%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO846+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 02:29:03 PM UTC 2026
% Result : CounterSatisfiable 7.87s 2.04s
% Output : Saturation 10.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u208,axiom,
~ asubq(apow(a1),aun(asing(a1),asing(asing(a1)))) ).
cnf(u219,axiom,
~ asubq(aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2)))),aun(asing(a1),asing(asing(a1)))) ).
cnf(u231,axiom,
~ asubq(a3,aun(asing(a1),asing(asing(a1)))) ).
cnf(u242,axiom,
~ asubq(aun(asm(apow(a2),apow(asing(a2))),asing(asing(asing(a1)))),aun(asing(a1),asing(asing(a1)))) ).
cnf(u254,axiom,
~ asubq(aun(asing(asing(a1)),aun(a4,asing(apow(a2)))),aun(asing(a1),asing(asing(a1)))) ).
cnf(u271,axiom,
~ asubq(asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))),aun(asing(a1),asing(asing(a1)))) ).
cnf(u301,axiom,
~ aal6(a3) ).
cnf(u321,axiom,
~ aal6(asm(a4,asing(a1))) ).
cnf(u338,axiom,
~ aal6(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ).
cnf(u358,axiom,
~ aal6(asm(a4,apow(asing(a2)))) ).
cnf(u181,axiom,
~ aal2(asing(a3)) ).
cnf(u130,axiom,
~ ain(a0,a0) ).
cnf(u287,axiom,
( ~ asubq(X0,asm(a4,apow(asing(a2))))
| asubq(asm(a4,apow(asing(a2))),X0)
| a2 = sK1(asm(a4,apow(asing(a2))),X0)
| a3 = sK1(asm(a4,apow(asing(a2))),X0)
| a1 = sK1(asm(a4,apow(asing(a2))),X0) ) ).
cnf(u148,axiom,
ain(a0,apow(aun(asing(a1),asing(asing(a1))))) ).
cnf(u114,axiom,
( asubq(sK0(X0),X0)
| ~ aal6(X0) ) ).
cnf(u262,axiom,
asubq(X0,X0) ).
cnf(u279,axiom,
( ~ ain(X0,asing(a3))
| ~ ain(X0,asm(a3,asing(a1))) ) ).
cnf(u281,axiom,
~ aal4(aun(a2,asing(apow(a2)))) ).
cnf(u291,axiom,
( ~ ain(sK1(aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))),X0),aun(apow(a2),asing(asing(a2))))
| ~ asubq(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
| ~ ain(sK1(aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))),X0),asing(apow(a2)))
| asubq(aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))),X0) ) ).
cnf(u171,axiom,
asubq(a1,asm(a2,asing(a1))) ).
cnf(u264,axiom,
asubq(a0,apow(asing(a1))) ).
cnf(u189,axiom,
aal4(aun(asm(apow(a2),asing(a2)),asing(asm(apow(a2),apow(asing(a2)))))) ).
cnf(u138,axiom,
asubq(aun(asing(a1),asing(asing(a1))),asm(apow(a2),asing(a2))) ).
cnf(u112,axiom,
( ~ aal6(X0)
| aal5(sK0(X0)) ) ).
cnf(u156,axiom,
~ ain(asing(a1),aun(asing(asing(a2)),a4)) ).
cnf(u166,axiom,
( ~ ain(X0,asm(a4,apow(asing(a2))))
| a2 = X0
| a3 = X0
| a1 = X0 ) ).
cnf(u194,axiom,
aex3(aun(a2,asing(apow(a2)))) ).
cnf(u168,axiom,
~ asubq(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))) ).
cnf(u129,axiom,
( ~ aal4(asm(aun(X0,X1),asing(X2)))
| aal3(X1)
| aal3(X0)
| ~ ain(X2,aun(X0,X1)) ) ).
cnf(u178,axiom,
a3 = aint(aun(apow(a2),asing(asing(a2))),aun(a4,asing(asm(apow(a2),a2)))) ).
cnf(u289,axiom,
( ~ asubq(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| asubq(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0)
| a1 = sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0)
| asing(a1) = sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0)
| asing(asing(a1)) = sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0)
| a0 = sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0) ) ).
cnf(u113,axiom,
( ~ asubq(X0,sK0(X0))
| ~ aal6(X0) ) ).
