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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV323-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n020.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 01:20:54 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.26s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   55 (   9 unt;   3 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  103 (  46   ~;  54   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  13 con; 0-3 aty)
%            Number of variables   :   43 (   0 sgn  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f3,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f4,negated_conjecture,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f5,negated_conjecture,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_1) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_union(X1,X2,X3),X3)
      | c_in(X0,X2,X3)
      | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f17,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_insert(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).

fof(f19,definition,
    ( spl0_1
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f21,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f23,definition,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f24,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f25,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f26,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f5,f23,f19]) ).

fof(f27,plain,
    ( ~ spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f4,f19,f23]) ).

fof(f29,definition,
    ( spl0_3
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f31,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f32,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f3,f19,f29]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
    inference(resolution,[],[f10,f13]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(resolution,[],[f14,f6]) ).

fof(f39,plain,
    ( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[],[f38,f2]) ).

fof(f40,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[],[f39,f1]) ).

fof(f41,plain,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
    inference(resolution,[],[f40,f36]) ).

fof(f46,plain,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
    inference(resolution,[],[f41,f9]) ).

fof(f48,plain,
    ! [X0] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[],[f46,f7]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
    inference(resolution,[],[f48,f16]) ).

fof(f58,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f55,f25]) ).

fof(f59,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | ~ spl0_2
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f58,f31]) ).

fof(f63,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_2
    | spl0_3 ),
    inference(resolution,[],[f59,f8]) ).

fof(f68,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_2
    | spl0_3 ),
    inference(resolution,[],[f63,f11]) ).

fof(f69,plain,
    ( $false
    | ~ spl0_2
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f68,f31]) ).

fof(f70,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f71,plain,
    ( ! [X0] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f21,f15]) ).

fof(f72,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f24,f12]) ).

fof(f76,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)
    | spl0_2 ),
    inference(resolution,[],[f72,f17]) ).

fof(f77,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f76,f71]) ).

fof(f78,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f77]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f26]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f27]) ).

cnf(s3,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f32]) ).

cnf(s4,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f70]) ).

cnf(s6,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f78]) ).

cnf(s7,plain,
    spl0_1,
    inference(rat,[],[s4,s1,s3]) ).

cnf(s8,plain,
    spl0_2,
    inference(rat,[],[s6,s7]) ).

cnf(s10,plain,
    $false,
    inference(rat,[],[s2,s8,s7]) ).

fof(f79,plain,
    $false,
    inference(avatar_sat_refutation,[],[s10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV323-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n020.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 10:35:35 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26  % (85389)Will run a generic schedule for satisfiability detection.
% 0.08/0.26  % (85394)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3774426696_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26  % TRYING [1]
% 0.08/0.26  % TRYING [2]
% 0.08/0.26  % (85395)% WARNING: option uhcvi not known.
% 0.08/0.26  % (85397)dis+10_1_sil=32000:sp=arity:random_seed=511106231:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26  % (85396)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=73019382:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26  % (85400)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2281882352:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26  % (85395)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=12700617:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26  % (85398)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1126866757:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26  % (85399)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4104104593:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26  % (85397) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-85389-85397"...
% 0.08/0.26  % (85400) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-85389-85400"...
% 0.08/0.26  % (85398) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-85389-85398"...
% 0.08/0.26  % (85395) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-85389-85395"...
% 0.08/0.26  % (85397)...printing done.
% 0.08/0.26  % (85400)...printing done.
% 0.08/0.26  % (85398)...printing done.
% 0.08/0.26  % (85396) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-85389-85396"...
% 0.08/0.26  % (85395)...printing done.
% 0.08/0.26  % (85396)...printing done.
% 0.08/0.26  % (85395)Refutation found. Thanks to Tanya!
% 0.08/0.26  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26  % (85395)------------------------------
% 0.08/0.26  % (85395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26  % (85395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26  % (85395)CaDiCaL version: 2.1.3
% 0.08/0.26  % (85395)Termination reason: Refutation
% 0.08/0.26  % (85395)Time elapsed: 0.005 s
% 0.08/0.26  % (85395)Peak memory usage: 12 MB
% 0.08/0.26  % (85395)Instructions burned: 5 (million)
% 0.08/0.26  % (85389)Success in time 0.038 s
% 0.08/0.26  % Vampire exiting
%------------------------------------------------------------------------------