%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG036+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:08:14 AM UTC 2026
% Result : Theorem 1.84s 0.67s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 99 ( 9 unt; 22 def)
% Number of atoms : 367 ( 188 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 395 ( 127 ~; 160 |; 89 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,conjecture,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( e0 != op(e0,e0)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e3,e3) )
& ( op(e0,e0) != e1
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e3,e3) )
& ( op(e0,e0) != e2
| e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3) )
& ( op(e0,e0) != e3
| e3 != op(e1,e1)
| e3 != op(e2,e2)
| e3 != op(e3,e3) )
& ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f10,definition,
( ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,plain,
( ( e0 != op(e0,e0)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e3,e3) )
& ( op(e0,e0) != e1
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e3,e3) )
& ( op(e0,e0) != e2
| e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3) )
& ( op(e0,e0) != e3
| e3 != op(e1,e1)
| e3 != op(e2,e2)
| e3 != op(e3,e3) )
& ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f12,f11,f10]) ).
fof(f14,plain,
( ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
( ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f16,plain,
( ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f129,plain,
( e1 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f14]) ).
fof(f130,plain,
( e1 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f14]) ).
fof(f131,plain,
( e1 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f14]) ).
fof(f132,plain,
( op(e0,e0) = e1
| ~ sP2 ),
inference(cnf_transformation,[],[f14]) ).
fof(f133,plain,
( e2 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f134,plain,
( e2 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f135,plain,
( e2 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f136,plain,
( op(e0,e0) = e2
| ~ sP1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f137,plain,
( e3 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f138,plain,
( e3 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f139,plain,
( e3 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f140,plain,
( op(e0,e0) = e3
| ~ sP0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f141,plain,
( e0 = op(e3,e3)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f142,plain,
( e0 = op(e2,e2)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f143,plain,
( e0 = op(e1,e1)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f144,plain,
( e0 = op(e0,e0)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f13]) ).
fof(f145,plain,
( op(e0,e0) != e3
| e3 != op(e1,e1)
| e3 != op(e2,e2)
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f146,plain,
( op(e0,e0) != e2
| e2 != op(e1,e1)
| e2 != op(e2,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f147,plain,
( op(e0,e0) != e1
| e1 != op(e1,e1)
| e1 != op(e2,e2)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f148,plain,
( e0 != op(e0,e0)
| e0 != op(e1,e1)
| e0 != op(e2,e2)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f150,definition,
( spl3_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f154,definition,
( spl3_2
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f158,definition,
( spl3_3
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f162,definition,
( spl3_4
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f165,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f141,f162,f158,f154,f150]) ).
fof(f167,definition,
( spl3_5
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f170,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f142,f167,f158,f154,f150]) ).
fof(f172,definition,
( spl3_6
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f175,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f143,f172,f158,f154,f150]) ).
fof(f177,definition,
( spl3_7
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f180,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_7 ),
inference(avatar_split_clause,[],[f144,f177,f158,f154,f150]) ).
fof(f182,definition,
( spl3_8
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f186,definition,
( spl3_9
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f190,definition,
( spl3_10
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f194,definition,
( spl3_11
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f197,plain,
( ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f145,f194,f190,f186,f182]) ).
fof(f199,definition,
( spl3_12
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f203,definition,
( spl3_13
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition]) ).
fof(f207,definition,
( spl3_14
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f211,definition,
( spl3_15
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl3_15])],[avatar_definition]) ).
fof(f214,plain,
( ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f146,f211,f207,f203,f199]) ).
fof(f216,definition,
( spl3_16
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f220,definition,
( spl3_17
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f224,definition,
( spl3_18
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl3_18])],[avatar_definition]) ).
fof(f228,definition,
( spl3_19
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition]) ).
fof(f231,plain,
( ~ spl3_16
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f147,f228,f224,f220,f216]) ).
fof(f232,plain,
( ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f148,f177,f172,f167,f162]) ).
fof(f233,plain,
( ~ spl3_1
| spl3_8 ),
inference(avatar_split_clause,[],[f137,f182,f150]) ).
fof(f234,plain,
( ~ spl3_1
| spl3_9 ),
inference(avatar_split_clause,[],[f138,f186,f150]) ).
fof(f235,plain,
( ~ spl3_1
| spl3_10 ),
inference(avatar_split_clause,[],[f139,f190,f150]) ).
fof(f236,plain,
( ~ spl3_1
| spl3_11 ),
inference(avatar_split_clause,[],[f140,f194,f150]) ).
fof(f237,plain,
( ~ spl3_2
| spl3_12 ),
inference(avatar_split_clause,[],[f133,f199,f154]) ).
fof(f238,plain,
( ~ spl3_2
| spl3_13 ),
inference(avatar_split_clause,[],[f134,f203,f154]) ).
fof(f239,plain,
( ~ spl3_2
| spl3_14 ),
inference(avatar_split_clause,[],[f135,f207,f154]) ).
fof(f240,plain,
( ~ spl3_2
| spl3_15 ),
inference(avatar_split_clause,[],[f136,f211,f154]) ).
fof(f241,plain,
( ~ spl3_3
| spl3_16 ),
inference(avatar_split_clause,[],[f129,f216,f158]) ).
fof(f242,plain,
( ~ spl3_3
| spl3_17 ),
inference(avatar_split_clause,[],[f130,f220,f158]) ).
fof(f243,plain,
( ~ spl3_3
| spl3_18 ),
inference(avatar_split_clause,[],[f131,f224,f158]) ).
