TSTP Solution File: SYO844+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYO844+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:15:51 EDT 2024
% Result : CounterSatisfiable 0.22s 0.45s
% Output : Saturation 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u206,negated_conjecture,
asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1)))) ).
cnf(u211,axiom,
~ asubq(a2,a1) ).
cnf(u216,axiom,
ain(a0,apow(a2)) ).
cnf(u221,axiom,
apow(asing(a1)) != a3 ).
cnf(u226,axiom,
~ aal3(aun(a1,asing(a3))) ).
cnf(u231,axiom,
~ ain(a1,apow(asing(a1))) ).
cnf(u236,axiom,
~ ain(asing(a1),asing(a2)) ).
cnf(u241,axiom,
~ ain(asm(apow(a2),a2),a4) ).
cnf(u246,axiom,
ain(a0,asm(a4,asing(a1))) ).
cnf(u251,axiom,
ain(a0,aun(a1,asing(a3))) ).
cnf(u255,axiom,
( ~ ain(a0,X0)
| asubq(a1,X0) ) ).
cnf(u263,axiom,
apow(a2) != asm(apow(a2),a2) ).
cnf(u268,axiom,
asubq(a1,apow(a2)) ).
cnf(u273,axiom,
~ aal4(asm(apow(a2),apow(asing(a2)))) ).
cnf(u278,axiom,
~ ain(a3,asm(apow(a2),asing(a1))) ).
cnf(u283,axiom,
asubq(a3,aun(a3,asing(apow(a2)))) ).
cnf(u288,axiom,
ain(a3,aun(asing(asing(a2)),a4)) ).
cnf(u293,axiom,
ain(a2,asm(a4,apow(asing(a2)))) ).
cnf(u299,axiom,
ain(a2,asm(a4,asing(a0))) ).
cnf(u304,axiom,
ain(a2,aun(asing(asing(a2)),a4)) ).
cnf(u308,axiom,
( ~ ain(X1,apow(X0))
| asubq(X1,X0) ) ).
cnf(u312,axiom,
( ain(X1,apow(X0))
| ~ asubq(X1,X0) ) ).
cnf(u321,axiom,
~ ain(a0,aun(asing(asing(a1)),asing(a3))) ).
cnf(u326,axiom,
~ ain(asm(a3,asing(a1)),asing(asing(a1))) ).
cnf(u331,axiom,
asubq(a0,a2) ).
cnf(u336,axiom,
a3 = asm(apow(a2),asing(asing(a1))) ).
cnf(u341,axiom,
aal4(aun(a3,asing(asm(apow(a2),a2)))) ).
cnf(u346,axiom,
asubq(a3,aun(a3,asing(apow(asing(a1))))) ).
cnf(u351,axiom,
asubq(asm(apow(a2),apow(asing(a1))),a4) ).
cnf(u356,axiom,
ain(a3,aun(apow(asing(a2)),asing(a3))) ).
cnf(u360,axiom,
( ~ ain(X2,asm(X0,X1))
| ~ ain(X2,X1) ) ).
cnf(u364,axiom,
( ~ ain(X2,asm(X0,X1))
| ain(X2,X0) ) ).
cnf(u375,axiom,
~ ain(apow(a2),aun(apow(a2),asing(asing(a2)))) ).
cnf(u380,axiom,
~ ain(asing(a1),asm(apow(a2),apow(asing(a1)))) ).
cnf(u385,axiom,
asubq(asing(a1),aun(asing(a1),asing(asing(a1)))) ).
cnf(u390,axiom,
ain(asing(a2),aun(asing(a2),apow(asing(a2)))) ).
cnf(u395,axiom,
ain(a2,a4) ).
cnf(u400,axiom,
asm(a4,apow(asing(a2))) = asm(a4,asing(a0)) ).
cnf(u405,axiom,
asubq(asing(asing(a1)),aun(asing(a1),asing(asing(a1)))) ).
cnf(u410,axiom,
asubq(asm(a3,asing(a1)),aun(a4,asing(apow(a2)))) ).
cnf(u417,axiom,
ain(a0,a4) ).
cnf(u422,axiom,
asubq(asm(apow(a2),apow(asing(a1))),asm(a3,asing(a0))) ).
cnf(u427,axiom,
asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))) ).
cnf(u432,axiom,
asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)) ).
cnf(u437,axiom,
ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))) ).
cnf(u441,axiom,
( asubq(aun(X0,X1),X2)
| ~ asubq(X1,X2)
| ~ asubq(X0,X2) ) ).
cnf(u445,axiom,
( ~ ain(X2,aun(X0,X1))
| ain(X2,X0)
| ain(X2,X1) ) ).
cnf(u449,axiom,
( ain(X2,asm(X0,X1))
| ain(X2,X1)
| ~ ain(X2,X0) ) ).
