%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI612_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:33:28 AM UTC 2026
% Result : Theorem 3.87s 1.32s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 5 unt; 0 typ; 7 def)
% Number of atoms : 174 ( 11 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 189 ( 55 ~; 64 |; 47 &)
% ( 17 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 194 ( 77 atm; 0 fun; 80 num; 37 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 1 usr; 5 con; 0-0 aty)
% Number of variables : 37 ( 32 !; 5 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $int ).
tff(pred_def_1,type,
p: $int > $o ).
tff(pred_def_2,type,
q: $int > $o ).
tff(f1,conjecture,
( ( ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) )
& ! [X0: $int] :
( ( $less(X0,12)
& $less(8,X0) )
<=> q(X0) ) )
=> ! [X0: $int] :
( q(X0)
=> p(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',interv_8_12_subset_5_15) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) )
& ! [X0: $int] :
( ( $less(X0,12)
& $less(8,X0) )
<=> q(X0) ) )
=> ! [X0: $int] :
( q(X0)
=> p(X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(definition,[],[tha_transitivity]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(definition,[],[tha_order_totality]) ).
tff(f15,plain,
~ ( ( ! [X1: $int] :
( ( $less(X1,12)
& $less(8,X1) )
<=> q(X1) )
& ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) ) )
=> ! [X2: $int] :
( q(X2)
=> p(X2) ) ),
inference(rectify,[],[f2]) ).
tff(f16,plain,
( ? [X2: $int] :
( ~ p(X2)
& q(X2) )
& ! [X1: $int] :
( ( $less(X1,12)
& $less(8,X1) )
<=> q(X1) )
& ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f17,plain,
( ! [X0: $int] :
( ( $less(5,X0)
& $less(X0,15) )
<=> p(X0) )
& ? [X2: $int] :
( ~ p(X2)
& q(X2) )
& ! [X1: $int] :
( ( $less(X1,12)
& $less(8,X1) )
<=> q(X1) ) ),
inference(flattening,[],[f16]) ).
tff(f18,plain,
( ! [X0: $int] :
( ( ( $less(5,X0)
& $less(X0,15) )
| ~ p(X0) )
& ( p(X0)
| ~ $less(5,X0)
| ~ $less(X0,15) ) )
& ? [X2: $int] :
( ~ p(X2)
& q(X2) )
& ! [X1: $int] :
( ( ( $less(X1,12)
& $less(8,X1) )
| ~ q(X1) )
& ( q(X1)
| ~ $less(X1,12)
| ~ $less(8,X1) ) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f19,plain,
( ! [X0: $int] :
( ( ( $less(5,X0)
& $less(X0,15) )
| ~ p(X0) )
& ( p(X0)
| ~ $less(5,X0)
| ~ $less(X0,15) ) )
& ? [X2: $int] :
( ~ p(X2)
& q(X2) )
& ! [X1: $int] :
( ( ( $less(X1,12)
& $less(8,X1) )
| ~ q(X1) )
& ( q(X1)
| ~ $less(X1,12)
| ~ $less(8,X1) ) ) ),
inference(flattening,[],[f18]) ).
tff(f20,plain,
( ! [X0: $int] :
( ( ( $less(5,X0)
& $less(X0,15) )
| ~ p(X0) )
& ( p(X0)
| ~ $less(5,X0)
| ~ $less(X0,15) ) )
& ? [X1: $int] :
( ~ p(X1)
& q(X1) )
& ! [X2: $int] :
( ( ( $less(X2,12)
& $less(8,X2) )
| ~ q(X2) )
& ( q(X2)
| ~ $less(X2,12)
| ~ $less(8,X2) ) ) ),
inference(rectify,[],[f19]) ).
tff(f21,plain,
( ! [X0: $int] :
( ( ( $less(5,X0)
& $less(X0,15) )
| ~ p(X0) )
& ( p(X0)
| ~ $less(5,X0)
| ~ $less(X0,15) ) )
& ~ p(sK0)
& q(sK0)
& ! [X2: $int] :
( ( ( $less(X2,12)
& $less(8,X2) )
| ~ q(X2) )
& ( q(X2)
| ~ $less(X2,12)
| ~ $less(8,X2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f20]) ).
tff(f23,plain,
! [X2: $int] :
( ~ q(X2)
| $less(8,X2) ),
inference(cnf_transformation,[],[f21]) ).
tff(f24,plain,
! [X2: $int] :
( ~ q(X2)
| $less(X2,12) ),
inference(cnf_transformation,[],[f21]) ).
tff(f25,plain,
q(sK0),
inference(cnf_transformation,[],[f21]) ).
tff(f26,plain,
~ p(sK0),
inference(cnf_transformation,[],[f21]) ).
tff(f27,plain,
! [X0: $int] :
( ~ $less(5,X0)
| ~ $less(X0,15)
| p(X0) ),
inference(cnf_transformation,[],[f21]) ).
