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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO230+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 09:52:08 AM UTC 2026

% Result   : Theorem 2.50s 1.28s
% Output   : Refutation 3.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   89 (  28 unt;  10 def)
%            Number of atoms       :  228 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  222 (  83   ~; 116   |;   8   &)
%                                         (  10 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  15 usr;  11 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   77 (   0 sgn  75   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X1)
     => ( unequally_directed_lines(X0,X2)
        | unequally_directed_lines(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,X1)
        & unequally_directed_lines(X0,reverse_line(X1)) )
     => ( left_convergent_lines(X0,X1)
        | left_convergent_lines(X0,reverse_line(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).

fof(f15,axiom,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,X1)
        | left_apart_point(X0,reverse_line(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).

fof(f16,axiom,
    ! [X0,X1] :
      ~ ( left_convergent_lines(X0,X1)
        | left_convergent_lines(X0,reverse_line(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).

fof(f25,axiom,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco9) ).

fof(f27,axiom,
    ! [X0,X1,X2,X3] :
      ( ( distinct_points(X0,X1)
        & distinct_lines(X2,X3) )
     => ( left_apart_point(X0,X2)
        | left_apart_point(X1,X2)
        | left_apart_point(X0,X3)
        | left_apart_point(X1,X3)
        | left_apart_point(X0,reverse_line(X2))
        | left_apart_point(X1,reverse_line(X2))
        | left_apart_point(X0,reverse_line(X3))
        | left_apart_point(X1,reverse_line(X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oaguc1) ).

fof(f32,conjecture,
    ! [X0,X1] :
      ( distinct_points(X0,X1)
     => ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
        & ~ unequally_directed_lines(line_connecting(X1,X0),line_connecting(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X1] :
        ( distinct_points(X0,X1)
       => ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
          & ~ unequally_directed_lines(line_connecting(X1,X0),line_connecting(X0,X1)) ) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

fof(f35,plain,
    ? [X0,X1] :
      ( ( distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
        | unequally_directed_lines(line_connecting(X1,X0),line_connecting(X0,X1)) )
      & distinct_points(X0,X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,X1)
      | left_convergent_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,X1)
      | left_convergent_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(flattening,[],[f45]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X1,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X1,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f51]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3] :
      ( left_apart_point(X0,X2)
      | left_apart_point(X1,X2)
      | left_apart_point(X0,X3)
      | left_apart_point(X1,X3)
      | left_apart_point(X0,reverse_line(X2))
      | left_apart_point(X1,reverse_line(X2))
      | left_apart_point(X0,reverse_line(X3))
      | left_apart_point(X1,reverse_line(X3))
      | ~ distinct_points(X0,X1)
      | ~ distinct_lines(X2,X3) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f56,plain,
    ! [X0,X1,X2,X3] :
      ( left_apart_point(X0,X2)
      | left_apart_point(X1,X2)
      | left_apart_point(X0,X3)
      | left_apart_point(X1,X3)
      | left_apart_point(X0,reverse_line(X2))
      | left_apart_point(X1,reverse_line(X2))
      | left_apart_point(X0,reverse_line(X3))
      | left_apart_point(X1,reverse_line(X3))
      | ~ distinct_points(X0,X1)
      | ~ distinct_lines(X2,X3) ),
    inference(flattening,[],[f55]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,X1)
      & ~ left_apart_point(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,X1)
      & ~ left_convergent_lines(X0,reverse_line(X1)) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f71,plain,
    ( ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
      | unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) )
    & distinct_points(sK0,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f35]) ).

fof(f72,plain,
    distinct_points(sK0,sK1),
    inference(cnf_transformation,[],[f71]) ).

fof(f73,plain,
    ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
    | unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f75,plain,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(cnf_transformation,[],[f25]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f88,plain,
    ! [X2,X0,X1] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f91,plain,
    ! [X2,X3,X0,X1] :
      ( ~ distinct_lines(X2,X3)
      | left_apart_point(X1,X2)
      | left_apart_point(X0,X3)
      | left_apart_point(X1,X3)
      | left_apart_point(X0,reverse_line(X2))
      | left_apart_point(X1,reverse_line(X2))
      | left_apart_point(X0,reverse_line(X3))
      | left_apart_point(X1,reverse_line(X3))
      | ~ distinct_points(X0,X1)
      | left_apart_point(X0,X2) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f98,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f61]) ).

