%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT046_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 : n017.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 09:47:10 AM UTC 2026
% Result : Theorem 3.99s 1.35s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 59 ( 20 unt; 0 typ; 11 def)
% Number of atoms : 133 ( 55 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 127 ( 53 ~; 53 |; 9 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 85 ( 0 atm; 12 fun; 53 num; 20 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 : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 7 usr; 8 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_3,type,
count: collection > $int ).
tff(func_def_11,type,
sF0: collection ).
tff(func_def_12,type,
sF1: collection ).
tff(func_def_13,type,
sF2: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f1,axiom,
! [X0: $int] : ~ in(X0,empty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f4,axiom,
! [X2: $int,X1: collection,X0: $int] :
( in(X0,add(X2,X1))
<=> ( ( X0 = X2 )
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f7,axiom,
! [X0: collection] :
( ( count(X0) = 0 )
<=> ( X0 = empty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f8,axiom,
! [X1: collection,X0: $int] :
( ~ in(X0,X1)
<=> ( count(add(X0,X1)) = $sum(count(X1),1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f13,conjecture,
count(add(1,add(3,empty))) = 2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f14,negated_conjecture,
( ( ~ count(add(1,add(3,empty))) ) = 2 ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f19,plain,
count(add(1,add(3,empty))) != 2,
inference(flattening,[],[f14]) ).
tff(f20,plain,
! [X2: $int,X1: collection,X0: $int] :
( ( in(X2,X1)
| ( X0 = X2 ) )
<=> in(X2,add(X0,X1)) ),
inference(rectify,[],[f4]) ).
tff(f24,plain,
! [X0: collection] :
( ( ( count(X0) = 0 )
| ( empty != X0 ) )
& ( ( X0 = empty )
| ( count(X0) != 0 ) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f28,plain,
! [X1: collection,X0: $int] :
( ( ~ in(X0,X1)
| ( count(add(X0,X1)) != $sum(count(X1),1) ) )
& ( ( count(add(X0,X1)) = $sum(count(X1),1) )
| in(X0,X1) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f29,plain,
! [X0: collection,X1: $int] :
( ( ~ in(X1,X0)
| ( count(add(X1,X0)) != $sum(count(X0),1) ) )
& ( ( count(add(X1,X0)) = $sum(count(X0),1) )
| in(X1,X0) ) ),
inference(rectify,[],[f28]) ).
tff(f30,plain,
! [X2: $int,X1: collection,X0: $int] :
( ( in(X2,X1)
| ( X0 = X2 )
| ~ in(X2,add(X0,X1)) )
& ( in(X2,add(X0,X1))
| ( ~ in(X2,X1)
& ( X0 != X2 ) ) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f31,plain,
! [X2: $int,X1: collection,X0: $int] :
( ( in(X2,X1)
| ( X0 = X2 )
| ~ in(X2,add(X0,X1)) )
& ( in(X2,add(X0,X1))
| ( ~ in(X2,X1)
& ( X0 != X2 ) ) ) ),
inference(flattening,[],[f30]) ).
tff(f32,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( in(X0,X1)
| ( X0 = X2 )
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ~ in(X0,X1)
& ( X0 != X2 ) ) ) ),
inference(rectify,[],[f31]) ).
tff(f39,plain,
! [X0: collection] :
( ( count(X0) = 0 )
| ( empty != X0 ) ),
inference(cnf_transformation,[],[f24]) ).
tff(f45,plain,
! [X0: collection,X1: $int] :
( ( count(add(X1,X0)) = $sum(count(X0),1) )
| in(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
tff(f48,plain,
! [X0: $int] : ~ in(X0,empty),
inference(cnf_transformation,[],[f1]) ).
tff(f51,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,add(X2,X1))
| in(X0,X1)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f54,plain,
count(add(1,add(3,empty))) != 2,
inference(cnf_transformation,[],[f19]) ).
tff(f60,plain,
0 = count(empty),
inference(equality_resolution,[],[f39]) ).
tff(f63,definition,
sF0 = add(3,empty),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f64,plain,
add(3,empty) = sF0,
inference(reorient_equations,[],[f63]) ).
tff(f65,definition,
sF1 = add(1,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f66,plain,
add(1,sF0) = sF1,
inference(reorient_equations,[],[f65]) ).
tff(f67,definition,
sF2 = count(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f68,plain,
count(sF1) = sF2,
inference(reorient_equations,[],[f67]) ).
tff(f69,plain,
2 != sF2,
inference(definition_folding,[],[f54,f68,f66,f64]) ).
tff(f73,definition,
( spl3_1
<=> ( 2 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f76,plain,
~ spl3_1,
inference(avatar_split_clause,[],[f69,f73]) ).
tff(f78,definition,
( spl3_2
<=> ( 0 = count(empty) ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f80,plain,
( ( 0 = count(empty) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f78]) ).
