%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM445+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:12 PM UTC 2026
% Result : CounterSatisfiable 5.61s 2.01s
% Output : Saturation 8.74s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u285,axiom,
( ~ aDivisorOf0(X2,smndt0(sz10))
| ~ isPrime0(X2) ) ).
cnf(u292,axiom,
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,sz10) ) ).
cnf(u302,axiom,
sz00 = sz10 ).
cnf(u331,axiom,
sz00 = smndt0(sz00) ).
cnf(u240,axiom,
( ~ isClosed0(X0)
| isOpen0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u181,axiom,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3) ) ).
cnf(u191,axiom,
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aElementOf0(sK3(X0,X1),X0)
| aSubsetOf0(X1,X0) ) ).
cnf(u719,axiom,
( ~ aSubsetOf0(X0,cS1395)
| aSet0(sdtslmnbsdt0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u257,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| aSet0(sdtbsmnsldt0(X0,X1)) ) ).
cnf(u198,axiom,
( ~ aSet0(X2)
| sdtbsmnsldt0(X0,X1) = X2
| aInteger0(sK4(X0,X1,X2))
| aElementOf0(sK4(X0,X1,X2),X2)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ).
cnf(u519,axiom,
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00) ) ).
cnf(u153,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtpldt0(X0,X1)) ) ).
cnf(u276,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1 ) ).
cnf(u172,axiom,
( ~ aDivisorOf0(X1,X0)
| sdtasdt0(X1,sK1(X0,X1)) = X0
| ~ aInteger0(X0) ) ).
cnf(u624,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X0,sdtslmnbsdt0(X1,szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3 ) ).
cnf(u216,axiom,
( ~ sP0(X0)
| ~ aSet0(X1)
| aElementOf0(sK7(X0,X1),X0)
| aElementOf0(sK6(X0,X1),X1)
| sbsmnsldt0(X0) = X1 ) ).
cnf(u696,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X0,X1)
| ~ aInteger0(X0)
| aElementOf0(X0,sdtbsmnsldt0(X1,szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3 ) ).
cnf(u179,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(X0,X0,X1)
| sz00 = X1 ) ).
cnf(u638,axiom,
( isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u239,axiom,
( ~ aSubsetOf0(X0,cS1395)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK12(X0),X2),X0)
| isOpen0(X0) ) ).
cnf(u314,axiom,
sz00 = sdtpldt0(smndt0(sz00),sz00) ).
cnf(u754,axiom,
( ~ aInteger0(X2)
| aElementOf0(sK9(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))),szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aElementOf0(sK9(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))),szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ aInteger0(X3)
| sz00 = X3
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| sP0(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))) ) ).
cnf(u317,axiom,
aInteger0(smndt0(sz00)) ).
cnf(u242,axiom,
( ~ aSet0(X0)
| isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK14(X0),X0) ) ).
cnf(u361,axiom,
( ~ aInteger0(sK2(sdtpldt0(X0,smndt0(X1))))
| ~ aInteger0(sdtpldt0(X0,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X0,X1,sK2(sdtpldt0(X0,smndt0(X1))))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(X0,smndt0(X1))
| sz00 = sK2(sdtpldt0(X0,smndt0(X1))) ) ).
cnf(u421,axiom,
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) ) ).
cnf(u157,axiom,
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ) ).
cnf(u264,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X4,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| aInteger0(X4) ) ).
cnf(u324,axiom,
sz00 = sdtpldt0(smndt0(smndt0(sz00)),smndt0(sz00)) ).
cnf(u259,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X1)
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(X4,sdtbsmnsldt0(X0,X1)) ) ).
cnf(u220,axiom,
( ~ aSubsetOf0(sK9(X0),cS1395)
| ~ aSet0(X0)
| sP0(X0) ) ).
cnf(u391,axiom,
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) ) ).
cnf(u183,axiom,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3)
| sz00 = X3 ) ).
cnf(u626,axiom,
( ~ aSet0(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| aInteger0(sK9(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))))
| sP0(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))) ) ).
cnf(u227,axiom,
( ~ aInteger0(sK10(X0,X1))
| ~ aSet0(X1)
| stldt0(X0) = X1
| aElementOf0(sK10(X0,X1),X0)
| ~ aElementOf0(sK10(X0,X1),X1)
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u695,axiom,
( aElementOf0(sK9(szAzrzSzezqlpdtcmdtrp0(X0,X1)),sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X2,X3),szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3
| sP0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ).
