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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET145-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 12:40:17 PM UTC 2026

% Result   : Unsatisfiable 2.84s 1.29s
% Output   : Refutation 3.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   85 (  10 unt;  11 def)
%            Number of atoms       :  181 (   3 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  150 (  54   ~;  85   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   15 (  13 usr;  11 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | ~ subclass(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).

fof(f122,negated_conjecture,
    intersection(x,intersection(y,z)) != intersection(y,intersection(x,z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_outside_intersection_1) ).

fof(f168,definition,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).

fof(f169,plain,
    ~ sQ0_eqProxy(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),
    inference(equality_proxy_replacement,[],[f122,f168]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
      | ~ subclass(X1,X0)
      | ~ subclass(X0,X1) ),
    inference(equality_proxy_replacement,[],[f7,f168]) ).

fof(f196,plain,
    ( ~ subclass(intersection(y,intersection(x,z)),intersection(x,intersection(y,z)))
    | ~ subclass(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))) ),
    inference(resolution,[],[f170,f169]) ).

fof(f199,definition,
    ( spl1_1
  <=> subclass(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f200,plain,
    ( ~ subclass(intersection(y,intersection(x,z)),intersection(x,intersection(y,z)))
    | spl1_1 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f202,definition,
    ( spl1_2
  <=> subclass(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f203,plain,
    ( ~ subclass(intersection(x,intersection(y,z)),intersection(y,intersection(x,z)))
    | spl1_2 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f205,plain,
    ( ~ spl1_2
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f196,f199,f202]) ).

fof(f206,plain,
    ( ~ member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),intersection(x,intersection(y,z)))
    | spl1_1 ),
    inference(resolution,[],[f200,f3]) ).

fof(f207,plain,
    ( member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),intersection(y,intersection(x,z)))
    | spl1_1 ),
    inference(resolution,[],[f200,f2]) ).

fof(f208,plain,
    ( member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),intersection(x,z))
    | spl1_1 ),
    inference(resolution,[],[f207,f22]) ).

fof(f209,plain,
    ( member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),y)
    | spl1_1 ),
    inference(resolution,[],[f207,f21]) ).

fof(f211,plain,
    ( member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),x)
    | spl1_1 ),
    inference(resolution,[],[f208,f21]) ).

fof(f216,plain,
    ( ~ member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),intersection(y,z))
    | ~ member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),x)
    | spl1_1 ),
    inference(resolution,[],[f23,f206]) ).

fof(f218,definition,
    ( spl1_3
  <=> member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),x) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f219,plain,
    ( ~ member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),x)
    | spl1_3 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f221,definition,
    ( spl1_4
  <=> member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),intersection(y,z)) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f222,plain,
    ( ~ member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),intersection(y,z))
    | spl1_4 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f223,plain,
    ( ~ spl1_3
    | ~ spl1_4
    | spl1_1 ),
    inference(avatar_split_clause,[],[f216,f199,f221,f218]) ).

fof(f224,plain,
    ( $false
    | spl1_1
    | spl1_3 ),
    inference(resolution,[],[f219,f211]) ).

fof(f225,plain,
    ( spl1_1
    | spl1_3 ),
    inference(avatar_contradiction_clause,[],[f224]) ).

fof(f226,plain,
    ( ~ member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),z)
    | ~ member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),y)
    | spl1_4 ),
    inference(resolution,[],[f222,f23]) ).

fof(f228,definition,
    ( spl1_5
  <=> member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),y) ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

fof(f229,plain,
    ( ~ member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),y)
    | spl1_5 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f231,definition,
    ( spl1_6
  <=> member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),z) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f232,plain,
    ( ~ member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),z)
    | spl1_6 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f233,plain,
    ( ~ spl1_5
    | ~ spl1_6
    | spl1_4 ),
    inference(avatar_split_clause,[],[f226,f221,f231,f228]) ).

fof(f234,plain,
    ( $false
    | spl1_1
    | spl1_5 ),
    inference(resolution,[],[f229,f209]) ).

fof(f235,plain,
    ( spl1_1
    | spl1_5 ),
    inference(avatar_contradiction_clause,[],[f234]) ).

fof(f236,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),intersection(y,intersection(x,z)))
    | spl1_2 ),
    inference(resolution,[],[f203,f3]) ).

