%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO850+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 : n015.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 02:29:04 PM UTC 2026
% Result : CounterSatisfiable 11.62s 2.56s
% Output : Saturation 12.78s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u202,axiom,
aal2(apow(a2)) ).
cnf(u205,axiom,
asubq(apow(a2),apow(a2)) ).
cnf(u218,axiom,
aal2(asm(apow(a2),asing(a2))) ).
cnf(u234,axiom,
aal2(asing(a0)) ).
cnf(u252,axiom,
aal2(asing(asing(a1))) ).
cnf(u269,axiom,
aal2(asing(asing(a2))) ).
cnf(u307,axiom,
aal2(apow(asing(a1))) ).
cnf(u336,axiom,
~ ain(aun(asing(a1),asing(a3)),asm(a4,asing(a2))) ).
cnf(u248,axiom,
asm(apow(a2),asing(a1)) = aun(apow(asing(a1)),aint(asm(apow(a2),asing(a1)),asing(a2))) ).
cnf(u181,negated_conjecture,
~ ain(asing(apow(asing(a1))),a1) ).
cnf(u130,axiom,
~ ain(a3,a3) ).
cnf(u191,axiom,
aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = aun(apow(a2),aint(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1))))) ).
cnf(u148,axiom,
~ ain(asing(a1),aun(asing(asing(a2)),a4)) ).
cnf(u114,axiom,
( ~ ain(X0,X1)
| ~ ain(X1,X0) ) ).
cnf(u171,axiom,
aal5(aun(apow(a2),asing(asing(a2)))) ).
cnf(u189,axiom,
~ ain(aun(asing(asing(a1)),aun(a4,asing(apow(a2)))),a0) ).
cnf(u138,axiom,
~ ain(a1,asm(a3,asing(a1))) ).
cnf(u156,axiom,
( ~ ain(X0,asm(a4,asing(a1)))
| a2 = X0
| a3 = X0
| a0 = X0 ) ).
cnf(u182,axiom,
~ ain(asing(a1),a1) ).
cnf(u166,axiom,
( ~ ain(X0,asm(a4,a2))
| a2 = X0
| ain(X0,asing(a3)) ) ).
cnf(u194,axiom,
~ ain(a4,a3) ).
cnf(u168,axiom,
~ aal2(asing(a1)) ).
cnf(u129,axiom,
~ ain(a1,a1) ).
cnf(u289,axiom,
asubq(aun(aint(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))),apow(a2)),aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ).
cnf(u123,axiom,
aun(asm(X0,X1),aint(X0,X1)) = X0 ).
cnf(u317,axiom,
( ~ asubq(X0,a3)
| asubq(a3,X0)
| a1 = sK0(a3,X0)
| a2 = sK0(a3,X0)
| a0 = sK0(a3,X0) ) ).
cnf(u192,axiom,
~ ain(asing(asm(apow(a2),apow(asing(a2)))),asm(apow(a2),apow(asing(a2)))) ).
cnf(u135,axiom,
~ ain(asing(a1),asing(a2)) ).
cnf(u137,axiom,
~ asubq(asing(a1),asing(asing(a1))) ).
cnf(u186,axiom,
~ ain(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),asing(a1)) ).
cnf(u119,axiom,
asubq(a1,asing(a0)) ).
cnf(u147,axiom,
~ ain(a2,aun(apow(asing(a2)),asing(a3))) ).
cnf(u286,axiom,
( ~ ain(a1,aun(aint(a2,X0),asm(a2,X0)))
| ~ ain(a0,aun(aint(a2,X0),asm(a2,X0)))
| a2 = aun(aint(a2,X0),asm(a2,X0)) ) ).
cnf(u165,axiom,
( ain(X0,aun(asing(a1),asing(a3)))
| a0 = X0
| ~ ain(X0,asm(a4,asing(a2))) ) ).
cnf(u132,axiom,
ain(a1,asing(a1)) ).
cnf(u177,axiom,
( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))))
| ain(X0,aun(asing(a1),apow(asing(a2))))
| ain(X0,asing(a3))
| ~ ain(X0,a4) ) ).
