%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT086_1 : TPTP v9.3.1. Released v6.1.0.
% 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 09:47:16 AM UTC 2026
% Result : Theorem 4.64s 1.30s
% Output : Refutation 4.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 21 unt; 0 typ; 2 def)
% Number of atoms : 189 ( 61 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 184 ( 60 ~; 82 |; 33 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number arithmetic : 211 ( 64 atm; 21 fun; 73 num; 53 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 99 !; 12 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_13,type,
sK0: ( list * $int ) > list ).
tff(func_def_14,type,
sK1: ( list * $int ) > $int ).
tff(func_def_15,type,
sK2: ( list * $int ) > $int ).
tff(func_def_16,type,
sK3: ( list * $int ) > list ).
tff(func_def_17,type,
sK4: ( list * $int ) > $int ).
tff(func_def_18,type,
sK5: ( list * $int ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(f1,negated_conjecture,
! [X1: list,X0: $int] : ( head(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
tff(f3,negated_conjecture,
! [X0: list] :
( ( X0 = cons(head(X0),tail(X0)) )
| ( X0 = nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3) ).
tff(f4,axiom,
! [X1: list,X0: $int] : ( cons(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4) ).
tff(f6,negated_conjecture,
! [X1: list,X0: $int] :
( ( ? [X3: list,X2: $int] :
( inRange(X0,X3)
& ( X1 = cons(X2,X3) )
& $less(X2,X0)
& $lesseq(0,X2) )
| ( X1 = nil ) )
<=> inRange(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange) ).
tff(f7,negated_conjecture,
length(nil) = 0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l) ).
tff(f8,negated_conjecture,
! [X1: list,X0: $int] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_1) ).
tff(f15,conjecture,
~ ! [X1: $int,X0: list] :
( ( $greatereq(X1,3)
& $greatereq(length(X0),4) )
=> inRange(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_9) ).
tff(f16,negated_conjecture,
~ ~ ! [X1: $int,X0: list] :
( ( $greatereq(X1,3)
& $greatereq(length(X0),4) )
=> inRange(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f18,plain,
! [X1: $int,X0: list] :
( ( ~ $less(X1,3)
& ~ $less(length(X0),4) )
=> inRange(X1,X0) ),
inference(theory_normalization,[],[f16]) ).
tff(f19,plain,
! [X1: list,X0: $int] :
( ( ? [X3: list,X2: $int] :
( inRange(X0,X3)
& ( X1 = cons(X2,X3) )
& $less(X2,X0)
& ~ $less(X2,0) )
| ( X1 = nil ) )
<=> inRange(X0,X1) ),
inference(theory_normalization,[],[f6]) ).
tff(f25,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f33,plain,
! [X1: $int,X0: list] : ( nil != cons(X1,X0) ),
inference(rectify,[],[f4]) ).
tff(f39,plain,
! [X0: $int,X1: list] :
( ( ~ $less(length(X1),4)
& ~ $less(X0,3) )
=> inRange(X0,X1) ),
inference(rectify,[],[f18]) ).
tff(f40,plain,
! [X0: list,X1: $int] :
( inRange(X1,X0)
<=> ( ? [X3: $int,X2: list] :
( inRange(X1,X2)
& ~ $less(X3,0)
& $less(X3,X1)
& ( cons(X3,X2) = X0 ) )
| ( nil = X0 ) ) ),
inference(rectify,[],[f19]) ).
tff(f41,plain,
! [X1: $int,X0: list] : ( length(cons(X1,X0)) = $sum(1,length(X0)) ),
inference(rectify,[],[f8]) ).
tff(f42,plain,
! [X0: $int,X1: list] :
( inRange(X0,X1)
| $less(length(X1),4)
| $less(X0,3) ),
inference(ennf_transformation,[],[f39]) ).
tff(f43,plain,
! [X1: list,X0: $int] :
( inRange(X0,X1)
| $less(length(X1),4)
| $less(X0,3) ),
inference(flattening,[],[f42]) ).