fof(f237,plain,
    ( member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),intersection(x,intersection(y,z)))
    | spl1_2 ),
    inference(resolution,[],[f203,f2]) ).

fof(f238,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),intersection(x,z))
    | ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),y)
    | spl1_2 ),
    inference(resolution,[],[f236,f23]) ).

fof(f240,definition,
    ( spl1_7
  <=> member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),y) ),
    introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).

fof(f241,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),y)
    | spl1_7 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f243,definition,
    ( spl1_8
  <=> member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),intersection(x,z)) ),
    introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).

fof(f244,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),intersection(x,z))
    | spl1_8 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f245,plain,
    ( ~ spl1_7
    | ~ spl1_8
    | spl1_2 ),
    inference(avatar_split_clause,[],[f238,f202,f243,f240]) ).

fof(f246,plain,
    ( member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),intersection(y,z))
    | spl1_2 ),
    inference(resolution,[],[f237,f22]) ).

fof(f247,plain,
    ( member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),x)
    | spl1_2 ),
    inference(resolution,[],[f237,f21]) ).

fof(f248,plain,
    ( member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),z)
    | spl1_2 ),
    inference(resolution,[],[f246,f22]) ).

fof(f249,plain,
    ( member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),y)
    | spl1_2 ),
    inference(resolution,[],[f246,f21]) ).

fof(f250,plain,
    ( $false
    | spl1_2
    | spl1_7 ),
    inference(resolution,[],[f249,f241]) ).

fof(f251,plain,
    ( spl1_2
    | spl1_7 ),
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f252,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),z)
    | ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),x)
    | spl1_8 ),
    inference(resolution,[],[f244,f23]) ).

fof(f254,definition,
    ( spl1_9
  <=> member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),x) ),
    introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).

fof(f255,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),x)
    | spl1_9 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f257,definition,
    ( spl1_10
  <=> member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),z) ),
    introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).

fof(f258,plain,
    ( ~ member(not_subclass_element(intersection(x,intersection(y,z)),intersection(y,intersection(x,z))),z)
    | spl1_10 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f259,plain,
    ( ~ spl1_9
    | ~ spl1_10
    | spl1_8 ),
    inference(avatar_split_clause,[],[f252,f243,f257,f254]) ).

fof(f260,plain,
    ( $false
    | spl1_2
    | spl1_9 ),
    inference(resolution,[],[f255,f247]) ).

fof(f261,plain,
    ( spl1_2
    | spl1_9 ),
    inference(avatar_contradiction_clause,[],[f260]) ).

fof(f262,plain,
    ( $false
    | spl1_2
    | spl1_10 ),
    inference(resolution,[],[f258,f248]) ).

fof(f263,plain,
    ( spl1_2
    | spl1_10 ),
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f265,plain,
    ( member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),intersection(y,intersection(x,z)))
    | spl1_1 ),
    inference(resolution,[],[f200,f2]) ).

fof(f267,plain,
    ( member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),intersection(x,z))
    | spl1_1 ),
    inference(resolution,[],[f265,f22]) ).

fof(f269,plain,
    ( member(not_subclass_element(intersection(y,intersection(x,z)),intersection(x,intersection(y,z))),z)
    | spl1_1 ),
    inference(resolution,[],[f267,f22]) ).

fof(f271,plain,
    ( $false
    | spl1_1
    | spl1_6 ),
    inference(resolution,[],[f269,f232]) ).

fof(f272,plain,
    ( spl1_1
    | spl1_6 ),
    inference(avatar_contradiction_clause,[],[f271]) ).

cnf(s2,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(sat_conversion,[],[f205]) ).

cnf(s3,plain,
    ( spl1_1
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(sat_conversion,[],[f223]) ).

cnf(s4,plain,
    ( spl1_1
    | spl1_3 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s5,plain,
    ( spl1_4
    | ~ spl1_5
    | ~ spl1_6 ),
    inference(sat_conversion,[],[f233]) ).

cnf(s6,plain,
    ( spl1_1
    | spl1_5 ),
    inference(sat_conversion,[],[f235]) ).

cnf(s7,plain,
    ( spl1_2
    | ~ spl1_7
    | ~ spl1_8 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s8,plain,
    ( spl1_2
    | spl1_7 ),
    inference(sat_conversion,[],[f251]) ).

