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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO034-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 09:51:17 AM UTC 2026

% Result   : Unsatisfiable 3.07s 1.36s
% Output   : Refutation 4.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  100 (  25 unt;   8 def)
%            Number of atoms       :  282 (  59 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  332 ( 150   ~; 174   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   9 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   88 (   0 sgn  88   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( equidistant(X4,X6,X5,X7)
      | ~ equidistant(X1,X4,X3,X5)
      | ~ equidistant(X0,X6,X2,X7)
      | ~ equidistant(X1,X6,X3,X7)
      | ~ between(X0,X1,X4)
      | ~ between(X2,X3,X5)
      | X0 = X1
      | ~ equidistant(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).

fof(f20,axiom,
    ! [X0,X1] : equidistant(X0,X1,X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).

fof(f33,axiom,
    ! [X0,X1] : between(X0,X1,reflection(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r2_1) ).

fof(f37,axiom,
    ! [X0] : X0 = reflection(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3_2) ).

fof(f38,plain,
    ! [X0] : reflection(X0,X0) = X0,
    inference(reorient_equations,[],[f37]) ).

fof(f43,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X1,X2,X1,X3)
      | ~ between(X0,X1,X3)
      | ~ between(X0,X1,X2)
      | X0 = X1
      | X2 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9) ).

fof(f49,axiom,
    ! [X0,X1] : X0 = reflection(reflection(X0,X1),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r6) ).

fof(f50,plain,
    ! [X0,X1] : reflection(reflection(X0,X1),X1) = X0,
    inference(reorient_equations,[],[f49]) ).

fof(f51,axiom,
    ! [X0,X1] : between(X0,X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).

fof(f53,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).

fof(f54,axiom,
    ! [X0,X1] : between(X0,X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).

fof(f56,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X0,X2,X1)
      | X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b3) ).

fof(f61,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X2,X3)
      | between(X0,X2,X3)
      | X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b6) ).

fof(f73,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X2,X0,X3)
      | ~ between(X0,X1,X2)
      | ~ equidistant(X1,X2,X1,X3)
      | X0 = X1
      | X2 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11) ).

fof(f77,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f78,axiom,
    equidistant(u,v,u,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u_to_x) ).

fof(f79,axiom,
    equidistant(w,v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_v_equals_w_to_x) ).

fof(f80,negated_conjecture,
    v != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_is_x) ).

fof(f91,plain,
    ! [X0,X1] : between(reflection(X0,X1),X1,X0),
    inference(superposition,[],[f33,f50]) ).

fof(f115,definition,
    ( spl0_1
  <=> u = v ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f117,plain,
    ( u = v
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f131,definition,
    ( spl0_3
  <=> v = w ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f132,plain,
    ( v != w
    | spl0_3 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f133,plain,
    ( v = w
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f154,plain,
    between(w,v,u),
    inference(resolution,[],[f53,f77]) ).

fof(f162,plain,
    ( ~ between(w,u,v)
    | u = v ),
    inference(resolution,[],[f154,f56]) ).

fof(f170,definition,
    ( spl0_7
  <=> between(w,u,v) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f172,plain,
    ( ~ between(w,u,v)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f173,plain,
    ( spl0_1
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f162,f170,f115]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ between(v,w,X0)
      | between(u,w,X0)
      | v = w ),
    inference(resolution,[],[f61,f77]) ).

fof(f192,definition,
    ( spl0_10
  <=> ! [X0] :
        ( ~ between(v,w,X0)
        | between(u,w,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f193,plain,
    ( ! [X0] :
        ( ~ between(v,w,X0)
        | between(u,w,X0) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f194,plain,
    ( spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f184,f192,f131]) ).

fof(f230,plain,
    ! [X0] :
      ( ~ between(X0,u,x)
      | ~ between(X0,u,v)
      | u = X0
      | v = x ),
    inference(resolution,[],[f43,f78]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ between(X0,u,x)
      | ~ between(X0,u,v)
      | u = X0 ),
    inference(forward_subsumption_resolution,[],[f230,f80]) ).

fof(f237,plain,
    ( ! [X0] :
        ( ~ between(X0,v,x)
        | ~ between(X0,u,v)
        | u = X0 )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f236,f117]) ).

fof(f238,plain,
    ( ! [X0] :
        ( ~ between(X0,v,v)
        | ~ between(X0,v,x)
        | u = X0 )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f237,f117]) ).

fof(f239,plain,
    ( ! [X0] :
        ( ~ between(X0,v,x)
        | u = X0 )
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f238,f51]) ).

fof(f240,plain,
    ( ! [X0] :
        ( ~ between(X0,v,x)
        | v = X0 )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f239,f117]) ).

fof(f242,plain,
    ( v = reflection(x,v)
    | ~ spl0_1 ),
    inference(resolution,[],[f240,f91]) ).