cnf(u317,axiom,
( asubq(asm(a4,asing(a1)),sK1(apow(asm(a4,asing(a1))),X0))
| a2 = sK1(asm(a4,asing(a1)),sK1(apow(asm(a4,asing(a1))),X0))
| a3 = sK1(asm(a4,asing(a1)),sK1(apow(asm(a4,asing(a1))),X0))
| a0 = sK1(asm(a4,asing(a1)),sK1(apow(asm(a4,asing(a1))),X0))
| ~ asubq(X0,apow(asm(a4,asing(a1))))
| asubq(apow(asm(a4,asing(a1))),X0) ) ).
cnf(u282,axiom,
( ~ asubq(aun(apow(a2),asing(asing(a2))),X0)
| asubq(X0,aun(apow(a2),asing(asing(a2))))
| aal6(X0) ) ).
cnf(u174,axiom,
asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))) ).
cnf(u202,axiom,
ain(a1,a3) ).
cnf(u135,axiom,
~ ain(asm(a3,asing(a1)),a2) ).
cnf(u176,axiom,
asubq(aun(asing(a1),asing(a3)),asm(asm(a4,asing(a2)),asing(a0))) ).
cnf(u137,axiom,
asing(asing(a1)) != apow(asing(a1)) ).
cnf(u186,axiom,
aal3(asm(a4,asing(a2))) ).
cnf(u119,axiom,
( ~ ain(X0,a3)
| a1 = X0
| a2 = X0
| a0 = X0 ) ).
cnf(u147,axiom,
ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))) ).
cnf(u286,axiom,
( ~ ain(sK1(asm(X0,X1),X2),X1)
| ~ asubq(X2,asm(X0,X1))
| asubq(asm(X0,X1),X2) ) ).
cnf(u165,axiom,
( ~ ain(X0,asm(a4,asing(a1)))
| a2 = X0
| a3 = X0
| a0 = X0 ) ).
cnf(u175,axiom,
aun(asing(a1),asing(asing(a1))) = asm(asm(apow(a2),apow(asing(a2))),asing(a2)) ).
cnf(u203,axiom,
ain(a2,a3) ).
cnf(u132,axiom,
~ asubq(a2,a0) ).
cnf(u177,axiom,
asm(a3,asing(a1)) = asm(asm(a4,asing(a1)),asing(a3)) ).
cnf(u263,axiom,
asubq(a0,aun(asing(a1),asing(asing(a1)))) ).
cnf(u265,axiom,
asubq(a0,asing(asing(a1))) ).
cnf(u116,axiom,
( ~ aex3(X0)
| ~ aal4(X0) ) ).
cnf(u155,axiom,
ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))) ).
cnf(u199,axiom,
asubq(asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a0)),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))) ).
cnf(u173,axiom,
asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)) ).
cnf(u201,axiom,
ain(a0,a3) ).
cnf(u183,axiom,
( ~ aal3(asm(aun(apow(asing(a2)),asing(apow(a2))),asing(X0)))
| ~ ain(X0,aun(apow(asing(a2)),asing(apow(a2)))) ) ).
cnf(u140,axiom,
a2 != asing(a2) ).
cnf(u185,axiom,
aal3(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ).
cnf(u150,axiom,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),asing(asing(asing(a1))))) ).
cnf(u124,axiom,
( ~ ain(X2,asm(X0,X1))
| ~ ain(X2,X1) ) ).
cnf(u152,axiom,
~ ain(a1,asing(a3)) ).
cnf(u196,axiom,
~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(asm(a3,asing(a1))))) ).
cnf(u162,axiom,
ain(a1,aun(asing(asing(a1)),aun(a4,asing(apow(a2))))) ).
cnf(u180,axiom,
aun(asing(a2),apow(asing(a2))) = aint(aun(aun(asing(a2),apow(asing(a2))),asing(asm(a3,asing(a1)))),aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))) ).
cnf(u266,axiom,
( ~ ain(X0,aun(asing(a1),asing(asing(a1))))
| ~ ain(X0,asing(a2)) ) ).
cnf(u284,axiom,
( ~ asubq(X0,a3)
| asubq(a3,X0)
| a1 = sK1(a3,X0)
| a2 = sK1(a3,X0)
| a0 = sK1(a3,X0) ) ).
