%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT005_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:47:05 AM UTC 2026
% Result : Theorem 3.62s 1.07s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 11 unt; 0 typ; 7 def)
% Number of atoms : 107 ( 42 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 33 ~; 30 |; 24 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 235 ( 40 atm; 0 fun; 164 num; 31 var)
% Number of types : 2 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 12 ( 5 usr; 10 con; 0-3 aty)
% Number of variables : 53 ( 44 !; 9 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
array: $tType ).
tff(func_def_0,type,
read: ( array * $int ) > $int ).
tff(func_def_1,type,
write: ( array * $int * $int ) > array ).
tff(func_def_9,type,
sK0: array ).
tff(func_def_10,type,
sK1: $int ).
tff(func_def_11,type,
sK2: array ).
tff(f1,axiom,
! [X1: $int,X0: array,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f2,axiom,
! [X2: $int,X0: array,X1: $int,X3: $int] :
( ( X1 = X2 )
| ( read(write(X0,X1,X3),X2) = read(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f3,conjecture,
! [X1: array,X2: $int,X0: array] :
( ( ( X0 = write(write(write(write(X1,3,33),4,444),5,55),4,44) )
& $lesseq(X2,4)
& $lesseq(3,X2) )
=> ( $lesseq(read(X0,X2),44)
& $lesseq(33,read(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f4,negated_conjecture,
~ ! [X1: array,X2: $int,X0: array] :
( ( ( X0 = write(write(write(write(X1,3,33),4,444),5,55),4,44) )
& $lesseq(X2,4)
& $lesseq(3,X2) )
=> ( $lesseq(read(X0,X2),44)
& $lesseq(33,read(X0,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
~ ! [X1: array,X2: $int,X0: array] :
( ( ( X0 = write(write(write(write(X1,3,33),4,444),5,55),4,44) )
& ~ $less(4,X2)
& ~ $less(X2,3) )
=> ( ~ $less(44,read(X0,X2))
& ~ $less(read(X0,X2),33) ) ),
inference(theory_normalization,[],[f4]) ).
tff(f6,plain,
! [X1: array,X0: $int,X2: $int] : ( read(write(X1,X0,X2),X0) = X2 ),
inference(rectify,[],[f1]) ).
tff(f7,plain,
! [X0: $int,X2: $int,X3: $int,X1: array] :
( ( read(write(X1,X2,X3),X0) = read(X1,X0) )
| ( X0 = X2 ) ),
inference(rectify,[],[f2]) ).
tff(f8,plain,
~ ! [X1: $int,X2: array,X0: array] :
( ( ~ $less(X1,3)
& ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X2 )
& ~ $less(4,X1) )
=> ( ~ $less(44,read(X2,X1))
& ~ $less(read(X2,X1),33) ) ),
inference(rectify,[],[f5]) ).
tff(f9,plain,
? [X1: $int,X2: array,X0: array] :
( ( $less(read(X2,X1),33)
| $less(44,read(X2,X1)) )
& ~ $less(X1,3)
& ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X2 )
& ~ $less(4,X1) ),
inference(ennf_transformation,[],[f8]) ).
tff(f10,plain,
? [X2: array,X1: $int,X0: array] :
( ~ $less(X1,3)
& ~ $less(4,X1)
& ( write(write(write(write(X0,3,33),4,444),5,55),4,44) = X2 )
& ( $less(read(X2,X1),33)
| $less(44,read(X2,X1)) ) ),
inference(flattening,[],[f9]) ).
tff(f11,plain,
! [X0: $int,X1: $int,X2: $int,X3: array] :
( ( read(X3,X0) = read(write(X3,X1,X2),X0) )
| ( X0 = X1 ) ),
inference(rectify,[],[f7]) ).
tff(f12,plain,
? [X0: array,X1: $int,X2: array] :
( ~ $less(X1,3)
& ~ $less(4,X1)
& ( write(write(write(write(X2,3,33),4,444),5,55),4,44) = X0 )
& ( $less(read(X0,X1),33)
| $less(44,read(X0,X1)) ) ),
inference(rectify,[],[f10]) ).
tff(f13,plain,
( ~ $less(sK1,3)
& ~ $less(4,sK1)
& ( sK0 = write(write(write(write(sK2,3,33),4,444),5,55),4,44) )
& ( $less(read(sK0,sK1),33)
| $less(44,read(sK0,sK1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f12]) ).
tff(f14,plain,
! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(rectify,[],[f6]) ).
tff(f15,plain,
! [X2: $int,X3: array,X0: $int,X1: $int] :
( ( read(X3,X0) = read(write(X3,X1,X2),X0) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f16,plain,
( $less(read(sK0,sK1),33)
| $less(44,read(sK0,sK1)) ),
inference(cnf_transformation,[],[f13]) ).
tff(f17,plain,
sK0 = write(write(write(write(sK2,3,33),4,444),5,55),4,44),
inference(cnf_transformation,[],[f13]) ).
tff(f18,plain,
~ $less(4,sK1),
inference(cnf_transformation,[],[f13]) ).