fof(f258,plain,
    ( x = reflection(v,v)
    | ~ spl0_1 ),
    inference(superposition,[],[f50,f242]) ).

fof(f260,plain,
    ( v = x
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f258,f38]) ).

fof(f263,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f260,f80]) ).

fof(f264,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f263]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ between(u,X0,v)
      | ~ equidistant(X0,v,X0,x)
      | u = X0
      | v = x ),
    inference(resolution,[],[f73,f78]) ).

fof(f296,plain,
    ! [X0] :
      ( ~ between(u,X0,v)
      | ~ equidistant(X0,v,X0,x)
      | u = X0 ),
    inference(forward_subsumption_resolution,[],[f292,f80]) ).

fof(f329,definition,
    ( spl0_17
  <=> equidistant(v,v,v,x) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f331,plain,
    ( ~ equidistant(v,v,v,x)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f338,plain,
    ( ~ equidistant(v,v,v,x)
    | u = v ),
    inference(resolution,[],[f296,f51]) ).

fof(f340,plain,
    ( spl0_1
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f338,f329,f115]) ).

fof(f346,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ between(X2,X0,v)
        | ~ equidistant(X2,v,X3,x)
        | ~ equidistant(X0,v,X1,x)
        | ~ equidistant(X0,v,X1,v)
        | ~ between(X3,X1,v)
        | X0 = X2
        | ~ equidistant(X2,X0,X3,X1) )
    | spl0_17 ),
    inference(resolution,[],[f331,f6]) ).

fof(f361,plain,
    ( equidistant(v,v,v,x)
    | ~ spl0_3 ),
    inference(superposition,[],[f79,f133]) ).

fof(f376,plain,
    ( $false
    | ~ spl0_3
    | spl0_17 ),
    inference(forward_subsumption_resolution,[],[f361,f331]) ).

fof(f377,plain,
    ( ~ spl0_3
    | spl0_17 ),
    inference(avatar_contradiction_clause,[],[f376]) ).

fof(f381,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,X1,v)
        | ~ equidistant(X0,v,X0,x)
        | ~ equidistant(X1,v,X1,x)
        | ~ equidistant(X1,v,X1,v)
        | X0 = X1
        | ~ equidistant(X0,X1,X0,X1) )
    | spl0_17 ),
    inference(factoring,[],[f346]) ).

fof(f382,plain,
    ( ! [X0,X1] :
        ( ~ between(X0,X1,v)
        | ~ equidistant(X0,v,X0,x)
        | ~ equidistant(X1,v,X1,x)
        | ~ equidistant(X1,v,X1,v)
        | X0 = X1 )
    | spl0_17 ),
    inference(forward_subsumption_resolution,[],[f381,f20]) ).

fof(f383,plain,
    ( ! [X0,X1] :
        ( ~ equidistant(X0,v,X0,x)
        | ~ between(X0,X1,v)
        | ~ equidistant(X1,v,X1,x)
        | X0 = X1 )
    | spl0_17 ),
    inference(forward_subsumption_resolution,[],[f382,f20]) ).

fof(f388,plain,
    ( between(u,w,reflection(v,w))
    | ~ spl0_10 ),
    inference(resolution,[],[f193,f33]) ).

fof(f391,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ equidistant(X1,v,X1,x)
        | ~ between(X0,X1,v)
        | X0 = X1
        | ~ equidistant(X2,X0,X3,X0)
        | ~ equidistant(X4,v,X5,x)
        | ~ equidistant(X2,v,X3,x)
        | ~ between(X4,X2,X0)
        | ~ between(X5,X3,X0)
        | X2 = X4
        | ~ equidistant(X4,X2,X5,X3) )
    | spl0_17 ),
    inference(resolution,[],[f383,f6]) ).

fof(f688,definition,
    ( spl0_23
  <=> u = w ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f690,plain,
    ( u = w
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f902,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ equidistant(X0,v,X0,x)
        | ~ between(X1,X0,v)
        | X0 = X1
        | ~ equidistant(X0,X1,X0,X1)
        | ~ equidistant(X2,v,X3,x)
        | ~ between(X2,X0,X1)
        | ~ between(X3,X0,X1)
        | X0 = X2
        | ~ equidistant(X2,X0,X3,X0) )
    | spl0_17 ),
    inference(factoring,[],[f391]) ).

fof(f906,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ equidistant(X0,v,X0,x)
        | ~ between(X1,X0,v)
        | X0 = X1
        | ~ equidistant(X2,v,X3,x)
        | ~ between(X2,X0,X1)
        | ~ between(X3,X0,X1)
        | X0 = X2
        | ~ equidistant(X2,X0,X3,X0) )
    | spl0_17 ),
    inference(forward_subsumption_resolution,[],[f902,f20]) ).