tff(f46,plain,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
inference(rectify,[],[f33]) ).
tff(f53,plain,
! [X0: list,X1: $int] :
( inRange(X1,X0)
| $less(length(X0),4)
| $less(X1,3) ),
inference(rectify,[],[f43]) ).
tff(f56,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(rectify,[],[f41]) ).
tff(f58,plain,
! [X0: list,X1: $int] :
( ( inRange(X1,X0)
| ( ! [X3: $int,X2: list] :
( ~ inRange(X1,X2)
| $less(X3,0)
| ~ $less(X3,X1)
| ( cons(X3,X2) != X0 ) )
& ( nil != X0 ) ) )
& ( ? [X3: $int,X2: list] :
( inRange(X1,X2)
& ~ $less(X3,0)
& $less(X3,X1)
& ( cons(X3,X2) = X0 ) )
| ( nil = X0 )
| ~ inRange(X1,X0) ) ),
inference(nnf_transformation,[],[f40]) ).
tff(f59,plain,
! [X0: list,X1: $int] :
( ( inRange(X1,X0)
| ( ! [X3: $int,X2: list] :
( ~ inRange(X1,X2)
| $less(X3,0)
| ~ $less(X3,X1)
| ( cons(X3,X2) != X0 ) )
& ( nil != X0 ) ) )
& ( ? [X3: $int,X2: list] :
( inRange(X1,X2)
& ~ $less(X3,0)
& $less(X3,X1)
& ( cons(X3,X2) = X0 ) )
| ( nil = X0 )
| ~ inRange(X1,X0) ) ),
inference(flattening,[],[f58]) ).
tff(f60,plain,
! [X0: list,X1: $int] :
( ( inRange(X1,X0)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X1,X3)
| $less(X2,0)
| ~ $less(X2,X1)
| ( cons(X2,X3) != X0 ) )
& ( nil != X0 ) ) )
& ( ? [X4: $int,X5: list] :
( inRange(X1,X5)
& ~ $less(X4,0)
& $less(X4,X1)
& ( cons(X4,X5) = X0 ) )
| ( nil = X0 )
| ~ inRange(X1,X0) ) ),
inference(rectify,[],[f59]) ).
tff(f61,plain,
! [X0: list,X1: $int] :
( ( inRange(X1,X0)
| ( ! [X2: $int,X3: list] :
( ~ inRange(X1,X3)
| $less(X2,0)
| ~ $less(X2,X1)
| ( cons(X2,X3) != X0 ) )
& ( nil != X0 ) ) )
& ( ( inRange(X1,sK5(X0,X1))
& ~ $less(sK4(X0,X1),0)
& $less(sK4(X0,X1),X1)
& ( cons(sK4(X0,X1),sK5(X0,X1)) = X0 ) )
| ( nil = X0 )
| ~ inRange(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X4,sK4(X0,X1)),skolemize(X5,sK5(X0,X1))],[f60]) ).
tff(f62,plain,
! [X0: list,X1: $int] : ( head(cons(X1,X0)) = X1 ),
inference(rectify,[],[f1]) ).
tff(f63,plain,
! [X0: $int,X1: list] : ( cons(X0,X1) != nil ),
inference(cnf_transformation,[],[f46]) ).
tff(f74,plain,
! [X0: list,X1: $int] :
( $less(length(X0),4)
| $less(X1,3)
| inRange(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f78,plain,
0 = length(nil),
inference(cnf_transformation,[],[f7]) ).
tff(f79,plain,
! [X0: list] :
( ( cons(head(X0),tail(X0)) = X0 )
| ( nil = X0 ) ),
inference(cnf_transformation,[],[f3]) ).
tff(f80,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f56]) ).
tff(f82,plain,
! [X0: list,X1: $int] :
( ( cons(sK4(X0,X1),sK5(X0,X1)) = X0 )
| ~ inRange(X1,X0)
| ( nil = X0 ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f83,plain,
! [X0: list,X1: $int] :
( $less(sK4(X0,X1),X1)
| ( nil = X0 )
| ~ inRange(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
tff(f88,plain,
! [X0: list,X1: $int] : ( head(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f62]) ).
