%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO844+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 02:29:02 PM UTC 2026
% Result : CounterSatisfiable 12.71s 2.27s
% Output : Saturation 13.54s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u235,axiom,
ain(a1,aun(apow(sF1),asing(sF0))) ).
cnf(u238,axiom,
~ ain(a1,asm(sF0,apow(sF1))) ).
cnf(u260,axiom,
ain(a1,aun(asing(sF1),asing(sF0))) ).
cnf(u291,axiom,
aal3(sF3) ).
cnf(u307,axiom,
aal3(a3) ).
cnf(u311,axiom,
~ aal4(a3) ).
cnf(u345,axiom,
ain(a1,asing(sF1)) ).
cnf(u349,axiom,
ain(a1,asing(sF0)) ).
cnf(u387,axiom,
ain(a0,sF1) ).
cnf(u399,axiom,
ain(a3,asing(a3)) ).
cnf(u421,axiom,
~ ain(a1,sF2) ).
cnf(u434,axiom,
~ ain(a1,sF0) ).
cnf(u446,axiom,
ain(sF3,asing(sF4)) ).
cnf(u461,axiom,
ain(sF1,apow(sF1)) ).
cnf(u527,axiom,
aal3(a4) ).
cnf(u535,axiom,
~ aal4(asm(a3,sF3)) ).
cnf(u547,axiom,
ain(a2,a4) ).
cnf(u551,axiom,
ain(a2,asing(sF1)) ).
cnf(u570,axiom,
ain(a3,a4) ).
cnf(u651,axiom,
~ asubq(aun(a4,asing(sF0)),aun(a4,asing(sF0))) ).
cnf(u662,axiom,
~ asubq(a4,aun(a4,asing(sF0))) ).
cnf(u689,axiom,
ain(sF1,asing(sF1)) ).
cnf(u692,axiom,
~ ain(sF1,a4) ).
cnf(u703,axiom,
~ ain(sF1,sF0) ).
cnf(u763,axiom,
aal3(apow(sF4)) ).
cnf(u835,axiom,
ain(sF4,asing(a0)) ).
cnf(u864,axiom,
~ asubq(sF4,apow(sF3)) ).
cnf(u893,axiom,
~ asubq(asing(sF0),apow(sF3)) ).
cnf(u899,axiom,
~ ain(a0,aun(sF4,asing(sF4))) ).
cnf(u944,axiom,
ain(a0,a3) ).
cnf(u968,axiom,
~ asubq(sF3,a2) ).
cnf(u975,axiom,
~ ain(sF5,sF0) ).
cnf(u985,axiom,
ain(a0,a1) ).
cnf(u988,axiom,
~ ain(a0,asing(a3)) ).
cnf(u1010,axiom,
~ ain(a0,apow(sF5)) ).
cnf(u1013,axiom,
~ ain(a0,asing(a0)) ).
cnf(u1023,axiom,
~ ain(a0,apow(sF1)) ).
cnf(u1027,axiom,
ain(a0,asing(sF1)) ).
cnf(u1050,axiom,
aal3(a1) ).
cnf(u1126,axiom,
ain(a0,aun(asm(sF0,apow(sF1)),apow(sF4))) ).
cnf(u1131,axiom,
~ asubq(asm(sF0,apow(sF1)),apow(sF3)) ).
cnf(u1148,axiom,
asubq(a1,aun(asm(sF0,apow(sF1)),apow(sF4))) ).
cnf(u1152,axiom,
~ ain(a0,aun(sF5,apow(sF4))) ).
cnf(u1160,axiom,
ain(a2,asing(a3)) ).
cnf(u1187,axiom,
asubq(a1,asm(a4,asing(a0))) ).
cnf(u1190,axiom,
ain(a0,a4) ).
cnf(u1199,axiom,
~ ain(a2,a2) ).
cnf(u1204,axiom,
ain(a2,sF1) ).
cnf(u1235,axiom,
~ ain(sF3,sF0) ).
cnf(u1252,axiom,
~ ain(a3,sF0) ).
cnf(u1324,axiom,
ain(a0,asm(sF0,apow(sF1))) ).
cnf(u1328,axiom,
ain(a0,apow(sF4)) ).
cnf(u1338,axiom,
asubq(a1,asm(sF0,apow(sF1))) ).
cnf(u1355,axiom,
~ ain(asm(asm(sF0,a2),sF4),sF0) ).
cnf(u1408,axiom,
~ ain(a0,asm(apow(sF5),asing(sF5))) ).
cnf(u1413,axiom,
ain(a0,asm(a4,asing(a0))) ).
cnf(u1418,axiom,
asubq(a1,asm(sF0,apow(sF3))) ).
cnf(u1472,axiom,
~ ain(sF3,a4) ).
cnf(u1494,axiom,
~ asubq(apow(sF4),a3) ).
cnf(u1514,axiom,
~ ain(sF3,a1) ).
cnf(u1518,axiom,
~ asubq(a0,sF3) ).
cnf(u1560,axiom,
~ aal3(asm(sF2,sF1)) ).
cnf(u1581,axiom,
~ ain(sF3,sF2) ).
cnf(u1598,axiom,
~ ain(a2,sF0) ).
cnf(u1646,axiom,
~ ain(sF4,a4) ).
cnf(u1654,axiom,
~ ain(a3,a2) ).
cnf(u1718,axiom,
~ ain(a0,apow(sF3)) ).
cnf(u1766,axiom,
~ ain(sF4,sF0) ).
cnf(u580,axiom,
( ~ aal4(aun(X0,aun(X1,X2)))
| ain(X3,aun(X0,aun(X1,X2)))
| ~ ain(X3,X4)
| aal3(X5)
| aal3(X4)
| ~ asubq(X0,aun(X5,X4))
| ~ asubq(X2,aun(X5,X4))
| ~ asubq(X1,aun(X5,X4)) ) ).
cnf(u214,negated_conjecture,
asubq(sF2,sF5) ).
cnf(u819,axiom,
( ~ ain(X0,aun(sF4,asing(sF4)))
| ~ ain(X0,asing(a0)) ) ).
cnf(u191,axiom,
( ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
| ~ ain(X0,asing(apow(a2)))
| ~ ain(X0,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))) ) ).
cnf(u634,axiom,
( ~ asubq(X0,apow(sF3))
| ~ ain(a0,X0)
| ~ ain(sF3,X0)
| apow(sF3) = X0 ) ).
cnf(u1280,axiom,
sF0 = asm(aun(asm(sF0,apow(sF1)),apow(sF4)),asing(sF4)) ).
cnf(u135,axiom,
( ~ ain(X1,apow(X0))
| asubq(X1,X0) ) ).