fof(f102,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f63]) ).

fof(f110,definition,
    ( spl2_1
  <=> unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

fof(f111,plain,
    ( unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f113,definition,
    ( spl2_2
  <=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

fof(f114,plain,
    ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f115,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f73,f113,f110]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(line_connecting(X1,X2)))
      | ~ unequally_directed_lines(X0,line_connecting(X2,X1)) ),
    inference(resolution,[],[f88,f75]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1)) ),
    inference(resolution,[],[f82,f102]) ).

fof(f160,plain,
    ( ! [X0,X1] :
        ( ~ distinct_points(X1,X0)
        | left_apart_point(X1,line_connecting(sK1,sK0))
        | left_apart_point(X0,line_connecting(sK1,sK0))
        | left_apart_point(X1,reverse_line(line_connecting(sK0,sK1)))
        | left_apart_point(X0,reverse_line(line_connecting(sK0,sK1)))
        | left_apart_point(X1,reverse_line(line_connecting(sK1,sK0)))
        | left_apart_point(X0,reverse_line(line_connecting(sK1,sK0)))
        | left_apart_point(X0,line_connecting(sK0,sK1))
        | left_apart_point(X1,line_connecting(sK0,sK1)) )
    | ~ spl2_2 ),
    inference(resolution,[],[f91,f114]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(resolution,[],[f142,f102]) ).

fof(f164,plain,
    ( left_apart_point(sK0,line_connecting(sK1,sK0))
    | left_apart_point(sK1,line_connecting(sK1,sK0))
    | left_apart_point(sK0,reverse_line(line_connecting(sK0,sK1)))
    | left_apart_point(sK1,reverse_line(line_connecting(sK0,sK1)))
    | left_apart_point(sK0,reverse_line(line_connecting(sK1,sK0)))
    | left_apart_point(sK1,reverse_line(line_connecting(sK1,sK0)))
    | left_apart_point(sK1,line_connecting(sK0,sK1))
    | left_apart_point(sK0,line_connecting(sK0,sK1))
    | ~ spl2_2 ),
    inference(resolution,[],[f160,f72]) ).

fof(f167,definition,
    ( spl2_3
  <=> left_apart_point(sK0,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).

fof(f168,plain,
    ( left_apart_point(sK0,line_connecting(sK0,sK1))
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f170,definition,
    ( spl2_4
  <=> left_apart_point(sK1,line_connecting(sK0,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

fof(f171,plain,
    ( left_apart_point(sK1,line_connecting(sK0,sK1))
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f173,definition,
    ( spl2_5
  <=> left_apart_point(sK1,reverse_line(line_connecting(sK1,sK0))) ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

fof(f174,plain,
    ( left_apart_point(sK1,reverse_line(line_connecting(sK1,sK0)))
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f176,definition,
    ( spl2_6
  <=> left_apart_point(sK0,reverse_line(line_connecting(sK1,sK0))) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

fof(f177,plain,
    ( left_apart_point(sK0,reverse_line(line_connecting(sK1,sK0)))
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f179,definition,
    ( spl2_7
  <=> left_apart_point(sK1,reverse_line(line_connecting(sK0,sK1))) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

fof(f180,plain,
    ( left_apart_point(sK1,reverse_line(line_connecting(sK0,sK1)))
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f182,definition,
    ( spl2_8
  <=> left_apart_point(sK0,reverse_line(line_connecting(sK0,sK1))) ),
    introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).

fof(f183,plain,
    ( left_apart_point(sK0,reverse_line(line_connecting(sK0,sK1)))
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f185,definition,
    ( spl2_9
  <=> left_apart_point(sK1,line_connecting(sK1,sK0)) ),
    introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).

fof(f186,plain,
    ( left_apart_point(sK1,line_connecting(sK1,sK0))
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f188,definition,
    ( spl2_10
  <=> left_apart_point(sK0,line_connecting(sK1,sK0)) ),
    introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).

fof(f189,plain,
    ( left_apart_point(sK0,line_connecting(sK1,sK0))
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f190,plain,
    ( spl2_3
    | spl2_4
    | spl2_5
    | spl2_6
    | spl2_7
    | spl2_8
    | spl2_9
    | spl2_10
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f164,f113,f188,f185,f182,f179,f176,f173,f170,f167]) ).

fof(f191,plain,
    ( $false
    | ~ spl2_3 ),
    inference(resolution,[],[f168,f98]) ).

