%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM450+6 : 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.gXjNySSxjT true
% Computer : n031.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 04:47:01 PM UTC 2025
% Result : Theorem 0.56s 1.02s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM450+6 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.gXjNySSxjT true
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:34:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/1.02 % Solved by fo/fo5.sh.
% 0.56/1.02 % done 385 iterations in 0.242s
% 0.56/1.02 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.02 % SZS output start Refutation
% 0.56/1.02 thf(smndt0_type, type, smndt0: $i > $i).
% 0.56/1.02 thf(isOpen0_type, type, isOpen0: $i > $o).
% 0.56/1.02 thf(sdtasdt0_type, type, sdtasdt0: $i > $i > $i).
% 0.56/1.02 thf(aInteger0_type, type, aInteger0: $i > $o).
% 0.56/1.02 thf(cS2043_type, type, cS2043: $i).
% 0.56/1.02 thf(sz10_type, type, sz10: $i).
% 0.56/1.02 thf(xS_type, type, xS: $i).
% 0.56/1.02 thf(zip_tseitin_9_type, type, zip_tseitin_9: $i > $o).
% 0.56/1.02 thf(cS2076_type, type, cS2076: $i).
% 0.56/1.02 thf(sz00_type, type, sz00: $i).
% 0.56/1.02 thf(sdtpldt0_type, type, sdtpldt0: $i > $i > $i).
% 0.56/1.02 thf(sbsmnsldt0_type, type, sbsmnsldt0: $i > $i).
% 0.56/1.02 thf(szAzrzSzezqlpdtcmdtrp0_type, type, szAzrzSzezqlpdtcmdtrp0: $i > $i > $i).
% 0.56/1.02 thf(stldt0_type, type, stldt0: $i > $i).
% 0.56/1.02 thf(aSubsetOf0_type, type, aSubsetOf0: $i > $i > $o).
% 0.56/1.02 thf(aElementOf0_type, type, aElementOf0: $i > $i > $o).
% 0.56/1.02 thf(isPrime0_type, type, isPrime0: $i > $o).
% 0.56/1.02 thf(aDivisorOf0_type, type, aDivisorOf0: $i > $i > $o).
% 0.56/1.02 thf(zip_tseitin_8_type, type, zip_tseitin_8: $i > $o).
% 0.56/1.02 thf(sdteqdtlpzmzozddtrp0_type, type, sdteqdtlpzmzozddtrp0: $i > $i > $i > $o).
% 0.56/1.02 thf(isClosed0_type, type, isClosed0: $i > $o).
% 0.56/1.02 thf(aSet0_type, type, aSet0: $i > $o).
% 0.56/1.02 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $i > $o).
% 0.56/1.02 thf(sk__22_type, type, sk__22: $i > $i).
% 0.56/1.02 thf(m__2079, axiom,
% 0.56/1.02 (( ( stldt0 @ ( sbsmnsldt0 @ xS ) ) = ( cS2076 ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 0.56/1.02 ( ( ( W0 ) = ( sz10 ) ) | ( ( W0 ) = ( smndt0 @ sz10 ) ) ) ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 0.56/1.02 ( ( aInteger0 @ W0 ) & ( ~( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) &
% 0.56/1.02 ( aSet0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) <=>
% 0.56/1.02 ( ( aInteger0 @ W0 ) &
% 0.56/1.02 ( ?[W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ W1 ) & ( aElementOf0 @ W1 @ xS ) ) ) ) ) ) &
% 0.56/1.02 ( aSet0 @ ( sbsmnsldt0 @ xS ) ))).
% 0.56/1.02 thf(zip_derived_cl144, plain,
% 0.56/1.02 (![X0 : $i]:
% 0.56/1.02 ( (aElementOf0 @ X0 @ (stldt0 @ (sbsmnsldt0 @ xS))) | ((X0) != (sz10)))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2079])).