cnf(u1792,axiom,
ain(a0,asm(sF0,apow(sF3))) ).
cnf(u825,axiom,
( ~ ain(X0,asm(apow(sF5),asing(sF5)))
| ain(X0,aun(sF4,asing(sF4)))
| ain(X0,asing(a0)) ) ).
cnf(u995,axiom,
asubq(a1,sF0) ).
cnf(u1688,axiom,
( ain(X0,asing(a0))
| ~ ain(X0,a4)
| ain(X0,asing(a3))
| ~ asubq(X0,sF3) ) ).
cnf(u138,axiom,
( asubq(aun(X0,X1),X2)
| ~ asubq(X1,X2)
| ~ asubq(X0,X2) ) ).
cnf(u198,axiom,
( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))))
| ain(X0,aun(apow(asing(a2)),asing(a3)))
| ain(X0,asing(a1))
| ~ ain(X0,a4) ) ).
cnf(u1357,axiom,
asubq(a1,apow(sF4)) ).
cnf(u153,axiom,
apow(a2) != asm(apow(a2),a2) ).
cnf(u213,axiom,
aun(sF3,sF4) = sF5 ).
cnf(u1779,axiom,
( ~ ain(X0,sF0)
| ain(X0,a4)
| asubq(X0,sF3) ) ).
cnf(u1380,axiom,
~ ain(sF0,aun(sF0,asing(sF1))) ).
cnf(u172,axiom,
asubq(a3,aun(a3,asing(apow(asing(a1))))) ).
cnf(u283,axiom,
( ~ ain(X0,sF2)
| ain(X0,sF0) ) ).
cnf(u216,axiom,
ain(a2,asm(a4,asing(a0))) ).
cnf(u795,axiom,
( ~ ain(X0,aun(sF1,aun(apow(sF1),asing(sF0))))
| ~ ain(X0,aun(sF4,aun(asing(sF1),a4)))
| ~ ain(X0,asing(sF0)) ) ).
cnf(u1747,axiom,
( ~ asubq(X0,sF1)
| ~ ain(X0,sF0)
| asubq(X0,sF3) ) ).
cnf(u179,axiom,
asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))) ).
cnf(u638,axiom,
( ~ ain(sF3,aun(X0,X1))
| ~ asubq(X1,apow(sF3))
| aun(X0,X1) = apow(sF3)
| ~ asubq(X0,apow(sF3))
| ~ ain(a0,aun(X0,X1)) ) ).
cnf(u251,axiom,
ain(a1,aun(asm(sF0,apow(sF3)),aun(asing(sF1),asing(sF0)))) ).
cnf(u801,axiom,
asubq(asm(aint(aun(asm(sF0,apow(sF1)),aun(apow(sF1),asing(sF0))),aun(asing(sF1),aun(a4,asing(sF0)))),asing(sF1)),aun(a3,asing(sF0))) ).
cnf(u1706,axiom,
( ain(X0,asm(a4,asing(a0)))
| ~ ain(X0,sF0)
| ain(X0,apow(sF3)) ) ).
cnf(u1166,axiom,
asm(a4,asing(a0)) = asm(a4,apow(sF1)) ).
cnf(u142,axiom,
( ~ ain(a0,X0)
| asubq(a1,X0) ) ).
cnf(u152,axiom,
~ ain(a3,asm(apow(a2),asing(a1))) ).
cnf(u1106,axiom,
( ~ ain(X0,aun(sF5,apow(sF4)))
| ~ ain(X0,sF1) ) ).
cnf(u1227,axiom,
~ ain(sF3,asm(sF0,apow(sF3))) ).
cnf(u157,axiom,
ain(a0,asm(a4,asing(a1))) ).
cnf(u1376,axiom,
asubq(a1,a4) ).
cnf(u1107,axiom,
aun(sF5,apow(sF4)) = asm(aun(asm(sF0,apow(sF1)),apow(sF4)),sF1) ).
cnf(u1529,axiom,
( ain(X0,asing(sF1))
| ain(X0,asing(a3))
| ain(X0,sF0)
| ain(X0,asing(sF0))
| ~ ain(X0,a4) ) ).
cnf(u1587,axiom,
( ~ ain(X0,asing(a3))
| ~ ain(X0,sF0)
| ain(X0,apow(sF3)) ) ).
cnf(u148,axiom,
asubq(asing(asing(a1)),aun(asing(a1),asing(asing(a1)))) ).
cnf(u160,axiom,
ain(a0,aun(a1,asing(a3))) ).
cnf(u496,axiom,
asubq(sF5,sF5) ).
cnf(u843,axiom,
( ~ ain(X0,aun(sF4,asing(sF4)))
| ain(X0,apow(sF5)) ) ).
cnf(u1194,axiom,
( ~ ain(X0,a4)
| a3 = X0
| ain(X0,sF1)
| ain(X0,a2) ) ).
cnf(u1478,axiom,
~ ain(sF3,aun(asm(sF0,apow(sF3)),apow(sF4))) ).
cnf(u186,axiom,
( ~ ain(X0,asm(a4,asing(a1)))
| a0 = X0
| ain(X0,asm(a4,a2)) ) ).
cnf(u513,axiom,
~ ain(sF3,sF1) ).
cnf(u1279,axiom,
( ~ ain(X0,asing(sF4))
| ~ ain(X0,sF0) ) ).
cnf(u365,axiom,
asubq(asm(asm(sF0,a2),sF1),sF4) ).
cnf(u1223,axiom,
a3 != apow(sF3) ).
cnf(u194,axiom,
~ aal3(aun(a1,asing(a3))) ).
cnf(u219,axiom,
( ~ asubq(X0,a2)
| ain(X0,sF0) ) ).
cnf(u1315,axiom,
( asubq(aun(X0,X1),sF4)
| ain(aun(X0,X1),sF5)
| ain(aun(X0,X1),sF1)
| ~ asubq(X1,a2)
| ~ asubq(X0,a2) ) ).
cnf(u1669,axiom,
( ~ ain(X0,apow(sF3))
| ~ ain(X0,a4)
| ain(X0,asing(a0))
| ain(X0,asing(a3)) ) ).
cnf(u406,axiom,
asubq(a0,a2) ).
cnf(u205,axiom,
asing(a2) = sF1 ).
cnf(u1345,axiom,
( ~ ain(aun(X0,X1),sF0)
| asubq(aun(X0,X1),sF4)
| ~ asubq(X1,sF1)
| ~ asubq(X0,sF1) ) ).
cnf(u136,axiom,
( ~ ain(X2,aun(X0,X1))
| ain(X2,X1)
| ain(X2,X0) ) ).