cnf(u466,axiom,
( ~ ain(X0,asm(a4,a2))
| a3 = X0
| ain(X0,asing(a2)) ) ).
cnf(u472,axiom,
~ asubq(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),a3) ).
cnf(u477,axiom,
ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))) ).
cnf(u486,axiom,
~ ain(asing(a1),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))) ).
cnf(u491,axiom,
ain(asing(a2),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))) ).
cnf(u495,axiom,
( ~ ain(X0,asm(a4,asing(a1)))
| a0 = X0
| ain(X0,asm(a4,a2)) ) ).
cnf(u499,axiom,
( ~ ain(X0,asm(apow(a2),asing(a2)))
| asing(a1) = X0
| ain(X0,a2) ) ).
cnf(u504,axiom,
asm(apow(a2),apow(asing(a1))) = asm(asm(a4,asing(a0)),asing(a3)) ).
cnf(u517,axiom,
asubq(a1,a4) ).
cnf(u522,axiom,
~ asubq(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),aun(a4,asing(apow(a2)))) ).
cnf(u528,axiom,
asm(a3,asing(a1)) = aint(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))) ).
cnf(u533,axiom,
asubq(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(a1),asing(asing(a1)))) ).
cnf(u538,axiom,
ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))) ).
cnf(u543,axiom,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))) ).
cnf(u547,axiom,
( ~ aal3(asm(asm(apow(a2),asing(a2)),asing(X0)))
| ~ ain(X0,asm(apow(a2),asing(a2))) ) ).
cnf(u554,axiom,
asubq(asm(a3,asing(a1)),aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))) ).
cnf(u558,axiom,
( ~ asubq(X0,apow(asing(a1)))
| ~ ain(a0,X0)
| ~ ain(asing(a1),X0)
| apow(asing(a1)) = X0 ) ).
cnf(u562,axiom,
( ain(X0,aun(a3,asing(apow(a2))))
| ain(X0,asing(asing(a2)))
| ~ ain(X0,apow(asing(a2))) ) ).
cnf(u566,axiom,
( ~ asubq(X2,aun(X0,X1))
| aal3(X0)
| ~ aal4(X2)
| ain(X3,X2)
| ~ ain(X3,X1)
| aal3(X1) ) ).
cnf(u582,axiom,
~ asubq(a1,asing(a1)) ).
cnf(u587,axiom,
asubq(asm(apow(a2),apow(asing(a1))),aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ).
cnf(u593,axiom,
apow(a2) = asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))) ).
cnf(u598,axiom,
ain(asing(asing(a1)),asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ).
cnf(u608,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(u616,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(u624,axiom,
~ ain(a2,asing(a0)) ).
cnf(u628,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(u632,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(u637,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(u643,axiom,
~ ain(a0,asing(a1)) ).
cnf(u648,axiom,
asubq(a1,asm(a4,asing(a1))) ).
cnf(u653,axiom,
asubq(a1,aun(a1,asing(a3))) ).
cnf(u658,negated_conjecture,
~ aal3(asing(asing(a1))) ).
cnf(u666,negated_conjecture,
~ aal4(asm(apow(a2),asing(a2))) ).
cnf(u670,negated_conjecture,
aal3(asing(a1)) ).
cnf(u674,axiom,
( asubq(a1,apow(X0))
| ~ asubq(a0,X0) ) ).
cnf(u678,axiom,
( ain(X0,apow(a2))
| ~ ain(X0,a3) ) ).
cnf(u682,axiom,
~ ain(a0,asing(a3)) ).
cnf(u687,axiom,
ain(a0,a1) ).
cnf(u693,axiom,
ain(a1,aun(asing(asing(a2)),a4)) ).
cnf(u698,axiom,
~ ain(a1,asm(apow(a2),asing(a1))) ).
cnf(u707,axiom,
( ~ ain(X0,asing(asing(a1)))
| ~ ain(X0,a3) ) ).
cnf(u712,axiom,
ain(a3,a4) ).
cnf(u715,axiom,
~ ain(a3,asing(asing(a2))) ).
cnf(u721,axiom,
asubq(a1,asing(a3)) ).
cnf(u727,axiom,
~ ain(a3,apow(a2)) ).
cnf(u730,axiom,
~ ain(a3,asing(a1)) ).
cnf(u738,axiom,
ain(asing(a2),aun(asing(asing(a2)),a4)) ).
cnf(u743,axiom,
~ ain(asing(a2),asm(apow(a2),asing(a1))) ).
cnf(u749,axiom,
asubq(a1,a1) ).
cnf(u756,axiom,
ain(a3,asing(a3)) ).
cnf(u759,axiom,
~ ain(a3,apow(asing(a2))) ).
cnf(u765,axiom,
( ~ ain(X0,asing(asing(asing(a1))))
| ~ ain(X0,apow(a2)) ) ).
