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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO187+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 09:51:52 AM UTC 2026

% Result   : Theorem 2.60s 1.27s
% Output   : Refutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   82 (  24 unt;   8 def)
%            Number of atoms       :  228 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  235 (  89   ~; 108   |;  24   &)
%                                         (   8 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   79 (   0 sgn  71   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : ~ distinct_points(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( distinct_points(X0,X1)
     => ( apart_point_and_line(X2,line_connecting(X0,X1))
       => ( distinct_points(X2,X0)
          & distinct_points(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3] :
      ( ( distinct_points(X0,X1)
        & distinct_lines(X2,X3) )
     => ( apart_point_and_line(X0,X2)
        | apart_point_and_line(X0,X3)
        | apart_point_and_line(X1,X2)
        | apart_point_and_line(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( distinct_lines(X1,X2)
        | apart_point_and_line(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).

fof(f13,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( distinct_points(X0,X1)
        & distinct_points(X2,X3)
        & ~ apart_point_and_line(X0,line_connecting(X2,X3))
        & ~ apart_point_and_line(X1,line_connecting(X2,X3)) )
     => ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
        & ~ apart_point_and_line(X3,line_connecting(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( distinct_points(X0,X1)
          & distinct_points(X2,X3)
          & ~ apart_point_and_line(X0,line_connecting(X2,X3))
          & ~ apart_point_and_line(X1,line_connecting(X2,X3)) )
       => ( ~ apart_point_and_line(X2,line_connecting(X0,X1))
          & ~ apart_point_and_line(X3,line_connecting(X0,X1)) ) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f15,plain,
    ? [X0,X1,X2,X3] :
      ( ( apart_point_and_line(X2,line_connecting(X0,X1))
        | apart_point_and_line(X3,line_connecting(X0,X1)) )
      & distinct_points(X0,X1)
      & distinct_points(X2,X3)
      & ~ apart_point_and_line(X0,line_connecting(X2,X3))
      & ~ apart_point_and_line(X1,line_connecting(X2,X3)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f16,plain,
    ? [X0,X1,X2,X3] :
      ( ( apart_point_and_line(X2,line_connecting(X0,X1))
        | apart_point_and_line(X3,line_connecting(X0,X1)) )
      & distinct_points(X0,X1)
      & distinct_points(X2,X3)
      & ~ apart_point_and_line(X0,line_connecting(X2,X3))
      & ~ apart_point_and_line(X1,line_connecting(X2,X3)) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( ( distinct_points(X2,X0)
        & distinct_points(X2,X1) )
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ( distinct_points(X2,X0)
        & distinct_points(X2,X1) )
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(flattening,[],[f17]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3)
      | ~ distinct_points(X0,X1)
      | ~ distinct_lines(X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3] :
      ( apart_point_and_line(X0,X2)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3)
      | ~ distinct_points(X0,X1)
      | ~ distinct_lines(X2,X3) ),
    inference(flattening,[],[f21]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f25]) ).

fof(f34,plain,
    ( ( apart_point_and_line(sK2,line_connecting(sK0,sK1))
      | apart_point_and_line(sK3,line_connecting(sK0,sK1)) )
    & distinct_points(sK0,sK1)
    & distinct_points(sK2,sK3)
    & ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
    & ~ apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f16]) ).

fof(f35,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK2,sK3)),
    inference(cnf_transformation,[],[f34]) ).

fof(f36,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK2,sK3)),
    inference(cnf_transformation,[],[f34]) ).

fof(f37,plain,
    distinct_points(sK2,sK3),
    inference(cnf_transformation,[],[f34]) ).

fof(f38,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f39,plain,
    ( apart_point_and_line(sK2,line_connecting(sK0,sK1))
    | apart_point_and_line(sK3,line_connecting(sK0,sK1)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,X1)
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( distinct_points(X2,X0)
      | ~ apart_point_and_line(X2,line_connecting(X0,X1))
      | ~ distinct_points(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f43,plain,
    ! [X2,X3,X0,X1] :
      ( ~ distinct_lines(X2,X3)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3)
      | ~ distinct_points(X0,X1)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f45,plain,
    ! [X0] : ~ distinct_points(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f55,definition,
    ( spl4_1
  <=> apart_point_and_line(sK3,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f56,plain,
    ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f58,definition,
    ( spl4_2
  <=> apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f59,plain,
    ( apart_point_and_line(sK2,line_connecting(sK0,sK1))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f60,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f39,f58,f55]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ distinct_points(X1,X0)
      | ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
    inference(resolution,[],[f40,f45]) ).

