%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL393+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:52:15 AM UTC 2026
% Result : Theorem 13.90s 2.93s
% Output : Refutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 5
% Syntax : Number of formulae : 67 ( 38 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 39 ~; 36 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 186 ( 186 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,conjecture,
is_a_theorem(implies(implies(not(x),y),implies(implies(x,z),implies(implies(z,y),y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_57) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(x,z),implies(implies(z,y),y)))),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(x,z),implies(implies(z,y),y)))),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(x,z),implies(implies(z,y),y)))),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f10,f11]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[],[f15,f11]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f16,f10]) ).
fof(f19,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[],[f13,f15]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f19,f10]) ).
fof(f23,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f12,f15]) ).
fof(f24,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f12,f10]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(resolution,[],[f18,f16]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(resolution,[],[f18,f11]) ).
fof(f27,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f18,f19]) ).
fof(f30,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
inference(resolution,[],[f23,f15]) ).
fof(f32,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f30,f18]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(not(X0),X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f32,f10]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f25,f10]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f59,f10]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f63,f13]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)))
| ~ is_a_theorem(implies(X0,X3)) ),
inference(resolution,[],[f26,f10]) ).
fof(f98,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(resolution,[],[f27,f22]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X3))
| is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f91,f10]) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X3,X0)) ),
inference(resolution,[],[f115,f11]) ).
fof(f142,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f115,f12]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f131,f10]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X4,X3)))
| ~ is_a_theorem(implies(X4,implies(X2,X0))) ),
inference(resolution,[],[f151,f11]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))
| is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f169,f10]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X3,implies(not(X1),X1))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f385,f30]) ).
fof(f433,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f394,f98]) ).
fof(f450,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f433,f72]) ).
fof(f462,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f450,f394]) ).
fof(f470,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f462,f72]) ).
fof(f480,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f470,f37]) ).
fof(f489,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
inference(resolution,[],[f480,f18]) ).
fof(f509,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f489,f10]) ).
fof(f511,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f509,f24]) ).
fof(f535,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f511,f470]) ).
fof(f540,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f535,f142]) ).
fof(f551,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f540,f385]) ).
fof(f632,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f551,f433]) ).
fof(f669,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f632,f15]) ).
fof(f675,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f669,f18]) ).
fof(f703,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f675,f10]) ).
fof(f728,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f703,f11]) ).
fof(f732,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X3),implies(implies(X3,X1),X2)))),
inference(resolution,[],[f703,f26]) ).
fof(f754,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f703,f433]) ).
fof(f783,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f728,f10]) ).
fof(f889,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f783,f10]) ).
fof(f1463,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X3,X1)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[],[f754,f889]) ).
fof(f2446,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f1463,f540]) ).
fof(f2563,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X1),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f2446,f115]) ).
fof(f2589,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X0,X2),X2))),
inference(resolution,[],[f2563,f669]) ).
fof(f2667,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),X1))) ),
inference(resolution,[],[f2589,f115]) ).
fof(f2976,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
inference(resolution,[],[f2667,f12]) ).
fof(f3090,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
inference(resolution,[],[f2976,f703]) ).
fof(f3098,plain,
$false,
inference(unit_resulting_resolution,[],[f889,f14,f732,f3090]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL393+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:42:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 12.98/2.74 % (3018637)Detected formulas, will run a generic FOF schedule.
% 12.98/2.74 % (3018644)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=212090239:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.98/2.74 % (3018645)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4272977864:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.98/2.74 % (3018646)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2439889484:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.98/2.74 % (3018642)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=3801947601:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.98/2.74 % (3018648)dis-21_1_sil=8000:lcm=predicate:random_seed=2264486689: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)
% 12.98/2.74 % (3018647)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3051832934:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.98/2.74 % (3018643)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=3001099381:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.98/2.74 % (3018645)Refutation not found, incomplete strategy
% 12.98/2.74 % (3018645)------------------------------
% 12.98/2.74 % (3018645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018645)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018645)Termination reason: Refutation not found, incomplete strategy
% 12.98/2.74 % (3018645)Time elapsed: 0.001 s
% 12.98/2.74 % (3018645)Peak memory usage: 87 MB
% 12.98/2.74 % (3018646)Instruction limit reached!
% 12.98/2.74 % (3018646)------------------------------
% 12.98/2.74 % (3018646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018646)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018646)Termination reason: Instruction limit
% 12.98/2.74 % (3018646)Termination phase: Saturation
% 12.98/2.74 % (3018646)Time elapsed: 0.070 s
% 12.98/2.74 % (3018646)Peak memory usage: 87 MB
% 12.98/2.74 % (3018646)Instructions burned: 120 (million)
% 12.98/2.74 % (3018648)Instruction limit reached!