cnf(u769,axiom,
( ~ ain(X0,asm(a4,asing(a0)))
| ~ ain(X0,apow(asing(a2))) ) ).
cnf(u773,axiom,
~ ain(asing(a2),apow(asing(a2))) ).
cnf(u778,axiom,
ain(asing(a2),asing(a2)) ).
cnf(u783,axiom,
~ ain(a3,a3) ).
cnf(u788,axiom,
( asubq(a1,asm(X1,X0))
| ~ ain(a0,X1)
| ain(a0,X0) ) ).
cnf(u793,axiom,
~ ain(asing(a1),apow(a2)) ).
cnf(u796,axiom,
~ ain(asing(a1),apow(asing(a1))) ).
cnf(u805,axiom,
ain(asing(asing(a1)),apow(aun(asing(a1),asing(asing(a1))))) ).
cnf(u810,axiom,
~ ain(asing(asing(a1)),asing(aun(asing(a1),asing(asing(a1))))) ).
cnf(u823,axiom,
~ asubq(a3,a2) ).
cnf(u828,axiom,
( ain(X0,asing(asing(a1)))
| ain(X0,a3)
| ~ ain(X0,apow(a2)) ) ).
cnf(u832,axiom,
( ~ ain(X0,asm(apow(a2),apow(asing(a1))))
| ~ ain(X0,asing(a3)) ) ).
cnf(u841,axiom,
ain(asing(a1),asing(asing(asing(a1)))) ).
cnf(u844,axiom,
~ ain(asing(a1),asing(asing(a1))) ).
cnf(u851,axiom,
( ain(X0,asing(a2))
| a3 = X0
| ain(X0,a2)
| ~ ain(X0,a4) ) ).
cnf(u858,axiom,
( ain(X0,asm(a4,asing(a0)))
| ain(X0,apow(asing(a2)))
| ~ ain(X0,a4) ) ).
cnf(u863,axiom,
~ asubq(asm(apow(a2),apow(asing(a1))),a3) ).
cnf(u867,axiom,
~ asubq(apow(asing(asing(a1))),a3) ).
cnf(u871,axiom,
( ~ ain(X0,asm(apow(a2),apow(asing(a1))))
| ain(X0,asm(a4,asing(a0))) ) ).
cnf(u875,axiom,
( ~ ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ ain(X0,asing(a0)) ) ).
cnf(u885,axiom,
( ain(X0,asm(a4,a2))
| a0 = X0
| ain(X0,asing(a1))
| ~ ain(X0,a4) ) ).
cnf(u889,axiom,
( ~ ain(X0,apow(a2))
| ain(X0,a2)
| ain(X0,asing(a2))
| asing(a1) = X0 ) ).
cnf(u901,axiom,
aal3(asing(apow(a2))) ).
cnf(u908,axiom,
~ aal4(a3) ).
cnf(u912,axiom,
aal3(a3) ).
cnf(u917,axiom,
ain(a1,aun(asing(asing(a2)),asing(apow(a2)))) ).
cnf(u920,axiom,
~ ain(a1,asm(apow(a2),apow(asing(a1)))) ).
cnf(u928,axiom,
ain(a1,aun(apow(asing(a2)),asing(apow(a2)))) ).
cnf(u931,axiom,
~ ain(a1,asm(apow(a2),apow(asing(a2)))) ).
cnf(u939,axiom,
asubq(a1,aun(a3,asing(apow(a2)))) ).
cnf(u943,axiom,
~ ain(a0,apow(asing(a2))) ).
cnf(u946,axiom,
~ ain(a0,asing(asing(a2))) ).
cnf(u952,axiom,
( ain(X0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ ain(X0,apow(a2)) ) ).
cnf(u956,axiom,
( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ~ ain(X0,asing(a2)) ) ).
cnf(u962,axiom,
( ain(X0,asm(apow(a2),apow(asing(a1))))
| ain(X0,asing(a3))
| ~ ain(X0,asm(a4,asing(a0))) ) ).
cnf(u966,axiom,
( ~ ain(X0,apow(asing(a2)))
| ain(X0,asing(asing(a2)))
| ain(X0,a3)
| ain(X0,asing(apow(a2))) ) ).
cnf(u983,axiom,
~ aal4(asing(a1)) ).
cnf(u988,axiom,
~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2)))) ).
cnf(u992,axiom,
~ asubq(aun(a4,asing(apow(a2))),aun(a4,asing(apow(a2)))) ).
cnf(u997,axiom,
~ asubq(a3,asing(a2)) ).
cnf(u1006,axiom,
~ aal4(asm(a3,asing(a1))) ).
cnf(u1009,axiom,
~ aal3(a4) ).