cnf(u196,axiom,
~ aal4(asm(apow(a2),apow(asing(a2)))) ).
cnf(u676,axiom,
ain(sF1,aun(asing(sF1),a4)) ).
cnf(u335,axiom,
( ain(aun(X0,X1),sF0)
| ~ asubq(X1,a2)
| ~ asubq(X0,a2) ) ).
cnf(u1304,axiom,
( ain(X0,apow(sF4))
| ~ ain(X0,sF0)
| ain(X0,sF1)
| ain(X0,sF5) ) ).
cnf(u1174,axiom,
~ asubq(a2,sF1) ).
cnf(u507,axiom,
~ ain(sF4,asing(sF5)) ).
cnf(u203,axiom,
apow(a2) = sF0 ).
cnf(u158,axiom,
~ ain(apow(a2),aun(apow(a2),asing(asing(a2)))) ).
cnf(u963,axiom,
( ain(aun(X1,X0),sF2)
| ~ asubq(X1,a2)
| ~ asubq(X0,a2)
| ain(aun(X1,X0),sF1) ) ).
cnf(u162,axiom,
~ ain(a0,aun(asing(asing(a1)),asing(a3))) ).
cnf(u190,axiom,
asubq(asm(apow(a2),apow(asing(a1))),a4) ).
cnf(u281,axiom,
asubq(a3,aun(a3,asing(apow(sF3)))) ).
cnf(u1330,axiom,
( ~ ain(X0,apow(sF1))
| ~ ain(X0,sF0)
| ain(X0,apow(sF4)) ) ).
cnf(u177,axiom,
( ~ ain(X0,asm(apow(a2),asing(a2)))
| asing(a1) = X0
| ain(X0,a2) ) ).
cnf(u1665,axiom,
~ aal4(asm(sF0,apow(sF1))) ).
cnf(u178,axiom,
asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)) ).
cnf(u1449,axiom,
( ~ ain(X0,asm(a4,sF3))
| a0 = X0
| ain(X0,asm(a4,a2)) ) ).
cnf(u372,axiom,
asubq(sF3,sF5) ).
cnf(u140,axiom,
( ~ asubq(X2,aun(X0,X1))
| aal3(X1)
| ~ aal4(X2)
| ain(X3,X2)
| ~ ain(X3,X1)
| aal3(X0) ) ).
cnf(u134,axiom,
( ain(X2,asm(X0,X1))
| ~ ain(X2,X0)
| ain(X2,X1) ) ).
cnf(u724,axiom,
~ ain(a2,asing(a0)) ).
cnf(u147,axiom,
~ ain(asm(a3,asing(a1)),asing(asing(a1))) ).
cnf(u207,axiom,
asm(sF0,sF1) = sF2 ).
cnf(u678,axiom,
ain(sF1,asm(aun(asing(sF1),a4),asm(sF0,sF3))) ).
cnf(u1526,axiom,
( ain(X0,asing(a3))
| ~ ain(X0,a4)
| ain(X0,sF0)
| asubq(X0,sF1) ) ).
cnf(u722,axiom,
asubq(asm(a3,sF3),aint(aun(sF4,a4),aun(sF1,apow(sF1)))) ).
cnf(u166,axiom,
ain(asing(a2),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))) ).
cnf(u285,axiom,
( ~ asubq(X2,aun(X4,X0))
| ~ aal4(aun(X1,X2))
| ain(X3,aun(X1,X2))
| ~ ain(X3,X0)
| aal3(X4)
| aal3(X0)
| ~ asubq(X1,aun(X4,X0)) ) ).
cnf(u407,axiom,
( ~ ain(X0,sF0)
| asubq(X0,a2) ) ).
cnf(u181,axiom,
a3 = asm(apow(a2),asing(asing(a1))) ).
cnf(u1372,axiom,
asubq(a1,asing(sF1)) ).
cnf(u1724,axiom,
( ain(X0,apow(sF3))
| ~ ain(X0,sF0)
| ~ asubq(X0,sF1) ) ).
cnf(u182,axiom,
aun(asing(asing(a1)),asing(asing(asing(a1)))) = asm(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))),asing(a0)) ).
cnf(u1601,axiom,
( ain(X0,asing(a0))
| ~ ain(X0,a4)
| ~ asubq(X0,sF1) ) ).
cnf(u1384,axiom,
asubq(asm(sF0,apow(sF3)),asm(a3,asing(a0))) ).
cnf(u184,axiom,
apow(a2) = asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))) ).
cnf(u1662,axiom,
sF0 != asm(sF0,a2) ).
cnf(u355,axiom,
( ~ ain(X0,asm(a4,asing(a0)))
| ain(X0,asm(sF0,apow(sF3)))
| ain(X0,asing(a3)) ) ).
cnf(u1693,axiom,
( ain(X0,apow(sF1))
| ain(X0,asing(a3))
| ~ asubq(X0,sF3)
| ~ ain(X0,a4) ) ).
cnf(u492,axiom,
asubq(asm(asm(sF0,a2),sF4),sF1) ).
cnf(u826,axiom,
( ain(X0,asm(apow(sF5),asing(sF5)))
| ~ ain(X0,aun(sF4,asing(sF4))) ) ).
cnf(u939,axiom,
( ~ ain(X0,sF0)
| ain(X0,sF4)
| ain(X0,a3) ) ).
cnf(u195,axiom,
( ~ aal3(asm(asm(apow(a2),asing(a2)),asing(X0)))
| ~ ain(X0,asm(apow(a2),asing(a2))) ) ).
cnf(u958,axiom,
( ~ ain(X0,apow(sF5))
| ain(X0,asing(a0))
| ain(X0,asing(sF5))
| ain(X0,asing(sF4))
| ain(X0,sF4) ) ).
cnf(u565,axiom,
ain(a3,aun(asing(sF1),a4)) ).
cnf(u154,axiom,
ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))) ).
cnf(u149,axiom,
~ ain(asing(a1),asm(apow(a2),apow(asing(a1)))) ).
cnf(u131,axiom,
( ain(X1,apow(X0))
| ~ asubq(X1,X0) ) ).
cnf(u1486,axiom,
~ asubq(aun(asm(sF0,apow(sF3)),apow(sF4)),a3) ).
cnf(u1804,axiom,
~ ain(asm(sF0,a2),a4) ).
cnf(u1809,axiom,
( ain(X0,asing(a3))
| ~ ain(X0,a4)
| ~ ain(X0,sF0)
| ~ asubq(X0,sF3)
| asubq(X0,sF4) ) ).
cnf(u741,axiom,
asubq(asm(sF0,apow(sF3)),aun(asm(sF0,apow(sF1)),apow(sF4))) ).