cnf(u758,axiom,
( ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(X0,sz00,sK2(sdtpldt0(X0,sz00)))
| sz00 = sdtpldt0(X0,sz00)
| sz00 = sK2(sdtpldt0(X0,sz00)) ) ).
cnf(u186,axiom,
( isPrime0(sK2(X0))
| sz10 = X0
| smndt0(sz10) = X0
| ~ aInteger0(X0) ) ).
cnf(u246,axiom,
( ~ aSet0(X0)
| isClosed0(sbsmnsldt0(X0))
| ~ isFinite0(X0)
| aElementOf0(sK15(X0),X0) ) ).
cnf(u466,axiom,
( ~ aInteger0(X1)
| isOpen0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X0)
| aElementOf0(sK12(szAzrzSzezqlpdtcmdtrp0(X0,X1)),szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X1 ) ).
cnf(u645,axiom,
( ~ aElementOf0(X0,sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2),szAzrzSzezqlpdtcmdtrp0(X3,X4)))
| aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| sz00 = X4
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u268,axiom,
( ~ sP0(X0)
| ~ aInteger0(X5)
| ~ aElementOf0(X6,X0)
| ~ aElementOf0(X5,X6)
| aElementOf0(X5,sbsmnsldt0(X0)) ) ).
cnf(u263,axiom,
( aElementOf0(X4,sdtslmnbsdt0(X0,X1))
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X0)
| ~ aElementOf0(X4,X1)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ).
cnf(u254,axiom,
( ~ aDivisorOf0(sz00,X0)
| ~ aInteger0(X0) ) ).
cnf(u208,axiom,
( ~ aSet0(X2)
| sdtslmnbsdt0(X0,X1) = X2
| aInteger0(sK5(X0,X1,X2))
| aElementOf0(sK5(X0,X1,X2),X2)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ).
cnf(u720,axiom,
( ~ aInteger0(X2)
| aSet0(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ aInteger0(X3)
| sz00 = X3
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u159,axiom,
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ) ).
cnf(u171,axiom,
( sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ).
cnf(u235,axiom,
( ~ isOpen0(X0)
| ~ aElementOf0(X3,X0)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X3,sK13(X0,X3)),X0)
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u692,axiom,
( ~ aSubsetOf0(X3,cS1395)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| aElementOf0(X0,sdtbsmnsldt0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u162,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ).
cnf(u190,axiom,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK3(X0,X1),X1)
| aSubsetOf0(X1,X0) ) ).
cnf(u234,axiom,
( ~ aInteger0(sK11(X0,X1,X2))
| ~ aSet0(X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| ~ sdteqdtlpzmzozddtrp0(sK11(X0,X1,X2),X0,X1)
| ~ aElementOf0(sK11(X0,X1,X2),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u689,axiom,
( ~ aSet0(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| aElementOf0(sK9(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))),szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sP0(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))) ) ).
cnf(u177,axiom,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u249,axiom,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u312,axiom,
sz00 = sdtasdt0(sz00,sz00) ).
cnf(u178,axiom,
( ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u307,axiom,
sz00 = sdtpldt0(sz00,smndt0(sz00)) ).
cnf(u207,axiom,
( ~ aSet0(X2)
| sdtslmnbsdt0(X0,X1) = X2
| aElementOf0(sK5(X0,X1,X2),X0)
| aElementOf0(sK5(X0,X1,X2),X2)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ).
cnf(u687,axiom,
( ~ aSet0(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| aElementOf0(sK9(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))),szAzrzSzezqlpdtcmdtrp0(X2,X3))
| sP0(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))) ) ).
cnf(u270,axiom,
( ~ sP0(X0)
| ~ aElementOf0(X5,sbsmnsldt0(X0))
| aElementOf0(sK8(X0,X5),X0) ) ).
cnf(u166,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ).
cnf(u386,axiom,
( ~ aInteger0(X0)
| aInteger0(sdtpldt0(X0,sz00)) ) ).
cnf(u693,axiom,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| aElementOf0(X0,sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X3,X4),szAzrzSzezqlpdtcmdtrp0(X1,X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| sz00 = X4 ) ).