% 0.56/1.02 thf(m__2046, axiom,
% 0.56/1.02 (( ( xS ) = ( cS2043 ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( ( ?[W1:$i]:
% 0.56/1.02 ( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) &
% 0.56/1.02 ( ![W2:$i]:
% 0.56/1.02 ( ( ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ( ?[W3:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W1 @ W3 ) =
% 0.56/1.02 ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W3 ) ) ) |
% 0.56/1.02 ( aDivisorOf0 @
% 0.56/1.02 W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) |
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) ) =>
% 0.56/1.02 ( aElementOf0 @
% 0.56/1.02 W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) ) &
% 0.56/1.02 ( ( aElementOf0 @
% 0.56/1.02 W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) =>
% 0.56/1.02 ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ?[W3:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W1 @ W3 ) =
% 0.56/1.02 ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W3 ) ) ) &
% 0.56/1.02 ( aDivisorOf0 @
% 0.56/1.02 W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) &
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) ) ) ) ) =>
% 0.56/1.02 ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) = ( W0 ) ) ) &
% 0.56/1.02 ( isPrime0 @ W1 ) & ( ( W1 ) != ( sz00 ) ) & ( aInteger0 @ W1 ) ) ) =>
% 0.56/1.02 ( aElementOf0 @ W0 @ xS ) ) &
% 0.56/1.02 ( ( aElementOf0 @ W0 @ xS ) =>
% 0.56/1.02 ( ?[W1:$i]:
% 0.56/1.02 ( ( ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) = ( W0 ) ) &
% 0.56/1.02 ( ![W2:$i]:
% 0.56/1.02 ( ( ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ( ?[W3:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W1 @ W3 ) =
% 0.56/1.02 ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W3 ) ) ) |
% 0.56/1.02 ( aDivisorOf0 @
% 0.56/1.02 W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) |
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) ) =>
% 0.56/1.02 ( aElementOf0 @
% 0.56/1.02 W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) ) &
% 0.56/1.02 ( ( aElementOf0 @
% 0.56/1.02 W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) =>
% 0.56/1.02 ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ?[W3:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W1 @ W3 ) =
% 0.56/1.02 ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W3 ) ) ) &
% 0.56/1.02 ( aDivisorOf0 @
% 0.56/1.02 W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ sz00 ) ) ) &
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W2 @ sz00 @ W1 ) ) ) ) ) &
% 0.56/1.02 ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz00 @ W1 ) ) &
% 0.56/1.02 ( isPrime0 @ W1 ) & ( ( W1 ) != ( sz00 ) ) & ( aInteger0 @ W1 ) ) ) ) ) ) &
% 0.56/1.02 ( aSet0 @ xS ))).
% 0.56/1.02 thf(zip_derived_cl134, plain, (((xS) = (cS2043))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2046])).
% 0.56/1.02 thf(zip_derived_cl147, plain, (((stldt0 @ (sbsmnsldt0 @ xS)) = (cS2076))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2079])).
% 0.56/1.02 thf(zip_derived_cl134, plain, (((xS) = (cS2043))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2046])).
% 0.56/1.02 thf(zip_derived_cl227, plain,
% 0.56/1.02 (((stldt0 @ (sbsmnsldt0 @ cS2043)) = (cS2076))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl134])).
% 0.56/1.02 thf(zip_derived_cl249, plain,
% 0.56/1.02 (![X0 : $i]: ( (aElementOf0 @ X0 @ cS2076) | ((X0) != (sz10)))),
% 0.56/1.02 inference('demod', [status(thm)],
% 0.56/1.02 [zip_derived_cl144, zip_derived_cl134, zip_derived_cl227])).
% 0.56/1.02 thf(zip_derived_cl250, plain, ( (aElementOf0 @ sz10 @ cS2076)),
% 0.56/1.02 inference('eq_res', [status(thm)], [zip_derived_cl249])).
