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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO624+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 09:53:05 AM UTC 2026

% Result   : Theorem 6.38s 1.93s
% Output   : Refutation 8.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   71 (  11 unt;   2 def)
%            Number of atoms       :  205 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  195 (  61   ~;  58   |;  62   &)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  228 (   0 sgn 208   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X0,X1,X2,X3)
        & perp(X2,X3,X4,X5) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD16) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).

fof(f42,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & ~ coll(X2,X3,X0) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & coll(X2,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( perp(X3,X2,X0,X1)
        & coll(X3,X0,X1)
        & perp(X5,X2,X0,X4)
        & coll(X5,X0,X4)
        & coll(X2,X3,X6)
        & cong(X2,X3,X2,X6)
        & coll(X2,X5,X7)
        & cong(X2,X5,X2,X7)
        & coll(X8,X2,X3)
        & coll(X8,X0,X4)
        & coll(X9,X0,X1)
        & coll(X9,X2,X5) )
     => cyclic(X0,X6,X7,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110988) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ( perp(X3,X2,X0,X1)
          & coll(X3,X0,X1)
          & perp(X5,X2,X0,X4)
          & coll(X5,X0,X4)
          & coll(X2,X3,X6)
          & cong(X2,X3,X2,X6)
          & coll(X2,X5,X7)
          & cong(X2,X5,X2,X7)
          & coll(X8,X2,X3)
          & coll(X8,X0,X4)
          & coll(X9,X0,X1)
          & coll(X9,X2,X5) )
       => cyclic(X0,X6,X7,X9) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f97,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ cyclic(X0,X6,X7,X9)
      & perp(X3,X2,X0,X1)
      & coll(X3,X0,X1)
      & perp(X5,X2,X0,X4)
      & coll(X5,X0,X4)
      & coll(X2,X3,X6)
      & cong(X2,X3,X2,X6)
      & coll(X2,X5,X7)
      & cong(X2,X5,X2,X7)
      & coll(X8,X2,X3)
      & coll(X8,X0,X4)
      & coll(X9,X0,X1)
      & coll(X9,X2,X5) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f98,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ cyclic(X0,X6,X7,X9)
      & perp(X3,X2,X0,X1)
      & coll(X3,X0,X1)
      & perp(X5,X2,X0,X4)
      & coll(X5,X0,X4)
      & coll(X2,X3,X6)
      & cong(X2,X3,X2,X6)
      & coll(X2,X5,X7)
      & cong(X2,X5,X2,X7)
      & coll(X8,X2,X3)
      & coll(X8,X0,X4)
      & coll(X9,X0,X1)
      & coll(X9,X2,X5) ),
    inference(flattening,[],[f97]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f138,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f139,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(flattening,[],[f138]) ).

fof(f140,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f141,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(flattening,[],[f140]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f143]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f147,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f167,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f172,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f171]) ).

fof(f177,plain,
    ( ~ cyclic(sK0,sK6,sK7,sK9)
    & perp(sK3,sK2,sK0,sK1)
    & coll(sK3,sK0,sK1)
    & perp(sK5,sK2,sK0,sK4)
    & coll(sK5,sK0,sK4)
    & coll(sK2,sK3,sK6)
    & cong(sK2,sK3,sK2,sK6)
    & coll(sK2,sK5,sK7)
    & cong(sK2,sK5,sK2,sK7)
    & coll(sK8,sK2,sK3)
    & coll(sK8,sK0,sK4)
    & coll(sK9,sK0,sK1)
    & coll(sK9,sK2,sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9)],[f98]) ).

fof(f197,plain,
    perp(sK5,sK2,sK0,sK4),
    inference(cnf_transformation,[],[f177]) ).

fof(f200,plain,
    ~ cyclic(sK0,sK6,sK7,sK9),
    inference(cnf_transformation,[],[f177]) ).

fof(f215,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f234,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f235,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f237,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f238,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f239,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f240,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f245,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f256,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f259,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK5,sK2)
      | para(X0,X1,sK0,sK4) ),
    inference(resolution,[],[f259,f197]) ).

fof(f269,plain,
    perp(sK0,sK4,sK5,sK2),
    inference(resolution,[],[f215,f197]) ).

fof(f287,plain,
    para(sK0,sK4,sK0,sK4),
    inference(resolution,[],[f267,f269]) ).

fof(f288,plain,
    ! [X0,X1] : eqangle(sK0,sK4,X0,X1,sK0,sK4,X0,X1),
    inference(resolution,[],[f287,f256]) ).

fof(f293,plain,
    ! [X0] :
      ( cyclic(sK4,X0,sK0,sK0)
      | coll(sK0,sK0,sK4) ),
    inference(resolution,[],[f288,f235]) ).