cnf(u737,axiom,
( ~ aInteger0(X2)
| aSet0(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ aInteger0(X3)
| sz00 = X3
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u401,axiom,
( ~ aInteger0(X0)
| aInteger0(sK1(X0,sK2(X0)))
| sz00 = X0 ) ).
cnf(u225,axiom,
( ~ aSet0(X1)
| stldt0(X0) = X1
| ~ aElementOf0(sK10(X0,X1),X0)
| aElementOf0(sK10(X0,X1),X1)
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u253,axiom,
( ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| aDivisorOf0(X1,sdtasdt0(X1,X2)) ) ).
cnf(u244,axiom,
( ~ isOpen0(X1)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ isOpen0(X0)
| isOpen0(sdtslmnbsdt0(X0,X1)) ) ).
cnf(u420,axiom,
( ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2)))
| aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u640,axiom,
( ~ aSubsetOf0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)),cS1395)
| ~ aInteger0(X1)
| sz00 = X1
| ~ aElementOf0(X2,stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X2,sK13(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)),X2)),stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| ~ aInteger0(X0) ) ).
cnf(u522,axiom,
( ~ aSubsetOf0(X3,cS1395)
| ~ aElementOf0(X0,sdtbsmnsldt0(X3,szAzrzSzezqlpdtcmdtrp0(X1,X2)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| aElementOf0(X0,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u151,axiom,
aInteger0(sz10) ).
cnf(u654,axiom,
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00) ) ).
cnf(u258,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aInteger0(X4)
| ~ aElementOf0(X4,X0)
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(X4,sdtbsmnsldt0(X0,X1)) ) ).
cnf(u154,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtasdt0(X0,X1)) ) ).
cnf(u261,axiom,
( ~ aSubsetOf0(X1,cS1395)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(X4,X0) ) ).
cnf(u273,axiom,
( aElementOf0(X3,stldt0(X0))
| ~ aInteger0(X3)
| aElementOf0(X3,X0)
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u169,axiom,
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ).
cnf(u188,axiom,
( ~ aSet0(X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| aElementOf0(X3,X0) ) ).
cnf(u167,axiom,
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,X0) ) ).
cnf(u232,axiom,
( ~ aSet0(X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| sdteqdtlpzmzozddtrp0(sK11(X0,X1,X2),X0,X1)
| aElementOf0(sK11(X0,X1,X2),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u644,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X0,sdtbsmnsldt0(X1,szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3 ) ).
cnf(u463,axiom,
( ~ aDivisorOf0(sK2(X0),sz00)
| sz00 = X0
| ~ aInteger0(X0) ) ).
cnf(u698,axiom,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| aElementOf0(X0,sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2),szAzrzSzezqlpdtcmdtrp0(X3,X4)))
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| sz00 = X4
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u199,axiom,
( ~ aInteger0(sK4(X0,X1,X2))
| ~ aSet0(X2)
| sdtbsmnsldt0(X0,X1) = X2
| ~ aElementOf0(sK4(X0,X1,X2),X1)
| ~ aElementOf0(sK4(X0,X1,X2),X2)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ).
cnf(u642,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X0,sdtslmnbsdt0(X1,szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| aElementOf0(X0,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3 ) ).
cnf(u262,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| aSet0(sdtslmnbsdt0(X0,X1)) ) ).
cnf(u848,axiom,
( ~ aInteger0(X2)
| aElementOf0(sK9(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(sz00,X2))),szAzrzSzezqlpdtcmdtrp0(sz00,X2))
| aElementOf0(sK9(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(sz00,X2))),szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sz00 = X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| sP0(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(sz00,X2))) ) ).
cnf(u158,axiom,
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ) ).
cnf(u321,axiom,
( ~ isPrime0(X2)
| ~ aDivisorOf0(X2,smndt0(sz00)) ) ).
cnf(u509,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00)) ) ).
cnf(u173,axiom,
( ~ aDivisorOf0(X1,X0)
| aInteger0(sK1(X0,X1))
| ~ aInteger0(X0) ) ).
cnf(u217,axiom,
( ~ sP0(X0)
| ~ aSet0(X1)
| aInteger0(sK6(X0,X1))
| aElementOf0(sK6(X0,X1),X1)
| sbsmnsldt0(X0) = X1 ) ).
