%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:31:03 PM UTC 2026
% Result : Unsatisfiable 1.83s 1.13s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of formulae : 94 ( 8 unt; 4 def)
% Number of atoms : 252 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 302 ( 144 ~; 154 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 5 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 68 ( 0 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ~ friday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_friday) ).
fof(f6,axiom,
! [X0] :
( ~ saturday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_saturday) ).
fof(f7,axiom,
! [X0] :
( ~ sunday(X0)
| ~ monday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_sunday) ).
fof(f10,axiom,
! [X0] :
( ~ friday(X0)
| ~ tuesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_friday) ).
fof(f11,axiom,
! [X0] :
( ~ saturday(X0)
| ~ tuesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_saturday) ).
fof(f12,axiom,
! [X0] :
( ~ sunday(X0)
| ~ tuesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_sunday) ).
fof(f14,axiom,
! [X0] :
( ~ friday(X0)
| ~ wednesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_friday) ).
fof(f15,axiom,
! [X0] :
( ~ saturday(X0)
| ~ wednesday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_saturday) ).
fof(f23,axiom,
! [X0] :
( tuesday(X0)
| ~ monday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_yesterday) ).
fof(f24,axiom,
! [X0] :
( wednesday(X0)
| ~ tuesday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_yesterday) ).
fof(f25,axiom,
! [X0] :
( ~ wednesday(yesterday(X0))
| thursday(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_yesterday) ).
fof(f26,axiom,
! [X0] :
( friday(X0)
| ~ thursday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_yesterday) ).
fof(f27,axiom,
! [X0] :
( saturday(X0)
| ~ friday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_yesterday) ).
fof(f28,axiom,
! [X0] :
( sunday(X0)
| ~ saturday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',saturday_yesterday) ).
fof(f31,axiom,
! [X0] :
( ~ wednesday(X0)
| tuesday(yesterday(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yesterday_tuesday) ).
fof(f37,axiom,
! [X0] :
( wednesday(X0)
| monday(X0)
| tuesday(X0)
| ~ member(X0,lying_days(lion)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lions_lying_days) ).
fof(f38,axiom,
! [X0] :
( saturday(X0)
| thursday(X0)
| friday(X0)
| ~ member(X0,lying_days(unicorn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unicorns_lying_days) ).
fof(f40,axiom,
! [X0] :
( ~ tuesday(X0)
| member(X0,lying_days(lion)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_tuesday) ).
fof(f41,axiom,
! [X0] :
( ~ wednesday(X0)
| member(X0,lying_days(lion)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lion_lies_on_wednesday) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ admits(X1,X0,X2)
| member(X0,lying_days(X1))
| member(X2,lying_days(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',admissions1) ).
fof(f49,axiom,
admits(lion,today,yesterday(today)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',admissions5) ).
fof(f50,axiom,
admits(unicorn,today,yesterday(today)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',admissions6) ).
fof(f51,negated_conjecture,
~ thursday(today),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_today_is_thursday) ).
fof(f59,plain,
! [X0] :
( ~ wednesday(X0)
| ~ thursday(yesterday(X0)) ),
inference(resolution,[],[f26,f14]) ).
fof(f60,plain,
! [X0] :
( ~ tuesday(X0)
| ~ thursday(yesterday(X0)) ),
inference(resolution,[],[f26,f10]) ).
fof(f61,plain,
! [X0] :
( ~ monday(X0)
| ~ thursday(yesterday(X0)) ),
inference(resolution,[],[f26,f5]) ).
fof(f65,plain,
! [X0] :
( ~ friday(yesterday(X0))
| ~ tuesday(X0) ),
inference(resolution,[],[f27,f11]) ).
fof(f66,plain,
! [X0] :
( ~ friday(yesterday(X0))
| ~ monday(X0) ),
inference(resolution,[],[f27,f6]) ).
fof(f71,plain,
! [X0] :
( ~ saturday(yesterday(X0))
| ~ tuesday(X0) ),
inference(resolution,[],[f28,f12]) ).
fof(f72,plain,
! [X0] :
( ~ saturday(yesterday(X0))
| ~ monday(X0) ),
inference(resolution,[],[f28,f7]) ).
fof(f92,plain,
! [X0] :
( ~ monday(yesterday(X0))
| member(X0,lying_days(lion)) ),
inference(resolution,[],[f40,f23]) ).