% 0.56/1.02 thf(m__2144, axiom,
% 0.56/1.02 (( isClosed0 @ ( sbsmnsldt0 @ xS ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) =>
% 0.56/1.02 ( ?[W1:$i]:
% 0.56/1.02 ( ( aSubsetOf0 @
% 0.56/1.02 ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @
% 0.56/1.02 ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) &
% 0.56/1.02 ( ![W2:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) =>
% 0.56/1.02 ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) &
% 0.56/1.02 ( ![W2:$i]:
% 0.56/1.02 ( ( ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ( ?[W3:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W1 @ W3 ) =
% 0.56/1.02 ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W3 ) ) ) |
% 0.56/1.02 ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) |
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) =>
% 0.56/1.02 ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) &
% 0.56/1.02 ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) =>
% 0.56/1.02 ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ?[W3:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W1 @ W3 ) =
% 0.56/1.02 ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W3 ) ) ) &
% 0.56/1.02 ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) &
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) ) ) &
% 0.56/1.02 ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) &
% 0.56/1.02 ( ( W1 ) != ( sz00 ) ) & ( aInteger0 @ W1 ) ) ) ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) <=>
% 0.56/1.02 ( ( aInteger0 @ W0 ) &
% 0.56/1.02 ( ?[W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ W1 ) & ( aElementOf0 @ W1 @ xS ) ) ) ) ) ) &
% 0.56/1.02 ( isOpen0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) &
% 0.56/1.02 ( aSet0 @ ( sbsmnsldt0 @ xS ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) <=>
% 0.56/1.02 ( ( aInteger0 @ W0 ) &
% 0.56/1.02 ( ?[W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ W1 ) & ( aElementOf0 @ W1 @ xS ) ) ) ) ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 0.56/1.02 ( ( aInteger0 @ W0 ) & ( ~( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 0.56/1.02 ( ( aInteger0 @ W0 ) & ( ~( aElementOf0 @ W0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) &
% 0.56/1.02 ( ![W0:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W0 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) =>
% 0.56/1.02 ( ?[W1:$i]:
% 0.56/1.02 ( ( aSubsetOf0 @
% 0.56/1.02 ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) @
% 0.56/1.02 ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) &
% 0.56/1.02 ( ![W2:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) =>
% 0.56/1.02 ( aElementOf0 @ W2 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) &
% 0.56/1.02 ( ![W2:$i]:
% 0.56/1.02 ( ( ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ( ?[W3:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W1 @ W3 ) =
% 0.56/1.02 ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W3 ) ) ) |
% 0.56/1.02 ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) |
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) =>
% 0.56/1.02 ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) ) &
% 0.56/1.02 ( ( aElementOf0 @ W2 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) =>
% 0.56/1.02 ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ?[W3:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W1 @ W3 ) =
% 0.56/1.02 ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W3 ) ) ) &
% 0.56/1.02 ( aDivisorOf0 @ W1 @ ( sdtpldt0 @ W2 @ ( smndt0 @ W0 ) ) ) &
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W2 @ W0 @ W1 ) ) ) ) ) &
% 0.56/1.02 ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ W0 @ W1 ) ) &
% 0.56/1.02 ( ( W1 ) != ( sz00 ) ) & ( aInteger0 @ W1 ) ) ) ) ))).
% 0.56/1.02 thf(zip_derived_cl149, plain,
% 0.56/1.02 (![X0 : $i]:
% 0.56/1.02 ( (aSubsetOf0 @ (szAzrzSzezqlpdtcmdtrp0 @ X0 @ (sk__22 @ X0)) @
% 0.56/1.02 (stldt0 @ (sbsmnsldt0 @ xS)))
% 0.56/1.02 | ~ (aElementOf0 @ X0 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2144])).
% 0.56/1.02 thf(zip_derived_cl134, plain, (((xS) = (cS2043))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2046])).
% 0.56/1.02 thf(zip_derived_cl227, plain,
% 0.56/1.02 (((stldt0 @ (sbsmnsldt0 @ cS2043)) = (cS2076))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl134])).
% 0.56/1.02 thf(zip_derived_cl134, plain, (((xS) = (cS2043))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2046])).
% 0.56/1.02 thf(zip_derived_cl227, plain,
% 0.56/1.02 (((stldt0 @ (sbsmnsldt0 @ cS2043)) = (cS2076))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl134])).
% 0.56/1.02 thf(zip_derived_cl1802, plain,
% 0.56/1.02 (![X0 : $i]:
% 0.56/1.02 ( (aSubsetOf0 @ (szAzrzSzezqlpdtcmdtrp0 @ X0 @ (sk__22 @ X0)) @ cS2076)
% 0.56/1.02 | ~ (aElementOf0 @ X0 @ cS2076))),
% 0.56/1.02 inference('demod', [status(thm)],
% 0.56/1.02 [zip_derived_cl149, zip_derived_cl134, zip_derived_cl227,
% 0.56/1.02 zip_derived_cl134, zip_derived_cl227])).
% 0.56/1.02 thf(zip_derived_cl1805, plain,
% 0.56/1.02 ( (aSubsetOf0 @ (szAzrzSzezqlpdtcmdtrp0 @ sz10 @ (sk__22 @ sz10)) @
% 0.56/1.02 cS2076)),
% 0.56/1.02 inference('sup-', [status(thm)], [zip_derived_cl250, zip_derived_cl1802])).