cnf(u1014,axiom,
( ~ ain(X0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ain(X0,asing(asing(asing(a1))))
| ain(X0,apow(a2)) ) ).
cnf(u1019,axiom,
( ~ asubq(X2,aun(X0,X4))
| ~ aal4(aun(X1,X2))
| ain(X3,aun(X1,X2))
| ~ ain(X3,X4)
| aal3(X4)
| aal3(X0)
| ~ asubq(X1,aun(X0,X4)) ) ).
cnf(u1023,axiom,
( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ain(X0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ) ).
cnf(u1039,axiom,
~ ain(asing(a1),a3) ).
cnf(u1043,axiom,
( ain(X0,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))))
| ~ ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1))))) ) ).
cnf(u1050,axiom,
( ~ ain(asing(a1),aun(X0,X1))
| ~ ain(a0,aun(X0,X1))
| aun(X0,X1) = apow(asing(a1))
| ~ asubq(X1,apow(asing(a1)))
| ~ asubq(X0,apow(asing(a1))) ) ).
cnf(u1057,axiom,
( ~ ain(X0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ain(X0,asing(a2))
| ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ) ).
cnf(u1062,axiom,
( ~ ain(X0,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))))
| ain(X0,asing(a0))
| ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1))))) ) ).
cnf(u1073,axiom,
~ aal4(asm(asm(apow(a2),apow(asing(a2))),asing(a2))) ).
cnf(u1078,axiom,
~ asubq(asing(a1),a2) ).
cnf(u1083,axiom,
aal3(apow(asing(asing(a1)))) ).
cnf(u1090,axiom,
~ aal4(asm(apow(a2),apow(asing(a1)))) ).
cnf(u1093,axiom,
~ aal3(asm(apow(a2),apow(asing(a2)))) ).
cnf(u1102,axiom,
~ aal4(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)))) ).
cnf(u1107,axiom,
~ asubq(a0,asing(a2)) ).
cnf(u1111,axiom,
~ asubq(asing(a2),asing(a2)) ).
cnf(u1118,axiom,
~ asubq(asing(a1),asing(a1)) ).
cnf(u1123,axiom,
~ ain(a2,apow(asing(a2))) ).
cnf(u1128,axiom,
~ ain(asing(a1),asing(a0)) ).
cnf(u1134,axiom,
~ asubq(a2,asing(a2)) ).
cnf(u1138,axiom,
( ~ ain(X0,a3)
| asubq(X0,a2) ) ).
cnf(u1142,axiom,
~ ain(a1,a4) ).
cnf(u1147,axiom,
ain(a1,asing(asing(a2))) ).
cnf(u1152,axiom,
~ ain(a1,apow(a2)) ).
cnf(u1156,axiom,
ain(a1,asing(a1)) ).
cnf(u1167,axiom,
~ ain(a1,a3) ).
cnf(u1171,axiom,
~ ain(asing(a2),a4) ).
cnf(u1176,axiom,
ain(asing(a2),asing(asing(a2))) ).
cnf(u1181,axiom,
~ ain(asing(a2),apow(a2)) ).
cnf(u1184,axiom,
~ ain(asing(a2),asing(a1)) ).
cnf(u1192,axiom,
ain(a1,asing(apow(a2))) ).
cnf(u1201,axiom,
~ ain(a1,asing(a3)) ).
cnf(u1206,axiom,
~ asubq(a1,a2) ).
cnf(u1215,axiom,
ain(a1,apow(asing(a2))) ).
cnf(u1230,axiom,
~ ain(a1,asm(a4,asing(a0))) ).
cnf(u1243,axiom,
a0 != asing(a1) ).
cnf(u1248,axiom,
ain(a0,asing(a2)) ).
cnf(u1251,axiom,
~ ain(a0,a2) ).
cnf(u1337,axiom,
( ~ ain(X0,apow(asing(a2)))
| ain(X0,asing(a0))
| ~ ain(X0,a4) ) ).
cnf(u1342,axiom,
~ ain(asing(a1),a4) ).
cnf(u1345,axiom,
~ ain(asing(a1),a2) ).
cnf(u1349,axiom,
asing(a1) != a3 ).
cnf(u1358,axiom,
a0 != a3 ).
cnf(u1364,axiom,
~ ain(a0,asing(asing(a1))) ).
cnf(u1369,axiom,
asubq(a1,a3) ).
cnf(u1375,axiom,
( ain(X0,apow(asing(a2)))
| ~ ain(X0,a4)
| ~ ain(X0,asing(a0)) ) ).
cnf(u1380,axiom,
~ ain(asing(a1),asm(a4,asing(a0))) ).
cnf(u1383,axiom,
~ ain(asing(a1),asing(a3)) ).
cnf(u1388,axiom,
ain(a0,a3) ).
cnf(u1407,axiom,
~ ain(asm(a3,asing(a1)),apow(a2)) ).