fof(f68,plain,
    ~ apart_point_and_line(sK3,line_connecting(sK2,sK3)),
    inference(resolution,[],[f67,f37]) ).

fof(f69,plain,
    ~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
    inference(resolution,[],[f67,f38]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ distinct_points(X0,X1)
      | ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
    inference(resolution,[],[f41,f45]) ).

fof(f77,plain,
    ~ apart_point_and_line(sK2,line_connecting(sK2,sK3)),
    inference(resolution,[],[f73,f37]) ).

fof(f78,plain,
    ~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
    inference(resolution,[],[f73,f38]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ distinct_points(X0,X2)
      | apart_point_and_line(X2,X3)
      | apart_point_and_line(X2,X1)
      | apart_point_and_line(X0,X1)
      | apart_point_and_line(X0,X3)
      | apart_point_and_line(X4,X1)
      | ~ apart_point_and_line(X4,X3) ),
    inference(resolution,[],[f43,f46]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( apart_point_and_line(X2,X1)
      | apart_point_and_line(sK1,X1)
      | apart_point_and_line(sK0,X1)
      | apart_point_and_line(sK0,X0)
      | apart_point_and_line(sK1,X0)
      | ~ apart_point_and_line(X2,X0) ),
    inference(resolution,[],[f84,f38]) ).

fof(f152,plain,
    ! [X0] :
      ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
      | apart_point_and_line(sK0,line_connecting(sK2,sK3))
      | apart_point_and_line(sK0,X0)
      | apart_point_and_line(sK1,X0)
      | ~ apart_point_and_line(sK2,X0) ),
    inference(resolution,[],[f108,f77]) ).

fof(f153,plain,
    ! [X0] :
      ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
      | apart_point_and_line(sK0,line_connecting(sK2,sK3))
      | apart_point_and_line(sK0,X0)
      | apart_point_and_line(sK1,X0)
      | ~ apart_point_and_line(sK3,X0) ),
    inference(resolution,[],[f108,f68]) ).

fof(f156,definition,
    ( spl4_9
  <=> ! [X0] :
        ( apart_point_and_line(sK0,X0)
        | ~ apart_point_and_line(sK2,X0)
        | apart_point_and_line(sK1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).

fof(f157,plain,
    ( ! [X0] :
        ( ~ apart_point_and_line(sK2,X0)
        | apart_point_and_line(sK0,X0)
        | apart_point_and_line(sK1,X0) )
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f166,definition,
    ( spl4_12
  <=> ! [X0] :
        ( apart_point_and_line(sK0,X0)
        | ~ apart_point_and_line(sK3,X0)
        | apart_point_and_line(sK1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).

fof(f167,plain,
    ( ! [X0] :
        ( ~ apart_point_and_line(sK3,X0)
        | apart_point_and_line(sK0,X0)
        | apart_point_and_line(sK1,X0) )
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f169,definition,
    ( spl4_13
  <=> apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
    introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).

fof(f170,plain,
    ( apart_point_and_line(sK0,line_connecting(sK2,sK3))
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f172,definition,
    ( spl4_14
  <=> apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
    introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).

fof(f173,plain,
    ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f174,plain,
    ( spl4_12
    | spl4_13
    | spl4_14 ),
    inference(avatar_split_clause,[],[f153,f172,f169,f166]) ).

fof(f175,plain,
    ( spl4_9
    | spl4_13
    | spl4_14 ),
    inference(avatar_split_clause,[],[f152,f172,f169,f156]) ).

fof(f186,definition,
    ( spl4_15
  <=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).

fof(f187,plain,
    ( apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | ~ spl4_15 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f189,definition,
    ( spl4_16
  <=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).