% 12.98/2.74 % (3018648)------------------------------
% 12.98/2.74 % (3018648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018648)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018648)Termination reason: Instruction limit
% 12.98/2.74 % (3018648)Termination phase: Saturation
% 12.98/2.74 % (3018648)Time elapsed: 0.079 s
% 12.98/2.74 % (3018648)Peak memory usage: 88 MB
% 12.98/2.74 % (3018648)Instructions burned: 130 (million)
% 12.98/2.74 % (3018647)Instruction limit reached!
% 12.98/2.74 % (3018647)------------------------------
% 12.98/2.74 % (3018647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018647)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018647)Termination reason: Instruction limit
% 12.98/2.74 % (3018647)Termination phase: Saturation
% 12.98/2.74 % (3018647)Time elapsed: 0.093 s
% 12.98/2.74 % (3018647)Peak memory usage: 89 MB
% 12.98/2.74 % (3018647)Instructions burned: 140 (million)
% 12.98/2.74 % (3018656)lrs+10_1_sil=8000:sp=occurrence:random_seed=1788888279:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.98/2.74 % (3018657)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1247836200:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.98/2.74 % (3018645)------------------------------
% 12.98/2.74 % (3018645)------------------------------
% 12.98/2.74 % (3018658)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1769659847:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.98/2.74 % (3018657)Instruction limit reached!
% 12.98/2.74 % (3018657)------------------------------
% 12.98/2.74 % (3018657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018657)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018657)Termination reason: Instruction limit
% 12.98/2.74 % (3018657)Termination phase: Saturation
% 12.98/2.74 % (3018657)Time elapsed: 0.092 s
% 12.98/2.74 % (3018657)Peak memory usage: 89 MB
% 12.98/2.74 % (3018657)Instructions burned: 158 (million)
% 12.98/2.74 % (3018656)Instruction limit reached!
% 12.98/2.74 % (3018656)------------------------------
% 12.98/2.74 % (3018656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018656)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018656)Termination reason: Instruction limit
% 12.98/2.74 % (3018656)Termination phase: Saturation
% 12.98/2.74 % (3018656)Time elapsed: 0.177 s
% 12.98/2.74 % (3018656)Peak memory usage: 91 MB
% 12.98/2.74 % (3018656)Instructions burned: 285 (million)
% 12.98/2.74 % (3018662)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=1632702092:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.98/2.74 % (3018663)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1072237101:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.98/2.74 % (3018663)Refutation not found, incomplete strategy
% 12.98/2.74 % (3018663)------------------------------
% 12.98/2.74 % (3018663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018663)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018663)Termination reason: Refutation not found, incomplete strategy
% 12.98/2.74 % (3018663)Time elapsed: 0.001 s
% 12.98/2.74 % (3018663)Peak memory usage: 87 MB
% 12.98/2.74 % (3018658)Instruction limit reached!
% 12.98/2.74 % (3018658)------------------------------
% 12.98/2.74 % (3018658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018658)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018658)Termination reason: Instruction limit
% 12.98/2.74 % (3018658)Termination phase: Saturation
% 12.98/2.74 % (3018658)Time elapsed: 0.212 s
% 12.98/2.74 % (3018658)Peak memory usage: 93 MB
% 12.98/2.74 % (3018658)Instructions burned: 326 (million)
% 12.98/2.74 % (3018664)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1770073599:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 12.98/2.74 % (3018662)Instruction limit reached!
% 12.98/2.74 % (3018662)------------------------------
% 12.98/2.74 % (3018662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018662)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018662)Termination reason: Instruction limit
% 12.98/2.74 % (3018662)Termination phase: Saturation
% 12.98/2.74 % (3018662)Time elapsed: 0.141 s
% 12.98/2.74 % (3018662)Peak memory usage: 89 MB
% 12.98/2.74 % (3018662)Instructions burned: 249 (million)
% 12.98/2.74 % (3018667)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=403636973:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.98/2.74 % (3018667)Instruction limit reached!
% 12.98/2.74 % (3018667)------------------------------
% 12.98/2.74 % (3018667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018667)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018667)Termination reason: Instruction limit
% 12.98/2.74 % (3018667)Termination phase: Saturation
% 12.98/2.74 % (3018667)Time elapsed: 0.068 s
% 12.98/2.74 % (3018667)Peak memory usage: 89 MB
% 12.98/2.74 % (3018667)Instructions burned: 113 (million)
% 12.98/2.74 % (3018663)------------------------------
% 12.98/2.74 % (3018663)------------------------------
% 12.98/2.74 % (3018669)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2238535862:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.98/2.74 % (3018669)Instruction limit reached!