tff(f100,plain,
! [X2: $int,X0: list,X1: $int] :
( $less($sum(1,length(X0)),4)
| $less(X2,3)
| inRange(X2,cons(X1,X0)) ),
inference(superposition,[],[f74,f80]) ).
tff(f103,plain,
! [X0: list] :
( ( length(X0) = $sum(1,length(tail(X0))) )
| ( nil = X0 ) ),
inference(superposition,[],[f80,f79]) ).
tff(f146,plain,
! [X2: $int,X0: list,X1: $int] :
( inRange(X1,cons(X2,tail(X0)))
| $less(X1,3)
| $less(length(X0),4)
| ( nil = X0 ) ),
inference(superposition,[],[f100,f103]) ).
tff(f181,plain,
! [X0: list,X1: $int] :
( ( head(X0) = sK4(X0,X1) )
| ~ inRange(X1,X0)
| ( nil = X0 ) ),
inference(superposition,[],[f88,f82]) ).
tff(f196,plain,
! [X0: list,X1: $int] :
( ( nil = X0 )
| ~ inRange(X1,X0)
| $less(head(X0),X1)
| ( nil = X0 )
| ~ inRange(X1,X0) ),
inference(superposition,[],[f83,f181]) ).
tff(f199,plain,
! [X0: list,X1: $int] :
( $less(head(X0),X1)
| ( nil = X0 )
| ~ inRange(X1,X0) ),
inference(duplicate_literal_removal,[],[f196]) ).
tff(f277,plain,
! [X0: list] :
( ~ inRange(head(X0),X0)
| ( nil = X0 ) ),
inference(resolution,[],[f25,f199]) ).
tff(f373,plain,
! [X0: $int,X1: list] :
( ( nil = cons(X0,tail(X1)) )
| $less(head(cons(X0,tail(X1))),3)
| ( nil = X1 )
| $less(length(X1),4) ),
inference(resolution,[],[f146,f277]) ).
tff(f387,definition,
( spl6_2
<=> ! [X0: $int] : $less(X0,3) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
tff(f388,plain,
( ! [X0: $int] : $less(X0,3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f387]) ).
tff(f392,plain,
! [X0: $int,X1: list] :
( ( nil = cons(X0,tail(X1)) )
| $less(length(X1),4)
| $less(X0,3)
| ( nil = X1 ) ),
inference(forward_demodulation,[],[f373,f88]) ).
tff(f394,plain,
( $false
| ~ spl6_2 ),
inference(resolution,[],[f388,f25]) ).
tff(f395,plain,
~ spl6_2,
inference(avatar_contradiction_clause,[],[f394]) ).
tff(f443,definition,
( spl6_3
<=> ! [X1: list] :
( ( nil = X1 )
| $less(length(X1),4) ) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
tff(f444,plain,
( ! [X1: list] :
( $less(length(X1),4)
| ( nil = X1 ) )
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f443]) ).
tff(f783,plain,
! [X0: $int,X1: list] :
( $less(length(X1),4)
| ( nil != nil )
| ( nil = X1 )
| $less(X0,3) ),
inference(superposition,[],[f63,f392]) ).
tff(f785,plain,
! [X0: $int,X1: list] :
( ( nil = X1 )
| $less(X0,3)
| $less(length(X1),4) ),
inference(trivial_inequality_removal,[],[f783]) ).
tff(f787,plain,
( spl6_2
| spl6_3 ),
inference(avatar_split_clause,[],[f785,f443,f387]) ).
tff(f973,plain,
( ! [X0: list,X1: $int] :
( ( nil = cons(X1,X0) )
| $less($sum(1,length(X0)),4) )
| ~ spl6_3 ),
inference(superposition,[],[f444,f80]) ).
