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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV248-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 01:08:30 PM UTC 2026

% Result   : Unsatisfiable 4.08s 1.38s
% Output   : Refutation 4.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   47 (  10 unt;   4 def)
%            Number of atoms       :   88 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   75 (  34   ~;  37   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   24 (   0 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f127,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,X1,tc_set(X2))
      | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f128,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,X1,tc_set(X2))
      | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f1393,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f1394,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X1,X3,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

fof(f1452,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

fof(f1470,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

fof(f1473,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).

fof(f1475,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
      | ~ c_lessequals(X3,X1,tc_set(X2))
      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__least_0) ).

fof(f1476,negated_conjecture,
    ~ c_lessequals(c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1614,plain,
    ( ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f1475,f1476]) ).

fof(f1620,definition,
    ( spl0_1
  <=> c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f1622,plain,
    ( ~ c_lessequals(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f1620]) ).

fof(f1624,definition,
    ( spl0_2
  <=> c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f1626,plain,
    ( ~ c_lessequals(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f1624]) ).

fof(f1627,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f1614,f1624,f1620]) ).

fof(f1629,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f1622,f128]) ).

fof(f1630,plain,
    ( c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f1622,f127]) ).

fof(f1644,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f1629,f1452]) ).

fof(f1645,plain,
    ( ~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_G),c_Message_Oanalz(c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f1644,f1394]) ).

fof(f1647,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1645,f1630]) ).

fof(f1648,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f1647]) ).

fof(f1663,plain,
    ( ~ c_lessequals(c_union(v_G,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(resolution,[],[f1626,f1473]) ).

fof(f1670,plain,
    ( ~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(resolution,[],[f1663,f1475]) ).

fof(f1672,definition,
    ( spl0_5
  <=> c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f1674,plain,
    ( ~ c_lessequals(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f1672]) ).

fof(f1676,definition,
    ( spl0_6
  <=> c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f1678,plain,
    ( ~ c_lessequals(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f1676]) ).

fof(f1679,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1670,f1624,f1676,f1672]) ).

fof(f1683,plain,
    ( ~ c_in(c_Main_OsubsetI__1(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_5 ),
    inference(resolution,[],[f1674,f128]) ).

fof(f1684,plain,
    ( c_in(c_Main_OsubsetI__1(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
    | spl0_5 ),
    inference(resolution,[],[f1674,f127]) ).

fof(f1698,plain,
    ( ~ c_in(c_Main_OsubsetI__1(v_H,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
    | spl0_5 ),
    inference(resolution,[],[f1683,f1393]) ).

fof(f1699,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[],[f1698,f1684]) ).

fof(f1700,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f1699]) ).

fof(f1715,plain,
    ( ~ c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg)
    | spl0_6 ),
    inference(resolution,[],[f1678,f128]) ).

fof(f1716,plain,
    ( c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_G,tc_Message_Omsg)
    | spl0_6 ),
    inference(resolution,[],[f1678,f127]) ).

fof(f1741,plain,
    ( ~ c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(v_G),tc_Message_Omsg)
    | spl0_6 ),
    inference(resolution,[],[f1715,f1394]) ).

fof(f1746,plain,
    ( ~ c_in(c_Main_OsubsetI__1(v_G,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),v_G,tc_Message_Omsg)
    | spl0_6 ),
    inference(resolution,[],[f1741,f1470]) ).

fof(f1747,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1746,f1716]) ).

fof(f1748,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f1747]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f1627]) ).

cnf(s2,plain,
    spl0_1,
    inference(sat_conversion,[],[f1648]) ).

cnf(s4,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f1679]) ).

cnf(s5,plain,
    spl0_5,
    inference(sat_conversion,[],[f1700]) ).

cnf(s7,plain,
    spl0_6,
    inference(sat_conversion,[],[f1748]) ).

cnf(s8,plain,
    spl0_2,
    inference(rat,[],[s4,s7,s5]) ).

cnf(s9,plain,
    $false,
    inference(rat,[],[s1,s8,s2]) ).