tff(f19,plain,
~ $less(sK1,3),
inference(cnf_transformation,[],[f13]) ).
tff(f20,plain,
! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
inference(cnf_transformation,[],[f14]) ).
tff(f22,definition,
( spl3_1
<=> $less(sK1,3) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f25,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f19,f22]) ).
tff(f27,definition,
( spl3_2
<=> ( sK0 = write(write(write(write(sK2,3,33),4,444),5,55),4,44) ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f29,plain,
( ( sK0 = write(write(write(write(sK2,3,33),4,444),5,55),4,44) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f27]) ).
tff(f30,plain,
spl3_2,
inference(avatar_split_clause,[],[f17,f27]) ).
tff(f32,definition,
( spl3_3
<=> $less(4,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f35,plain,
~ spl3_3,
inference(avatar_split_clause,[],[f18,f32]) ).
tff(f37,definition,
( spl3_4
<=> $less(read(sK0,sK1),33) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f41,definition,
( spl3_5
<=> $less(44,read(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f44,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f16,f41,f37]) ).
tff(f45,plain,
( ( 44 = read(sK0,4) )
| ~ spl3_2 ),
inference(superposition,[],[f20,f29]) ).
tff(f47,definition,
( spl3_6
<=> ( 44 = read(sK0,4) ) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
tff(f50,plain,
( spl3_6
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f45,f27,f47]) ).
tff(f51,plain,
( ! [X0: $int] :
( ( read(write(write(write(sK2,3,33),4,444),5,55),X0) = read(sK0,X0) )
| ( 4 = X0 ) )
| ~ spl3_2 ),
inference(superposition,[],[f15,f29]) ).
tff(f55,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(write(sK2,3,33),4,444),X0) )
| ( 5 = X0 )
| ( 4 = X0 ) )
| ~ spl3_2 ),
inference(superposition,[],[f15,f51]) ).
tff(f64,plain,
( ! [X0: $int] :
( ( 5 = X0 )
| ( 4 = X0 )
| ( read(sK0,X0) = read(write(sK2,3,33),X0) )
| ( 4 = X0 ) )
| ~ spl3_2 ),
inference(superposition,[],[f15,f55]) ).
tff(f65,plain,
( ! [X0: $int] :
( ( read(sK0,X0) = read(write(sK2,3,33),X0) )
| ( 5 = X0 )
| ( 4 = X0 ) )
| ~ spl3_2 ),
inference(duplicate_literal_removal,[],[f64]) ).
tff(f69,plain,
( ( 3 = 5 )
| ( 33 = read(sK0,3) )
| ( 3 = 4 )
| ~ spl3_2 ),
inference(superposition,[],[f20,f65]) ).
tff(f71,plain,
( ( 33 = read(sK0,3) )
| ~ spl3_2 ),
inference(evaluation,[],[f69]) ).
tff(f74,definition,
( spl3_8
<=> ( 33 = read(sK0,3) ) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
tff(f77,plain,
( spl3_8
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f71,f27,f74]) ).
tff(f78,plain,
$false,
inference(avatar_smt_refutation,[],[f77,f50,f44,f35,f30,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT005_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 00:05:54 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.24/0.88 % (2778114)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.24/0.88 % (2778125)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=873218529:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.24/0.88 % (2778125)Instruction limit reached!
% 2.24/0.88 % (2778125)------------------------------
% 2.24/0.88 % (2778125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/0.88 % (2778125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.88 % (2778125)CaDiCaL version: 2.1.3
% 2.24/0.88 % (2778125)Termination reason: Instruction limit
% 2.24/0.88 % (2778125)Termination phase: Saturation
% 2.24/0.88 % (2778125)Time elapsed: 0.028 s
% 2.24/0.88 % (2778125)Peak memory usage: 116 MB
% 2.24/0.88 % (2778125)Instructions burned: 34 (million)
% 2.24/0.88 % (2778124)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3534682606:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.24/0.88 % (2778122)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3106270906:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.24/0.88 % (2778123)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2707291550:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.24/0.88 % (2778120)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3456353633:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.24/0.88 % (2778121)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2504096858:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.24/0.88 % (2778119)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=463114604:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.24/0.88 % (2778123)Instruction limit reached!
% 2.24/0.88 % (2778123)------------------------------
% 2.24/0.88 % (2778123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/0.88 % (2778123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.88 % (2778123)CaDiCaL version: 2.1.3
% 2.24/0.88 % (2778123)Termination reason: Instruction limit
% 2.24/0.88 % (2778123)Termination phase: Saturation
% 2.24/0.88 % (2778123)Time elapsed: 0.004 s
% 2.24/0.88 % (2778123)Peak memory usage: 88 MB
% 2.24/0.88 % (2778123)Instructions burned: 5 (million)
% 2.24/0.88 % (2778122)Instruction limit reached!
% 2.24/0.88 % (2778122)------------------------------
% 2.24/0.88 % (2778122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/0.88 % (2778122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.88 % (2778122)CaDiCaL version: 2.1.3
% 2.24/0.88 % (2778122)Termination reason: Instruction limit
% 2.24/0.88 % (2778122)Termination phase: Saturation
% 2.24/0.88 % (2778122)Time elapsed: 0.005 s
% 2.24/0.88 % (2778122)Peak memory usage: 88 MB
% 2.24/0.88 % (2778122)Instructions burned: 7 (million)
% 2.24/0.88 % (2778119)Instruction limit reached!