tff(f31,definition,
( spl1_1
<=> p(sK0) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f33,plain,
( ~ p(sK0)
| spl1_1 ),
inference(avatar_component_clause,[],[f31]) ).
tff(f34,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f26,f31]) ).
tff(f36,definition,
( spl1_2
<=> q(sK0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f38,plain,
( q(sK0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f36]) ).
tff(f39,plain,
spl1_2,
inference(avatar_split_clause,[],[f25,f36]) ).
tff(f40,plain,
( $less(8,sK0)
| ~ spl1_2 ),
inference(resolution,[],[f23,f38]) ).
tff(f42,definition,
( spl1_3
<=> $less(8,sK0) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f45,plain,
( spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f40,f36,f42]) ).
tff(f46,plain,
( $less(sK0,12)
| ~ spl1_2 ),
inference(resolution,[],[f24,f38]) ).
tff(f48,definition,
( spl1_4
<=> $less(sK0,12) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f50,plain,
( $less(sK0,12)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f51,plain,
( spl1_4
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f46,f36,f48]) ).
tff(f72,plain,
( ! [X0: $int] :
( ~ $less(X0,sK0)
| $less(X0,12) )
| ~ spl1_4 ),
inference(resolution,[],[f9,f50]) ).
tff(f75,plain,
! [X0: $int] :
( ~ $less(X0,15)
| $less(X0,5)
| p(X0)
| ( 5 = X0 ) ),
inference(resolution,[],[f10,f27]) ).
tff(f91,plain,
( ! [X0: $int] :
( $less(sK0,X0)
| $less(X0,12)
| ( sK0 = X0 ) )
| ~ spl1_4 ),
inference(resolution,[],[f72,f10]) ).
tff(f171,plain,
( $less(15,12)
| $less(sK0,5)
| p(sK0)
| ( 15 = sK0 )
| ( 5 = sK0 )
| ~ spl1_4 ),
inference(resolution,[],[f75,f91]) ).
tff(f172,plain,
( p(sK0)
| ( 15 = sK0 )
| $less(sK0,5)
| ( 5 = sK0 )
| ~ spl1_4 ),
inference(evaluation,[],[f171]) ).
tff(f173,plain,
( ( 5 = sK0 )
| $less(sK0,5)
| ( 15 = sK0 )
| spl1_1
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f172,f33]) ).
tff(f175,definition,
( spl1_5
<=> ( 5 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
tff(f179,definition,
( spl1_6
<=> $less(sK0,5) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
tff(f183,definition,
( spl1_7
<=> ( 15 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
tff(f186,plain,
( spl1_5
| spl1_6
| spl1_7
| spl1_1
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f173,f48,f31,f183,f179,f175]) ).
tff(f187,plain,
$false,
inference(avatar_smt_refutation,[],[f186,f51,f45,f39,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI612_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:53:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.36/1.13 % (1160523)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.36/1.13 % (1160531)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2517636396:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.36/1.13 % (1160531)Instruction limit reached!
% 3.36/1.13 % (1160531)------------------------------
% 3.36/1.13 % (1160531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.13 % (1160531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.13 % (1160531)CaDiCaL version: 2.1.3
% 3.36/1.13 % (1160531)Termination reason: Instruction limit
% 3.36/1.13 % (1160531)Termination phase: Saturation
% 3.36/1.13 % (1160531)Time elapsed: 0.003 s
% 3.36/1.13 % (1160531)Peak memory usage: 88 MB
% 3.36/1.13 % (1160531)Instructions burned: 7 (million)
% 3.36/1.13 % (1160533)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1741062720:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.36/1.13 % (1160530)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=511304257:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.36/1.13 % (1160528)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3433632854:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.36/1.13 % (1160529)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1888839720:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.36/1.13 % (1160532)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1785246528:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.36/1.13 % (1160532)Instruction limit reached!
% 3.36/1.13 % (1160532)------------------------------
% 3.36/1.13 % (1160532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.13 % (1160532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.13 % (1160532)CaDiCaL version: 2.1.3
% 3.36/1.13 % (1160532)Termination reason: Instruction limit
% 3.36/1.13 % (1160532)Termination phase: Saturation
% 3.36/1.13 % (1160532)Time elapsed: 0.004 s
% 3.36/1.13 % (1160532)Peak memory usage: 89 MB
% 3.36/1.13 % (1160532)Instructions burned: 5 (million)
% 3.36/1.13 % (1160534)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4162423506:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.36/1.13 % (1160529)Refutation not found, incomplete strategy
% 3.36/1.13 % (1160529)------------------------------
% 3.36/1.13 % (1160529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.13 % (1160529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.13 % (1160529)CaDiCaL version: 2.1.3
% 3.36/1.13 % (1160529)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.13 % (1160529)Time elapsed: 0.029 s
% 3.36/1.13 % (1160529)Peak memory usage: 114 MB
% 3.36/1.13 % (1160529)Instructions burned: 7 (million)
% 3.36/1.13 % (1160533)Refutation not found, incomplete strategy
% 3.36/1.13 % (1160533)------------------------------
% 3.36/1.13 % (1160533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.13 % (1160533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.13 % (1160533)CaDiCaL version: 2.1.3
% 3.36/1.13 % (1160533)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.13 % (1160533)Time elapsed: 0.030 s
% 3.36/1.13 % (1160533)Peak memory usage: 115 MB
% 3.36/1.13 % (1160533)Instructions burned: 7 (million)
% 3.36/1.13 % (1160528)Refutation not found, incomplete strategy
% 3.36/1.13 % (1160528)------------------------------
% 3.36/1.13 % (1160528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.13 % (1160528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.13 % (1160528)CaDiCaL version: 2.1.3
% 3.36/1.13 % (1160528)Termination reason: Refutation not found, incomplete strategy
% 3.36/1.13 % (1160528)Time elapsed: 0.031 s
% 3.36/1.13 % (1160528)Peak memory usage: 116 MB
% 3.36/1.13 % (1160528)Instructions burned: 10 (million)
% 3.36/1.13 % (1160534)First to succeed.