tff(f974,plain,
( ! [X0: list] : $less($sum(1,length(X0)),4)
| ~ spl6_3 ),
inference(forward_subsumption_resolution,[],[f973,f63]) ).
tff(f976,plain,
( ! [X0: list] : $less($sum(1,$sum(1,length(X0))),4)
| ~ spl6_3 ),
inference(superposition,[],[f974,f80]) ).
tff(f985,plain,
( ! [X0: list] : $less($sum(1,$sum(1,$sum(1,length(X0)))),4)
| ~ spl6_3 ),
inference(superposition,[],[f976,f80]) ).
tff(f993,plain,
( ! [X0: list] : $less($sum(1,$sum(1,$sum(1,$sum(1,length(X0))))),4)
| ~ spl6_3 ),
inference(superposition,[],[f985,f80]) ).
tff(f997,plain,
( $less($sum(1,$sum(1,$sum(1,$sum(1,0)))),4)
| ~ spl6_3 ),
inference(superposition,[],[f993,f78]) ).
tff(f1002,plain,
( $false
| ~ spl6_3 ),
inference(evaluation,[],[f997]) ).
tff(f1003,plain,
~ spl6_3,
inference(avatar_contradiction_clause,[],[f1002]) ).
cnf(s2,plain,
~ spl6_2,
inference(sat_conversion,[],[f395]) ).
cnf(s16,plain,
( spl6_2
| spl6_3 ),
inference(sat_conversion,[],[f787]) ).
cnf(s49,plain,
~ spl6_3,
inference(sat_conversion,[],[f1003]) ).
cnf(s50,plain,
spl6_2,
inference(rat,[],[s16,s49]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s2,s50]) ).
tff(f1004,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT086_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 00:10:57 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 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
% 3.32/1.19 % (217836)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.32/1.19 % (217919)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1812180283:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.32/1.19 % (217919)Instruction limit reached!
% 3.32/1.19 % (217919)------------------------------
% 3.32/1.19 % (217919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.19 % (217919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.19 % (217919)CaDiCaL version: 2.1.3
% 3.32/1.19 % (217919)Termination reason: Instruction limit
% 3.32/1.19 % (217919)Termination phase: Saturation
% 3.32/1.19 % (217919)Time elapsed: 0.003 s
% 3.32/1.19 % (217919)Peak memory usage: 88 MB
% 3.32/1.19 % (217919)Instructions burned: 8 (million)
% 3.32/1.19 % (217916)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3464048897:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.32/1.19 % (217915)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1798277180:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.32/1.19 % (217921)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1092318346:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.32/1.19 % (217922)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3452906698:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.32/1.19 % (217921)Instruction limit reached!
% 3.32/1.19 % (217921)------------------------------
% 3.32/1.19 % (217921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.19 % (217921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.19 % (217921)CaDiCaL version: 2.1.3
% 3.32/1.19 % (217921)Termination reason: Instruction limit
% 3.32/1.19 % (217921)Termination phase: Saturation
% 3.32/1.19 % (217921)Time elapsed: 0.004 s
% 3.32/1.19 % (217921)Peak memory usage: 88 MB
% 3.32/1.19 % (217921)Instructions burned: 5 (million)
% 3.32/1.19 % (217924)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1420675210:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.32/1.19 % (217918)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1193587997:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.32/1.19 % (217915)Instruction limit reached!
% 3.32/1.19 % (217915)------------------------------
% 3.32/1.19 % (217915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.19 % (217915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.19 % (217915)CaDiCaL version: 2.1.3
% 3.32/1.19 % (217915)Termination reason: Instruction limit
% 3.32/1.19 % (217915)Termination phase: Saturation
% 3.32/1.19 % (217915)Time elapsed: 0.032 s
% 3.32/1.19 % (217915)Peak memory usage: 114 MB
% 3.32/1.19 % (217915)Instructions burned: 13 (million)
% 3.32/1.19 % (217924)Instruction limit reached!