fof(f244,plain,
( ~ spl3_3
| spl3_19 ),
inference(avatar_split_clause,[],[f132,f228,f158]) ).
cnf(s1,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f165]) ).
cnf(s2,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_5 ),
inference(sat_conversion,[],[f170]) ).
cnf(s3,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_6 ),
inference(sat_conversion,[],[f175]) ).
cnf(s4,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_7 ),
inference(sat_conversion,[],[f180]) ).
cnf(s5,plain,
( ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(sat_conversion,[],[f197]) ).
cnf(s6,plain,
( ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15 ),
inference(sat_conversion,[],[f214]) ).
cnf(s7,plain,
( ~ spl3_16
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19 ),
inference(sat_conversion,[],[f231]) ).
cnf(s8,plain,
( ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7 ),
inference(sat_conversion,[],[f232]) ).
cnf(s9,plain,
( ~ spl3_1
| spl3_8 ),
inference(sat_conversion,[],[f233]) ).
cnf(s10,plain,
( ~ spl3_1
| spl3_9 ),
inference(sat_conversion,[],[f234]) ).
cnf(s11,plain,
( ~ spl3_1
| spl3_10 ),
inference(sat_conversion,[],[f235]) ).
cnf(s12,plain,
( ~ spl3_1
| spl3_11 ),
inference(sat_conversion,[],[f236]) ).
cnf(s13,plain,
( ~ spl3_2
| spl3_12 ),
inference(sat_conversion,[],[f237]) ).
cnf(s14,plain,
( ~ spl3_2
| spl3_13 ),
inference(sat_conversion,[],[f238]) ).
cnf(s15,plain,
( ~ spl3_2
| spl3_14 ),
inference(sat_conversion,[],[f239]) ).
cnf(s16,plain,
( ~ spl3_2
| spl3_15 ),
inference(sat_conversion,[],[f240]) ).
cnf(s17,plain,
( ~ spl3_3
| spl3_16 ),
inference(sat_conversion,[],[f241]) ).
cnf(s18,plain,
( ~ spl3_3
| spl3_17 ),
inference(sat_conversion,[],[f242]) ).
cnf(s19,plain,
( ~ spl3_3
| spl3_18 ),
inference(sat_conversion,[],[f243]) ).
cnf(s20,plain,
( ~ spl3_3
| spl3_19 ),
inference(sat_conversion,[],[f244]) ).
cnf(s71,plain,
( spl3_3
| spl3_2
| spl3_1 ),
inference(rat,[],[s8,s2,s3,s4,s1]) ).
cnf(s72,plain,
~ spl3_3,
inference(rat,[],[s7,s17,s18,s19,s20]) ).
cnf(s73,plain,
~ spl3_2,
inference(rat,[],[s6,s13,s14,s15,s16]) ).
cnf(s74,plain,
spl3_1,
inference(rat,[],[s71,s72,s73]) ).
cnf(s75,plain,
spl3_11,
inference(rat,[],[s12,s74]) ).
cnf(s76,plain,
spl3_10,
inference(rat,[],[s11,s74]) ).
cnf(s77,plain,
spl3_9,
inference(rat,[],[s10,s74]) ).
cnf(s78,plain,
spl3_8,
inference(rat,[],[s9,s74]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s5,s75,s78,s76,s77]) ).
fof(f503,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG036+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n001.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 19:25:34 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.84/0.67 % (645991)Detected formulas, will run a generic FOF schedule.
% 1.84/0.67 % (646001)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2238190674:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.84/0.67 % (646001)First to succeed.
% 1.84/0.67 % (646001)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-645991"
% 1.84/0.67 % (646000)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=357386767:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.84/0.67 % (646002)dis-21_1_sil=8000:lcm=predicate:random_seed=1928583803: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)
% 1.84/0.67 % (645999)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3043903753:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.84/0.67 % (645997)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=61939347:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.84/0.67 % (645996)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=1156464241:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.84/0.67 % (645998)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=1746640186:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.84/0.67 % (646000)Also succeeded, but the first one will report.
% 1.84/0.67 % (646002)Also succeeded, but the first one will report.
% 1.84/0.67 % (645999)Instruction limit reached!
% 1.84/0.67 % (645999)------------------------------
% 1.84/0.67 % (645999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.84/0.67 % (645999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.67 % (645999)CaDiCaL version: 2.1.3
% 1.84/0.67 % (645999)Termination reason: Instruction limit
% 1.84/0.67 % (645999)Termination phase: Saturation
% 1.84/0.67 % (645999)Time elapsed: 0.061 s
% 1.84/0.67 % (645999)Peak memory usage: 90 MB
% 1.84/0.67 % (645999)Instructions burned: 109 (million)
% 1.84/0.67 % (646001)Refutation found. Thanks to Tanya!
% 1.84/0.67 % SZS status Theorem for theBenchmark
% 1.84/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.85 % (646001)------------------------------
% 2.26/0.85 % (646001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.26/0.85 % (646001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.85 % (646001)CaDiCaL version: 2.1.3
% 2.26/0.85 % (646001)Termination reason: Refutation
% 2.26/0.85 % (646001)Time elapsed: 0.003 s
% 2.26/0.85 % (646001)Peak memory usage: 89 MB
% 2.26/0.85 % (646001)Instructions burned: 10 (million)
% 2.26/0.85 % (646001)------------------------------
% 2.26/0.85 % (646001)------------------------------
% 2.26/0.85 % (645991)Success in time 0.269 s
% 2.26/0.85 % Vampire exiting
%------------------------------------------------------------------------------