fof(f190,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f192,plain,
    ( $false
    | ~ spl4_13 ),
    inference(resolution,[],[f170,f36]) ).

fof(f193,plain,
    ~ spl4_13,
    inference(avatar_contradiction_clause,[],[f192]) ).

fof(f194,plain,
    ( $false
    | ~ spl4_14 ),
    inference(resolution,[],[f173,f35]) ).

fof(f195,plain,
    ~ spl4_14,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f196,plain,
    ( $false
    | ~ spl4_15 ),
    inference(resolution,[],[f187,f69]) ).

fof(f197,plain,
    ~ spl4_15,
    inference(avatar_contradiction_clause,[],[f196]) ).

fof(f198,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | ~ spl4_2
    | ~ spl4_9 ),
    inference(resolution,[],[f157,f59]) ).

fof(f202,plain,
    ( spl4_15
    | spl4_16
    | ~ spl4_2
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f198,f156,f58,f189,f186]) ).

fof(f203,plain,
    ( $false
    | ~ spl4_16 ),
    inference(resolution,[],[f190,f78]) ).

fof(f204,plain,
    ~ spl4_16,
    inference(avatar_contradiction_clause,[],[f203]) ).

fof(f205,plain,
    ( apart_point_and_line(sK0,line_connecting(sK0,sK1))
    | apart_point_and_line(sK1,line_connecting(sK0,sK1))
    | ~ spl4_1
    | ~ spl4_12 ),
    inference(resolution,[],[f56,f167]) ).

fof(f206,plain,
    ( spl4_15
    | spl4_16
    | ~ spl4_1
    | ~ spl4_12 ),
    inference(avatar_split_clause,[],[f205,f166,f55,f189,f186]) ).

cnf(s1,plain,
    ( spl4_1
    | spl4_2 ),
    inference(sat_conversion,[],[f60]) ).

cnf(s6,plain,
    ( spl4_12
    | spl4_13
    | spl4_14 ),
    inference(sat_conversion,[],[f174]) ).

cnf(s7,plain,
    ( spl4_9
    | spl4_13
    | spl4_14 ),
    inference(sat_conversion,[],[f175]) ).

cnf(s9,plain,
    ~ spl4_13,
    inference(sat_conversion,[],[f193]) ).

cnf(s10,plain,
    ~ spl4_14,
    inference(sat_conversion,[],[f195]) ).

cnf(s11,plain,
    ~ spl4_15,
    inference(sat_conversion,[],[f197]) ).

cnf(s12,plain,
    ( ~ spl4_2
    | ~ spl4_9
    | spl4_15
    | spl4_16 ),
    inference(sat_conversion,[],[f202]) ).

cnf(s13,plain,
    ~ spl4_16,
    inference(sat_conversion,[],[f204]) ).

cnf(s14,plain,
    ( ~ spl4_1
    | ~ spl4_12
    | spl4_15
    | spl4_16 ),
    inference(sat_conversion,[],[f206]) ).

cnf(s15,plain,
    ( ~ spl4_2
    | ~ spl4_9
    | spl4_15 ),
    inference(rat,[],[s12,s13]) ).

cnf(s17,plain,
    spl4_9,
    inference(rat,[],[s7,s10,s9]) ).

cnf(s18,plain,
    ~ spl4_2,
    inference(rat,[],[s15,s11,s17]) ).

cnf(s19,plain,
    spl4_12,
    inference(rat,[],[s6,s10,s9]) ).

cnf(s20,plain,
    ~ spl4_1,
    inference(rat,[],[s14,s13,s11,s19]) ).

cnf(s21,plain,
    $false,
    inference(rat,[],[s1,s18,s20]) ).