% 3.32/1.19 % (217924)------------------------------
% 3.32/1.19 % (217924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.19 % (217924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.19 % (217924)CaDiCaL version: 2.1.3
% 3.32/1.19 % (217924)Termination reason: Instruction limit
% 3.32/1.19 % (217924)Termination phase: Saturation
% 3.32/1.19 % (217924)Time elapsed: 0.045 s
% 3.32/1.19 % (217924)Peak memory usage: 115 MB
% 3.32/1.19 % (217924)Instructions burned: 33 (million)
% 3.32/1.19 % (217922)Instruction limit reached!
% 3.32/1.19 % (217922)------------------------------
% 3.32/1.19 % (217922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.19 % (217922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.19 % (217922)CaDiCaL version: 2.1.3
% 3.32/1.19 % (217922)Termination reason: Instruction limit
% 3.32/1.19 % (217922)Termination phase: Saturation
% 3.32/1.19 % (217922)Time elapsed: 0.056 s
% 3.32/1.19 % (217922)Peak memory usage: 115 MB
% 3.32/1.19 % (217922)Instructions burned: 46 (million)
% 3.32/1.19 % (217948)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=544553467:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.32/1.19 % (217948)Instruction limit reached!
% 3.32/1.19 % (217948)------------------------------
% 3.32/1.19 % (217948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (217948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (217948)CaDiCaL version: 2.1.3
% 4.64/1.30 % (217948)Termination reason: Instruction limit
% 4.64/1.30 % (217948)Termination phase: Saturation
% 4.64/1.30 % (217948)Time elapsed: 0.006 s
% 4.64/1.30 % (217948)Peak memory usage: 88 MB
% 4.64/1.30 % (217948)Instructions burned: 16 (million)
% 4.64/1.30 % (217967)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1634118036:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.64/1.30 % (217959)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=105236716:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.64/1.30 % (217967)Instruction limit reached!
% 4.64/1.30 % (217967)------------------------------
% 4.64/1.30 % (217967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (217967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (217967)CaDiCaL version: 2.1.3
% 4.64/1.30 % (217967)Termination reason: Instruction limit
% 4.64/1.30 % (217967)Termination phase: Saturation
% 4.64/1.30 % (217967)Time elapsed: 0.012 s
% 4.64/1.30 % (217967)Peak memory usage: 90 MB
% 4.64/1.30 % (217967)Instructions burned: 17 (million)
% 4.64/1.30 % (217918)Instruction limit reached!
% 4.64/1.30 % (217918)------------------------------
% 4.64/1.30 % (217918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (217918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (217918)CaDiCaL version: 2.1.3
% 4.64/1.30 % (217918)Termination reason: Instruction limit
% 4.64/1.30 % (217918)Termination phase: Saturation
% 4.64/1.30 % (217918)Time elapsed: 0.176 s
% 4.64/1.30 % (217918)Peak memory usage: 118 MB
% 4.64/1.30 % (217918)Instructions burned: 201 (million)
% 4.64/1.30 % (217959)Instruction limit reached!
% 4.64/1.30 % (217959)------------------------------
% 4.64/1.30 % (217959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (217959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (217959)CaDiCaL version: 2.1.3
% 4.64/1.30 % (217959)Termination reason: Instruction limit
% 4.64/1.30 % (217959)Termination phase: Saturation
% 4.64/1.30 % (217959)Time elapsed: 0.027 s
% 4.64/1.30 % (217959)Peak memory usage: 89 MB
% 4.64/1.30 % (217959)Instructions burned: 35 (million)
% 4.64/1.30 % (217979)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2703578096:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.64/1.30 % (217974)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4036143660:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.64/1.30 % (217977)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3319782423:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.64/1.30 % (217916)Instruction limit reached!
% 4.64/1.30 % (217916)------------------------------
% 4.64/1.30 % (217916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (217916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (217916)CaDiCaL version: 2.1.3
% 4.64/1.30 % (217916)Termination reason: Instruction limit
% 4.64/1.30 % (217916)Termination phase: Saturation
% 4.64/1.30 % (217916)Time elapsed: 0.220 s
% 4.64/1.30 % (217916)Peak memory usage: 115 MB
% 4.64/1.30 % (217916)Instructions burned: 308 (million)
% 4.64/1.30 % (217977)Instruction limit reached!