cnf(u319,axiom,
( ~ ain(sK0(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),X0),a4)
| ~ asubq(X0,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))))
| ain(sK0(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),X0),aun(asing(a1),apow(asing(a2))))
| ain(sK0(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),X0),asing(a3))
| asubq(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),X0) ) ).
cnf(u155,axiom,
( ~ ain(X0,a4)
| a1 = X0
| a3 = X0
| a2 = X0
| a0 = X0 ) ).
cnf(u199,axiom,
( asubq(X1,aint(X0,X2))
| aal2(aint(X0,X2))
| asubq(X0,X1)
| ~ asubq(X1,X0)
| asubq(X1,asm(X0,X2))
| aal2(asm(X0,X2)) ) ).
cnf(u173,axiom,
asubq(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(a1)),aun(asing(a0),asing(asm(a3,asing(a1))))) ).
cnf(u183,axiom,
asubq(aun(aint(X0,X1),asm(X0,X1)),X0) ).
cnf(u140,axiom,
( ~ asubq(X0,apow(asing(a1)))
| a1 = X0
| asing(asing(a1)) = X0
| apow(asing(a1)) = X0
| ~ ain(a0,X0)
| ain(asing(a1),X0)
| a0 = X0 ) ).
cnf(u185,axiom,
~ ain(aun(a3,asing(asm(apow(a2),a2))),asm(apow(a2),a2)) ).
cnf(u150,axiom,
ain(asm(apow(a2),apow(asing(a2))),asing(asm(apow(a2),apow(asing(a2))))) ).
cnf(u124,axiom,
( ~ asubq(X2,aun(X0,X1))
| aal2(X1)
| asubq(aun(X0,X1),X2)
| asubq(X2,X1)
| asubq(X2,X0)
| aal2(X0) ) ).
cnf(u152,axiom,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))) ).
cnf(u162,axiom,
asubq(asing(a2),asm(asm(apow(a2),apow(asing(a1))),asing(a1))) ).
cnf(u180,negated_conjecture,
ain(a1,asing(apow(asing(a1)))) ).
cnf(u301,axiom,
~ ain(asm(a4,asing(a2)),a0) ).
cnf(u284,axiom,
asubq(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),aun(aint(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))),apow(a2))) ).
cnf(u158,axiom,
asubq(asm(apow(a2),asing(a2)),aun(asm(apow(a2),asing(a2)),asing(asm(apow(a2),apow(asing(a2)))))) ).
cnf(u322,axiom,
( ain(sK0(asm(a4,apow(asing(a2))),X0),asm(apow(a2),apow(asing(a1))))
| ~ asubq(X0,asm(a4,apow(asing(a2))))
| a3 = sK0(asm(a4,apow(asing(a2))),X0)
| asubq(asm(a4,apow(asing(a2))),X0) ) ).
cnf(u160,axiom,
~ asubq(aun(apow(a2),asing(asing(a2))),apow(a2)) ).
cnf(u340,axiom,
( ~ ain(asm(apow(a2),apow(asing(a1))),sK0(asm(a4,apow(asing(a2))),X0))
| a3 = sK0(asm(a4,apow(asing(a2))),X0)
| asubq(asm(a4,apow(asing(a2))),X0)
| ~ asubq(X0,asm(a4,apow(asing(a2)))) ) ).
cnf(u131,axiom,
( ~ asubq(X0,a2)
| ~ ain(a1,X0)
| ~ ain(a0,X0)
| a2 = X0 ) ).
cnf(u188,axiom,
~ ain(aun(asing(asing(asing(a1))),aun(a1,asing(apow(a2)))),a0) ).
cnf(u149,axiom,
ain(asm(apow(a2),a2),aun(a3,asing(asm(apow(a2),a2)))) ).
cnf(u115,axiom,
( ~ ain(X0,a3)
| a1 = X0
| a2 = X0
| a0 = X0 ) ).