cnf(u1410,axiom,
~ ain(asm(a3,asing(a1)),a3) ).
cnf(u1417,axiom,
( ain(X0,apow(asing(a1)))
| ~ ain(X0,asing(a3))
| ~ ain(X0,apow(a2)) ) ).
cnf(u1421,axiom,
( ain(X0,asing(a1))
| a0 = X0
| ~ ain(X0,a4)
| ~ ain(X0,a2) ) ).
cnf(u1434,axiom,
aal3(asing(a3)) ).
cnf(u1441,axiom,
~ aal4(a1) ).
cnf(u1444,axiom,
~ aal3(a1) ).
cnf(u1450,axiom,
asubq(a1,asm(a4,asing(a0))) ).
cnf(u1461,axiom,
~ asubq(a1,apow(asing(a2))) ).
cnf(u1469,axiom,
( ain(X0,asing(a2))
| ain(X0,a2)
| asing(a1) = X0
| ~ ain(X0,a3) ) ).
cnf(u1473,axiom,
( ain(X0,asing(a2))
| ain(X0,a2)
| asing(a1) = X0
| ~ asubq(X0,a2) ) ).
cnf(u1477,axiom,
( ~ ain(X0,asm(a4,asing(a0)))
| ain(X0,asing(a3))
| ain(X0,apow(a2)) ) ).
cnf(u1486,axiom,
~ ain(asing(a2),a3) ).
cnf(u1493,axiom,
( ain(X0,asm(a4,asing(a0)))
| ain(X0,apow(asing(a1)))
| ~ ain(X0,apow(a2)) ) ).
cnf(u1497,axiom,
( ~ ain(X0,asm(a4,asing(a0)))
| ain(X0,asing(a3))
| ~ ain(X0,apow(asing(a1))) ) ).
cnf(u1513,axiom,
~ asubq(a4,aun(a4,asing(apow(a2)))) ).
cnf(u1517,axiom,
~ asubq(asing(apow(a2)),aun(a4,asing(apow(a2)))) ).
cnf(u1521,axiom,
( ain(X0,asing(a2))
| ain(X0,asing(a1))
| ~ ain(X0,a4)
| a3 = X0
| a0 = X0 ) ).
cnf(u1526,axiom,
asubq(a1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ).
cnf(u1531,axiom,
~ asubq(asing(a2),a2) ).
cnf(u1537,axiom,
( ain(X0,asing(asing(a2)))
| ain(X0,a3)
| ain(X0,asing(apow(a2)))
| ~ asubq(X0,asing(a2)) ) ).
cnf(u1547,axiom,
( ain(X0,asm(apow(a2),apow(asing(a2))))
| ~ ain(X0,apow(a2))
| ain(X0,apow(asing(asing(a1)))) ) ).
cnf(u1551,axiom,
~ ain(asing(asing(a1)),aun(asing(asing(a1)),asing(asing(asing(a1))))) ).
cnf(u1556,axiom,
ain(asing(asing(a1)),asing(a0)) ).
cnf(u1566,axiom,
( ~ ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(X0,apow(aun(asing(a1),asing(asing(a1))))) ) ).
cnf(u1570,axiom,
asubq(a1,asing(a2)) ).
cnf(u1575,axiom,
( ~ ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ ain(X0,asing(aun(asing(a1),asing(asing(a1))))) ) ).
cnf(u1583,axiom,
( ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ain(X0,asing(a2))
| ~ ain(X0,apow(a2)) ) ).
cnf(u1600,axiom,
~ asubq(a1,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ).
cnf(u1605,axiom,
~ ain(a0,aun(asing(asing(a1)),asing(asing(asing(a1))))) ).
cnf(u1616,axiom,
ain(a0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ).
cnf(u1620,axiom,
~ asubq(a1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ).
cnf(u1626,axiom,
~ aal3(asing(apow(asing(a1)))) ).
cnf(u1650,axiom,
~ ain(a0,asing(a0)) ).
cnf(u1655,axiom,
~ ain(a0,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ).
cnf(u1658,axiom,
~ asubq(a1,aun(asing(asing(a1)),asing(asing(asing(a1))))) ).
cnf(u1665,axiom,
( ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(X0,asing(a0))
| ain(X0,asing(aun(asing(a1),asing(asing(a1)))))
| ~ ain(X0,apow(aun(asing(a1),asing(asing(a1))))) ) ).
cnf(u1676,axiom,
( ~ aal4(aun(X0,aun(X1,X2)))
| ain(X3,aun(X0,aun(X1,X2)))
| ~ ain(X3,X4)
| aal3(X4)
| aal3(X5)
| ~ asubq(X0,aun(X5,X4))
| ~ asubq(X2,aun(X5,X4))
| ~ asubq(X1,aun(X5,X4)) ) ).