cnf(u169,axiom,
ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))) ).
cnf(u1245,axiom,
~ ain(a3,asm(sF0,sF3)) ).
cnf(u188,axiom,
asm(a4,apow(asing(a2))) = asm(a4,asing(a0)) ).
cnf(u954,axiom,
( ain(X0,asing(sF1))
| ain(X0,asing(sF0))
| ain(X0,a3)
| ~ asubq(X0,sF1) ) ).
cnf(u1710,axiom,
( ain(X0,apow(sF3))
| ~ ain(X0,sF0)
| ain(X0,a4) ) ).
cnf(u830,axiom,
( ain(X0,aun(sF4,asing(sF4)))
| ain(X0,asing(a0))
| ~ ain(X0,apow(sF5))
| ain(X0,asing(sF5)) ) ).
cnf(u992,axiom,
asubq(a1,aun(a1,asing(a3))) ).
cnf(u139,axiom,
( ~ ain(X2,asm(X0,X1))
| ~ ain(X2,X1) ) ).
cnf(u199,axiom,
( ain(X0,aun(a3,asing(apow(a2))))
| ain(X0,asing(asing(a2)))
| ~ ain(X0,apow(asing(a2))) ) ).
cnf(u1115,axiom,
( ain(X0,aun(asm(sF0,apow(sF1)),apow(sF4)))
| ~ ain(X0,aun(sF5,apow(sF4))) ) ).
cnf(u562,axiom,
( ~ ain(X0,apow(sF1))
| ain(X0,asing(sF0))
| ain(X0,asing(sF1))
| ain(X0,a3) ) ).
cnf(u993,axiom,
asubq(a1,a1) ).
cnf(u506,axiom,
ain(sF4,apow(sF5)) ).
cnf(u1116,axiom,
( ~ ain(X0,aun(asm(sF0,apow(sF1)),apow(sF4)))
| ain(X0,sF1)
| ain(X0,aun(sF5,apow(sF4))) ) ).
cnf(u151,axiom,
apow(asing(a1)) != a3 ).
cnf(u145,axiom,
~ ain(asing(a1),asing(a2)) ).
cnf(u173,axiom,
asubq(a3,aun(a3,asing(apow(a2)))) ).
cnf(u1313,axiom,
( ~ ain(X0,sF0)
| ain(X0,sF1)
| ain(X0,sF5)
| asubq(X0,sF4) ) ).
cnf(u164,axiom,
ain(a3,aun(apow(asing(a2)),asing(a3))) ).
cnf(u340,axiom,
asubq(sF4,sF5) ).
cnf(u352,axiom,
asubq(a3,aun(a3,asing(sF0))) ).
cnf(u820,axiom,
aun(sF4,asing(sF4)) = asm(asm(apow(sF5),asing(sF5)),asing(a0)) ).
cnf(u1696,axiom,
( ain(X0,asing(sF1))
| ~ asubq(X0,sF3)
| ~ ain(X0,a4)
| ain(X0,asing(sF0))
| ain(X0,asing(a3))
| ain(X0,a3) ) ).
cnf(u1707,axiom,
( ~ ain(X0,apow(sF1))
| ain(X0,apow(sF3))
| ~ ain(X0,sF0) ) ).
cnf(u924,axiom,
~ ain(sF3,asing(sF5)) ).
cnf(u1214,axiom,
~ ain(asm(a3,sF3),sF4) ).
cnf(u806,axiom,
~ ain(a1,apow(sF3)) ).
cnf(u996,axiom,
asubq(a1,sF1) ).
cnf(u931,axiom,
( ~ ain(X0,a3)
| ain(X0,sF0) ) ).
cnf(u1216,axiom,
~ asubq(a0,sF5) ).
cnf(u922,axiom,
( ~ ain(X0,aun(sF5,aun(apow(sF1),asing(a3))))
| ain(X0,sF3)
| ain(X0,aun(apow(sF1),asing(a3)))
| ~ ain(X0,a4) ) ).
cnf(u1173,axiom,
~ ain(a2,apow(sF1)) ).
cnf(u438,axiom,
ain(sF3,aun(sF4,asing(sF4))) ).
cnf(u381,axiom,
( ~ ain(X0,asm(sF0,apow(sF3)))
| ~ ain(X0,asing(a3)) ) ).
cnf(u482,axiom,
~ ain(a1,asm(sF0,sF3)) ).
cnf(u1751,axiom,
( ~ ain(aun(X0,X1),sF0)
| asubq(aun(X0,X1),sF3)
| ~ asubq(X1,sF1)
| ~ asubq(X0,sF1) ) ).
cnf(u1170,axiom,
( ain(X0,asm(a4,asing(a0)))
| ain(X0,apow(sF1))
| ~ ain(X0,a4) ) ).
cnf(u193,axiom,
asm(a3,asing(a1)) = aint(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))) ).
cnf(u221,axiom,
( ~ ain(X0,sF5)
| ain(X0,sF4)
| ain(X0,sF3) ) ).
cnf(u1697,axiom,
( ain(X0,asing(a3))
| ~ asubq(X0,sF3)
| ~ ain(X0,a4)
| asubq(X0,sF1) ) ).
cnf(u560,axiom,
( ain(X0,aun(a3,asing(sF0)))
| ain(X0,asing(sF1))
| ~ ain(X0,apow(sF1)) ) ).
cnf(u1171,axiom,
( ~ ain(X0,asm(a4,asing(a0)))
| ~ ain(X0,apow(sF1)) ) ).
cnf(u1155,axiom,
( ain(X0,asm(sF0,apow(sF3)))
| ain(X0,asing(a3))
| ~ ain(X0,a4)
| ain(X0,asing(a0)) ) ).
cnf(u518,axiom,
asubq(asm(a3,sF3),aun(a4,asing(sF0))) ).
cnf(u1294,axiom,
( ain(X0,asm(sF0,apow(sF1)))
| ain(X0,apow(sF4))
| ~ ain(X0,sF0) ) ).
cnf(u1441,axiom,
( ain(X0,asing(sF5))
| ain(X0,asing(a0))
| ain(X0,asing(sF4))
| ain(X0,sF4)
| ~ asubq(X0,sF5) ) ).
cnf(u175,axiom,
~ asubq(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),aun(a4,asing(apow(a2)))) ).
cnf(u1366,axiom,
asubq(a1,asm(a4,sF3)) ).
cnf(u455,axiom,
ain(sF1,aun(sF1,apow(sF1))) ).
cnf(u979,axiom,
ain(sF3,apow(sF5)) ).
cnf(u643,axiom,
~ asubq(aun(asing(sF1),aun(a4,asing(sF0))),aun(a4,asing(sF0))) ).