fof(f297,plain,
    ! [X0,X1] : eqangle(X0,X1,sK0,sK4,X0,X1,sK0,sK4),
    inference(resolution,[],[f288,f245]) ).

fof(f301,definition,
    ( spl21_1
  <=> coll(sK0,sK0,sK4) ),
    introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).

fof(f302,plain,
    ( coll(sK0,sK0,sK4)
    | ~ spl21_1 ),
    inference(avatar_component_clause,[],[f301]) ).

fof(f304,definition,
    ( spl21_2
  <=> ! [X0] : cyclic(sK4,X0,sK0,sK0) ),
    introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).

fof(f305,plain,
    ( ! [X0] : cyclic(sK4,X0,sK0,sK0)
    | ~ spl21_2 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f306,plain,
    ( spl21_1
    | spl21_2 ),
    inference(avatar_split_clause,[],[f293,f304,f301]) ).

fof(f311,plain,
    ( ! [X0,X1] :
        ( ~ cyclic(sK4,X0,sK0,X1)
        | cyclic(X0,sK0,X1,sK0) )
    | ~ spl21_2 ),
    inference(resolution,[],[f305,f237]) ).

fof(f322,plain,
    ( ! [X0] : cyclic(X0,sK0,sK0,sK0)
    | ~ spl21_2 ),
    inference(resolution,[],[f311,f305]) ).

fof(f328,plain,
    ( ! [X0] : cyclic(sK0,X0,sK0,sK0)
    | ~ spl21_2 ),
    inference(resolution,[],[f322,f238]) ).

fof(f333,plain,
    ( ! [X0] : cyclic(sK0,sK0,X0,sK0)
    | ~ spl21_2 ),
    inference(resolution,[],[f328,f239]) ).

fof(f337,plain,
    ( ! [X0] : cyclic(sK0,sK0,sK0,X0)
    | ~ spl21_2 ),
    inference(resolution,[],[f333,f240]) ).

fof(f345,plain,
    ( ! [X0,X1] :
        ( ~ cyclic(sK0,sK0,sK0,X0)
        | cyclic(sK0,sK0,X0,X1) )
    | ~ spl21_2 ),
    inference(resolution,[],[f337,f237]) ).

fof(f346,plain,
    ( ! [X0,X1] : cyclic(sK0,sK0,X0,X1)
    | ~ spl21_2 ),
    inference(forward_subsumption_resolution,[],[f345,f337]) ).

fof(f348,plain,
    ( $false
    | ~ spl21_2 ),
    inference(unit_resulting_resolution,[],[f237,f200,f346,f346]) ).

fof(f355,plain,
    ~ spl21_2,
    inference(avatar_contradiction_clause,[],[f348]) ).

fof(f357,plain,
    ( ! [X0] :
        ( ~ eqangle(sK0,X0,sK0,sK4,sK0,X0,sK0,sK4)
        | cyclic(X0,sK4,sK0,sK0) )
    | ~ spl21_1 ),
    inference(resolution,[],[f302,f234]) ).

fof(f358,plain,
    ( ! [X0] : cyclic(X0,sK4,sK0,sK0)
    | ~ spl21_1 ),
    inference(forward_subsumption_resolution,[],[f357,f297]) ).

fof(f362,plain,
    ( ! [X0] : cyclic(sK4,X0,sK0,sK0)
    | ~ spl21_1 ),
    inference(resolution,[],[f358,f238]) ).

fof(f364,plain,
    ( spl21_2
    | ~ spl21_1 ),
    inference(avatar_split_clause,[],[f362,f301,f304]) ).

cnf(s1,plain,
    ( spl21_1
    | spl21_2 ),
    inference(sat_conversion,[],[f306]) ).

cnf(s3,plain,
    ~ spl21_2,
    inference(sat_conversion,[],[f355]) ).

cnf(s4,plain,
    ( ~ spl21_1
    | spl21_2 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s5,plain,
    ~ spl21_1,
    inference(rat,[],[s4,s3]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s1,s3,s5]) ).