% 3.36/1.13 % (1160534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1160523"
% 3.36/1.13 % (1160536)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1689660073:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.87/1.32 % (1160536)Refutation not found, incomplete strategy
% 3.87/1.32 % (1160536)------------------------------
% 3.87/1.32 % (1160536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.32 % (1160536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.32 % (1160536)CaDiCaL version: 2.1.3
% 3.87/1.32 % (1160536)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.32 % (1160536)Time elapsed: 0.001 s
% 3.87/1.32 % (1160536)Peak memory usage: 88 MB
% 3.87/1.32 % (1160543)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=3098283920:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.87/1.32 % (1160530)Instruction limit reached!
% 3.87/1.32 % (1160530)------------------------------
% 3.87/1.32 % (1160530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.32 % (1160530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.32 % (1160530)CaDiCaL version: 2.1.3
% 3.87/1.32 % (1160530)Termination reason: Instruction limit
% 3.87/1.32 % (1160530)Termination phase: Saturation
% 3.87/1.32 % (1160530)Time elapsed: 0.159 s
% 3.87/1.32 % (1160530)Peak memory usage: 117 MB
% 3.87/1.32 % (1160530)Instructions burned: 201 (million)
% 3.87/1.32 % (1160543)Instruction limit reached!
% 3.87/1.32 % (1160543)------------------------------
% 3.87/1.32 % (1160543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.32 % (1160543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.32 % (1160543)CaDiCaL version: 2.1.3
% 3.87/1.32 % (1160543)Termination reason: Instruction limit
% 3.87/1.32 % (1160543)Termination phase: Saturation
% 3.87/1.32 % (1160543)Time elapsed: 0.022 s
% 3.87/1.32 % (1160543)Peak memory usage: 88 MB
% 3.87/1.32 % (1160543)Instructions burned: 29 (million)
% 3.87/1.32 % (1160536)------------------------------
% 3.87/1.32 % (1160536)------------------------------
% 3.87/1.32 % (1160533)------------------------------
% 3.87/1.32 % (1160533)------------------------------
% 3.87/1.32 % (1160529)------------------------------
% 3.87/1.32 % (1160529)------------------------------
% 3.87/1.32 % (1160528)------------------------------
% 3.87/1.32 % (1160528)------------------------------
% 3.87/1.32 % (1160548)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=3673487645:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 3.87/1.32 % (1160546)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1822951457:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 3.87/1.32 % (1160548)Instruction limit reached!
% 3.87/1.32 % (1160548)------------------------------
% 3.87/1.32 % (1160548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.32 % (1160548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.32 % (1160548)CaDiCaL version: 2.1.3
% 3.87/1.32 % (1160548)Termination reason: Instruction limit
% 3.87/1.32 % (1160548)Termination phase: Saturation
% 3.87/1.32 % (1160548)Time elapsed: 0.011 s
% 3.87/1.32 % (1160548)Peak memory usage: 90 MB
% 3.87/1.32 % (1160548)Instructions burned: 29 (million)
% 3.87/1.32 % (1160534)Refutation found. Thanks to Tanya!
% 3.87/1.32 % SZS status Theorem for theBenchmark
% 3.87/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.32 % (1160534)------------------------------
% 3.87/1.32 % (1160534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.32 % (1160534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.32 % (1160534)CaDiCaL version: 2.1.3
% 3.87/1.32 % (1160534)Termination reason: Refutation
% 3.87/1.32 % (1160534)Time elapsed: 0.038 s
% 3.87/1.32 % (1160534)Peak memory usage: 116 MB
% 3.87/1.32 % (1160534)Instructions burned: 17 (million)
% 3.87/1.32 % (1160534)------------------------------
% 3.87/1.32 % (1160534)------------------------------
% 3.87/1.32 % (1160523)Success in time 0.467 s
% 3.87/1.32 % Vampire exiting
%------------------------------------------------------------------------------