cnf(u164,axiom,
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 ) ).
cnf(u275,axiom,
( ~ aSubsetOf0(X0,cS1395)
| ~ aElementOf0(X3,stldt0(X0))
| ~ aElementOf0(X3,X0) ) ).
cnf(u236,axiom,
( sz00 != sK13(X0,X3)
| ~ aElementOf0(X3,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u347,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sK9(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sz00 = X1
| sP0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ).
cnf(u456,axiom,
( ~ aDivisorOf0(X0,sz00)
| sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| sz00 = X0 ) ).
cnf(u523,axiom,
( ~ aElementOf0(X0,sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2),szAzrzSzezqlpdtcmdtrp0(X3,X4)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X3,X4))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| sz00 = X4
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u451,axiom,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK12(szAzrzSzezqlpdtcmdtrp0(X1,X2)),X0),szAzrzSzezqlpdtcmdtrp0(X1,X2))
| sz00 = X0
| ~ aInteger0(X0)
| isOpen0(szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u243,axiom,
( ~ isOpen0(sK14(X0))
| ~ aSet0(X0)
| ~ aSubsetOf0(sK14(X0),cS1395)
| isOpen0(sbsmnsldt0(X0)) ) ).
cnf(u702,axiom,
( ~ aElementOf0(sK9(szAzrzSzezqlpdtcmdtrp0(X0,X1)),stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| sP0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ).
cnf(u646,axiom,
( ~ aSet0(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| aInteger0(sK9(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))))
| sP0(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3))) ) ).
cnf(u625,axiom,
( ~ aElementOf0(X0,sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X1,X2),szAzrzSzezqlpdtcmdtrp0(X3,X4)))
| aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| sz00 = X4
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u206,axiom,
( ~ aSet0(X2)
| sdtslmnbsdt0(X0,X1) = X2
| aElementOf0(sK5(X0,X1,X2),X1)
| aElementOf0(sK5(X0,X1,X2),X2)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ).
cnf(u641,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X0,sdtslmnbsdt0(X1,szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X2,X3))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3 ) ).
cnf(u152,axiom,
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ) ).
cnf(u279,axiom,
( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u323,axiom,
aInteger0(smndt0(smndt0(sz00))) ).
cnf(u736,axiom,
( ~ aSubsetOf0(X0,cS1395)
| aSet0(sdtbsmnsldt0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u175,axiom,
( ~ aDivisorOf0(X1,X0)
| aInteger0(X1)
| ~ aInteger0(X0) ) ).
cnf(u187,axiom,
( aDivisorOf0(sK2(X0),X0)
| sz10 = X0
| smndt0(sz10) = X0
| ~ aInteger0(X0) ) ).
cnf(u219,axiom,
( aElementOf0(sK9(X0),X0)
| ~ aSet0(X0)
| sP0(X0) ) ).
cnf(u247,axiom,
( ~ isClosed0(sK15(X0))
| ~ aSet0(X0)
| ~ isFinite0(X0)
| ~ aSubsetOf0(sK15(X0),cS1395)
| isClosed0(sbsmnsldt0(X0)) ) ).
cnf(u643,axiom,
( ~ aElementOf0(X0,sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X1,X2),szAzrzSzezqlpdtcmdtrp0(X3,X4)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| sz00 = X4
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u297,axiom,
sz00 = sdtpldt0(sz00,sz00) ).
cnf(u426,axiom,
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X1,X2))
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u369,axiom,
( ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(X1,sz00,X0)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,sdtpldt0(X1,sz00))
| sz00 = X0 ) ).
cnf(u446,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00)) ) ).
cnf(u678,axiom,
( ~ aElementOf0(X0,sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X1,X2),szAzrzSzezqlpdtcmdtrp0(X3,X4)))
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(X3,X4))
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| sz00 = X4
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u197,axiom,
( ~ aSet0(X2)
| sdtbsmnsldt0(X0,X1) = X2
| aElementOf0(sK4(X0,X1,X2),X0)
| aElementOf0(sK4(X0,X1,X2),X1)
| aElementOf0(sK4(X0,X1,X2),X2)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ).
cnf(u260,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X4,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| aInteger0(X4) ) ).