cnf(u354,axiom,
( ~ ain(X0,asm(sF0,apow(sF3)))
| ain(X0,asm(a4,asing(a0))) ) ).
cnf(u1554,axiom,
( ~ aal3(asm(sF2,asing(X0)))
| ~ ain(X0,sF2) ) ).
cnf(u1180,axiom,
( ~ ain(X0,asing(a0))
| ~ ain(X0,a4)
| ain(X0,apow(sF1)) ) ).
cnf(u1340,axiom,
( ain(X0,apow(sF4))
| ~ ain(X0,sF0)
| ~ asubq(X0,sF1) ) ).
cnf(u1695,axiom,
( ain(X0,apow(sF4))
| ~ asubq(X0,sF3)
| ~ ain(X0,a4)
| ~ ain(X0,sF0)
| ain(X0,asing(a3)) ) ).
cnf(u997,axiom,
( asubq(a1,apow(X0))
| ~ asubq(a0,X0) ) ).
cnf(u994,axiom,
asubq(a1,a3) ).
cnf(u137,axiom,
( ~ ain(X2,asm(X0,X1))
| ain(X2,X0) ) ).
cnf(u1620,axiom,
( ~ ain(X0,a4)
| a0 = X0
| ain(X0,sF3)
| ain(X0,sF1)
| a3 = X0 ) ).
cnf(u1043,axiom,
~ asubq(a0,sF1) ).
cnf(u197,axiom,
aal4(aun(a3,asing(asm(apow(a2),a2)))) ).
cnf(u1673,axiom,
( asubq(aun(X0,X1),sF4)
| ~ asubq(X1,sF1)
| ~ asubq(X0,sF1)
| ~ asubq(X1,a2)
| ~ asubq(X0,a2) ) ).
cnf(u156,axiom,
~ ain(asing(a1),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))) ).
cnf(u200,axiom,
asubq(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),aun(a3,asing(apow(a2)))) ).
cnf(u844,axiom,
~ ain(sF3,asing(a0)) ).
cnf(u807,axiom,
~ asubq(a1,sF3) ).
cnf(u1293,axiom,
( ain(X0,aun(sF5,apow(sF4)))
| ain(X0,sF1)
| ~ ain(X0,sF0) ) ).
cnf(u1077,axiom,
asm(a3,sF3) = aint(aun(asing(sF1),a4),asm(sF0,sF3)) ).
cnf(u960,axiom,
( ain(aun(X1,X0),sF4)
| ~ asubq(X1,a2)
| ~ asubq(X0,a2)
| ain(aun(X1,X0),a3) ) ).
cnf(u842,axiom,
( ~ ain(X0,aun(sF4,asing(sF4)))
| ~ ain(X0,asing(sF5)) ) ).
cnf(u220,axiom,
( ~ asubq(sF4,X0)
| asubq(sF5,X0)
| ~ asubq(sF3,X0) ) ).
cnf(u226,axiom,
ain(a1,aun(asm(sF0,apow(sF1)),aun(apow(sF1),asing(sF0)))) ).
cnf(u937,axiom,
a3 = asm(sF0,sF4) ).
cnf(u1121,axiom,
( ~ ain(X0,aun(sF5,apow(sF4)))
| ain(X0,apow(sF4))
| ain(X0,asm(sF0,apow(sF1))) ) ).
cnf(u1709,axiom,
( ~ ain(X0,asing(a0))
| ain(X0,apow(sF3))
| ~ ain(X0,sF0) ) ).
cnf(u1388,axiom,
asubq(asm(sF0,apow(sF3)),a4) ).
cnf(u241,axiom,
( ~ ain(X0,sF0)
| ain(X0,sF2)
| ain(X0,sF1) ) ).
cnf(u141,axiom,
~ asubq(a2,a1) ).
cnf(u1617,axiom,
( ~ ain(X0,a4)
| ain(X0,sF3)
| a0 = X0
| ~ ain(X0,a2) ) ).
cnf(u1358,axiom,
asubq(a0,sF4) ).
cnf(u682,axiom,
~ ain(sF1,asm(sF0,sF3)) ).
cnf(u144,axiom,
~ ain(a1,apow(asing(a1))) ).
cnf(u1342,axiom,
( ~ asubq(X0,sF1)
| ~ ain(X0,sF0)
| asubq(X0,sF4) ) ).
cnf(u1286,axiom,
( ain(X0,aun(asm(sF0,apow(sF1)),apow(sF4)))
| ~ ain(X0,sF0) ) ).
cnf(u716,axiom,
( ~ ain(X0,sF0)
| ain(X0,sF1)
| sF3 = X0
| ain(X0,a2) ) ).
cnf(u503,axiom,
ain(sF4,asm(apow(sF5),asing(sF5))) ).
cnf(u167,axiom,
ain(a3,aun(asing(asing(a2)),a4)) ).
cnf(u211,axiom,
asing(sF3) = sF4 ).
cnf(u1288,axiom,
( ~ ain(X0,aun(asm(sF0,apow(sF1)),apow(sF4)))
| ain(X0,asing(sF4))
| ain(X0,sF0) ) ).
cnf(u714,axiom,
( ~ ain(X0,sF2)
| sF3 = X0
| ain(X0,a2) ) ).
cnf(u170,axiom,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))) ).
cnf(u183,axiom,
asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(a2)) = aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) ).
cnf(u477,axiom,
ain(a1,aun(asing(sF1),a4)) ).
cnf(u185,axiom,
( ~ ain(X0,asm(a4,a2))
| a3 = X0
| ain(X0,asing(a2)) ) ).
cnf(u1450,axiom,
( ain(X0,asm(a4,a2))
| a0 = X0
| ain(X0,sF3)
| ~ ain(X0,a4) ) ).
cnf(u1172,axiom,
( ~ ain(X0,apow(sF1))
| ~ ain(X0,a4)
| ain(X0,asing(a0)) ) ).
cnf(u380,axiom,
( ~ ain(X0,sF2)
| ~ ain(X0,sF1) ) ).
cnf(u176,axiom,
asubq(asm(apow(a2),apow(asing(a1))),asm(a3,asing(a0))) ).
cnf(u961,axiom,
( ain(aun(X1,X0),sF1)
| ~ asubq(X1,a2)
| ~ asubq(X0,a2)
| sF3 = aun(X1,X0)
| ain(aun(X1,X0),a2) ) ).
cnf(u192,axiom,
asubq(asm(a3,asing(a1)),aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))) ).
cnf(u936,axiom,
( ~ ain(X0,sF4)
| ~ ain(X0,a3) ) ).
cnf(u542,axiom,
ain(a2,aun(asing(sF1),a4)) ).