cnf(u159,axiom,
asubq(apow(a2),aun(apow(a2),asing(apow(a2)))) ).
cnf(u321,axiom,
( ~ asubq(X0,asm(a4,asing(a1)))
| asubq(asm(a4,asing(a1)),X0)
| a2 = sK0(asm(a4,asing(a1)),X0)
| a3 = sK0(asm(a4,asing(a1)),X0)
| a0 = sK0(asm(a4,asing(a1)),X0) ) ).
cnf(u161,axiom,
asubq(aun(asing(asing(a2)),a4),aun(asing(asing(a1)),aun(asing(asing(a2)),a4))) ).
cnf(u320,axiom,
( ~ asubq(X0,asing(a2))
| asubq(asing(a2),X0)
| a2 = sK0(asing(a2),X0) ) ).
cnf(u139,axiom,
asing(a1) != asm(a3,asing(a1)) ).
cnf(u157,axiom,
asubq(a4,aun(asing(asing(a2)),a4)) ).
cnf(u290,axiom,
asubq(aun(aint(asm(apow(a2),asing(a1)),asing(a2)),apow(asing(a1))),asm(apow(a2),asing(a1))) ).
cnf(u167,axiom,
( ~ ain(X0,asm(a4,apow(asing(a2))))
| a3 = X0
| ain(X0,asm(apow(a2),apow(asing(a1)))) ) ).
cnf(u134,axiom,
a0 != asm(a3,asing(a1)) ).
cnf(u179,axiom,
~ aal5(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(apow(a2)))) ).
cnf(u136,axiom,
a1 != asm(a3,asing(a1)) ).
cnf(u118,axiom,
asubq(aun(X0,X1),aun(X1,X0)) ).
cnf(u146,axiom,
ain(a0,asm(a4,asing(a2))) ).
cnf(u120,axiom,
( asubq(X1,asm(X0,asing(sK0(X0,X1))))
| asubq(X0,X1)
| ~ asubq(X1,X0) ) ).
cnf(u164,axiom,
apow(a2) = asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))) ).
cnf(u285,axiom,
asubq(asm(apow(a2),asing(a1)),aun(aint(asm(apow(a2),asing(a1)),asing(a2)),apow(asing(a1)))) ).
cnf(u323,axiom,
( ain(sK0(asm(a4,a2),X0),asing(a3))
| ~ asubq(X0,asm(a4,a2))
| a2 = sK0(asm(a4,a2),X0)
| asubq(asm(a4,a2),X0) ) ).
cnf(u341,axiom,
( ~ ain(asing(a3),sK0(asm(a4,a2),X0))
| a2 = sK0(asm(a4,a2),X0)
| asubq(asm(a4,a2),X0)
| ~ asubq(X0,asm(a4,a2)) ) ).
cnf(u121,axiom,
( ain(sK0(X0,X1),X0)
| asubq(X0,X1)
| ~ asubq(X1,X0) ) ).
cnf(u142,axiom,
~ ain(asing(a2),asm(apow(a2),a2)) ).
cnf(u187,axiom,
~ ain(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),a1) ).
cnf(u116,axiom,
ain(a3,a4) ).
cnf(u144,axiom,
~ ain(apow(a2),apow(asing(asing(a1)))) ).
cnf(u154,axiom,
ain(asing(a2),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))) ).
cnf(u133,axiom,
a0 != apow(asing(a1)) ).
cnf(u318,axiom,
( ~ asubq(X0,a4)
| asubq(a4,X0)
| a1 = sK0(a4,X0)
| a3 = sK0(a4,X0)
| a2 = sK0(a4,X0)
| a0 = sK0(a4,X0) ) ).
cnf(u143,axiom,
asm(a3,asing(a1)) != apow(a2) ).
cnf(u184,axiom,
asubq(X0,aun(aint(X0,X1),asm(X0,X1))) ).