cnf(u272,axiom,
( ~ aSubsetOf0(X0,cS1395)
| aSet0(stldt0(X0)) ) ).
cnf(u156,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ) ).
cnf(u267,axiom,
( ~ sP0(X0)
| aSet0(sbsmnsldt0(X0)) ) ).
cnf(u200,axiom,
( ~ aInteger0(sK4(X0,X1,X2))
| ~ aSet0(X2)
| sdtbsmnsldt0(X0,X1) = X2
| ~ aElementOf0(sK4(X0,X1,X2),X0)
| ~ aElementOf0(sK4(X0,X1,X2),X2)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ).
cnf(u779,axiom,
( ~ aSubsetOf0(sdtbsmnsldt0(X0,X1),cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ isClosed0(X0)
| ~ isClosed0(X1)
| isOpen0(stldt0(sdtbsmnsldt0(X0,X1)))
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u163,axiom,
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 ) ).
cnf(u666,axiom,
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00) ) ).
cnf(u298,axiom,
sz10 = sdtpldt0(sz10,sz00) ).
cnf(u738,axiom,
( ~ aInteger0(X2)
| aSet0(sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(sz00,X2)))
| sz00 = X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u182,axiom,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| sdteqdtlpzmzozddtrp0(X0,X1,X3)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2
| ~ aInteger0(X3)
| sz00 = X3 ) ).
cnf(u226,axiom,
( ~ aSet0(X1)
| stldt0(X0) = X1
| aInteger0(sK10(X0,X1))
| aElementOf0(sK10(X0,X1),X1)
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u402,axiom,
( ~ aInteger0(X0)
| aInteger0(sdtasdt0(X0,sz00)) ) ).
cnf(u345,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(sK9(szAzrzSzezqlpdtcmdtrp0(X0,X1)),X0,X1)
| sz00 = X1
| sP0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ).
cnf(u241,axiom,
( ~ isOpen0(stldt0(X0))
| isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u436,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X0,X1),sz00) ) ).
cnf(u271,axiom,
( ~ sP0(X0)
| ~ aElementOf0(X5,sbsmnsldt0(X0))
| aElementOf0(X5,sK8(X0,X5)) ) ).
cnf(u700,axiom,
( aElementOf0(sK9(szAzrzSzezqlpdtcmdtrp0(X0,X1)),sdtbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(X2,X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sz00 = X3
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| sP0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ).
cnf(u619,axiom,
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00)) ) ).
cnf(u679,axiom,
( ~ aSubsetOf0(stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2)),cS1395)
| aInteger0(sK13(stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2)),X0))
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u274,axiom,
( ~ aSubsetOf0(X0,cS1395)
| ~ aElementOf0(X3,stldt0(X0))
| aInteger0(X3) ) ).
cnf(u170,axiom,
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ).
cnf(u277,axiom,
( ~ sdteqdtlpzmzozddtrp0(X4,X0,X1)
| ~ aInteger0(X4)
| aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u769,axiom,
( ~ aInteger0(X3)
| ~ aInteger0(X1)
| sz00 = X1
| ~ aInteger0(X2)
| ~ aInteger0(X0)
| sz00 = X3
| sP0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
| aElementOf0(sK9(szAzrzSzezqlpdtcmdtrp0(X2,X3)),szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aElementOf0(sK9(szAzrzSzezqlpdtcmdtrp0(X2,X3)),szAzrzSzezqlpdtcmdtrp0(X2,X3)) ) ).
cnf(u245,axiom,
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ isClosed0(X0)
| ~ isClosed0(X1) ) ).
cnf(u160,axiom,
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ) ).
cnf(u248,axiom,
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u375,axiom,
( ~ aInteger0(X0)
| sdtasdt0(sK2(X0),sK1(X0,sK2(X0))) = X0
| sz00 = X0 ) ).
cnf(u484,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sz00 = X1 ) ).
cnf(u155,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ) ).
cnf(u215,axiom,
( aElementOf0(sK6(X0,X1),sK7(X0,X1))
| ~ aSet0(X1)
| sbsmnsldt0(X0) = X1
| aElementOf0(sK6(X0,X1),X1)
| ~ sP0(X0) ) ).