cnf(u1681,axiom,
~ ain(asing(a1),apow(asing(a2))) ).
cnf(u1684,axiom,
~ ain(asing(a1),asing(asing(a2))) ).
cnf(u1689,axiom,
~ asubq(a3,apow(asing(a1))) ).
cnf(u1693,axiom,
~ asubq(asing(apow(a2)),apow(asing(a1))) ).
cnf(u1696,axiom,
apow(asing(a1)) != aun(a3,asing(apow(a2))) ).
cnf(u1701,axiom,
~ ain(a0,aun(a3,asing(apow(a2)))) ).
cnf(u1720,axiom,
~ ain(a1,asing(a0)) ).
cnf(u1725,axiom,
~ asubq(a1,asing(asing(a1))) ).
cnf(u1740,axiom,
~ asubq(asing(a1),asing(a2)) ).
cnf(u1745,axiom,
~ asubq(asm(a3,asing(a1)),a2) ).
cnf(u1750,axiom,
~ ain(a3,asing(a0)) ).
cnf(u1758,axiom,
~ ain(a2,apow(a2)) ).
cnf(u1763,axiom,
ain(a2,asing(a3)) ).
cnf(u1770,axiom,
~ ain(asing(a2),asing(a0)) ).
cnf(u1775,axiom,
~ ain(a3,a2) ).
cnf(u1780,axiom,
~ ain(a2,apow(asing(a1))) ).
cnf(u1787,axiom,
ain(asing(a1),apow(aun(asing(a1),asing(asing(a1))))) ).
cnf(u1792,axiom,
~ ain(asing(a1),asing(aun(asing(a1),asing(asing(a1))))) ).
cnf(u1797,axiom,
~ asubq(a2,a2) ).
cnf(u1804,axiom,
( ~ asubq(X0,asing(a2))
| ~ ain(X0,a4)
| ain(X0,asing(a0)) ) ).
cnf(u1808,axiom,
( ~ ain(X0,asing(a0))
| ~ ain(X0,a4)
| asubq(X0,asing(a2)) ) ).
cnf(u1815,axiom,
( ~ ain(X0,asing(a3))
| ~ ain(X0,apow(a2))
| asubq(X0,asing(a1)) ) ).
cnf(u1820,axiom,
~ ain(asing(a2),a2) ).
cnf(u1823,axiom,
a0 != asing(a2) ).
cnf(u1828,axiom,
( ain(X0,apow(asing(a1)))
| ~ ain(X0,apow(a2))
| ain(X0,a4) ) ).
cnf(u1841,axiom,
asubq(a1,apow(asing(a1))) ).
cnf(u1846,axiom,
a1 != apow(asing(a1)) ).
cnf(u1851,axiom,
~ ain(asing(a1),a1) ).
cnf(u1855,axiom,
~ asubq(a0,asing(a1)) ).
cnf(u1860,axiom,
~ ain(a2,a3) ).
cnf(u1865,axiom,
asubq(a1,asm(apow(a2),apow(asing(a1)))) ).
cnf(u1868,axiom,
ain(a0,asm(a4,asing(a0))) ).
cnf(u1881,axiom,
~ asubq(a1,asing(a0)) ).
cnf(u1895,axiom,
~ ain(a0,apow(asing(a1))) ).
cnf(u1903,axiom,
( ain(X0,apow(asing(a1)))
| ~ ain(X0,apow(a2))
| ~ ain(X0,asing(a0)) ) ).
cnf(u1913,axiom,
( ~ ain(X0,apow(asing(a2)))
| ~ ain(X0,apow(a2))
| ain(X0,apow(asing(a1))) ) ).
cnf(u1918,axiom,
~ asubq(a2,asing(a1)) ).
cnf(u1922,axiom,
~ ain(a0,apow(asing(asing(a1)))) ).
cnf(u1927,axiom,
ain(a0,asm(apow(a2),apow(asing(a2)))) ).
cnf(u1938,axiom,
( ain(X0,asing(a3))
| ain(X0,apow(a2))
| ain(X0,asing(a0))
| ~ ain(X0,a4) ) ).
cnf(u1942,axiom,
~ ain(asing(asing(a1)),asing(asing(asing(a1)))) ).
cnf(u1946,axiom,
~ ain(asing(asing(a1)),asing(asing(a1))) ).
cnf(u1954,axiom,
( ain(X0,apow(asing(asing(a1))))
| ~ ain(X0,apow(a2))
| ~ ain(X0,apow(asing(a2))) ) ).
cnf(u1964,axiom,
( ain(X0,apow(asing(a2)))
| ain(X0,apow(a2))
| ain(X0,asing(a3))
| ~ ain(X0,a4) ) ).
cnf(u1968,axiom,
( ~ ain(X0,apow(asing(a1)))
| ain(X0,asing(a3))
| ain(X0,asing(a0))
| ~ ain(X0,a4) ) ).