% 4.64/1.30 % (217977)------------------------------
% 4.64/1.30 % (217977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (217977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (217977)CaDiCaL version: 2.1.3
% 4.64/1.30 % (217977)Termination reason: Instruction limit
% 4.64/1.30 % (217977)Termination phase: Saturation
% 4.64/1.30 % (217977)Time elapsed: 0.017 s
% 4.64/1.30 % (217977)Peak memory usage: 89 MB
% 4.64/1.30 % (217977)Instructions burned: 27 (million)
% 4.64/1.30 % (217974)Instruction limit reached!
% 4.64/1.30 % (217974)------------------------------
% 4.64/1.30 % (217974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (217974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (217974)CaDiCaL version: 2.1.3
% 4.64/1.30 % (217974)Termination reason: Instruction limit
% 4.64/1.30 % (217974)Termination phase: Saturation
% 4.64/1.30 % (217974)Time elapsed: 0.019 s
% 4.64/1.30 % (217974)Peak memory usage: 89 MB
% 4.64/1.30 % (217974)Instructions burned: 25 (million)
% 4.64/1.30 % (217979)First to succeed.
% 4.64/1.30 % (217979)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-217836"
% 4.64/1.30 % (218016)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=4196414394:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.64/1.30 % (218016)Instruction limit reached!
% 4.64/1.30 % (218016)------------------------------
% 4.64/1.30 % (218016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (218016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (218016)CaDiCaL version: 2.1.3
% 4.64/1.30 % (218016)Termination reason: Instruction limit
% 4.64/1.30 % (218016)Termination phase: Saturation
% 4.64/1.30 % (218016)Time elapsed: 0.002 s
% 4.64/1.30 % (218016)Peak memory usage: 88 MB
% 4.64/1.30 % (218016)Instructions burned: 4 (million)
% 4.64/1.30 % (218011)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1486334419:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.64/1.30 % (218011)Instruction limit reached!
% 4.64/1.30 % (218011)------------------------------
% 4.64/1.30 % (218011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (218011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (218011)CaDiCaL version: 2.1.3
% 4.64/1.30 % (218011)Termination reason: Instruction limit
% 4.64/1.30 % (218011)Termination phase: Saturation
% 4.64/1.30 % (218011)Time elapsed: 0.003 s
% 4.64/1.30 % (218011)Peak memory usage: 88 MB
% 4.64/1.30 % (218011)Instructions burned: 3 (million)
% 4.64/1.30 % (218015)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=4089621052:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.64/1.30 % (218015)Refutation not found, incomplete strategy
% 4.64/1.30 % (218015)------------------------------
% 4.64/1.30 % (218015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (218015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (218015)CaDiCaL version: 2.1.3
% 4.64/1.30 % (218015)Termination reason: Refutation not found, incomplete strategy
% 4.64/1.30 % (218015)Time elapsed: 0.003 s
% 4.64/1.30 % (218015)Peak memory usage: 89 MB
% 4.64/1.30 % (218015)Instructions burned: 2 (million)
% 4.64/1.30 % (218017)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=66194280:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.64/1.30 % (218018)lrs+10_1_thi=all:si=on:fd=off:random_seed=3953103961:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.64/1.30 % (218019)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=130781321:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 4.64/1.30 % (218019)Instruction limit reached!
% 4.64/1.30 % (218019)------------------------------
% 4.64/1.30 % (218019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (218019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (218019)CaDiCaL version: 2.1.3
% 4.64/1.30 % (218019)Termination reason: Instruction limit
% 4.64/1.30 % (218019)Termination phase: Saturation
% 4.64/1.30 % (218019)Time elapsed: 0.006 s
% 4.64/1.30 % (218019)Peak memory usage: 88 MB
% 4.64/1.30 % (218019)Instructions burned: 8 (million)
% 4.64/1.30 % (218021)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=255985018:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 4.64/1.30 % (218021)Instruction limit reached!