% 0.56/1.02 thf(m__, conjecture,
% 0.56/1.02 (?[W0:$i]:
% 0.56/1.02 ( ( aInteger0 @ W0 ) & ( ( W0 ) != ( sz00 ) ) &
% 0.56/1.02 ( ( ( ![W1:$i]:
% 0.56/1.02 ( ( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) =>
% 0.56/1.02 ( ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) &
% 0.56/1.02 ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) &
% 0.56/1.02 ( ?[W2:$i]:
% 0.56/1.02 ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ( sdtasdt0 @ W0 @ W2 ) =
% 0.56/1.02 ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) ) ) &
% 0.56/1.02 ( aInteger0 @ W1 ) ) ) &
% 0.56/1.02 ( ( ( ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) |
% 0.56/1.02 ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) |
% 0.56/1.02 ( ?[W2:$i]:
% 0.56/1.02 ( ( aInteger0 @ W2 ) &
% 0.56/1.02 ( ( sdtasdt0 @ W0 @ W2 ) =
% 0.56/1.02 ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) ) ) ) &
% 0.56/1.02 ( aInteger0 @ W1 ) ) =>
% 0.56/1.02 ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) ) ) ) &
% 0.56/1.02 ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) ) =>
% 0.56/1.02 ( ( ( ![W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) ) <=>
% 0.56/1.02 ( ( ?[W2:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W2 @ xS ) & ( aElementOf0 @ W1 @ W2 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W1 ) ) ) ) &
% 0.56/1.02 ( aSet0 @ ( sbsmnsldt0 @ xS ) ) ) =>
% 0.56/1.02 ( ( ![W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 0.56/1.02 ( ( ~( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) ) ) &
% 0.56/1.02 ( aInteger0 @ W1 ) ) ) ) =>
% 0.56/1.02 ( ( aSubsetOf0 @
% 0.56/1.02 ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) @
% 0.56/1.02 ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) |
% 0.56/1.02 ( ![W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) =>
% 0.56/1.02 ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) ) ) ) ))).
% 0.56/1.02 thf(zf_stmt_0, type, zip_tseitin_9 : $i > $o).
% 0.56/1.02 thf(zf_stmt_1, axiom,
% 0.56/1.02 (![W1:$i]:
% 0.56/1.02 ( ( zip_tseitin_9 @ W1 ) <=>
% 0.56/1.02 ( ( aInteger0 @ W1 ) & ( ~( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) ) ) ) ))).
% 0.56/1.02 thf(zf_stmt_2, type, zip_tseitin_8 : $i > $o).
% 0.56/1.02 thf(zf_stmt_3, axiom,
% 0.56/1.02 (![W1:$i]:
% 0.56/1.02 ( ( zip_tseitin_8 @ W1 ) <=>
% 0.56/1.02 ( ( aInteger0 @ W1 ) & ( ?[W2:$i]: ( zip_tseitin_7 @ W2 @ W1 ) ) ) ))).
% 0.56/1.02 thf(zf_stmt_4, type, zip_tseitin_7 : $i > $i > $o).
% 0.56/1.02 thf(zf_stmt_5, axiom,
% 0.56/1.02 (![W2:$i,W1:$i]:
% 0.56/1.02 ( ( zip_tseitin_7 @ W2 @ W1 ) <=>
% 0.56/1.02 ( ( aElementOf0 @ W1 @ W2 ) & ( aElementOf0 @ W2 @ xS ) ) ))).
% 0.56/1.02 thf(zf_stmt_6, conjecture,
% 0.56/1.02 (?[W0:$i]:
% 0.56/1.02 ( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) &
% 0.56/1.02 ( ![W1:$i]:
% 0.56/1.02 ( ( ( ( aInteger0 @ W1 ) &
% 0.56/1.02 ( ( ?[W2:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W0 @ W2 ) =
% 0.56/1.02 ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W2 ) ) ) |
% 0.56/1.02 ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) |
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) ) ) =>
% 0.56/1.02 ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) ) &
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) =>
% 0.56/1.02 ( ( aInteger0 @ W1 ) &
% 0.56/1.02 ( ?[W2:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W0 @ W2 ) =
% 0.56/1.02 ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W2 ) ) ) &
% 0.56/1.02 ( aDivisorOf0 @ W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) &
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) ) ) ) ) ) =>
% 0.56/1.02 ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) ) &
% 0.56/1.02 ( ![W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) ) <=>
% 0.56/1.02 ( zip_tseitin_8 @ W1 ) ) ) ) =>
% 0.56/1.02 ( ( ![W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 0.56/1.02 ( zip_tseitin_9 @ W1 ) ) ) =>
% 0.56/1.02 ( ( ![W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) =>
% 0.56/1.02 ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) |
% 0.56/1.02 ( aSubsetOf0 @
% 0.56/1.02 ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) @
% 0.56/1.02 ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) ) &
% 0.56/1.02 ( ( W0 ) != ( sz00 ) ) & ( aInteger0 @ W0 ) ))).