fof(f1749,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV248-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n018.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 : Mon Sep 28 10:19:54 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
% 3.58/1.18  % (3283603)Input is clausal, will run a generic CNF schedule.
% 3.58/1.18  % (3283609)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1603579706:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.58/1.18  % (3283610)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=792752637:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.58/1.18  % (3283611)lrs+10_1_sil=8000:sp=occurrence:random_seed=3754735110:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.58/1.18  % (3283608)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=3410838983:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.58/1.18  % (3283613)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4145105238:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.58/1.18  % (3283612)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1143395325:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.58/1.18  % (3283614)dis-21_1_sil=8000:lcm=predicate:random_seed=3330231813: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)
% 3.58/1.18  % (3283613)First to succeed.
% 3.58/1.18  % (3283613)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3283603"
% 3.58/1.18  % (3283611)Instruction limit reached! 
% 3.58/1.18  % (3283611)------------------------------
% 3.58/1.18  % (3283611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18  % (3283611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.18  % (3283611)CaDiCaL version: 2.1.3
% 3.58/1.18  % (3283611)Termination reason: Instruction limit
% 3.58/1.18  % (3283611)Termination phase: Saturation
% 3.58/1.18  % (3283611)Time elapsed: 0.059 s
% 3.58/1.18  % (3283611)Peak memory usage: 89 MB
% 3.58/1.18  % (3283611)Instructions burned: 108 (million)
% 3.58/1.18  % (3283614)Instruction limit reached! 
% 3.58/1.18  % (3283614)------------------------------
% 3.58/1.18  % (3283614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18  % (3283614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.18  % (3283614)CaDiCaL version: 2.1.3
% 3.58/1.18  % (3283614)Termination reason: Instruction limit
% 3.58/1.18  % (3283614)Termination phase: Saturation
% 3.58/1.18  % (3283614)Time elapsed: 0.068 s
% 3.58/1.18  % (3283614)Peak memory usage: 89 MB
% 3.58/1.18  % (3283614)Instructions burned: 117 (million)
% 3.58/1.18  % (3283612)Instruction limit reached! 
% 3.58/1.18  % (3283612)------------------------------
% 3.58/1.18  % (3283612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18  % (3283612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.18  % (3283612)CaDiCaL version: 2.1.3
% 3.58/1.18  % (3283612)Termination reason: Instruction limit
% 3.58/1.18  % (3283612)Termination phase: Saturation
% 3.58/1.18  % (3283612)Time elapsed: 0.072 s
% 3.58/1.18  % (3283612)Peak memory usage: 89 MB
% 3.58/1.18  % (3283612)Instructions burned: 115 (million)
% 3.58/1.18  % (3283623)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3923070429:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.58/1.18  % (3283622)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=675869030:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.58/1.18  % (3283624)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3758239628:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.58/1.18  % (3283622)Refutation not found, incomplete strategy
% 3.58/1.18  % (3283622)------------------------------
% 3.58/1.18  % (3283622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18  % (3283622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.18  % (3283622)CaDiCaL version: 2.1.3
% 3.58/1.18  % (3283622)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.18  % (3283622)Time elapsed: 0.004 s
% 3.58/1.18  % (3283622)Peak memory usage: 88 MB
% 3.58/1.18  % (3283622)Instructions burned: 5 (million)
% 3.58/1.18  % (3283624)Refutation not found, incomplete strategy
% 4.08/1.38  % (3283624)------------------------------
% 4.08/1.38  % (3283624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.38  % (3283624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.38  % (3283624)CaDiCaL version: 2.1.3
% 4.08/1.38  % (3283624)Termination reason: Refutation not found, incomplete strategy
% 4.08/1.38  % (3283624)Time elapsed: 0.008 s
% 4.08/1.38  % (3283624)Peak memory usage: 88 MB
% 4.08/1.38  % (3283624)Instructions burned: 12 (million)
% 4.08/1.38  % (3283623)Refutation not found, incomplete strategy
% 4.08/1.38  % (3283623)------------------------------
% 4.08/1.38  % (3283623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.38  % (3283623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.38  % (3283623)CaDiCaL version: 2.1.3
% 4.08/1.38  % (3283623)Termination reason: Refutation not found, incomplete strategy
% 4.08/1.38  % (3283623)Time elapsed: 0.011 s
% 4.08/1.38  % (3283623)Peak memory usage: 88 MB
% 4.08/1.38  % (3283623)Instructions burned: 17 (million)
% 4.08/1.38  % (3283613)Refutation found. Thanks to Tanya!
% 4.08/1.38  % SZS status Unsatisfiable for theBenchmark
% 4.08/1.38  % SZS output start Proof for theBenchmark
% See solution above
% 4.08/1.38  % (3283613)------------------------------
% 4.08/1.38  % (3283613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.38  % (3283613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.38  % (3283613)CaDiCaL version: 2.1.3
% 4.08/1.38  % (3283613)Termination reason: Refutation
% 4.08/1.38  % (3283613)Time elapsed: 0.026 s
% 4.08/1.38  % (3283613)Peak memory usage: 90 MB
% 4.08/1.38  % (3283613)Instructions burned: 40 (million)
% 4.08/1.38  % (3283613)------------------------------
% 4.08/1.38  % (3283613)------------------------------
% 4.08/1.38  % (3283603)Success in time 0.513 s
% 4.08/1.38  % Vampire exiting
%------------------------------------------------------------------------------