fof(f94,plain,
! [X0] :
( ~ tuesday(yesterday(X0))
| member(X0,lying_days(lion)) ),
inference(resolution,[],[f41,f24]) ).
fof(f102,plain,
! [X0] :
( tuesday(X0)
| monday(X0)
| ~ member(X0,lying_days(lion))
| ~ thursday(yesterday(X0)) ),
inference(resolution,[],[f37,f59]) ).
fof(f104,plain,
! [X0] :
( tuesday(yesterday(X0))
| tuesday(X0)
| ~ member(X0,lying_days(lion))
| monday(X0) ),
inference(resolution,[],[f37,f31]) ).
fof(f108,plain,
! [X0] :
( tuesday(yesterday(X0))
| monday(yesterday(X0))
| ~ member(yesterday(X0),lying_days(lion))
| thursday(X0) ),
inference(resolution,[],[f37,f25]) ).
fof(f110,plain,
! [X0] :
( friday(X0)
| thursday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ monday(X0) ),
inference(resolution,[],[f38,f6]) ).
fof(f111,plain,
! [X0] :
( friday(X0)
| thursday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ tuesday(X0) ),
inference(resolution,[],[f38,f11]) ).
fof(f112,plain,
! [X0] :
( friday(X0)
| thursday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ wednesday(X0) ),
inference(resolution,[],[f38,f15]) ).
fof(f117,plain,
( member(today,lying_days(lion))
| member(yesterday(today),lying_days(lion)) ),
inference(resolution,[],[f45,f49]) ).
fof(f118,plain,
( member(today,lying_days(unicorn))
| member(yesterday(today),lying_days(unicorn)) ),
inference(resolution,[],[f45,f50]) ).
fof(f120,definition,
( spl0_1
<=> member(yesterday(today),lying_days(unicorn)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f121,plain,
( member(yesterday(today),lying_days(unicorn))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,definition,
( spl0_2
<=> member(today,lying_days(unicorn)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f125,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f118,f123,f120]) ).
fof(f127,definition,
( spl0_3
<=> member(yesterday(today),lying_days(lion)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f130,definition,
( spl0_4
<=> member(today,lying_days(lion)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f132,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f117,f130,f127]) ).
fof(f170,plain,
! [X0] :
( friday(yesterday(X0))
| thursday(yesterday(X0))
| ~ tuesday(X0)
| ~ member(yesterday(X0),lying_days(unicorn)) ),
inference(resolution,[],[f71,f38]) ).
fof(f172,plain,
! [X0] :
( friday(yesterday(X0))
| thursday(yesterday(X0))
| ~ monday(X0)
| ~ member(yesterday(X0),lying_days(unicorn)) ),
inference(resolution,[],[f72,f38]) ).
fof(f224,plain,
! [X0] :
( thursday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ monday(X0)
| ~ monday(X0) ),
inference(resolution,[],[f110,f5]) ).
fof(f237,plain,
! [X0] :
( ~ monday(X0)
| ~ member(X0,lying_days(unicorn))
| thursday(X0) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f242,plain,
! [X0] :
( thursday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ tuesday(X0)
| ~ tuesday(X0) ),
inference(resolution,[],[f111,f10]) ).
fof(f254,plain,
! [X0] :
( ~ tuesday(X0)
| ~ member(X0,lying_days(unicorn))
| thursday(X0) ),
inference(duplicate_literal_removal,[],[f242]) ).
fof(f257,plain,
! [X0] :
( thursday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ wednesday(X0)
| ~ wednesday(X0) ),
inference(resolution,[],[f112,f14]) ).
fof(f268,plain,
! [X0] :
( ~ wednesday(X0)
| ~ member(X0,lying_days(unicorn))
| thursday(X0) ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f307,plain,
! [X0] :
( monday(yesterday(X0))
| ~ member(yesterday(X0),lying_days(lion))
| thursday(X0)
| member(X0,lying_days(lion)) ),
inference(resolution,[],[f108,f94]) ).
fof(f441,plain,
! [X0] :
( tuesday(X0)
| thursday(yesterday(X0))
| ~ member(yesterday(X0),lying_days(unicorn))
| ~ member(X0,lying_days(lion))
| monday(X0) ),
inference(resolution,[],[f254,f104]) ).