tff(f81,plain,
spl3_2,
inference(avatar_split_clause,[],[f60,f78]) ).
tff(f83,definition,
( spl3_3
<=> ( count(sF1) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f85,plain,
( ( count(sF1) = sF2 )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f83]) ).
tff(f86,plain,
spl3_3,
inference(avatar_split_clause,[],[f68,f83]) ).
tff(f88,definition,
( spl3_4
<=> ( add(1,sF0) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f90,plain,
( ( add(1,sF0) = sF1 )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f88]) ).
tff(f91,plain,
spl3_4,
inference(avatar_split_clause,[],[f66,f88]) ).
tff(f93,definition,
( spl3_5
<=> ( add(3,empty) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f95,plain,
( ( add(3,empty) = sF0 )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f96,plain,
spl3_5,
inference(avatar_split_clause,[],[f64,f93]) ).
tff(f143,definition,
( spl3_12
<=> in(1,sF0) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
tff(f145,plain,
( in(1,sF0)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f164,plain,
( ! [X0: $int] :
( ( 3 = X0 )
| in(X0,empty)
| ~ in(X0,sF0) )
| ~ spl3_5 ),
inference(superposition,[],[f51,f95]) ).
tff(f166,plain,
( ! [X0: $int] :
( ~ in(X0,sF0)
| ( 3 = X0 ) )
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f164,f48]) ).
tff(f169,plain,
( ( count(sF1) = $sum(count(sF0),1) )
| in(1,sF0)
| ~ spl3_4 ),
inference(superposition,[],[f45,f90]) ).
tff(f170,plain,
( in(3,empty)
| ( count(sF0) = $sum(count(empty),1) )
| ~ spl3_5 ),
inference(superposition,[],[f45,f95]) ).
tff(f178,plain,
( ( count(sF0) = $sum(count(empty),1) )
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f170,f48]) ).
tff(f181,plain,
( ( count(sF0) = $sum(0,1) )
| ~ spl3_2
| ~ spl3_5 ),
inference(forward_demodulation,[],[f178,f80]) ).
tff(f182,plain,
( ( 1 = count(sF0) )
| ~ spl3_2
| ~ spl3_5 ),
inference(evaluation,[],[f181]) ).
tff(f185,definition,
( spl3_14
<=> ( 1 = count(sF0) ) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
tff(f188,plain,
( spl3_14
| ~ spl3_2
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f182,f93,f78,f185]) ).
tff(f190,definition,
( spl3_15
<=> ( sF2 = $sum(count(sF0),1) ) ),
introduced(definition,[new_symbols(definition,[spl3_15])],[avatar_definition]) ).
tff(f194,plain,
( in(1,sF0)
| ( sF2 = $sum(count(sF0),1) )
| ~ spl3_3
| ~ spl3_4 ),
inference(forward_demodulation,[],[f169,f85]) ).
tff(f195,plain,
( spl3_15
| spl3_12
| ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f194,f88,f83,f143,f190]) ).
tff(f230,plain,
( ( 1 = 3 )
| ~ spl3_5
| ~ spl3_12 ),
inference(resolution,[],[f166,f145]) ).
tff(f232,plain,
( $false
| ~ spl3_5
| ~ spl3_12 ),
inference(evaluation,[],[f230]) ).
tff(f233,plain,
( ~ spl3_5
| ~ spl3_12 ),
inference(avatar_contradiction_clause,[],[f232]) ).
tff(f234,plain,
$false,
inference(avatar_smt_refutation,[],[f233,f195,f188,f96,f91,f86,f81,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT046_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:02:38 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.05/1.15 % (4148260)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.05/1.15 % (4148304)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3423820973:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.05/1.15 % (4148304)Instruction limit reached!
% 3.05/1.15 % (4148304)------------------------------
% 3.05/1.15 % (4148304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.15 % (4148304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.15 % (4148304)CaDiCaL version: 2.1.3
% 3.05/1.15 % (4148304)Termination reason: Instruction limit
% 3.05/1.15 % (4148304)Termination phase: Saturation
% 3.05/1.15 % (4148304)Time elapsed: 0.003 s
% 3.05/1.15 % (4148304)Peak memory usage: 89 MB
% 3.05/1.15 % (4148304)Instructions burned: 7 (million)
% 3.05/1.15 % (4148301)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1682989849:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.05/1.15 % (4148303)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3368391249:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.05/1.15 % (4148302)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1962997829:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.05/1.15 % (4148300)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1391875693:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.05/1.15 % (4148303)Instruction limit reached!
% 3.05/1.15 % (4148303)------------------------------
% 3.05/1.15 % (4148303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.15 % (4148303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.15 % (4148303)CaDiCaL version: 2.1.3
% 3.05/1.15 % (4148303)Termination reason: Instruction limit
% 3.05/1.15 % (4148303)Termination phase: Saturation
% 3.05/1.15 % (4148303)Time elapsed: 0.007 s
% 3.05/1.15 % (4148303)Peak memory usage: 88 MB
% 3.05/1.15 % (4148303)Instructions burned: 8 (million)
% 3.05/1.15 % (4148306)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=768514309:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.05/1.15 % (4148305)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1366716798:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.05/1.15 % (4148300)Instruction limit reached!