cnf(u294,axiom,
~ ain(a2,asing(a1)) ).
cnf(u160,axiom,
ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))) ).
cnf(u170,axiom,
~ asubq(aun(asing(asing(a1)),aun(asing(asing(a2)),a4)),aun(asing(asing(a2)),a4)) ).
cnf(u354,axiom,
( asubq(asm(a4,apow(asing(a2))),sK1(apow(asm(a4,apow(asing(a2)))),X0))
| a2 = sK1(asm(a4,apow(asing(a2))),sK1(apow(asm(a4,apow(asing(a2)))),X0))
| a3 = sK1(asm(a4,apow(asing(a2))),sK1(apow(asm(a4,apow(asing(a2)))),X0))
| a1 = sK1(asm(a4,apow(asing(a2))),sK1(apow(asm(a4,apow(asing(a2)))),X0))
| ~ asubq(X0,apow(asm(a4,apow(asing(a2)))))
| asubq(apow(asm(a4,apow(asing(a2)))),X0) ) ).
cnf(u131,axiom,
~ ain(a2,a2) ).
cnf(u188,axiom,
aal4(apow(a2)) ).
cnf(u149,axiom,
ain(asing(asing(a1)),aun(asm(apow(a2),a2),apow(asing(asing(a1))))) ).
cnf(u115,axiom,
( ~ aal5(X1)
| ~ asubq(X1,X0)
| asubq(X0,X1)
| aal6(X0) ) ).
cnf(u159,axiom,
~ ain(asm(a3,asing(a1)),aun(apow(asing(a2)),asing(apow(a2)))) ).
cnf(u161,axiom,
ain(a2,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))) ).
cnf(u314,axiom,
( ~ ain(sK1(asm(a3,asing(a1)),X0),asing(a3))
| ~ asubq(X0,asm(a3,asing(a1)))
| asubq(asm(a3,asing(a1)),X0) ) ).
cnf(u139,axiom,
~ ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a2))) ).
cnf(u157,axiom,
ain(a2,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))) ).
cnf(u290,axiom,
( ~ ain(sK1(aun(asing(a1),asing(asing(a1))),X0),asing(a2))
| ~ asubq(X0,aun(asing(a1),asing(asing(a1))))
| asubq(aun(asing(a1),asing(asing(a1))),X0) ) ).
cnf(u123,axiom,
( ~ ain(X1,apow(X0))
| asubq(X1,X0) ) ).
cnf(u167,axiom,
~ asubq(aun(asing(apow(asing(a1))),a4),a4) ).
cnf(u195,axiom,
( ~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(X0)))
| ~ ain(X0,apow(asm(a3,asing(a1))))
| ~ ain(X0,a3) ) ).
cnf(u169,axiom,
asubq(apow(a2),aun(asing(asing(a1)),aun(a4,asing(apow(a2))))) ).
cnf(u134,axiom,
~ ain(asing(asing(a1)),a2) ).
cnf(u179,axiom,
( ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
| ~ ain(X0,asing(apow(a2)))
| ~ ain(X0,aun(apow(a2),asing(asing(a2)))) ) ).
cnf(u136,axiom,
a2 != apow(asing(a1)) ).
cnf(u146,axiom,
~ ain(asing(asing(a1)),asing(apow(asing(a1)))) ).
cnf(u164,axiom,
( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| a1 = X0
| asing(a1) = X0
| asing(asing(a1)) = X0
| a0 = X0 ) ).
cnf(u285,axiom,
( asubq(sK1(apow(X0),X1),X0)
| ~ asubq(X1,apow(X0))
| asubq(apow(X0),X1) ) ).
cnf(u312,axiom,
( asubq(a3,sK1(apow(a3),X0))
| asubq(apow(a3),X0)
| ~ asubq(X0,apow(a3))
| a1 = sK1(a3,sK1(apow(a3),X0))
| a2 = sK1(a3,sK1(apow(a3),X0))
| a0 = sK1(a3,sK1(apow(a3),X0)) ) ).
cnf(u295,axiom,
( ~ ain(sK1(asing(a3),X0),asm(a3,asing(a1)))
| asubq(asing(a3),X0)
| ~ asubq(X0,asing(a3)) ) ).
cnf(u268,axiom,
~ ain(a1,asm(apow(a2),asing(a1))) ).