cnf(u278,axiom,
( ~ aElementOf0(X4,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aInteger0(X4)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u238,axiom,
( ~ aSubsetOf0(X0,cS1395)
| aElementOf0(sK12(X0),X0)
| isOpen0(X0) ) ).
cnf(u265,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X4,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(X4,X0) ) ).
cnf(u218,axiom,
( ~ aInteger0(sK6(X0,X1))
| ~ aSet0(X1)
| sbsmnsldt0(X0) = X1
| ~ aElementOf0(X3,X0)
| ~ aElementOf0(sK6(X0,X1),X3)
| ~ aElementOf0(sK6(X0,X1),X1)
| ~ sP0(X0) ) ).
cnf(u337,axiom,
smndt0(sz00) = sdtasdt0(smndt0(sz00),sz00) ).
cnf(u161,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ) ).
cnf(u189,axiom,
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ) ).
cnf(u233,axiom,
( ~ aSet0(X2)
| szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
| aInteger0(sK11(X0,X1,X2))
| aElementOf0(sK11(X0,X1,X2),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u180,axiom,
( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u252,negated_conjecture,
isFinite0(cS2043) ).
cnf(u363,axiom,
( ~ aInteger0(X0)
| sz00 = X0
| aInteger0(sK2(X0)) ) ).
cnf(u831,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = X1
| sP0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aElementOf0(sK9(szAzrzSzezqlpdtcmdtrp0(X0,X1)),szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ).
cnf(u434,axiom,
( ~ aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1
| aInteger0(sK9(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1))))
| sP0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1))) ) ).
cnf(u266,axiom,
( ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(X4,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(X4,X1) ) ).
cnf(u150,axiom,
aInteger0(sz00) ).
cnf(u326,axiom,
sz00 = sdtpldt0(smndt0(sz00),smndt0(smndt0(sz00))) ).
cnf(u269,axiom,
( ~ sP0(X0)
| ~ aElementOf0(X5,sbsmnsldt0(X0))
| aInteger0(X5) ) ).
cnf(u441,axiom,
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X0,X1),sz00) ) ).
cnf(u806,axiom,
( ~ aSubsetOf0(stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2)),cS1395)
| ~ aSubsetOf0(X0,cS1395)
| ~ isOpen0(X0)
| isOpen0(sdtslmnbsdt0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(X1,X2))))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sz00 = X2 ) ).
cnf(u721,axiom,
( ~ aInteger0(X2)
| aSet0(sdtslmnbsdt0(szAzrzSzezqlpdtcmdtrp0(X0,X1),szAzrzSzezqlpdtcmdtrp0(sz00,X2)))
| sz00 = X2
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = X1 ) ).
cnf(u165,axiom,
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ).
cnf(u209,axiom,
( ~ aInteger0(sK5(X0,X1,X2))
| ~ aSet0(X2)
| sdtslmnbsdt0(X0,X1) = X2
| ~ aElementOf0(sK5(X0,X1,X2),X0)
| ~ aElementOf0(sK5(X0,X1,X2),X1)
| ~ aElementOf0(sK5(X0,X1,X2),X2)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ).
cnf(u237,axiom,
( ~ isOpen0(X0)
| ~ aElementOf0(X3,X0)
| aInteger0(sK13(X0,X3))
| ~ aSubsetOf0(X0,cS1395) ) ).
cnf(u168,axiom,
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM445+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n017.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 19:52:36 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.61/2.01 % (2899012)Detected formulas, will run a generic FOF schedule.
% 5.61/2.01 % (2899022)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=12332089:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.61/2.01 % (2899018)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2182047531:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.61/2.01 % (2899017)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3606434425:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.61/2.01 % (2899020)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3789417984:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.61/2.01 % (2899019)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2583472548:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.61/2.01 % (2899021)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1420516789:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.61/2.01 % (2899020)Refutation not found, incomplete strategy
% 5.61/2.01 % (2899020)------------------------------
% 5.61/2.01 % (2899020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899020)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899020)Termination reason: Refutation not found, incomplete strategy
% 5.61/2.01 % (2899020)Time elapsed: 0.001 s
% 5.61/2.01 % (2899020)Peak memory usage: 87 MB
% 5.61/2.01 % (2899022)Instruction limit reached!