cnf(u1987,axiom,
( ~ ain(X0,apow(asing(a1)))
| ain(X0,asing(a3))
| ain(X0,apow(asing(a2)))
| ~ ain(X0,a4) ) ).
cnf(u1995,axiom,
~ ain(a0,asing(aun(asing(a1),asing(asing(a1))))) ).
cnf(u2000,axiom,
~ ain(a0,apow(aun(asing(a1),asing(asing(a1))))) ).
cnf(u2004,axiom,
~ asubq(a0,asing(asing(a1))) ).
cnf(u2015,axiom,
( ain(X0,asing(asing(a2)))
| ~ ain(X0,asing(a0))
| ~ ain(X0,a4)
| ain(X0,a3)
| ain(X0,asing(apow(a2))) ) ).
cnf(u2024,axiom,
( ain(X0,aun(asing(a1),asing(asing(a1))))
| ~ ain(X0,apow(a2))
| ain(X0,asing(a2))
| ain(X0,apow(asing(asing(a1)))) ) ).
cnf(u2031,axiom,
( ~ ain(X0,apow(aun(asing(a1),asing(asing(a1)))))
| ain(X0,asing(aun(asing(a1),asing(asing(a1)))))
| ain(X0,asing(a0))
| ain(X0,asing(asing(a1)))
| ain(X0,asing(asing(asing(a1)))) ) ).
cnf(u2041,axiom,
asubq(a1,asm(apow(a2),apow(asing(a2)))) ).
cnf(u2049,axiom,
~ asubq(a1,apow(asing(asing(a1)))) ).
cnf(u2062,axiom,
~ asubq(a0,aun(asing(a1),asing(asing(a1)))) ).
cnf(u2066,axiom,
( ~ ain(X0,apow(a2))
| ain(X0,a4)
| asubq(X0,asing(a1)) ) ).
cnf(u2070,axiom,
~ asubq(asing(asing(a1)),asing(a2)) ).
cnf(u2075,axiom,
~ ain(asing(asing(a1)),a4) ).
cnf(u2080,axiom,
~ ain(asing(asing(a1)),apow(a2)) ).
cnf(u2083,axiom,
~ ain(asing(asing(a1)),a3) ).
cnf(u2093,axiom,
( ~ ain(X0,asing(a0))
| ~ ain(X0,apow(a2))
| asubq(X0,asing(a1)) ) ).
cnf(u2098,axiom,
( ain(X0,apow(asing(a1)))
| ~ ain(X0,apow(a2))
| ~ asubq(X0,asing(a2)) ) ).
cnf(u2110,axiom,
( ~ ain(X0,apow(asing(a2)))
| ~ ain(X0,apow(a2))
| asubq(X0,asing(asing(a1))) ) ).
cnf(u2114,axiom,
~ ain(asing(a2),asing(a3)) ).
cnf(u2124,axiom,
~ ain(asing(a2),asing(apow(a2))) ).
cnf(u2138,axiom,
( ain(X0,asing(a3))
| ain(X0,apow(a2))
| ~ ain(X0,a4)
| asubq(X0,asing(a2)) ) ).
cnf(u2142,axiom,
( ~ asubq(X0,asing(a1))
| ain(X0,asing(a0))
| ~ ain(X0,a4)
| ain(X0,asing(a3)) ) ).
cnf(u2153,axiom,
~ asubq(asing(asing(a1)),a2) ).
cnf(u2158,axiom,
( ain(X0,apow(asing(a2)))
| ain(X0,asing(a3))
| ~ ain(X0,a4)
| ~ asubq(X0,asing(a1)) ) ).
cnf(u2174,axiom,
( ain(aun(X0,X1),asing(a0))
| ~ ain(aun(X0,X1),a4)
| ~ asubq(X1,asing(a2))
| ~ asubq(X0,asing(a2)) ) ).
cnf(u2181,axiom,
~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a0)) ).
cnf(u2186,axiom,
~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a4) ).
cnf(u2190,axiom,
( ain(X0,apow(asing(asing(a1))))
| ain(X0,asing(a2))
| ~ ain(X0,apow(a2))
| ain(X0,asing(a1))
| ain(X0,asing(asing(a1))) ) ).
cnf(u2197,axiom,
( ain(X0,asing(asing(a2)))
| ain(X0,asing(a3))
| ~ ain(X0,a4)
| ain(X0,apow(a2))
| ain(X0,a3)
| ain(X0,asing(apow(a2))) ) ).
cnf(u2205,axiom,
( ain(X0,asing(aun(asing(a1),asing(asing(a1)))))
| ain(X0,asing(a0))
| ain(X0,asing(asing(a1)))
| ain(X0,asing(asing(asing(a1))))
| ~ asubq(X0,aun(asing(a1),asing(asing(a1)))) ) ).