fof(f924,plain,
    ( ! [X2,X0,X1] :
        ( ~ between(X0,w,v)
        | w = X0
        | ~ equidistant(X1,v,X2,x)
        | ~ between(X1,w,X0)
        | ~ between(X2,w,X0)
        | w = X1
        | ~ equidistant(X1,w,X2,w) )
    | spl0_17 ),
    inference(resolution,[],[f906,f79]) ).

fof(f1022,plain,
    ( ! [X0,X1] :
        ( w = reflection(v,w)
        | ~ equidistant(X0,v,X1,x)
        | ~ between(X0,w,reflection(v,w))
        | ~ between(X1,w,reflection(v,w))
        | w = X0
        | ~ equidistant(X0,w,X1,w) )
    | spl0_17 ),
    inference(resolution,[],[f924,f91]) ).

fof(f1027,definition,
    ( spl0_33
  <=> ! [X0,X1] :
        ( ~ equidistant(X0,v,X1,x)
        | ~ equidistant(X0,w,X1,w)
        | w = X0
        | ~ between(X1,w,reflection(v,w))
        | ~ between(X0,w,reflection(v,w)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f1028,plain,
    ( ! [X0,X1] :
        ( ~ between(X1,w,reflection(v,w))
        | ~ equidistant(X0,w,X1,w)
        | w = X0
        | ~ equidistant(X0,v,X1,x)
        | ~ between(X0,w,reflection(v,w)) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f1027]) ).

fof(f1030,definition,
    ( spl0_34
  <=> w = reflection(v,w) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f1032,plain,
    ( w = reflection(v,w)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f1030]) ).

fof(f1033,plain,
    ( spl0_33
    | spl0_34
    | spl0_17 ),
    inference(avatar_split_clause,[],[f1022,f329,f1030,f1027]) ).

fof(f1042,plain,
    ( ! [X0] :
        ( ~ between(X0,w,reflection(v,w))
        | ~ equidistant(X0,w,X0,w)
        | w = X0
        | ~ equidistant(X0,v,X0,x) )
    | ~ spl0_33 ),
    inference(factoring,[],[f1028]) ).

fof(f1043,plain,
    ( ! [X0] :
        ( ~ between(X0,w,reflection(v,w))
        | w = X0
        | ~ equidistant(X0,v,X0,x) )
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f1042,f20]) ).

fof(f1155,plain,
    ( v = reflection(w,w)
    | ~ spl0_34 ),
    inference(superposition,[],[f50,f1032]) ).

fof(f1157,plain,
    ( v = w
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f1155,f38]) ).

fof(f1162,plain,
    ( $false
    | spl0_3
    | ~ spl0_34 ),
    inference(forward_subsumption_resolution,[],[f1157,f132]) ).

fof(f1163,plain,
    ( spl0_3
    | ~ spl0_34 ),
    inference(avatar_contradiction_clause,[],[f1162]) ).

fof(f1517,plain,
    ( u = w
    | ~ equidistant(u,v,u,x)
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(resolution,[],[f388,f1043]) ).

fof(f1558,plain,
    ( u = w
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[],[f1517,f78]) ).

fof(f1559,plain,
    ( spl0_23
    | ~ spl0_10
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1558,f1027,f192,f688]) ).

fof(f1568,plain,
    ( ~ between(u,u,v)
    | spl0_7
    | ~ spl0_23 ),
    inference(superposition,[],[f172,f690]) ).

fof(f1596,plain,
    ( $false
    | spl0_7
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f1568,f54]) ).

fof(f1597,plain,
    ( spl0_7
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f1596]) ).

cnf(s5,plain,
    ( spl0_1
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f173]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_10 ),
    inference(sat_conversion,[],[f194]) ).

cnf(s13,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f264]) ).

cnf(s17,plain,
    ( spl0_1
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s21,plain,
    ( ~ spl0_3
    | spl0_17 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s42,plain,
    ( spl0_17
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f1033]) ).

cnf(s49,plain,
    ( spl0_3
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f1163]) ).

cnf(s56,plain,
    ( ~ spl0_10
    | spl0_23
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f1559]) ).

cnf(s57,plain,
    ( spl0_7
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f1597]) ).

cnf(s63,plain,
    ~ spl0_17,
    inference(rat,[],[s17,s13]) ).

cnf(s66,plain,
    ~ spl0_3,
    inference(rat,[],[s21,s63]) ).

cnf(s67,plain,
    ~ spl0_34,
    inference(rat,[],[s49,s66]) ).

cnf(s69,plain,
    spl0_33,
    inference(rat,[],[s42,s63,s67]) ).

cnf(s72,plain,
    spl0_10,
    inference(rat,[],[s8,s66]) ).

cnf(s73,plain,
    spl0_23,
    inference(rat,[],[s56,s69,s72]) ).