% 5.61/2.01 % (2899022)------------------------------
% 5.61/2.01 % (2899022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899022)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899022)Termination reason: Instruction limit
% 5.61/2.01 % (2899022)Termination phase: Saturation
% 5.61/2.01 % (2899022)Time elapsed: 0.043 s
% 5.61/2.01 % (2899022)Peak memory usage: 90 MB
% 5.61/2.01 % (2899022)Instructions burned: 142 (million)
% 5.61/2.01 % (2899023)dis-21_1_sil=8000:lcm=predicate:random_seed=1447461903:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.61/2.01 % (2899021)Instruction limit reached!
% 5.61/2.01 % (2899021)------------------------------
% 5.61/2.01 % (2899021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899021)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899021)Termination reason: Instruction limit
% 5.61/2.01 % (2899021)Termination phase: Saturation
% 5.61/2.01 % (2899021)Time elapsed: 0.072 s
% 5.61/2.01 % (2899021)Peak memory usage: 88 MB
% 5.61/2.01 % (2899021)Instructions burned: 120 (million)
% 5.61/2.01 % (2899023)Instruction limit reached!
% 5.61/2.01 % (2899023)------------------------------
% 5.61/2.01 % (2899023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899023)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899023)Termination reason: Instruction limit
% 5.61/2.01 % (2899023)Termination phase: Saturation
% 5.61/2.01 % (2899023)Time elapsed: 0.078 s
% 5.61/2.01 % (2899023)Peak memory usage: 89 MB
% 5.61/2.01 % (2899023)Instructions burned: 130 (million)
% 5.61/2.01 % (2899030)lrs+10_1_sil=8000:sp=occurrence:random_seed=1036405592:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.61/2.01 % (2899030)Instruction limit reached!
% 5.61/2.01 % (2899030)------------------------------
% 5.61/2.01 % (2899030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899030)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899030)Termination reason: Instruction limit
% 5.61/2.01 % (2899030)Termination phase: Saturation
% 5.61/2.01 % (2899030)Time elapsed: 0.095 s
% 5.61/2.01 % (2899030)Peak memory usage: 93 MB
% 5.61/2.01 % (2899030)Instructions burned: 288 (million)
% 5.61/2.01 % (2899032)lrs+10_1_sil=32000:urr=on:br=off:random_seed=925421007:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.61/2.01 % (2899032)Refutation not found, incomplete strategy
% 5.61/2.01 % (2899032)------------------------------
% 5.61/2.01 % (2899032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899032)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899032)Termination reason: Refutation not found, incomplete strategy
% 5.61/2.01 % (2899032)Time elapsed: 0.001 s
% 5.61/2.01 % (2899032)Peak memory usage: 87 MB
% 5.61/2.01 % (2899020)------------------------------
% 5.61/2.01 % (2899020)------------------------------
% 5.61/2.01 % (2899033)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3277076029:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.61/2.01 % (2899033)Refutation not found, incomplete strategy
% 5.61/2.01 % (2899033)------------------------------
% 5.61/2.01 % (2899033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899033)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899033)Termination reason: Refutation not found, incomplete strategy
% 5.61/2.01 % (2899033)Time elapsed: 0.007 s
% 5.61/2.01 % (2899033)Peak memory usage: 88 MB
% 5.61/2.01 % (2899033)Instructions burned: 9 (million)
% 5.61/2.01 % (2899035)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3616982418:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 5.61/2.01 % (2899035)Instruction limit reached!