% 0.56/1.02 thf(zf_stmt_7, negated_conjecture,
% 0.56/1.02 (~( ?[W0:$i]:
% 0.56/1.02 ( ( ( ( aSet0 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) &
% 0.56/1.02 ( ![W1:$i]:
% 0.56/1.02 ( ( ( ( aInteger0 @ W1 ) &
% 0.56/1.02 ( ( ?[W2:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W0 @ W2 ) =
% 0.56/1.02 ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W2 ) ) ) |
% 0.56/1.02 ( aDivisorOf0 @
% 0.56/1.02 W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) |
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) ) ) =>
% 0.56/1.02 ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) ) &
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) =>
% 0.56/1.02 ( ( aInteger0 @ W1 ) &
% 0.56/1.02 ( ?[W2:$i]:
% 0.56/1.02 ( ( ( sdtasdt0 @ W0 @ W2 ) =
% 0.56/1.02 ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) &
% 0.56/1.02 ( aInteger0 @ W2 ) ) ) &
% 0.56/1.02 ( aDivisorOf0 @
% 0.56/1.02 W0 @ ( sdtpldt0 @ W1 @ ( smndt0 @ sz10 ) ) ) &
% 0.56/1.02 ( sdteqdtlpzmzozddtrp0 @ W1 @ sz10 @ W0 ) ) ) ) ) ) =>
% 0.56/1.02 ( ( ( aSet0 @ ( sbsmnsldt0 @ xS ) ) &
% 0.56/1.02 ( ![W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( sbsmnsldt0 @ xS ) ) <=>
% 0.56/1.02 ( zip_tseitin_8 @ W1 ) ) ) ) =>
% 0.56/1.02 ( ( ![W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) <=>
% 0.56/1.02 ( zip_tseitin_9 @ W1 ) ) ) =>
% 0.56/1.02 ( ( ![W1:$i]:
% 0.56/1.02 ( ( aElementOf0 @
% 0.56/1.02 W1 @ ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) ) =>
% 0.56/1.02 ( aElementOf0 @ W1 @ ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) |
% 0.56/1.02 ( aSubsetOf0 @
% 0.56/1.02 ( szAzrzSzezqlpdtcmdtrp0 @ sz10 @ W0 ) @
% 0.56/1.02 ( stldt0 @ ( sbsmnsldt0 @ xS ) ) ) ) ) ) ) &
% 0.56/1.02 ( ( W0 ) != ( sz00 ) ) & ( aInteger0 @ W0 ) ) )),
% 0.56/1.02 inference('cnf.neg', [status(esa)], [zf_stmt_6])).
% 0.56/1.02 thf(zip_derived_cl204, plain,
% 0.56/1.02 (![X0 : $i]:
% 0.56/1.02 (~ (aSubsetOf0 @ (szAzrzSzezqlpdtcmdtrp0 @ sz10 @ X0) @
% 0.56/1.02 (stldt0 @ (sbsmnsldt0 @ xS)))
% 0.56/1.02 | ((X0) = (sz00))
% 0.56/1.02 | ~ (aInteger0 @ X0))),
% 0.56/1.02 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/1.02 thf(zip_derived_cl134, plain, (((xS) = (cS2043))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2046])).
% 0.56/1.02 thf(zip_derived_cl227, plain,
% 0.56/1.02 (((stldt0 @ (sbsmnsldt0 @ cS2043)) = (cS2076))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl134])).
% 0.56/1.02 thf(zip_derived_cl637, plain,
% 0.56/1.02 (![X0 : $i]:
% 0.56/1.02 (~ (aSubsetOf0 @ (szAzrzSzezqlpdtcmdtrp0 @ sz10 @ X0) @ cS2076)
% 0.56/1.02 | ((X0) = (sz00))
% 0.56/1.02 | ~ (aInteger0 @ X0))),
% 0.56/1.02 inference('demod', [status(thm)],
% 0.56/1.02 [zip_derived_cl204, zip_derived_cl134, zip_derived_cl227])).