fof(f444,plain,
! [X0] :
( tuesday(X0)
| thursday(X0)
| monday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ member(X0,lying_days(lion)) ),
inference(resolution,[],[f268,f37]) ).
fof(f453,plain,
! [X0] :
( monday(X0)
| ~ member(X0,lying_days(lion))
| ~ thursday(yesterday(X0))
| ~ thursday(yesterday(X0)) ),
inference(resolution,[],[f102,f60]) ).
fof(f464,plain,
! [X0] :
( monday(X0)
| ~ member(X0,lying_days(lion))
| ~ thursday(yesterday(X0)) ),
inference(duplicate_literal_removal,[],[f453]) ).
fof(f661,plain,
! [X0] :
( thursday(yesterday(X0))
| ~ tuesday(X0)
| ~ member(yesterday(X0),lying_days(unicorn))
| ~ tuesday(X0) ),
inference(resolution,[],[f170,f65]) ).
fof(f680,plain,
! [X0] :
( ~ tuesday(X0)
| thursday(yesterday(X0))
| ~ member(yesterday(X0),lying_days(unicorn)) ),
inference(duplicate_literal_removal,[],[f661]) ).
fof(f686,plain,
! [X0] :
( thursday(yesterday(X0))
| ~ monday(X0)
| ~ member(yesterday(X0),lying_days(unicorn))
| ~ monday(X0) ),
inference(resolution,[],[f172,f66]) ).
fof(f706,plain,
! [X0] :
( ~ monday(X0)
| thursday(yesterday(X0))
| ~ member(yesterday(X0),lying_days(unicorn)) ),
inference(duplicate_literal_removal,[],[f686]) ).
fof(f758,plain,
! [X0] :
( ~ member(X0,lying_days(lion))
| ~ thursday(yesterday(X0))
| ~ thursday(yesterday(X0)) ),
inference(resolution,[],[f464,f61]) ).
fof(f777,plain,
! [X0] :
( ~ thursday(yesterday(X0))
| ~ member(X0,lying_days(lion)) ),
inference(duplicate_literal_removal,[],[f758]) ).
fof(f823,plain,
! [X0] :
( ~ member(yesterday(X0),lying_days(lion))
| thursday(X0)
| member(X0,lying_days(lion))
| member(X0,lying_days(lion)) ),
inference(resolution,[],[f307,f92]) ).
fof(f844,plain,
! [X0] :
( thursday(X0)
| ~ member(yesterday(X0),lying_days(lion))
| member(X0,lying_days(lion)) ),
inference(duplicate_literal_removal,[],[f823]) ).
fof(f1124,plain,
( ~ member(yesterday(today),lying_days(lion))
| member(today,lying_days(lion)) ),
inference(resolution,[],[f844,f51]) ).
fof(f1143,plain,
( spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1124,f127,f130]) ).
fof(f1492,plain,
! [X0] :
( thursday(X0)
| monday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ member(X0,lying_days(lion))
| ~ member(X0,lying_days(unicorn))
| thursday(X0) ),
inference(resolution,[],[f444,f254]) ).
fof(f1504,plain,
! [X0] :
( monday(X0)
| thursday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ member(X0,lying_days(lion)) ),
inference(duplicate_literal_removal,[],[f1492]) ).
fof(f1510,plain,
! [X0] :
( thursday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ member(X0,lying_days(lion))
| ~ member(X0,lying_days(unicorn))
| thursday(X0) ),
inference(resolution,[],[f1504,f237]) ).
fof(f1537,plain,
! [X0] :
( thursday(X0)
| ~ member(X0,lying_days(unicorn))
| ~ member(X0,lying_days(lion)) ),
inference(duplicate_literal_removal,[],[f1510]) ).
fof(f1538,plain,
( ~ member(today,lying_days(unicorn))
| ~ member(today,lying_days(lion)) ),
inference(resolution,[],[f1537,f51]) ).
fof(f1572,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1538,f123,f130]) ).
fof(f2102,plain,
! [X0] :
( thursday(yesterday(X0))
| ~ member(yesterday(X0),lying_days(unicorn))
| ~ member(X0,lying_days(lion))
| monday(X0)
| thursday(yesterday(X0))
| ~ member(yesterday(X0),lying_days(unicorn)) ),
inference(resolution,[],[f441,f680]) ).