fof(f207,plain,
    $false,
    inference(avatar_sat_refutation,[],[s21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO187+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 07:30:56 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  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
% 2.60/1.27  % (2494898)Detected formulas, will run a generic FOF schedule.
% 2.60/1.27  % (2494906)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1361487977:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.60/1.27  % (2494906)Instruction limit reached! 
% 2.60/1.27  % (2494906)------------------------------
% 2.60/1.27  % (2494906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.27  % (2494906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.27  % (2494906)CaDiCaL version: 2.1.3
% 2.60/1.27  % (2494906)Termination reason: Instruction limit
% 2.60/1.27  % (2494906)Termination phase: Saturation
% 2.60/1.27  % (2494906)Time elapsed: 0.030 s
% 2.60/1.27  % (2494906)Peak memory usage: 88 MB
% 2.60/1.27  % (2494906)Instructions burned: 109 (million)
% 2.60/1.27  % (2494904)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=672626935:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.60/1.27  % (2494903)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=3110683118:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.60/1.27  % (2494907)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4053543954:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.60/1.27  % (2494909)dis-21_1_sil=8000:lcm=predicate:random_seed=1447271668:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.60/1.27  % (2494908)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1722500171:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.60/1.27  % (2494905)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2640967401:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.60/1.27  % (2494909)First to succeed.
% 2.60/1.27  % (2494909)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2494898"
% 2.60/1.27  % (2494907)Instruction limit reached! 
% 2.60/1.27  % (2494907)------------------------------
% 2.60/1.27  % (2494907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.27  % (2494907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.27  % (2494907)CaDiCaL version: 2.1.3
% 2.60/1.27  % (2494907)Termination reason: Instruction limit
% 2.60/1.27  % (2494907)Termination phase: Saturation
% 2.60/1.27  % (2494907)Time elapsed: 0.051 s
% 2.60/1.27  % (2494907)Peak memory usage: 87 MB
% 2.60/1.27  % (2494907)Instructions burned: 122 (million)
% 2.60/1.27  % (2494912)lrs+10_1_sil=8000:sp=occurrence:random_seed=3785590886:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.60/1.27  % (2494908)Instruction limit reached! 
% 2.60/1.27  % (2494908)------------------------------
% 2.60/1.27  % (2494908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.27  % (2494908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.27  % (2494908)CaDiCaL version: 2.1.3
% 2.60/1.27  % (2494908)Termination reason: Instruction limit
% 2.60/1.27  % (2494908)Termination phase: Saturation
% 2.60/1.27  % (2494908)Time elapsed: 0.088 s
% 2.60/1.27  % (2494908)Peak memory usage: 89 MB
% 2.60/1.27  % (2494908)Instructions burned: 139 (million)
% 2.60/1.27  % (2494912)Instruction limit reached! 
% 2.60/1.27  % (2494912)------------------------------
% 2.60/1.27  % (2494912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.27  % (2494912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.27  % (2494912)CaDiCaL version: 2.1.3
% 2.60/1.27  % (2494912)Termination reason: Instruction limit
% 2.60/1.27  % (2494912)Termination phase: Saturation
% 2.60/1.27  % (2494912)Time elapsed: 0.085 s
% 2.60/1.27  % (2494912)Peak memory usage: 89 MB
% 2.60/1.27  % (2494912)Instructions burned: 286 (million)
% 2.60/1.27  % (2494918)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2972601938:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.60/1.27  % (2494918)Also succeeded, but the first one will report.
% 2.60/1.27  % (2494920)lrs+1011_1_sil=32000:sp=occurrence:random_seed=142698744:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.60/1.27  % (2494921)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2476684930:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 2.60/1.27  % (2494921)Also succeeded, but the first one will report.
% 2.60/1.27  % (2494909)Refutation found. Thanks to Tanya!
% 2.60/1.27  % SZS status Theorem for theBenchmark
% 2.60/1.27  % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.47  % (2494909)------------------------------
% 3.51/1.47  % (2494909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.47  % (2494909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.47  % (2494909)CaDiCaL version: 2.1.3
% 3.51/1.47  % (2494909)Termination reason: Refutation
% 3.51/1.47  % (2494909)Time elapsed: 0.005 s
% 3.51/1.47  % (2494909)Peak memory usage: 89 MB
% 3.51/1.47  % (2494909)Instructions burned: 6 (million)
% 3.51/1.47  % (2494909)------------------------------
% 3.51/1.47  % (2494909)------------------------------
% 3.51/1.47  % (2494898)Success in time 0.417 s
% 3.51/1.47  % Vampire exiting
%------------------------------------------------------------------------------