1 @ W0 ) => ( aElementOf0 @ W1 @ xS ) ) =>
% 1.25/1.13 ( zip_tseitin_19 @ W1 @ W0 ) ))).
% 1.25/1.13 thf(zf_stmt_9, axiom,
% 1.25/1.13 (![W0:$i]: ( ( zip_tseitin_21 @ W0 ) => ( zip_tseitin_22 @ W0 ) ))).
% 1.25/1.13 thf(zip_derived_cl208, plain,
% 1.25/1.13 (![X0 : $i]: ( (zip_tseitin_22 @ X0) | ~ (zip_tseitin_21 @ X0))),
% 1.25/1.13 inference('cnf', [status(esa)], [zf_stmt_9])).
% 1.25/1.13 thf(zip_derived_cl1538, plain,
% 1.25/1.13 (![X0 : $i]:
% 1.25/1.13 (~ (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xS @ sz00))
% 1.25/1.13 | (zip_tseitin_22 @ X0))),
% 1.25/1.13 inference('dp-resolution', [status(thm)],
% 1.25/1.13 [zip_derived_cl204, zip_derived_cl208])).
% 1.25/1.13 thf(zip_derived_cl207, plain,
% 1.25/1.13 (![X0 : $i]:
% 1.25/1.13 (((sdtlpdtrp0 @ xc @ X0) = (sdtlpdtrp0 @ xc @ slcrc0))
% 1.25/1.13 | ~ (zip_tseitin_22 @ X0))),
% 1.25/1.13 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.25/1.13 thf(zip_derived_cl1579, plain,
% 1.25/1.13 (![X0 : $i]:
% 1.25/1.13 (~ (aElementOf0 @ X0 @ (slbdtsldtrb0 @ xS @ sz00))
% 1.25/1.13 | ((sdtlpdtrp0 @ xc @ X0) = (sdtlpdtrp0 @ xc @ slcrc0)))),
% 1.25/1.13 inference('dp-resolution', [status(thm)],
% 1.25/1.13 [zip_derived_cl1538, zip_derived_cl207])).
% 1.25/1.13 thf(zip_derived_cl2829, plain,
% 1.25/1.13 (((szDzozmdt0 @ xc) = (slbdtsldtrb0 @ xS @ sz00))),
% 1.25/1.13 inference('demod', [status(thm)], [zip_derived_cl145, zip_derived_cl193])).
% 1.25/1.13 thf(zip_derived_cl3085, plain,
% 1.25/1.13 (![X0 : $i]:
% 1.25/1.13 (~ (aElementOf0 @ X0 @ (szDzozmdt0 @ xc))
% 1.25/1.13 | ((sdtlpdtrp0 @ xc @ X0) = (sdtlpdtrp0 @ xc @ slcrc0)))),
% 1.25/1.13 inference('demod', [status(thm)],
% 1.25/1.13 [zip_derived_cl1579, zip_derived_cl2829])).
% 1.25/1.13 thf(zip_derived_cl3919, plain,
% 1.25/1.13 (![X0 : $i, X1 : $i]:
% 1.25/1.13 (~ (isCountable0 @ X1)
% 1.25/1.13 | ~ (aSubsetOf0 @ X1 @ xS)
% 1.25/1.13 | ~ (aElementOf0 @ X0 @ (szDzozmdt0 @ xc)))),
% 1.25/1.13 inference('clc', [status(thm)], [zip_derived_cl3886, zip_derived_cl3085])).
% 1.25/1.13 thf(zip_derived_cl3920, plain,
% 1.25/1.13 (![X0 : $i]: (~ (aSubsetOf0 @ X0 @ xS) | ~ (isCountable0 @ X0))),
% 1.25/1.13 inference('sup-', [status(thm)], [zip_derived_cl2946, zip_derived_cl3919])).
% 1.25/1.13 thf(zip_derived_cl3932, plain, ((~ (aSet0 @ xS) | ~ (isCountable0 @ xS))),
% 1.25/1.13 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl3920])).
% 1.25/1.13 thf(m__3435, axiom,
% 1.25/1.13 (( isCountable0 @ xS ) & ( aSubsetOf0 @ xS @ szNzAzT0 ) &
% 1.25/1.13 ( ![W0:$i]:
% 1.25/1.13 ( ( aElementOf0 @ W0 @ xS ) => ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) &
% 1.25/1.13 ( aSet0 @ xS ))).
% 1.25/1.13 thf(zip_derived_cl133, plain, ( (aSet0 @ xS)),
% 1.25/1.13 inference('cnf', [status(esa)], [m__3435])).
% 1.25/1.13 thf(zip_derived_cl136, plain, ( (isCountable0 @ xS)),
% 1.25/1.13 inference('cnf', [status(esa)], [m__3435])).
% 1.25/1.13 thf(zip_derived_cl3937, plain, ($false),
% 1.25/1.13 inference('demod', [status(thm)],
% 1.25/1.13 [zip_derived_cl3932, zip_derived_cl133, zip_derived_cl136])).
% 1.25/1.13
% 1.25/1.13 % SZS output end Refutation
% 1.25/1.13
% 1.25/1.13
% 1.25/1.13 % Terminating...
% 4.71/1.27 % Runner terminated.
% 4.71/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------