% 12.98/2.74 % (3018669)------------------------------
% 12.98/2.74 % (3018669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018669)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018669)Termination reason: Instruction limit
% 12.98/2.74 % (3018669)Termination phase: Saturation
% 12.98/2.74 % (3018669)Time elapsed: 0.073 s
% 12.98/2.74 % (3018669)Peak memory usage: 88 MB
% 12.98/2.74 % (3018669)Instructions burned: 127 (million)
% 12.98/2.74 % (3018671)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2749917680:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 12.98/2.74 % (3018672)lrs+10_1_sil=8000:sp=occurrence:random_seed=3396465030:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 12.98/2.74 % (3018671)Instruction limit reached!
% 12.98/2.74 % (3018671)------------------------------
% 12.98/2.74 % (3018671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018671)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018671)Termination reason: Instruction limit
% 12.98/2.74 % (3018671)Termination phase: Saturation
% 12.98/2.74 % (3018671)Time elapsed: 0.078 s
% 12.98/2.74 % (3018671)Peak memory usage: 89 MB
% 12.98/2.74 % (3018671)Instructions burned: 115 (million)
% 12.98/2.74 % (3018674)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2375410050:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 12.98/2.74 % (3018674)Refutation not found, incomplete strategy
% 12.98/2.74 % (3018674)------------------------------
% 12.98/2.74 % (3018674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018674)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018674)Termination reason: Refutation not found, incomplete strategy
% 12.98/2.74 % (3018674)Time elapsed: 0.001 s
% 12.98/2.74 % (3018674)Peak memory usage: 88 MB
% 12.98/2.74 % (3018677)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3996833523:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 12.98/2.74 % (3018674)------------------------------
% 12.98/2.74 % (3018674)------------------------------
% 12.98/2.74 % (3018680)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1988597534:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 12.98/2.74 % (3018680)Instruction limit reached!
% 12.98/2.74 % (3018680)------------------------------
% 12.98/2.74 % (3018680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018680)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018680)Termination reason: Instruction limit
% 12.98/2.74 % (3018680)Termination phase: Saturation
% 12.98/2.74 % (3018680)Time elapsed: 0.076 s
% 12.98/2.74 % (3018680)Peak memory usage: 89 MB
% 12.98/2.74 % (3018680)Instructions burned: 135 (million)
% 12.98/2.74 % (3018672)Instruction limit reached!
% 12.98/2.74 % (3018672)------------------------------
% 12.98/2.74 % (3018672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018672)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018672)Termination reason: Instruction limit
% 12.98/2.74 % (3018672)Termination phase: Saturation
% 12.98/2.74 % (3018672)Time elapsed: 0.576 s
% 12.98/2.74 % (3018672)Peak memory usage: 95 MB
% 12.98/2.74 % (3018672)Instructions burned: 908 (million)
% 12.98/2.74 % (3018643)First to succeed.
% 12.98/2.74 % (3018643)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3018637"
% 12.98/2.74 % (3018682)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3774501801:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 12.98/2.74 % (3018682)Refutation not found, incomplete strategy
% 12.98/2.74 % (3018682)------------------------------
% 12.98/2.74 % (3018682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.74 % (3018682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.74 % (3018682)CaDiCaL version: 2.1.3
% 12.98/2.74 % (3018682)Termination reason: Refutation not found, incomplete strategy
% 12.98/2.74 % (3018682)Time elapsed: 0.001 s
% 12.98/2.74 % (3018682)Peak memory usage: 88 MB
% 12.98/2.74 % (3018683)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3281858684:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 12.98/2.74 % (3018643)Refutation found. Thanks to Tanya!
% 13.90/2.93 % SZS status Theorem for theBenchmark
% 13.90/2.93 % SZS output start Proof for theBenchmark
% See solution above
% 13.90/2.93 % (3018643)------------------------------
% 13.90/2.93 % (3018643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.90/2.93 % (3018643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/2.93 % (3018643)CaDiCaL version: 2.1.3
% 13.90/2.93 % (3018643)Termination reason: Refutation
% 13.90/2.93 % (3018643)Time elapsed: 1.451 s
% 13.90/2.93 % (3018643)Peak memory usage: 139 MB
% 13.90/2.93 % (3018643)Instructions burned: 2323 (million)
% 13.90/2.93 % (3018643)------------------------------
% 13.90/2.93 % (3018643)------------------------------
% 13.90/2.93 % (3018637)Success in time 1.881 s
% 13.90/2.93 % Vampire exiting
%------------------------------------------------------------------------------