% 3.05/1.15 % (4148300)------------------------------
% 3.05/1.15 % (4148300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.15 % (4148300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.15 % (4148300)CaDiCaL version: 2.1.3
% 3.05/1.15 % (4148300)Termination reason: Instruction limit
% 3.05/1.15 % (4148300)Termination phase: Saturation
% 3.05/1.15 % (4148300)Time elapsed: 0.031 s
% 3.05/1.15 % (4148300)Peak memory usage: 115 MB
% 3.05/1.15 % (4148300)Instructions burned: 12 (million)
% 3.05/1.15 % (4148301)First to succeed.
% 3.05/1.15 % (4148301)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4148260"
% 3.05/1.15 % (4148305)Also succeeded, but the first one will report.
% 3.05/1.15 % (4148306)Instruction limit reached!
% 3.05/1.15 % (4148306)------------------------------
% 3.05/1.15 % (4148306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.15 % (4148306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.15 % (4148306)CaDiCaL version: 2.1.3
% 3.05/1.15 % (4148306)Termination reason: Instruction limit
% 3.05/1.15 % (4148306)Termination phase: Saturation
% 3.05/1.15 % (4148306)Time elapsed: 0.048 s
% 3.05/1.15 % (4148306)Peak memory usage: 115 MB
% 3.05/1.15 % (4148306)Instructions burned: 33 (million)
% 3.05/1.15 % (4148302)Also succeeded, but the first one will report.
% 3.05/1.15 % (4148308)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1929163833:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.05/1.15 % (4148308)Instruction limit reached!
% 3.05/1.15 % (4148308)------------------------------
% 3.05/1.15 % (4148308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.05/1.15 % (4148308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/1.15 % (4148308)CaDiCaL version: 2.1.3
% 3.05/1.15 % (4148308)Termination reason: Instruction limit
% 3.05/1.15 % (4148308)Termination phase: Saturation
% 3.99/1.35 % (4148308)Time elapsed: 0.006 s
% 3.99/1.35 % (4148308)Peak memory usage: 88 MB
% 3.99/1.35 % (4148308)Instructions burned: 15 (million)
% 3.99/1.35 % (4148313)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=1070633554:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.99/1.35 % (4148313)Instruction limit reached!
% 3.99/1.35 % (4148313)------------------------------
% 3.99/1.35 % (4148313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (4148313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (4148316)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=554220409:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.99/1.35 % (4148313)CaDiCaL version: 2.1.3
% 3.99/1.35 % (4148313)Termination reason: Instruction limit
% 3.99/1.35 % (4148313)Termination phase: Saturation
% 3.99/1.35 % (4148313)Time elapsed: 0.021 s
% 3.99/1.35 % (4148313)Peak memory usage: 89 MB
% 3.99/1.35 % (4148313)Instructions burned: 29 (million)
% 3.99/1.35 % (4148316)Instruction limit reached!
% 3.99/1.35 % (4148316)------------------------------
% 3.99/1.35 % (4148316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (4148316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (4148316)CaDiCaL version: 2.1.3
% 3.99/1.35 % (4148316)Termination reason: Instruction limit
% 3.99/1.35 % (4148316)Termination phase: Saturation
% 3.99/1.35 % (4148316)Time elapsed: 0.011 s
% 3.99/1.35 % (4148316)Peak memory usage: 90 MB
% 3.99/1.35 % (4148316)Instructions burned: 16 (million)
% 3.99/1.35 % (4148319)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=2594087292:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.99/1.35 % (4148317)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3747000734:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.99/1.35 % (4148319)Also succeeded, but the first one will report.
% 3.99/1.35 % (4148317)Also succeeded, but the first one will report.
% 3.99/1.35 % (4148301)Refutation found. Thanks to Tanya!
% 3.99/1.35 % SZS status Theorem for theBenchmark
% 3.99/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.99/1.35 % (4148301)------------------------------
% 3.99/1.35 % (4148301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.35 % (4148301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.35 % (4148301)CaDiCaL version: 2.1.3
% 3.99/1.35 % (4148301)Termination reason: Refutation
% 3.99/1.35 % (4148301)Time elapsed: 0.046 s
% 3.99/1.35 % (4148301)Peak memory usage: 116 MB
% 3.99/1.35 % (4148301)Instructions burned: 25 (million)
% 3.99/1.35 % (4148301)------------------------------
% 3.99/1.35 % (4148301)------------------------------
% 3.99/1.35 % (4148260)Success in time 0.472 s
% 3.99/1.35 % Vampire exiting
%------------------------------------------------------------------------------