cnf(s77,plain,
    spl0_7,
    inference(rat,[],[s57,s73]) ).

cnf(s80,plain,
    $false,
    inference(rat,[],[s5,s77,s13]) ).

fof(f1604,plain,
    $false,
    inference(avatar_sat_refutation,[],[s80]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO034-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n015.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 06:42:30 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  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
% 3.07/1.36  % (1291558)Input is clausal, will run a generic CNF schedule.
% 3.07/1.36  % (1291569)dis-21_1_sil=8000:lcm=predicate:random_seed=2737517359: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)
% 3.07/1.36  % (1291567)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2014505332:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.07/1.36  % (1291565)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1427235117:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.07/1.36  % (1291566)lrs+10_1_sil=8000:sp=occurrence:random_seed=2813918225:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.07/1.36  % (1291563)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=1695210583:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.07/1.36  % (1291564)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3707386884:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.07/1.36  % (1291568)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1705106555:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.07/1.36  % (1291569)Instruction limit reached! 
% 3.07/1.36  % (1291569)------------------------------
% 3.07/1.36  % (1291569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.36  % (1291569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.36  % (1291569)CaDiCaL version: 2.1.3
% 3.07/1.36  % (1291569)Termination reason: Instruction limit
% 3.07/1.36  % (1291569)Termination phase: Saturation
% 3.07/1.36  % (1291569)Time elapsed: 0.036 s
% 3.07/1.36  % (1291569)Peak memory usage: 89 MB
% 3.07/1.36  % (1291569)Instructions burned: 118 (million)
% 3.07/1.36  % (1291567)Instruction limit reached! 
% 3.07/1.36  % (1291567)------------------------------
% 3.07/1.36  % (1291567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.36  % (1291567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.36  % (1291567)CaDiCaL version: 2.1.3
% 3.07/1.36  % (1291567)Termination reason: Instruction limit
% 3.07/1.36  % (1291567)Termination phase: Saturation
% 3.07/1.36  % (1291567)Time elapsed: 0.063 s
% 3.07/1.36  % (1291567)Peak memory usage: 88 MB
% 3.07/1.36  % (1291567)Instructions burned: 116 (million)
% 3.07/1.36  % (1291566)Instruction limit reached! 
% 3.07/1.36  % (1291566)------------------------------
% 3.07/1.36  % (1291566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.36  % (1291566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.36  % (1291566)CaDiCaL version: 2.1.3
% 3.07/1.36  % (1291566)Termination reason: Instruction limit
% 3.07/1.36  % (1291566)Termination phase: Saturation
% 3.07/1.36  % (1291566)Time elapsed: 0.065 s
% 3.07/1.36  % (1291566)Peak memory usage: 88 MB
% 3.07/1.36  % (1291566)Instructions burned: 108 (million)
% 3.07/1.36  % (1291568)First to succeed.
% 3.07/1.36  % (1291568)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1291558"
% 3.07/1.36  % (1291577)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=1036737690:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.07/1.36  % (1291577)Instruction limit reached! 
% 3.07/1.36  % (1291577)------------------------------
% 3.07/1.36  % (1291577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.07/1.36  % (1291577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/1.36  % (1291577)CaDiCaL version: 2.1.3
% 3.07/1.36  % (1291577)Termination reason: Instruction limit
% 3.07/1.36  % (1291577)Termination phase: Saturation
% 3.07/1.36  % (1291577)Time elapsed: 0.048 s
% 3.07/1.36  % (1291577)Peak memory usage: 88 MB
% 3.07/1.36  % (1291577)Instructions burned: 145 (million)
% 3.07/1.36  % (1291579)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2436100325:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.07/1.36  % (1291578)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3799875378: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)
% 3.07/1.36  % (1291581)lrs+10_64_to=lpo:sil=8000:random_seed=3665101311:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.07/1.36  % (1291568)Refutation found. Thanks to Tanya!
% 3.07/1.36  % SZS status Unsatisfiable for theBenchmark
% 3.07/1.36  % SZS output start Proof for theBenchmark
% See solution above
% 4.15/1.55  % (1291568)------------------------------
% 4.15/1.55  % (1291568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.55  % (1291568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.55  % (1291568)CaDiCaL version: 2.1.3
% 4.15/1.55  % (1291568)Termination reason: Refutation
% 4.15/1.55  % (1291568)Time elapsed: 0.072 s
% 4.15/1.55  % (1291568)Peak memory usage: 90 MB
% 4.15/1.55  % (1291568)Instructions burned: 110 (million)
% 4.15/1.55  % (1291568)------------------------------
% 4.15/1.55  % (1291568)------------------------------
% 4.15/1.55  % (1291558)Success in time 0.505 s
% 4.15/1.55  % Vampire exiting
%------------------------------------------------------------------------------