% 0.56/1.02 thf(zip_derived_cl2132, plain,
% 0.56/1.02 ((~ (aInteger0 @ (sk__22 @ sz10)) | ((sk__22 @ sz10) = (sz00)))),
% 0.56/1.02 inference('sup-', [status(thm)], [zip_derived_cl1805, zip_derived_cl637])).
% 0.56/1.02 thf(zip_derived_cl250, plain, ( (aElementOf0 @ sz10 @ cS2076)),
% 0.56/1.02 inference('eq_res', [status(thm)], [zip_derived_cl249])).
% 0.56/1.02 thf(zip_derived_cl161, plain,
% 0.56/1.02 (![X0 : $i]:
% 0.56/1.02 ( (aInteger0 @ (sk__22 @ X0))
% 0.56/1.02 | ~ (aElementOf0 @ X0 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2144])).
% 0.56/1.02 thf(zip_derived_cl134, plain, (((xS) = (cS2043))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2046])).
% 0.56/1.02 thf(zip_derived_cl227, plain,
% 0.56/1.02 (((stldt0 @ (sbsmnsldt0 @ cS2043)) = (cS2076))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl134])).
% 0.56/1.02 thf(zip_derived_cl402, plain,
% 0.56/1.02 (![X0 : $i]:
% 0.56/1.02 ( (aInteger0 @ (sk__22 @ X0)) | ~ (aElementOf0 @ X0 @ cS2076))),
% 0.56/1.02 inference('demod', [status(thm)],
% 0.56/1.02 [zip_derived_cl161, zip_derived_cl134, zip_derived_cl227])).
% 0.56/1.02 thf(zip_derived_cl404, plain, ( (aInteger0 @ (sk__22 @ sz10))),
% 0.56/1.02 inference('sup-', [status(thm)], [zip_derived_cl250, zip_derived_cl402])).
% 0.56/1.02 thf(zip_derived_cl2135, plain, (((sk__22 @ sz10) = (sz00))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl2132, zip_derived_cl404])).
% 0.56/1.02 thf(zip_derived_cl250, plain, ( (aElementOf0 @ sz10 @ cS2076)),
% 0.56/1.02 inference('eq_res', [status(thm)], [zip_derived_cl249])).
% 0.56/1.02 thf(zip_derived_cl160, plain,
% 0.56/1.02 (![X0 : $i]:
% 0.56/1.02 (((sk__22 @ X0) != (sz00))
% 0.56/1.02 | ~ (aElementOf0 @ X0 @ (stldt0 @ (sbsmnsldt0 @ xS))))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2144])).
% 0.56/1.02 thf(zip_derived_cl134, plain, (((xS) = (cS2043))),
% 0.56/1.02 inference('cnf', [status(esa)], [m__2046])).
% 0.56/1.02 thf(zip_derived_cl227, plain,
% 0.56/1.02 (((stldt0 @ (sbsmnsldt0 @ cS2043)) = (cS2076))),
% 0.56/1.02 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl134])).
% 0.56/1.02 thf(zip_derived_cl259, plain,
% 0.56/1.02 (![X0 : $i]: (((sk__22 @ X0) != (sz00)) | ~ (aElementOf0 @ X0 @ cS2076))),
% 0.56/1.02 inference('demod', [status(thm)],
% 0.56/1.02 [zip_derived_cl160, zip_derived_cl134, zip_derived_cl227])).
% 0.56/1.02 thf(zip_derived_cl261, plain, (((sk__22 @ sz10) != (sz00))),
% 0.56/1.02 inference('sup-', [status(thm)], [zip_derived_cl250, zip_derived_cl259])).
% 0.56/1.02 thf(zip_derived_cl2136, plain, ($false),
% 0.56/1.02 inference('simplify_reflect-', [status(thm)],
% 0.56/1.02 [zip_derived_cl2135, zip_derived_cl261])).
% 0.56/1.02
% 0.56/1.02 % SZS output end Refutation
% 0.56/1.02
% 0.56/1.02
% 0.56/1.02 % Terminating...
% 0.56/1.06 % Runner terminated.
% 1.63/1.07 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------