cnf(u479,axiom,
ain(a1,asm(aun(asing(sF1),a4),asm(sF0,sF3))) ).
cnf(u143,axiom,
ain(a0,apow(a2)) ).
cnf(u155,axiom,
ain(asing(asing(a1)),asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ).
cnf(u278,axiom,
asubq(asm(asm(sF0,apow(sF1)),sF1),sF5) ).
cnf(u1365,axiom,
~ ain(a0,sF3) ).
cnf(u146,axiom,
asubq(asing(a1),aun(asing(a1),asing(asing(a1)))) ).
cnf(u174,axiom,
asubq(asm(apow(a2),apow(asing(a1))),aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ).
cnf(u1179,axiom,
( ain(X0,asm(sF0,apow(sF3)))
| ~ ain(X0,a4)
| ain(X0,apow(sF1))
| ain(X0,asing(a3)) ) ).
cnf(u218,axiom,
asm(asm(a4,asing(a0)),asing(a3)) = asm(sF0,apow(sF3)) ).
cnf(u394,axiom,
ain(a3,aun(apow(sF1),asing(a3))) ).
cnf(u161,axiom,
~ ain(asm(apow(a2),a2),a4) ).
cnf(u189,axiom,
asubq(asm(a3,asing(a1)),aun(a4,asing(apow(a2)))) ).
cnf(u1219,axiom,
( ~ asubq(sF4,aun(X3,X2))
| ain(X1,aun(X0,sF5))
| ~ ain(X1,X2)
| aal3(X3)
| aal3(X2)
| ~ asubq(X0,aun(X3,X2))
| ~ aal4(aun(X0,sF5))
| ~ asubq(sF3,aun(X3,X2)) ) ).
cnf(u171,axiom,
~ asubq(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),a3) ).
cnf(u180,axiom,
asubq(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(a1),asing(asing(a1)))) ).
cnf(u1309,axiom,
( ~ ain(X0,aun(sF5,apow(sF4)))
| ain(X0,sF0)
| ain(X0,asing(sF4)) ) ).
cnf(u1461,axiom,
( ~ ain(X0,apow(sF3))
| ain(X0,apow(sF1))
| ain(X0,asing(a3))
| ~ ain(X0,a4) ) ).
cnf(u159,axiom,
ain(asing(a2),aun(asing(a2),apow(asing(a2)))) ).
cnf(u467,axiom,
asubq(sF1,sF1) ).
cnf(u382,axiom,
ain(a0,sF0) ).
cnf(u998,axiom,
( asubq(a1,asm(X0,X1))
| ~ ain(a0,X0)
| ain(a0,X1) ) ).
cnf(u150,axiom,
( ~ asubq(X0,apow(asing(a1)))
| ~ ain(a0,X0)
| ~ ain(asing(a1),X0)
| apow(asing(a1)) = X0 ) ).
cnf(u1802,axiom,
( asubq(aun(X0,X1),sF3)
| ~ asubq(X1,sF1)
| ~ asubq(X0,sF1)
| ~ asubq(X1,a2)
| ~ asubq(X0,a2) ) ).
cnf(u1221,axiom,
~ ain(a0,aun(sF4,asing(a3))) ).
cnf(u222,axiom,
aal4(aun(a3,asing(asm(sF0,a2)))) ).
cnf(u1782,axiom,
( asubq(aun(X0,X1),sF3)
| ain(aun(X0,X1),a4)
| ~ asubq(X1,a2)
| ~ asubq(X0,a2) ) ).
cnf(u165,axiom,
ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))) ).
cnf(u1362,axiom,
ain(a0,asm(a4,sF3)) ).
cnf(u209,axiom,
asing(a1) = sF3 ).
cnf(u1604,axiom,
( ain(X0,asing(a0))
| ~ ain(X0,a4)
| ain(X0,asing(a3))
| ain(X0,sF0) ) ).
cnf(u1462,axiom,
( ain(X0,apow(sF1))
| ~ ain(X0,a4)
| ain(X0,asing(a3))
| ain(X0,sF0) ) ).
cnf(u168,axiom,
ain(a2,aun(asing(asing(a2)),a4)) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO844+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n016.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 18:39:48 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 Running first-order theorem proving
% 0.08/0.19 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
% 8.63/1.80 % (3855250)Detected formulas, will run a generic FOF schedule.
% 8.63/1.80 % (3855260)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3743531810:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.63/1.80 % (3855257)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=4135920309:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.63/1.80 % (3855255)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=625504245:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.63/1.80 % (3855256)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=447625487:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.63/1.80 % (3855258)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=66249994:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.63/1.80 % (3855259)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3940191178:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.63/1.80 % (3855258)Refutation not found, incomplete strategy
% 8.63/1.80 % (3855258)------------------------------
% 8.63/1.80 % (3855258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/1.80 % (3855258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/1.80 % (3855258)CaDiCaL version: 2.1.3
% 8.63/1.80 % (3855258)Termination reason: Refutation not found, incomplete strategy
% 8.63/1.80 % (3855258)Time elapsed: 0.002 s
% 8.63/1.80 % (3855258)Peak memory usage: 87 MB
% 8.63/1.80 % (3855258)Instructions burned: 1 (million)
% 8.63/1.80 % (3855259)Refutation not found, incomplete strategy
% 8.63/1.80 % (3855259)------------------------------
% 8.63/1.80 % (3855259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/1.80 % (3855259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/1.80 % (3855259)CaDiCaL version: 2.1.3
% 8.63/1.80 % (3855259)Termination reason: Refutation not found, incomplete strategy
% 8.63/1.80 % (3855259)Time elapsed: 0.003 s
% 8.63/1.80 % (3855259)Peak memory usage: 87 MB
% 8.63/1.80 % (3855259)Instructions burned: 3 (million)
% 8.63/1.80 % (3855260)Refutation not found, incomplete strategy
% 8.63/1.80 % (3855260)------------------------------
% 8.63/1.80 % (3855260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/1.80 % (3855260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/1.80 % (3855260)CaDiCaL version: 2.1.3
% 8.63/1.80 % (3855260)Termination reason: Refutation not found, incomplete strategy
% 8.63/1.80 % (3855260)Time elapsed: 0.019 s
% 8.63/1.80 % (3855260)Peak memory usage: 89 MB
% 8.63/1.80 % (3855260)Instructions burned: 26 (million)
% 8.63/1.80 % (3855261)dis-21_1_sil=8000:lcm=predicate:random_seed=3031221477: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)
% 8.63/1.80 % (3855261)Refutation not found, incomplete strategy
% 8.63/1.80 % (3855261)------------------------------
% 8.63/1.80 % (3855261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/1.80 % (3855261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/1.80 % (3855261)CaDiCaL version: 2.1.3
% 8.63/1.80 % (3855261)Termination reason: Refutation not found, incomplete strategy
% 8.63/1.80 % (3855261)Time elapsed: 0.003 s
% 8.63/1.80 % (3855261)Peak memory usage: 88 MB
% 8.63/1.80 % (3855261)Instructions burned: 7 (million)
% 8.63/1.80 % (3855261)------------------------------
% 8.63/1.80 % (3855261)------------------------------
% 8.63/1.80 % (3855260)------------------------------