% 2.24/0.88 % (2778119)------------------------------
% 2.24/0.88 % (2778119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/0.88 % (2778119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.88 % (2778119)CaDiCaL version: 2.1.3
% 2.24/0.88 % (2778119)Termination reason: Instruction limit
% 2.24/0.88 % (2778119)Termination phase: Saturation
% 2.24/0.88 % (2778119)Time elapsed: 0.032 s
% 2.24/0.88 % (2778119)Peak memory usage: 115 MB
% 2.24/0.88 % (2778119)Instructions burned: 13 (million)
% 2.24/0.88 % (2778124)First to succeed.
% 2.24/0.88 % (2778124)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2778114"
% 2.24/0.88 % (2778120)Also succeeded, but the first one will report.
% 2.24/0.88 % (2778133)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1416983044:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.24/0.88 % (2778133)Refutation not found, incomplete strategy
% 2.24/0.88 % (2778133)------------------------------
% 2.24/0.88 % (2778133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.24/0.88 % (2778133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.88 % (2778133)CaDiCaL version: 2.1.3
% 2.24/0.88 % (2778133)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.88 % (2778133)Time elapsed: 0.002 s
% 3.62/1.07 % (2778133)Peak memory usage: 89 MB
% 3.62/1.07 % (2778133)Instructions burned: 2 (million)
% 3.62/1.07 % (2778135)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=929769772:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.62/1.07 % (2778134)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=880253474:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.62/1.07 % (2778135)Refutation not found, incomplete strategy
% 3.62/1.07 % (2778135)------------------------------
% 3.62/1.07 % (2778135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.07 % (2778135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.07 % (2778135)CaDiCaL version: 2.1.3
% 3.62/1.07 % (2778135)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.07 % (2778135)Time elapsed: 0.006 s
% 3.62/1.07 % (2778135)Peak memory usage: 90 MB
% 3.62/1.07 % (2778135)Instructions burned: 8 (million)
% 3.62/1.07 % (2778121)Instruction limit reached!
% 3.62/1.07 % (2778121)------------------------------
% 3.62/1.07 % (2778121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.07 % (2778121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.07 % (2778121)CaDiCaL version: 2.1.3
% 3.62/1.07 % (2778121)Termination reason: Instruction limit
% 3.62/1.07 % (2778121)Termination phase: Saturation
% 3.62/1.07 % (2778121)Time elapsed: 0.178 s
% 3.62/1.07 % (2778121)Peak memory usage: 117 MB
% 3.62/1.07 % (2778121)Instructions burned: 201 (million)
% 3.62/1.07 % (2778134)Instruction limit reached!
% 3.62/1.07 % (2778134)------------------------------
% 3.62/1.07 % (2778134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.07 % (2778134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.07 % (2778134)CaDiCaL version: 2.1.3
% 3.62/1.07 % (2778134)Termination reason: Instruction limit
% 3.62/1.07 % (2778134)Termination phase: Saturation
% 3.62/1.07 % (2778134)Time elapsed: 0.021 s
% 3.62/1.07 % (2778134)Peak memory usage: 88 MB
% 3.62/1.07 % (2778134)Instructions burned: 29 (million)
% 3.62/1.07 % (2778136)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=131952965:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.62/1.07 % (2778136)Instruction limit reached!
% 3.62/1.07 % (2778136)------------------------------
% 3.62/1.07 % (2778136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.07 % (2778136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.07 % (2778136)CaDiCaL version: 2.1.3
% 3.62/1.07 % (2778136)Termination reason: Instruction limit
% 3.62/1.07 % (2778136)Termination phase: Saturation
% 3.62/1.07 % (2778136)Time elapsed: 0.019 s
% 3.62/1.07 % (2778136)Peak memory usage: 89 MB
% 3.62/1.07 % (2778136)Instructions burned: 25 (million)
% 3.62/1.07 % (2778133)------------------------------
% 3.62/1.07 % (2778133)------------------------------
% 3.62/1.07 % (2778124)Refutation found. Thanks to Tanya!
% 3.62/1.07 % SZS status Theorem for theBenchmark
% 3.62/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.07 % (2778124)------------------------------
% 3.62/1.07 % (2778124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.07 % (2778124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.07 % (2778124)CaDiCaL version: 2.1.3
% 3.62/1.07 % (2778124)Termination reason: Refutation
% 3.62/1.07 % (2778124)Time elapsed: 0.037 s
% 3.62/1.07 % (2778124)Peak memory usage: 116 MB
% 3.62/1.07 % (2778124)Instructions burned: 16 (million)
% 3.62/1.07 % (2778124)------------------------------
% 3.62/1.07 % (2778124)------------------------------
% 3.62/1.07 % (2778114)Success in time 0.456 s
% 3.62/1.07 % Vampire exiting
%------------------------------------------------------------------------------