cnf(u142,axiom,
apow(a2) != asm(apow(a2),apow(asing(a2))) ).
cnf(u187,axiom,
aal3(aun(a2,asing(apow(a2)))) ).
cnf(u144,axiom,
ain(a0,apow(asing(asing(a1)))) ).
cnf(u126,axiom,
( asubq(X1,asm(X0,asing(sK1(X0,X1))))
| asubq(X0,X1)
| ~ asubq(X1,X0) ) ).
cnf(u154,axiom,
~ ain(a1,aun(asing(asing(a1)),asing(a3))) ).
cnf(u334,axiom,
( asubq(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0))
| a1 = sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0))
| asing(a1) = sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0))
| asing(asing(a1)) = sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0))
| a0 = sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0))
| ~ asubq(X0,apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))))
| asubq(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0) ) ).
cnf(u172,axiom,
asubq(a2,asm(a3,asing(a2))) ).
cnf(u133,axiom,
a0 != asing(a1) ).
cnf(u182,axiom,
( ~ aal2(asm(a2,asing(X0)))
| ~ ain(X0,a2) ) ).
cnf(u143,axiom,
ain(asing(asing(a1)),asing(asing(asing(a1)))) ).
cnf(u184,axiom,
aal2(asm(a4,a2)) ).
cnf(u117,axiom,
( ~ aex3(X0)
| aal3(X0) ) ).
cnf(u145,axiom,
ain(a0,apow(apow(asing(a1)))) ).
cnf(u127,axiom,
( ain(sK1(X0,X1),X0)
| asubq(X0,X1)
| ~ asubq(X1,X0) ) ).
cnf(u158,axiom,
~ ain(asm(apow(a2),a2),aun(asing(asing(a1)),aun(asing(asing(a2)),a4))) ).
cnf(u288,axiom,
( ~ asubq(X0,asm(a4,asing(a1)))
| asubq(asm(a4,asing(a1)),X0)
| a2 = sK1(asm(a4,asing(a1)),X0)
| a3 = sK1(asm(a4,asing(a1)),X0)
| a0 = sK1(asm(a4,asing(a1)),X0) ) ).
cnf(u141,axiom,
~ ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a1))) ).
cnf(u190,axiom,
aal5(aun(apow(a2),asing(asing(a2)))) ).
cnf(u292,axiom,
( asubq(asm(X0,asing(sK1(X0,aun(apow(a2),asing(asing(a2)))))),aun(apow(a2),asing(asing(a2))))
| ~ asubq(aun(apow(a2),asing(asing(a2))),X0)
| asubq(X0,aun(apow(a2),asing(asing(a2))))
| aal6(asm(X0,asing(sK1(X0,aun(apow(a2),asing(asing(a2))))))) ) ).
cnf(u151,axiom,
ain(a2,asm(a4,asing(a1))) ).
cnf(u125,axiom,
ain(X0,apow(X0)) ).
cnf(u153,axiom,
~ ain(asm(apow(a2),a2),a4) ).
cnf(u163,axiom,
( ~ ain(a1,X0)
| asing(a1) = X0
| ain(asing(a1),X0)
| ~ asubq(X0,aun(asing(a1),asing(asing(a1)))) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO846+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 18:36:04 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.87/2.04 % (393864)Detected formulas, will run a generic FOF schedule.