cnf(u287,axiom,
( ~ ain(a0,aun(aint(apow(asing(a1)),X0),asm(apow(asing(a1)),X0)))
| asing(asing(a1)) = aun(aint(apow(asing(a1)),X0),asm(apow(asing(a1)),X0))
| apow(asing(a1)) = aun(aint(apow(asing(a1)),X0),asm(apow(asing(a1)),X0))
| a1 = aun(aint(apow(asing(a1)),X0),asm(apow(asing(a1)),X0))
| ain(asing(a1),aun(aint(apow(asing(a1)),X0),asm(apow(asing(a1)),X0)))
| a0 = aun(aint(apow(asing(a1)),X0),asm(apow(asing(a1)),X0)) ) ).
cnf(u145,axiom,
ain(asing(a1),aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ).
cnf(u315,axiom,
( ~ ain(aun(asing(a1),asing(a3)),X0)
| ~ ain(X0,asm(a4,asing(a2)))
| a0 = X0 ) ).
cnf(u316,axiom,
( ~ ain(X0,sK0(X0,X1))
| ~ asubq(X1,X0)
| asubq(X0,X1) ) ).
cnf(u141,axiom,
( ~ ain(X0,asing(a2))
| a2 = X0 ) ).
cnf(u190,axiom,
~ ain(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),asing(a2)) ).
cnf(u151,axiom,
ain(a0,aun(asing(asing(asing(a1))),aun(a1,asing(apow(a2))))) ).
cnf(u153,axiom,
ain(a0,aun(asing(asing(a1)),aun(a4,asing(apow(a2))))) ).
cnf(u163,axiom,
apow(asing(a1)) = asm(asm(apow(a2),asing(a1)),asing(a2)) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO850+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n015.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 18:39:02 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.29 Running first-order theorem proving
% 0.23/0.29 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
% 11.62/2.56 % (2871613)Detected formulas, will run a generic FOF schedule.
% 11.62/2.56 % (2871628)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=3942744225:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.62/2.56 % (2871634)dis-21_1_sil=8000:lcm=predicate:random_seed=249791107: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)
% 11.62/2.56 % (2871634)Instruction limit reached!
% 11.62/2.56 % (2871634)------------------------------
% 11.62/2.56 % (2871634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871634)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871634)Termination reason: Instruction limit
% 11.62/2.56 % (2871634)Termination phase: Saturation
% 11.62/2.56 % (2871634)Time elapsed: 0.075 s
% 11.62/2.56 % (2871634)Peak memory usage: 89 MB
% 11.62/2.56 % (2871634)Instructions burned: 130 (million)
% 11.62/2.56 % (2871631)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3084488473:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.62/2.56 % (2871629)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=1955847761:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.62/2.56 % (2871633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3150478426:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.62/2.56 % (2871630)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=1791811038:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.62/2.56 % (2871632)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4221481497:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.62/2.56 % (2871631)Refutation not found, incomplete strategy
% 11.62/2.56 % (2871631)------------------------------
% 11.62/2.56 % (2871631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871631)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871632)Refutation not found, incomplete strategy
% 11.62/2.56 % (2871632)------------------------------
% 11.62/2.56 % (2871632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871631)Termination reason: Refutation not found, incomplete strategy
% 11.62/2.56 % (2871631)Time elapsed: 0.002 s
% 11.62/2.56 % (2871631)Peak memory usage: 88 MB
% 11.62/2.56 % (2871632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871632)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871632)Termination reason: Refutation not found, incomplete strategy
% 11.62/2.56 % (2871632)Time elapsed: 0.002 s
% 11.62/2.56 % (2871632)Peak memory usage: 87 MB
% 11.62/2.56 % (2871633)Instruction limit reached!