cnf(s9,plain,
    ( spl1_8
    | ~ spl1_9
    | ~ spl1_10 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s10,plain,
    ( spl1_2
    | spl1_9 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s11,plain,
    ( spl1_2
    | spl1_10 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s12,plain,
    ( spl1_1
    | spl1_6 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s13,plain,
    spl1_1,
    inference(rat,[],[s3,s5,s4,s6,s12]) ).

cnf(s14,plain,
    ~ spl1_2,
    inference(rat,[],[s2,s13]) ).

cnf(s15,plain,
    spl1_10,
    inference(rat,[],[s11,s14]) ).

cnf(s16,plain,
    spl1_9,
    inference(rat,[],[s10,s14]) ).

cnf(s17,plain,
    spl1_7,
    inference(rat,[],[s8,s14]) ).

cnf(s18,plain,
    spl1_8,
    inference(rat,[],[s9,s15,s16]) ).

cnf(s19,plain,
    $false,
    inference(rat,[],[s7,s14,s18,s17]) ).

fof(f273,plain,
    $false,
    inference(avatar_sat_refutation,[],[s19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET145-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n013.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 00:53:51 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 2.84/1.29  % (710849)Input is clausal, will run a generic CNF schedule.
% 2.84/1.29  % (710855)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1369800945:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.84/1.29  % (710854)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=106394218:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.84/1.29  % (710856)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2761688328:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.84/1.29  % (710859)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1113081879:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.84/1.29  % (710860)dis-21_1_sil=8000:lcm=predicate:random_seed=2536428243: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)
% 2.84/1.29  % (710857)lrs+10_1_sil=8000:sp=occurrence:random_seed=1537358842:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.84/1.29  % (710858)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2529642988:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.84/1.29  % (710858)Refutation not found, incomplete strategy
% 2.84/1.29  % (710858)------------------------------
% 2.84/1.29  % (710858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.29  % (710857)Refutation not found, incomplete strategy
% 2.84/1.29  % (710857)------------------------------
% 2.84/1.29  % (710857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.29  % (710858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.29  % (710857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.29  % (710858)CaDiCaL version: 2.1.3
% 2.84/1.29  % (710857)CaDiCaL version: 2.1.3
% 2.84/1.29  % (710858)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.29  % (710858)Time elapsed: 0.001 s
% 2.84/1.29  % (710857)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.29  % (710857)Time elapsed: 0.001 s
% 2.84/1.29  % (710858)Peak memory usage: 88 MB
% 2.84/1.29  % (710857)Peak memory usage: 87 MB
% 2.84/1.29  % (710860)First to succeed.
% 2.84/1.29  % (710860)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-710849"
% 2.84/1.29  % (710859)Instruction limit reached! 
% 2.84/1.29  % (710859)------------------------------
% 2.84/1.29  % (710859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.29  % (710859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.29  % (710859)CaDiCaL version: 2.1.3
% 2.84/1.29  % (710859)Termination reason: Instruction limit
% 2.84/1.29  % (710859)Termination phase: Saturation
% 2.84/1.29  % (710859)Time elapsed: 0.135 s
% 2.84/1.29  % (710859)Peak memory usage: 90 MB
% 2.84/1.29  % (710859)Instructions burned: 181 (million)
% 2.84/1.29  % (710858)------------------------------
% 2.84/1.29  % (710858)------------------------------
% 2.84/1.29  % (710857)------------------------------
% 2.84/1.29  % (710857)------------------------------
% 2.84/1.29  % (710860)Refutation found. Thanks to Tanya!
% 2.84/1.29  % SZS status Unsatisfiable for theBenchmark
% 2.84/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.48  % (710860)------------------------------
% 3.63/1.48  % (710860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.48  % (710860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.48  % (710860)CaDiCaL version: 2.1.3
% 3.63/1.48  % (710860)Termination reason: Refutation
% 3.63/1.48  % (710860)Time elapsed: 0.006 s
% 3.63/1.48  % (710860)Peak memory usage: 89 MB
% 3.63/1.48  % (710860)Instructions burned: 8 (million)
% 3.63/1.48  % (710860)------------------------------
% 3.63/1.48  % (710860)------------------------------
% 3.63/1.48  % (710849)Success in time 0.439 s
% 3.63/1.48  % Vampire exiting
%------------------------------------------------------------------------------