% 7.87/2.04 % (393972)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1262520556:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.87/2.04 % (393972)Refutation not found, incomplete strategy
% 7.87/2.04 % (393972)------------------------------
% 7.87/2.04 % (393972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (393972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (393972)CaDiCaL version: 2.1.3
% 7.87/2.04 % (393972)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (393972)Time elapsed: 0.008 s
% 7.87/2.04 % (393972)Peak memory usage: 88 MB
% 7.87/2.04 % (393972)Instructions burned: 25 (million)
% 7.87/2.04 % (393971)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1245868725:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.87/2.04 % (393970)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=2515415644:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.87/2.04 % (393969)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=134933010:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.87/2.04 % (393971)Refutation not found, incomplete strategy
% 7.87/2.04 % (393971)------------------------------
% 7.87/2.04 % (393971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (393971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (393971)CaDiCaL version: 2.1.3
% 7.87/2.04 % (393971)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (393971)Time elapsed: 0.001 s
% 7.87/2.04 % (393971)Peak memory usage: 88 MB
% 7.87/2.04 % (393966)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=3890595453:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.87/2.04 % (393973)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3124959142:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.87/2.04 % (393974)dis-21_1_sil=8000:lcm=predicate:random_seed=2154391431: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)
% 7.87/2.04 % (393974)Refutation not found, incomplete strategy
% 7.87/2.04 % (393974)------------------------------
% 7.87/2.04 % (393974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (393974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (393974)CaDiCaL version: 2.1.3
% 7.87/2.04 % (393974)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (393974)Time elapsed: 0.005 s
% 7.87/2.04 % (393974)Peak memory usage: 88 MB
% 7.87/2.04 % (393974)Instructions burned: 5 (million)
% 7.87/2.04 % (393973)Refutation not found, incomplete strategy
% 7.87/2.04 % (393973)------------------------------
% 7.87/2.04 % (393973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (393973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (393973)CaDiCaL version: 2.1.3
% 7.87/2.04 % (393973)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (393973)Time elapsed: 0.011 s
% 7.87/2.04 % (393973)Peak memory usage: 88 MB
% 7.87/2.04 % (393973)Instructions burned: 15 (million)
% 7.87/2.04 % (393972)------------------------------
% 7.87/2.04 % (393972)------------------------------
% 7.87/2.04 % (393971)------------------------------
% 7.87/2.04 % (393971)------------------------------
% 7.87/2.04 % (394031)lrs+10_1_sil=8000:sp=occurrence:random_seed=2000443038:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 7.87/2.04 % (393974)------------------------------
% 7.87/2.04 % (393974)------------------------------
% 7.87/2.04 % (393973)------------------------------
% 7.87/2.04 % (393973)------------------------------
% 7.87/2.04 % (394031)Refutation not found, incomplete strategy
% 7.87/2.04 % (394031)------------------------------
% 7.87/2.04 % (394031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (394031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (394031)CaDiCaL version: 2.1.3
% 7.87/2.04 % (394031)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (394031)Time elapsed: 0.013 s
% 7.87/2.04 % (394031)Peak memory usage: 88 MB
% 7.87/2.04 % (394031)Instructions burned: 11 (million)
% 7.87/2.04 % (394048)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2716544044:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 7.87/2.04 % (394048)Refutation not found, incomplete strategy
% 7.87/2.04 % (394048)------------------------------
% 7.87/2.04 % (394048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (394048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (394048)CaDiCaL version: 2.1.3
% 7.87/2.04 % (394048)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (394048)Time elapsed: 0.004 s
% 7.87/2.04 % (394048)Peak memory usage: 88 MB
% 7.87/2.04 % (394048)Instructions burned: 2 (million)
% 7.87/2.04 % (394051)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=2649101977:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 7.87/2.04 % (394051)Refutation not found, incomplete strategy
% 7.87/2.04 % (394051)------------------------------
% 7.87/2.04 % (394051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (394051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (394051)CaDiCaL version: 2.1.3
% 7.87/2.04 % (394051)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (394051)Time elapsed: 0.008 s
% 7.87/2.04 % (394051)Peak memory usage: 89 MB
% 7.87/2.04 % (394051)Instructions burned: 12 (million)
% 7.87/2.04 % (393966)Refutation not found, incomplete strategy
% 7.87/2.04 % (393966)------------------------------
% 7.87/2.04 % (393966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (393966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (393966)CaDiCaL version: 2.1.3
% 7.87/2.04 % (393966)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (393966)Time elapsed: 0.681 s
% 7.87/2.04 % (393966)Peak memory usage: 128 MB
% 7.87/2.04 % (393966)Instructions burned: 947 (million)
% 7.87/2.04 % (394050)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3343846015:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 7.87/2.04 % (394050)Refutation not found, incomplete strategy
% 7.87/2.04 % (394050)------------------------------
% 7.87/2.04 % (394050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (394050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (394050)CaDiCaL version: 2.1.3
% 7.87/2.04 % (394050)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (394050)Time elapsed: 0.004 s
% 7.87/2.04 % (394050)Peak memory usage: 88 MB
% 7.87/2.04 % (394050)Instructions burned: 3 (million)
% 7.87/2.04 % (394031)------------------------------
% 7.87/2.04 % (394031)------------------------------
% 7.87/2.04 % (394051)------------------------------
% 7.87/2.04 % (394051)------------------------------
% 7.87/2.04 % (393970)Refutation not found, incomplete strategy
% 7.87/2.04 % (393970)------------------------------
% 7.87/2.04 % (393970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (393970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (393970)CaDiCaL version: 2.1.3
% 7.87/2.04 % (393970)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (393970)Time elapsed: 0.873 s
% 7.87/2.04 % (393970)Peak memory usage: 127 MB
% 7.87/2.04 % (393970)Instructions burned: 839 (million)
% 7.87/2.04 % (394048)------------------------------
% 7.87/2.04 % (394048)------------------------------
% 7.87/2.04 % (393969)First to succeed.