% 4.64/1.30 % (218021)------------------------------
% 4.64/1.30 % (218021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (218021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (218021)CaDiCaL version: 2.1.3
% 4.64/1.30 % (218021)Termination reason: Instruction limit
% 4.64/1.30 % (218021)Termination phase: Saturation
% 4.64/1.30 % (218021)Time elapsed: 0.002 s
% 4.64/1.30 % (218021)Peak memory usage: 89 MB
% 4.64/1.30 % (218021)Instructions burned: 4 (million)
% 4.64/1.30 % (218018)Instruction limit reached!
% 4.64/1.30 % (218018)------------------------------
% 4.64/1.30 % (218018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (218018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (218018)CaDiCaL version: 2.1.3
% 4.64/1.30 % (218018)Termination reason: Instruction limit
% 4.64/1.30 % (218018)Termination phase: Saturation
% 4.64/1.30 % (218018)Time elapsed: 0.065 s
% 4.64/1.30 % (218018)Peak memory usage: 116 MB
% 4.64/1.30 % (218018)Instructions burned: 53 (million)
% 4.64/1.30 % (218026)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2044962255:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 4.64/1.30 % (218026)Instruction limit reached!
% 4.64/1.30 % (218026)------------------------------
% 4.64/1.30 % (218026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (218026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (218026)CaDiCaL version: 2.1.3
% 4.64/1.30 % (218026)Termination reason: Instruction limit
% 4.64/1.30 % (218026)Termination phase: Saturation
% 4.64/1.30 % (218026)Time elapsed: 0.002 s
% 4.64/1.30 % (218026)Peak memory usage: 88 MB
% 4.64/1.30 % (218026)Instructions burned: 2 (million)
% 4.64/1.30 % (218017)Instruction limit reached!
% 4.64/1.30 % (218017)------------------------------
% 4.64/1.30 % (218017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (218017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (218017)CaDiCaL version: 2.1.3
% 4.64/1.30 % (218017)Termination reason: Instruction limit
% 4.64/1.30 % (218017)Termination phase: Saturation
% 4.64/1.30 % (218017)Time elapsed: 0.090 s
% 4.64/1.30 % (218017)Peak memory usage: 134 MB
% 4.64/1.30 % (218017)Instructions burned: 66 (million)
% 4.64/1.30 % (218056)dis+10_1_si=on:random_seed=202370440:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 4.64/1.30 % (218056)Instruction limit reached!
% 4.64/1.30 % (218056)------------------------------
% 4.64/1.30 % (218056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.30 % (218056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.30 % (218056)CaDiCaL version: 2.1.3
% 4.64/1.30 % (218056)Termination reason: Instruction limit
% 4.64/1.30 % (218056)Termination phase: Saturation
% 4.64/1.30 % (218056)Time elapsed: 0.004 s
% 4.64/1.30 % (218056)Peak memory usage: 88 MB
% 4.64/1.30 % (218056)Instructions burned: 10 (million)
% 4.64/1.30 % (217979)Refutation found. Thanks to Tanya!
% 4.64/1.30 % SZS status Theorem for theBenchmark
% 4.64/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 4.64/1.40 % (217979)------------------------------
% 4.64/1.40 % (217979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.64/1.40 % (217979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.64/1.40 % (217979)CaDiCaL version: 2.1.3
% 4.64/1.40 % (217979)Termination reason: Refutation
% 4.64/1.40 % (217979)Time elapsed: 0.033 s
% 4.64/1.40 % (217979)Peak memory usage: 90 MB
% 4.64/1.40 % (217979)Instructions burned: 47 (million)
% 4.64/1.40 % (217979)------------------------------
% 4.64/1.40 % (217979)------------------------------
% 4.64/1.40 % (217836)Success in time 0.638 s
% 4.64/1.40 % Vampire exiting
%------------------------------------------------------------------------------