fof(f192,plain,
    ~ spl2_3,
    inference(avatar_contradiction_clause,[],[f191]) ).

fof(f193,plain,
    ( $false
    | ~ spl2_4 ),
    inference(resolution,[],[f171,f98]) ).

fof(f194,plain,
    ~ spl2_4,
    inference(avatar_contradiction_clause,[],[f193]) ).

fof(f195,plain,
    ( $false
    | ~ spl2_5 ),
    inference(resolution,[],[f174,f98]) ).

fof(f196,plain,
    ~ spl2_5,
    inference(avatar_contradiction_clause,[],[f195]) ).

fof(f197,plain,
    ( $false
    | ~ spl2_6 ),
    inference(resolution,[],[f177,f98]) ).

fof(f198,plain,
    ~ spl2_6,
    inference(avatar_contradiction_clause,[],[f197]) ).

fof(f199,plain,
    ( $false
    | ~ spl2_7 ),
    inference(resolution,[],[f180,f98]) ).

fof(f200,plain,
    ~ spl2_7,
    inference(avatar_contradiction_clause,[],[f199]) ).

fof(f201,plain,
    ( $false
    | ~ spl2_8 ),
    inference(resolution,[],[f183,f98]) ).

fof(f202,plain,
    ~ spl2_8,
    inference(avatar_contradiction_clause,[],[f201]) ).

fof(f203,plain,
    ( $false
    | ~ spl2_9 ),
    inference(resolution,[],[f186,f98]) ).

fof(f204,plain,
    ~ spl2_9,
    inference(avatar_contradiction_clause,[],[f203]) ).

fof(f205,plain,
    ( $false
    | ~ spl2_10 ),
    inference(resolution,[],[f189,f98]) ).

fof(f206,plain,
    ~ spl2_10,
    inference(avatar_contradiction_clause,[],[f205]) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
      | ~ unequally_directed_lines(X0,line_connecting(X2,X1)) ),
    inference(resolution,[],[f163,f118]) ).

fof(f219,plain,
    ! [X0,X1] : ~ unequally_directed_lines(X0,line_connecting(X1,X1)),
    inference(factoring,[],[f213]) ).

fof(f226,plain,
    ! [X2,X0,X1] :
      ( unequally_directed_lines(X0,line_connecting(X1,X1))
      | ~ unequally_directed_lines(X0,X2) ),
    inference(resolution,[],[f219,f88]) ).

fof(f231,plain,
    ! [X0,X1] : ~ unequally_directed_lines(X0,X1),
    inference(resolution,[],[f226,f219]) ).

fof(f240,plain,
    ( $false
    | ~ spl2_1 ),
    inference(resolution,[],[f231,f111]) ).

fof(f242,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f240]) ).

cnf(s1,plain,
    ( spl2_1
    | spl2_2 ),
    inference(sat_conversion,[],[f115]) ).

cnf(s2,plain,
    ( ~ spl2_2
    | spl2_3
    | spl2_4
    | spl2_5
    | spl2_6
    | spl2_7
    | spl2_8
    | spl2_9
    | spl2_10 ),
    inference(sat_conversion,[],[f190]) ).

cnf(s3,plain,
    ~ spl2_3,
    inference(sat_conversion,[],[f192]) ).

cnf(s4,plain,
    ~ spl2_4,
    inference(sat_conversion,[],[f194]) ).

cnf(s5,plain,
    ~ spl2_5,
    inference(sat_conversion,[],[f196]) ).

cnf(s6,plain,
    ~ spl2_6,
    inference(sat_conversion,[],[f198]) ).

cnf(s7,plain,
    ~ spl2_7,
    inference(sat_conversion,[],[f200]) ).

cnf(s8,plain,
    ~ spl2_8,
    inference(sat_conversion,[],[f202]) ).

cnf(s9,plain,
    ~ spl2_9,
    inference(sat_conversion,[],[f204]) ).

cnf(s10,plain,
    ~ spl2_10,
    inference(sat_conversion,[],[f206]) ).

cnf(s11,plain,
    ~ spl2_1,
    inference(sat_conversion,[],[f242]) ).

cnf(s12,plain,
    ~ spl2_2,
    inference(rat,[],[s2,s10,s9,s8,s7,s6,s5,s4,s3]) ).