% 7.87/2.04 % (393969)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-393864"
% 7.87/2.04 % (394050)------------------------------
% 7.87/2.04 % (394050)------------------------------
% 7.87/2.04 % (393966)------------------------------
% 7.87/2.04 % (393966)------------------------------
% 7.87/2.04 % (394070)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=411581985:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 7.87/2.04 % (394070)Refutation not found, incomplete strategy
% 7.87/2.04 % (394070)------------------------------
% 7.87/2.04 % (394070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.87/2.04 % (394070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.87/2.04 % (394070)CaDiCaL version: 2.1.3
% 7.87/2.04 % (394070)Termination reason: Refutation not found, incomplete strategy
% 7.87/2.04 % (394070)Time elapsed: 0.003 s
% 7.87/2.04 % (394070)Peak memory usage: 88 MB
% 7.87/2.04 % (394070)Instructions burned: 4 (million)
% 7.87/2.04 % (394072)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3885570696:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 7.87/2.04 % SZS status CounterSatisfiable for theBenchmark
% 7.87/2.04 % SZS output start Saturation.
% See solution above
% 10.18/2.29 % SZS output start Definitions and Model Updates.
% 10.18/2.29 for all groundings,
% 10.18/2.29 whenever aex3(X0) | ~aal3(X0) | aal4(X0) is false, set aex3(X0) to true
% 10.18/2.29 for all groundings,
% 10.18/2.29 whenever aex5(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) is false, set aex5(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) to true
% 10.18/2.29 for all groundings,
% 10.18/2.29 whenever aex2(aint(aun(apow(a2),asing(asing(a2))),asm(a4,asing(a1)))) is false, set aex2(aint(aun(apow(a2),asing(asing(a2))),asm(a4,asing(a1)))) to true
% 10.18/2.29 for all groundings,
% 10.18/2.29 whenever aex5(aun(a4,asing(apow(a2)))) is false, set aex5(aun(a4,asing(apow(a2)))) to true
% 10.18/2.29 for all groundings,
% 10.18/2.29 whenever aex2(asm(a3,asing(a1))) is false, set aex2(asm(a3,asing(a1))) to true
% 10.18/2.29 for all groundings,
% 10.18/2.29 whenever aex2(aun(asing(a1),asing(asing(a1)))) is false, set aex2(aun(asing(a1),asing(asing(a1)))) to true
% 10.18/2.29 for all groundings,
% 10.18/2.29 whenever ~aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))) is false, set ~aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))) to true
% 10.18/2.29 for all groundings,
% 10.18/2.29 whenever ~aal7(aun(X0,asing(X1))) | aal6(X0) is false, set ~aal7(aun(X0,asing(X1))) to true
% 10.18/2.29 % SZS output end Definitions and Model Updates.
% 10.18/2.29 % (393969)------------------------------
% 10.18/2.29 % (393969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.18/2.29 % (393969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.18/2.29 % (393969)CaDiCaL version: 2.1.3
% 10.18/2.29 % (393969)Termination reason: Satisfiable
% 10.18/2.29 % (393969)Time elapsed: 0.953 s
% 10.18/2.29 % (393969)Peak memory usage: 129 MB
% 10.18/2.29 % (393969)Instructions burned: 964 (million)
% 10.18/2.29 % (393969)------------------------------
% 10.18/2.29 % (393969)------------------------------
% 10.18/2.29 % (393864)Success in time 1.377 s
% 10.18/2.29 % Vampire exiting
%------------------------------------------------------------------------------