% 11.62/2.56 % (2871633)------------------------------
% 11.62/2.56 % (2871633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871633)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871633)Termination reason: Instruction limit
% 11.62/2.56 % (2871633)Termination phase: Saturation
% 11.62/2.56 % (2871633)Time elapsed: 0.103 s
% 11.62/2.56 % (2871633)Peak memory usage: 89 MB
% 11.62/2.56 % (2871633)Instructions burned: 139 (million)
% 11.62/2.56 % (2871637)lrs+10_1_sil=8000:sp=occurrence:random_seed=3827676842:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.62/2.56 % (2871637)Refutation not found, incomplete strategy
% 11.62/2.56 % (2871637)------------------------------
% 11.62/2.56 % (2871637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871637)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871637)Termination reason: Refutation not found, incomplete strategy
% 11.62/2.56 % (2871637)Time elapsed: 0.002 s
% 11.62/2.56 % (2871637)Peak memory usage: 88 MB
% 11.62/2.56 % (2871643)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1880506922:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.62/2.56 % (2871643)Refutation not found, incomplete strategy
% 11.62/2.56 % (2871643)------------------------------
% 11.62/2.56 % (2871643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871643)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871643)Termination reason: Refutation not found, incomplete strategy
% 11.62/2.56 % (2871643)Time elapsed: 0.003 s
% 11.62/2.56 % (2871643)Peak memory usage: 88 MB
% 11.62/2.56 % (2871643)Instructions burned: 1 (million)
% 11.62/2.56 % (2871632)------------------------------
% 11.62/2.56 % (2871632)------------------------------
% 11.62/2.56 % (2871631)------------------------------
% 11.62/2.56 % (2871631)------------------------------
% 11.62/2.56 % (2871646)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4157487192:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 11.62/2.56 % (2871646)Refutation not found, incomplete strategy
% 11.62/2.56 % (2871646)------------------------------
% 11.62/2.56 % (2871646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871646)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871646)Termination reason: Refutation not found, incomplete strategy
% 11.62/2.56 % (2871646)Time elapsed: 0.003 s
% 11.62/2.56 % (2871646)Peak memory usage: 88 MB
% 11.62/2.56 % (2871646)Instructions burned: 4 (million)
% 11.62/2.56 % (2871637)------------------------------
% 11.62/2.56 % (2871637)------------------------------
% 11.62/2.56 % (2871647)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=3458934181:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.62/2.56 % (2871647)Refutation not found, incomplete strategy
% 11.62/2.56 % (2871647)------------------------------
% 11.62/2.56 % (2871647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871647)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871647)Termination reason: Refutation not found, incomplete strategy
% 11.62/2.56 % (2871647)Time elapsed: 0.018 s
% 11.62/2.56 % (2871647)Peak memory usage: 89 MB
% 11.62/2.56 % (2871647)Instructions burned: 15 (million)
% 11.62/2.56 % (2871643)------------------------------
% 11.62/2.56 % (2871643)------------------------------
% 11.62/2.56 % (2871646)------------------------------
% 11.62/2.56 % (2871646)------------------------------
% 11.62/2.56 % (2871649)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2114047953:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 11.62/2.56 % (2871649)Refutation not found, incomplete strategy
% 11.62/2.56 % (2871649)------------------------------
% 11.62/2.56 % (2871649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871649)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871649)Termination reason: Refutation not found, incomplete strategy
% 11.62/2.56 % (2871649)Time elapsed: 0.004 s
% 11.62/2.56 % (2871649)Peak memory usage: 88 MB
% 11.62/2.56 % (2871649)Instructions burned: 2 (million)
% 11.62/2.56 % (2871651)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1159581432:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 11.62/2.56 % (2871629)First to succeed.
% 11.62/2.56 % (2871629)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2871613"
% 11.62/2.56 % (2871647)------------------------------
% 11.62/2.56 % (2871647)------------------------------
% 11.62/2.56 % (2871653)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2284737216:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 11.62/2.56 % (2871649)------------------------------
% 11.62/2.56 % (2871649)------------------------------
% 11.62/2.56 % (2871653)Instruction limit reached!
% 11.62/2.56 % (2871653)------------------------------
% 11.62/2.56 % (2871653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/2.56 % (2871653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/2.56 % (2871653)CaDiCaL version: 2.1.3
% 11.62/2.56 % (2871653)Termination reason: Instruction limit
% 11.62/2.56 % (2871653)Termination phase: Saturation
% 11.62/2.56 % (2871653)Time elapsed: 0.117 s
% 11.62/2.56 % (2871653)Peak memory usage: 89 MB
% 11.62/2.56 % (2871653)Instructions burned: 113 (million)
% 11.62/2.56 % (2871655)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=790389232:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 11.62/2.56 % SZS status CounterSatisfiable for theBenchmark
% 11.62/2.56 % SZS output start Saturation.