% 5.61/2.01 % (2899035)------------------------------
% 5.61/2.01 % (2899035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899035)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899035)Termination reason: Instruction limit
% 5.61/2.01 % (2899035)Termination phase: Saturation
% 5.61/2.01 % (2899035)Time elapsed: 0.065 s
% 5.61/2.01 % (2899035)Peak memory usage: 94 MB
% 5.61/2.01 % (2899035)Instructions burned: 249 (million)
% 5.61/2.01 % (2899037)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4026117397:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.61/2.01 % (2899037)Refutation not found, incomplete strategy
% 5.61/2.01 % (2899037)------------------------------
% 5.61/2.01 % (2899037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899037)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899037)Termination reason: Refutation not found, incomplete strategy
% 5.61/2.01 % (2899037)Time elapsed: 0.003 s
% 5.61/2.01 % (2899037)Peak memory usage: 88 MB
% 5.61/2.01 % (2899037)Instructions burned: 3 (million)
% 5.61/2.01 % (2899032)------------------------------
% 5.61/2.01 % (2899032)------------------------------
% 5.61/2.01 % (2899033)------------------------------
% 5.61/2.01 % (2899033)------------------------------
% 5.61/2.01 % (2899040)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=621153831:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.61/2.01 % (2899019)Refutation not found, incomplete strategy
% 5.61/2.01 % (2899019)------------------------------
% 5.61/2.01 % (2899019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899019)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899019)Termination reason: Refutation not found, incomplete strategy
% 5.61/2.01 % (2899019)Time elapsed: 0.627 s
% 5.61/2.01 % (2899019)Peak memory usage: 126 MB
% 5.61/2.01 % (2899019)Instructions burned: 916 (million)
% 5.61/2.01 % (2899042)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3442731541:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.61/2.01 % (2899042)Refutation not found, incomplete strategy
% 5.61/2.01 % (2899042)------------------------------
% 5.61/2.01 % (2899042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899042)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899042)Termination reason: Refutation not found, incomplete strategy
% 5.61/2.01 % (2899042)Time elapsed: 0.006 s
% 5.61/2.01 % (2899042)Peak memory usage: 89 MB
% 5.61/2.01 % (2899042)Instructions burned: 7 (million)
% 5.61/2.01 % (2899037)------------------------------
% 5.61/2.01 % (2899037)------------------------------
% 5.61/2.01 % (2899043)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1945716321:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.61/2.01 % (2899018)First to succeed.
% 5.61/2.01 % (2899018)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2899012"
% 5.61/2.01 % (2899043)Instruction limit reached!
% 5.61/2.01 % (2899043)------------------------------
% 5.61/2.01 % (2899043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899043)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899043)Termination reason: Instruction limit
% 5.61/2.01 % (2899043)Termination phase: Saturation
% 5.61/2.01 % (2899043)Time elapsed: 0.066 s
% 5.61/2.01 % (2899043)Peak memory usage: 89 MB
% 5.61/2.01 % (2899043)Instructions burned: 128 (million)
% 5.61/2.01 % (2899047)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=688353640:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 5.61/2.01 % (2899047)Refutation not found, incomplete strategy
% 5.61/2.01 % (2899047)------------------------------
% 5.61/2.01 % (2899047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/2.01 % (2899047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/2.01 % (2899047)CaDiCaL version: 2.1.3
% 5.61/2.01 % (2899047)Termination reason: Refutation not found, incomplete strategy
% 5.61/2.01 % (2899047)Time elapsed: 0.001 s
% 5.61/2.01 % (2899047)Peak memory usage: 87 MB
% 5.61/2.01 % (2899047)Instructions burned: 1 (million)
% 5.61/2.01 % (2899019)------------------------------
% 5.61/2.01 % (2899019)------------------------------
% 5.61/2.01 % (2899042)------------------------------
% 5.61/2.01 % (2899042)------------------------------
% 5.61/2.01 % (2899048)lrs+10_1_sil=8000:sp=occurrence:random_seed=858931157:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 5.61/2.01 % SZS status CounterSatisfiable for theBenchmark
% 5.61/2.01 % SZS output start Saturation.
% See solution above
% 8.74/2.21 % SZS output start Definitions and Model Updates.
% 8.74/2.21 for all inputs,
% 8.74/2.21 define xS := cS2043
% 8.74/2.21 % SZS output end Definitions and Model Updates.
% 8.74/2.21 % (2899018)------------------------------
% 8.74/2.21 % (2899018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.21 % (2899018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.21 % (2899018)CaDiCaL version: 2.1.3
% 8.74/2.21 % (2899018)Termination reason: Satisfiable
% 8.74/2.21 % (2899018)Time elapsed: 0.716 s
% 8.74/2.21 % (2899018)Peak memory usage: 128 MB
% 8.74/2.21 % (2899018)Instructions burned: 1027 (million)
% 8.74/2.21 % (2899018)------------------------------
% 8.74/2.21 % (2899018)------------------------------
% 8.74/2.21 % (2899012)Success in time 1.154 s
% 8.74/2.21 % Vampire exiting
%------------------------------------------------------------------------------