cnf(u2213,axiom,
( asubq(X0,asing(a1))
| ain(X0,a4)
| ~ ain(X0,a3) ) ).
cnf(u2217,axiom,
( asubq(X0,asing(a1))
| ain(X0,a4)
| ~ asubq(X0,a2) ) ).
cnf(u2231,axiom,
( ~ asubq(X0,asing(a2))
| ~ ain(X0,apow(a2))
| asubq(X0,asing(a1)) ) ).
cnf(u2238,axiom,
( asubq(X0,asing(asing(a1)))
| ~ ain(X0,apow(a2))
| ~ asubq(X0,asing(a2)) ) ).
cnf(u2244,axiom,
( ~ asubq(X0,asing(a1))
| ~ ain(X0,a4)
| ain(X0,asing(a3))
| asubq(X0,asing(a2)) ) ).
cnf(u2251,axiom,
( asubq(X0,asing(asing(a1)))
| ~ ain(X0,apow(a2))
| ~ ain(X0,a4)
| ~ ain(X0,asing(a0)) ) ).
cnf(u2257,axiom,
( asubq(X0,asing(asing(a1)))
| ~ ain(X0,a4)
| ~ asubq(X0,asing(a1))
| ~ ain(X0,apow(a2))
| ain(X0,asing(a3)) ) ).
cnf(u2263,axiom,
( ain(X0,asing(asing(a1)))
| ~ ain(X0,apow(a2))
| ain(X0,asing(a1))
| ain(X0,asing(a2))
| asubq(X0,asing(asing(a1))) ) ).
cnf(u2273,axiom,
( ain(X0,asing(asing(a2)))
| ~ ain(X0,a4)
| ~ asubq(X0,asing(a1))
| ain(X0,asing(a3))
| ain(X0,a3)
| ain(X0,asing(apow(a2))) ) ).
cnf(u2277,axiom,
( ~ ain(aun(X0,X1),apow(a2))
| asubq(aun(X0,X1),asing(a1))
| ~ asubq(X1,asing(a2))
| ~ asubq(X0,asing(a2)) ) ).
cnf(u2285,axiom,
( ain(aun(X0,X1),asing(a3))
| ~ ain(aun(X0,X1),a4)
| ain(aun(X0,X1),asing(a0))
| ~ asubq(X1,asing(a1))
| ~ asubq(X0,asing(a1)) ) ).
cnf(u2290,axiom,
( asubq(X0,asing(asing(a1)))
| ain(X0,asing(a1))
| ain(X0,asing(a2))
| ~ ain(X0,apow(a2))
| ~ ain(X0,a3) ) ).
cnf(u2298,axiom,
~ asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a1)) ).
cnf(u2303,axiom,
~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),apow(a2)) ).
cnf(u2311,axiom,
( ain(aun(X0,X1),asing(a3))
| ~ ain(aun(X0,X1),a4)
| asubq(aun(X0,X1),asing(a2))
| ~ asubq(X1,asing(a1))
| ~ asubq(X0,asing(a1)) ) ).
cnf(u2316,axiom,
~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3) ).
cnf(u2322,axiom,
~ asubq(asm(asm(apow(a2),a2),asing(asing(a1))),a2) ).
cnf(u2326,axiom,
( asubq(aun(X0,X1),asing(a1))
| ~ asubq(X1,asing(a2))
| ~ asubq(X0,asing(a2))
| ~ ain(aun(X0,X1),a3) ) ).
cnf(u2330,axiom,
( asubq(aun(X0,X1),asing(a1))
| ~ asubq(X1,asing(a2))
| ~ asubq(X0,asing(a2))
| ~ asubq(aun(X0,X1),a2) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO844+1 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 08:38:37 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (14352)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (14355)WARNING: value z3 for option sas not known
% 0.15/0.39 % (14354)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (14353)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (14358)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39 % (14356)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (14355)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (14357)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 % (14359)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [4]
% 0.22/0.44 % (14357)First to succeed.
% 0.22/0.44 % (14355)Also succeeded, but the first one will report.
% 0.22/0.44 % (14357)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14352"
% 0.22/0.45 % SZS status CounterSatisfiable for theBenchmark
% 0.22/0.45 % (14357)# SZS output start Saturation.
% See solution above
% 0.22/0.45 % (14357)------------------------------
% 0.22/0.45 % (14357)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.45 % (14357)Termination reason: Satisfiable
% 0.22/0.45
% 0.22/0.45 % (14357)Memory used [KB]: 1761
% 0.22/0.45 % (14357)Time elapsed: 0.058 s
% 0.22/0.45 % (14357)Instructions burned: 80 (million)
% 0.22/0.45 % (14352)Success in time 0.066 s
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