% 8.63/1.80 % (3855260)------------------------------
% 8.63/1.80 % (3855259)------------------------------
% 8.63/1.80 % (3855259)------------------------------
% 8.63/1.80 % (3855258)------------------------------
% 8.63/1.80 % (3855258)------------------------------
% 8.63/1.80 % (3855269)lrs+10_1_sil=8000:sp=occurrence:random_seed=822448781:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 8.63/1.80 % (3855269)Refutation not found, incomplete strategy
% 8.63/1.80 % (3855269)------------------------------
% 8.63/1.80 % (3855269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/1.80 % (3855269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.25 % (3855269)CaDiCaL version: 2.1.3
% 12.71/2.25 % (3855269)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.25 % (3855269)Time elapsed: 0.004 s
% 12.71/2.25 % (3855269)Peak memory usage: 88 MB
% 12.71/2.25 % (3855269)Instructions burned: 4 (million)
% 12.71/2.25 % (3855272)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=3290547403:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.71/2.25 % (3855270)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2670642244:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 12.71/2.25 % (3855271)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3762008936:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.71/2.25 % (3855271)Refutation not found, incomplete strategy
% 12.71/2.25 % (3855271)------------------------------
% 12.71/2.25 % (3855271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.25 % (3855271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.25 % (3855271)CaDiCaL version: 2.1.3
% 12.71/2.25 % (3855271)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.25 % (3855271)Time elapsed: 0.003 s
% 12.71/2.25 % (3855271)Peak memory usage: 88 MB
% 12.71/2.25 % (3855271)Instructions burned: 2 (million)
% 12.71/2.25 % (3855272)Instruction limit reached!
% 12.71/2.25 % (3855272)------------------------------
% 12.71/2.25 % (3855272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.25 % (3855272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.25 % (3855272)CaDiCaL version: 2.1.3
% 12.71/2.25 % (3855272)Termination reason: Instruction limit
% 12.71/2.25 % (3855272)Termination phase: Saturation
% 12.71/2.25 % (3855272)Time elapsed: 0.074 s
% 12.71/2.25 % (3855272)Peak memory usage: 93 MB
% 12.71/2.25 % (3855272)Instructions burned: 250 (million)
% 12.71/2.25 % (3855270)Instruction limit reached!
% 12.71/2.25 % (3855270)------------------------------
% 12.71/2.25 % (3855270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.25 % (3855270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.25 % (3855270)CaDiCaL version: 2.1.3
% 12.71/2.25 % (3855270)Termination reason: Instruction limit
% 12.71/2.25 % (3855270)Termination phase: Saturation
% 12.71/2.25 % (3855270)Time elapsed: 0.079 s
% 12.71/2.25 % (3855270)Peak memory usage: 91 MB
% 12.71/2.25 % (3855270)Instructions burned: 158 (million)
% 12.71/2.25 % (3855277)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=39231128:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 12.71/2.25 % (3855277)Refutation not found, incomplete strategy
% 12.71/2.25 % (3855277)------------------------------
% 12.71/2.25 % (3855277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.25 % (3855277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.25 % (3855277)CaDiCaL version: 2.1.3
% 12.71/2.25 % (3855277)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.25 % (3855277)Time elapsed: 0.002 s
% 12.71/2.25 % (3855277)Peak memory usage: 88 MB
% 12.71/2.25 % (3855277)Instructions burned: 3 (million)
% 12.71/2.25 % (3855269)------------------------------
% 12.71/2.25 % (3855269)------------------------------
% 12.71/2.25 % (3855278)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1334833906:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.71/2.25 % (3855271)------------------------------
% 12.71/2.25 % (3855271)------------------------------
% 12.71/2.25 % (3855277)------------------------------
% 12.71/2.25 % (3855277)------------------------------
% 12.71/2.25 % (3855280)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=722017951:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 12.71/2.25 % (3855255)Refutation not found, incomplete strategy
% 12.71/2.25 % (3855255)------------------------------
% 12.71/2.25 % (3855255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.25 % (3855255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.25 % (3855255)CaDiCaL version: 2.1.3
% 12.71/2.25 % (3855255)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.25 % (3855255)Time elapsed: 0.774 s
% 12.71/2.25 % (3855255)Peak memory usage: 128 MB
% 12.71/2.25 % (3855255)Instructions burned: 1120 (million)
% 12.71/2.27 % (3855280)Instruction limit reached!
% 12.71/2.27 % (3855280)------------------------------
% 12.71/2.27 % (3855280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855280)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855280)Termination reason: Instruction limit
% 12.71/2.27 % (3855280)Termination phase: Saturation
% 12.71/2.27 % (3855280)Time elapsed: 0.074 s
% 12.71/2.27 % (3855280)Peak memory usage: 89 MB
% 12.71/2.27 % (3855280)Instructions burned: 114 (million)
% 12.71/2.27 % (3855282)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2373425211:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 12.71/2.27 % (3855283)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=335256388:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 12.71/2.27 % (3855283)Instruction limit reached!
% 12.71/2.27 % (3855283)------------------------------
% 12.71/2.27 % (3855283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855283)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855283)Termination reason: Instruction limit
% 12.71/2.27 % (3855283)Termination phase: Saturation
% 12.71/2.27 % (3855283)Time elapsed: 0.031 s
% 12.71/2.27 % (3855283)Peak memory usage: 89 MB
% 12.71/2.27 % (3855283)Instructions burned: 115 (million)
% 12.71/2.27 % (3855282)Instruction limit reached!