cnf(s13,plain,
    $false,
    inference(rat,[],[s1,s12,s11]) ).

fof(f243,plain,
    $false,
    inference(avatar_sat_refutation,[],[s13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO230+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n018.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 07:48:38 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 2.50/1.28  % (2001481)Detected formulas, will run a generic FOF schedule.
% 2.50/1.28  % (2001490)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3941704323:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.50/1.28  % (2001490)Instruction limit reached! 
% 2.50/1.28  % (2001490)------------------------------
% 2.50/1.28  % (2001490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (2001490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (2001490)CaDiCaL version: 2.1.3
% 2.50/1.28  % (2001490)Termination reason: Instruction limit
% 2.50/1.28  % (2001490)Termination phase: Saturation
% 2.50/1.28  % (2001490)Time elapsed: 0.036 s
% 2.50/1.28  % (2001490)Peak memory usage: 87 MB
% 2.50/1.28  % (2001490)Instructions burned: 120 (million)
% 2.50/1.28  % (2001491)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2004417903:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.50/1.28  % (2001489)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2311689203:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.50/1.28  % (2001488)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=2313482946:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.50/1.28  % (2001486)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=1573365102:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.50/1.28  % (2001487)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=451215113:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.50/1.28  % (2001492)dis-21_1_sil=8000:lcm=predicate:random_seed=141532489: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)
% 2.50/1.28  % (2001492)First to succeed.
% 2.50/1.28  % (2001492)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2001481"
% 2.50/1.28  % (2001491)Instruction limit reached! 
% 2.50/1.28  % (2001491)------------------------------
% 2.50/1.28  % (2001491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (2001491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (2001491)CaDiCaL version: 2.1.3
% 2.50/1.28  % (2001491)Termination reason: Instruction limit
% 2.50/1.28  % (2001491)Termination phase: Saturation
% 2.50/1.28  % (2001491)Time elapsed: 0.048 s
% 2.50/1.28  % (2001491)Peak memory usage: 89 MB
% 2.50/1.28  % (2001491)Instructions burned: 140 (million)
% 2.50/1.28  % (2001489)Instruction limit reached! 
% 2.50/1.28  % (2001489)------------------------------
% 2.50/1.28  % (2001489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (2001489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (2001489)CaDiCaL version: 2.1.3
% 2.50/1.28  % (2001489)Termination reason: Instruction limit
% 2.50/1.28  % (2001489)Termination phase: Saturation
% 2.50/1.28  % (2001489)Time elapsed: 0.056 s
% 2.50/1.28  % (2001489)Peak memory usage: 88 MB
% 2.50/1.28  % (2001489)Instructions burned: 110 (million)
% 2.50/1.28  % (2001494)lrs+10_1_sil=8000:sp=occurrence:random_seed=1955355706:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.50/1.28  % (2001501)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1299441779:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.50/1.28  % (2001501)Instruction limit reached! 
% 2.50/1.28  % (2001501)------------------------------
% 2.50/1.28  % (2001501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (2001501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (2001501)CaDiCaL version: 2.1.3
% 2.50/1.28  % (2001501)Termination reason: Instruction limit
% 2.50/1.28  % (2001501)Termination phase: Saturation
% 2.50/1.28  % (2001501)Time elapsed: 0.040 s
% 2.50/1.28  % (2001501)Peak memory usage: 89 MB
% 2.50/1.28  % (2001501)Instructions burned: 158 (million)
% 2.50/1.28  % (2001502)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1761762303:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.50/1.28  % (2001505)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=3147692334:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 2.50/1.28  % (2001492)Refutation found. Thanks to Tanya!
% 2.50/1.28  % SZS status Theorem for theBenchmark
% 2.50/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.37  % (2001492)------------------------------
% 3.44/1.37  % (2001492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.37  % (2001492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.37  % (2001492)CaDiCaL version: 2.1.3
% 3.44/1.37  % (2001492)Termination reason: Refutation
% 3.44/1.37  % (2001492)Time elapsed: 0.005 s
% 3.44/1.37  % (2001492)Peak memory usage: 89 MB
% 3.44/1.37  % (2001492)Instructions burned: 6 (million)
% 3.44/1.37  % (2001492)------------------------------
% 3.44/1.37  % (2001492)------------------------------
% 3.44/1.37  % (2001481)Success in time 0.419 s
% 3.44/1.37  % Vampire exiting
%------------------------------------------------------------------------------