fof(f2114,plain,
! [X0] :
( monday(X0)
| ~ member(yesterday(X0),lying_days(unicorn))
| ~ member(X0,lying_days(lion))
| thursday(yesterday(X0)) ),
inference(duplicate_literal_removal,[],[f2102]) ).
fof(f2129,plain,
! [X0] :
( ~ member(yesterday(X0),lying_days(unicorn))
| ~ member(X0,lying_days(lion))
| thursday(yesterday(X0))
| thursday(yesterday(X0))
| ~ member(yesterday(X0),lying_days(unicorn)) ),
inference(resolution,[],[f2114,f706]) ).
fof(f2151,plain,
! [X0] :
( thursday(yesterday(X0))
| ~ member(X0,lying_days(lion))
| ~ member(yesterday(X0),lying_days(unicorn)) ),
inference(duplicate_literal_removal,[],[f2129]) ).
fof(f2152,plain,
! [X0] :
( ~ member(X0,lying_days(lion))
| ~ member(yesterday(X0),lying_days(unicorn))
| ~ member(X0,lying_days(lion)) ),
inference(resolution,[],[f2151,f777]) ).
fof(f2192,plain,
! [X0] :
( ~ member(yesterday(X0),lying_days(unicorn))
| ~ member(X0,lying_days(lion)) ),
inference(duplicate_literal_removal,[],[f2152]) ).
fof(f2193,plain,
( ~ member(today,lying_days(lion))
| ~ spl0_1 ),
inference(resolution,[],[f2192,f121]) ).
fof(f2195,plain,
( ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2193,f120,f130]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f125]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f132]) ).
cnf(s5,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f1572]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f2195]) ).
cnf(s8,plain,
spl0_4,
inference(rat,[],[s2,s5]) ).
cnf(s9,plain,
~ spl0_1,
inference(rat,[],[s7,s8]) ).
cnf(s10,plain,
~ spl0_2,
inference(rat,[],[s6,s8]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s10,s9]) ).
fof(f2196,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:28:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 1.83/1.13 % (231711)Input is clausal, will run a generic CNF schedule.
% 1.83/1.13 % (231722)dis-21_1_sil=8000:lcm=predicate:random_seed=2699668077:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 1.83/1.13 % (231722)First to succeed.
% 1.83/1.13 % (231722)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-231711"
% 1.83/1.13 % (231719)lrs+10_1_sil=8000:sp=occurrence:random_seed=720839338:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.83/1.13 % (231719)Refutation not found, incomplete strategy
% 1.83/1.13 % (231719)------------------------------
% 1.83/1.13 % (231719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.83/1.13 % (231719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/1.13 % (231719)CaDiCaL version: 2.1.3
% 1.83/1.13 % (231719)Termination reason: Refutation not found, incomplete strategy
% 1.83/1.13 % (231719)Time elapsed: 0.004 s
% 1.83/1.13 % (231719)Peak memory usage: 88 MB
% 1.83/1.13 % (231719)Instructions burned: 5 (million)
% 1.83/1.13 % (231716)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=2222473240:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.83/1.13 % (231718)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=800241031:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.83/1.13 % (231717)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2279770656:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.83/1.13 % (231720)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1894465181:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.83/1.13 % (231721)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3985889367:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.83/1.13 % (231720)Also succeeded, but the first one will report.
% 1.83/1.13 % (231721)Also succeeded, but the first one will report.
% 1.83/1.13 % (231722)Refutation found. Thanks to Tanya!
% 1.83/1.13 % SZS status Unsatisfiable for theBenchmark
% 1.83/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.33 % (231722)------------------------------
% 2.63/1.33 % (231722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.33 % (231722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.33 % (231722)CaDiCaL version: 2.1.3
% 2.63/1.33 % (231722)Termination reason: Refutation
% 2.63/1.33 % (231722)Time elapsed: 0.016 s
% 2.63/1.33 % (231722)Peak memory usage: 89 MB
% 2.63/1.33 % (231722)Instructions burned: 53 (million)
% 2.63/1.33 % (231722)------------------------------
% 2.63/1.33 % (231722)------------------------------
% 2.63/1.33 % (231711)Success in time 0.288 s
% 2.63/1.33 % Vampire exiting
%------------------------------------------------------------------------------