% 12.71/2.27 % (3855282)------------------------------
% 12.71/2.27 % (3855282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855282)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855282)Termination reason: Instruction limit
% 12.71/2.27 % (3855282)Termination phase: Saturation
% 12.71/2.27 % (3855282)Time elapsed: 0.058 s
% 12.71/2.27 % (3855282)Peak memory usage: 87 MB
% 12.71/2.27 % (3855282)Instructions burned: 129 (million)
% 12.71/2.27 % (3855286)lrs+10_1_sil=8000:sp=occurrence:random_seed=949574913:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 12.71/2.27 % (3855286)Refutation not found, incomplete strategy
% 12.71/2.27 % (3855286)------------------------------
% 12.71/2.27 % (3855286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855286)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855286)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.27 % (3855286)Time elapsed: 0.004 s
% 12.71/2.27 % (3855286)Peak memory usage: 88 MB
% 12.71/2.27 % (3855286)Instructions burned: 4 (million)
% 12.71/2.27 % (3855288)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2340409109:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 12.71/2.27 % (3855288)Refutation not found, incomplete strategy
% 12.71/2.27 % (3855288)------------------------------
% 12.71/2.27 % (3855288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855288)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855288)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.27 % (3855288)Time elapsed: 0.002 s
% 12.71/2.27 % (3855288)Peak memory usage: 88 MB
% 12.71/2.27 % (3855288)Instructions burned: 4 (million)
% 12.71/2.27 % (3855255)------------------------------
% 12.71/2.27 % (3855255)------------------------------
% 12.71/2.27 % (3855289)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3504063456:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 12.71/2.27 % (3855288)------------------------------
% 12.71/2.27 % (3855288)------------------------------
% 12.71/2.27 % (3855292)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3971624276:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 12.71/2.27 % (3855286)------------------------------
% 12.71/2.27 % (3855286)------------------------------
% 12.71/2.27 % (3855294)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3445518629:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 12.71/2.27 % (3855294)Refutation not found, incomplete strategy
% 12.71/2.27 % (3855294)------------------------------
% 12.71/2.27 % (3855294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855294)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855294)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.27 % (3855294)Time elapsed: 0.002 s
% 12.71/2.27 % (3855294)Peak memory usage: 88 MB
% 12.71/2.27 % (3855294)Instructions burned: 3 (million)
% 12.71/2.27 % (3855292)Instruction limit reached!
% 12.71/2.27 % (3855292)------------------------------
% 12.71/2.27 % (3855292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855292)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855292)Termination reason: Instruction limit
% 12.71/2.27 % (3855292)Termination phase: Saturation
% 12.71/2.27 % (3855292)Time elapsed: 0.081 s
% 12.71/2.27 % (3855292)Peak memory usage: 91 MB
% 12.71/2.27 % (3855292)Instructions burned: 135 (million)
% 12.71/2.27 % (3855296)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3183528579:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 12.71/2.27 % (3855294)------------------------------
% 12.71/2.27 % (3855294)------------------------------
% 12.71/2.27 % (3855278)First to succeed.
% 12.71/2.27 % (3855278)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3855250"
% 12.71/2.27 % (3855298)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4098832600:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 12.71/2.27 % (3855298)Instruction limit reached!
% 12.71/2.27 % (3855298)------------------------------
% 12.71/2.27 % (3855298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855298)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855298)Termination reason: Instruction limit
% 12.71/2.27 % (3855298)Termination phase: Saturation
% 12.71/2.27 % (3855298)Time elapsed: 0.071 s
% 12.71/2.27 % (3855298)Peak memory usage: 90 MB
% 12.71/2.27 % (3855298)Instructions burned: 126 (million)
% 12.71/2.27 % (3855300)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=708549167:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 12.71/2.27 % (3855300)Instruction limit reached!
% 12.71/2.27 % (3855300)------------------------------
% 12.71/2.27 % (3855300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855300)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855300)Termination reason: Instruction limit
% 12.71/2.27 % (3855300)Termination phase: Saturation
% 12.71/2.27 % (3855300)Time elapsed: 0.044 s
% 12.71/2.27 % (3855300)Peak memory usage: 90 MB
% 12.71/2.27 % (3855300)Instructions burned: 135 (million)
% 12.71/2.27 % (3855289)Refutation not found, incomplete strategy
% 12.71/2.27 % (3855289)------------------------------
% 12.71/2.27 % (3855289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855289)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855289)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.27 % (3855289)Time elapsed: 0.633 s
% 12.71/2.27 % (3855289)Peak memory usage: 128 MB
% 12.71/2.27 % (3855289)Instructions burned: 929 (million)
% 12.71/2.27 % (3855302)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=315416709:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 12.71/2.27 % (3855302)Refutation not found, incomplete strategy
% 12.71/2.27 % (3855302)------------------------------
% 12.71/2.27 % (3855302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855302)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855302)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.27 % (3855302)Time elapsed: 0.002 s
% 12.71/2.27 % (3855302)Peak memory usage: 88 MB
% 12.71/2.27 % (3855304)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2828983607:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 12.71/2.27 % (3855304)Refutation not found, incomplete strategy
% 12.71/2.27 % (3855304)------------------------------
% 12.71/2.27 % (3855304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.27 % (3855304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.27 % (3855304)CaDiCaL version: 2.1.3
% 12.71/2.27 % (3855304)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.27 % (3855304)Time elapsed: 0.003 s
% 12.71/2.27 % (3855304)Peak memory usage: 88 MB
% 12.71/2.27 % (3855304)Instructions burned: 9 (million)
% 12.71/2.27 % SZS status CounterSatisfiable for theBenchmark
% 12.71/2.27 % SZS output start Saturation.
% See solution above
% 13.54/2.46 % SZS output start Definitions and Model Updates.
% 13.54/2.46 for all inputs,
% 13.54/2.46 define aal2(X0) := $true
% 13.54/2.46 for all inputs,
% 13.54/2.46 define aal6(X0) := $false
% 13.54/2.46 for all inputs,
% 13.54/2.46 define adisjoint(X0,X1) := $false
% 13.54/2.46 for all inputs,
% 13.54/2.46 define aal5(X0) := $false
% 13.54/2.46 for all inputs,
% 13.54/2.46 define aex3(X0) := $true
% 13.54/2.46 for all inputs,
% 13.54/2.46 define aex4(X0) := $true
% 13.54/2.46 for all inputs,
% 13.54/2.46 define aex5(X0) := $true
% 13.54/2.46 % SZS output end Definitions and Model Updates.
% 13.54/2.46 % (3855278)------------------------------
% 13.54/2.46 % (3855278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.54/2.46 % (3855278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.54/2.46 % (3855278)CaDiCaL version: 2.1.3
% 13.54/2.46 % (3855278)Termination reason: Satisfiable
% 13.54/2.46 % (3855278)Time elapsed: 0.792 s
% 13.54/2.46 % (3855278)Peak memory usage: 130 MB
% 13.54/2.46 % (3855278)Instructions burned: 1124 (million)
% 13.54/2.46 % (3855278)------------------------------
% 13.54/2.46 % (3855278)------------------------------
% 13.54/2.46 % (3855250)Success in time 1.879 s
% 13.54/2.46 % Vampire exiting
%------------------------------------------------------------------------------