% See solution above
% 12.78/2.83 % SZS output start Definitions and Model Updates.
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever ~aal3(asm(asm(apow(a2),asing(a1)),asing(X0))) | ~ain(X0,asm(apow(a2),asing(a1))) is false, set ~aal3(asm(asm(apow(a2),asing(a1)),asing(X0))) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever aal2(asm(X0,asing(X1))) | ~aal3(X0) | ~ain(X1,X0) is false, set ~aal3(X0) to true
% 12.78/2.83 for all groundings, until fixed point,
% 12.78/2.83 whenever aal3(aun(asm(X0,asing(X3)),X1)) | ~aal3(X2) | ain(X3,X2) | ~ain(X3,X0) | ~asubq(X2,aun(X0,X1)) is false, set ~aal3(X2) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever ~aal7(X0) | ~aex6(X0) is false, set ~aex6(X0) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever ~aal4(asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a3))) is false, set ~aal4(asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a3))) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever ~aal4(asm(aun(asing(a1),aun(apow(asing(a2)),asing(apow(a2)))),asing(X0))) | ~ain(X0,aun(asing(a1),aun(apow(asing(a2)),asing(apow(a2))))) is false, set ~aal4(asm(aun(asing(a1),aun(apow(asing(a2)),asing(apow(a2)))),asing(X0))) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever aal3(X0) | aal3(X1) | ~aal4(X2) | ain(X3,X2) | ~ain(X3,X0) | ~asubq(X2,aun(X0,X1)) is false, set ~aal4(X2) to true
% 12.78/2.83 for all groundings, until fixed point,
% 12.78/2.83 whenever aal4(X0) | aal2(X1) | ~aal4(X2) | ain(X3,X2) | ~ain(X3,X0) | ~asubq(X2,aun(X0,X1)) is false, set ~aal4(X2) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever aex6(X0) | ~aal6(X0) | aal7(X0) is false, set aal7(X0) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever aal6(X0) | ~aex6(X0) is false, set aal6(X0) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever aex4(asm(aun(asing(asing(a2)),a4),asing(a1))) is false, set aex4(asm(aun(asing(asing(a2)),a4),asing(a1))) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever aex5(aun(asing(asing(asing(a1))),a4)) is false, set aex5(aun(asing(asing(asing(a1))),a4)) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever aex3(aint(aun(asing(asing(a1)),aun(asing(asing(a2)),a4)),aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))) is false, set aex3(aint(aun(asing(asing(a1)),aun(asing(asing(a2)),a4)),aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever aex3(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)))))) is false, set aex3(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)))))) to true
% 12.78/2.83 for all groundings,
% 12.78/2.83 whenever aal6(aun(X0,X1)) | ~aal4(X1) | ~aal2(X0) | ~adisjoint(X0,X1) is false, set ~adisjoint(X0,X1) to true
% 12.78/2.83 % SZS output end Definitions and Model Updates.
% 12.78/2.83 % (2871629)------------------------------
% 12.78/2.83 % (2871629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.83 % (2871629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.83 % (2871629)CaDiCaL version: 2.1.3
% 12.78/2.83 % (2871629)Termination reason: Satisfiable
% 12.78/2.83 % (2871629)Time elapsed: 1.018 s
% 12.78/2.83 % (2871629)Peak memory usage: 128 MB
% 12.78/2.83 % (2871629)Instructions burned: 952 (million)
% 12.78/2.83 % (2871629)------------------------------
% 12.78/2.83 % (2871629)------------------------------
% 12.78/2.83 % (2871613)Success in time 1.696 s
% 12.78/2.83 % Vampire exiting
%------------------------------------------------------------------------------