fof(f365,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO624+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n014.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 08:39:46 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 6.38/1.93  % (507551)Detected formulas, will run a generic FOF schedule.
% 6.38/1.93  % (507560)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2479196481:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.38/1.93  % (507559)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4107269480:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.38/1.93  % (507556)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=3499686003:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.38/1.93  % (507558)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=1244498826:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.38/1.93  % (507557)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=3616559846:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.38/1.93  % (507560)Instruction limit reached! 
% 6.38/1.93  % (507560)------------------------------
% 6.38/1.93  % (507560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507560)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507560)Termination reason: Instruction limit
% 6.38/1.93  % (507560)Termination phase: Saturation
% 6.38/1.93  % (507560)Time elapsed: 0.036 s
% 6.38/1.93  % (507560)Peak memory usage: 88 MB
% 6.38/1.93  % (507560)Instructions burned: 120 (million)
% 6.38/1.93  % (507562)dis-21_1_sil=8000:lcm=predicate:random_seed=529107590: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)
% 6.38/1.93  % (507561)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=309932451:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.38/1.93  % (507559)Instruction limit reached! 
% 6.38/1.93  % (507559)------------------------------
% 6.38/1.93  % (507559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507559)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507559)Termination reason: Instruction limit
% 6.38/1.93  % (507559)Termination phase: Saturation
% 6.38/1.93  % (507559)Time elapsed: 0.066 s
% 6.38/1.93  % (507559)Peak memory usage: 89 MB
% 6.38/1.93  % (507559)Instructions burned: 109 (million)
% 6.38/1.93  % (507562)Instruction limit reached! 
% 6.38/1.93  % (507562)------------------------------
% 6.38/1.93  % (507562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507562)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507562)Termination reason: Instruction limit
% 6.38/1.93  % (507562)Termination phase: Saturation
% 6.38/1.93  % (507562)Time elapsed: 0.078 s
% 6.38/1.93  % (507562)Peak memory usage: 89 MB
% 6.38/1.93  % (507562)Instructions burned: 129 (million)
% 6.38/1.93  % (507561)Instruction limit reached! 
% 6.38/1.93  % (507561)------------------------------
% 6.38/1.93  % (507561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507561)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507561)Termination reason: Instruction limit
% 6.38/1.93  % (507561)Termination phase: Saturation
% 6.38/1.93  % (507561)Time elapsed: 0.090 s
% 6.38/1.93  % (507561)Peak memory usage: 90 MB
% 6.38/1.93  % (507561)Instructions burned: 139 (million)
% 6.38/1.93  % (507569)lrs+10_1_sil=8000:sp=occurrence:random_seed=1252484940:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.38/1.93  % (507571)lrs+10_1_sil=32000:urr=on:br=off:random_seed=992583499:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.38/1.93  % (507572)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3028844653:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.38/1.93  % (507569)Instruction limit reached! 
% 6.38/1.93  % (507569)------------------------------
% 6.38/1.93  % (507569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507569)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507569)Termination reason: Instruction limit
% 6.38/1.93  % (507569)Termination phase: Saturation
% 6.38/1.93  % (507569)Time elapsed: 0.099 s
% 6.38/1.93  % (507569)Peak memory usage: 92 MB
% 6.38/1.93  % (507569)Instructions burned: 287 (million)
% 6.38/1.93  % (507573)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=3709134989:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.38/1.93  % (507571)Instruction limit reached! 
% 6.38/1.93  % (507571)------------------------------
% 6.38/1.93  % (507571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507571)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507571)Termination reason: Instruction limit
% 6.38/1.93  % (507571)Termination phase: Saturation
% 6.38/1.93  % (507571)Time elapsed: 0.082 s
% 6.38/1.93  % (507571)Peak memory usage: 89 MB
% 6.38/1.93  % (507571)Instructions burned: 159 (million)
% 6.38/1.93  % (507577)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=706523295:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.38/1.93  % (507573)Instruction limit reached! 
% 6.38/1.93  % (507573)------------------------------
% 6.38/1.93  % (507573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507573)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507573)Termination reason: Instruction limit
% 6.38/1.93  % (507573)Termination phase: Saturation
% 6.38/1.93  % (507573)Time elapsed: 0.139 s
% 6.38/1.93  % (507573)Peak memory usage: 91 MB
% 6.38/1.93  % (507573)Instructions burned: 248 (million)
% 6.38/1.93  % (507572)Instruction limit reached! 
% 6.38/1.93  % (507572)------------------------------
% 6.38/1.93  % (507572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507572)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507572)Termination reason: Instruction limit
% 6.38/1.93  % (507572)Termination phase: Saturation
% 6.38/1.93  % (507572)Time elapsed: 0.189 s
% 6.38/1.93  % (507572)Peak memory usage: 91 MB
% 6.38/1.93  % (507572)Instructions burned: 325 (million)
% 6.38/1.93  % (507577)Instruction limit reached! 
% 6.38/1.93  % (507577)------------------------------
% 6.38/1.93  % (507577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507577)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507577)Termination reason: Instruction limit
% 6.38/1.93  % (507577)Termination phase: Saturation
% 6.38/1.93  % (507577)Time elapsed: 0.086 s
% 6.38/1.93  % (507577)Peak memory usage: 89 MB
% 6.38/1.93  % (507577)Instructions burned: 297 (million)
% 6.38/1.93  % (507579)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=863510745:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.38/1.93  % (507581)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3145423448:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.38/1.93  % (507584)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=973860450:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.38/1.93  % (507582)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4160032707:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.38/1.93  % (507584)Instruction limit reached! 
% 6.38/1.93  % (507584)------------------------------
% 6.38/1.93  % (507584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507584)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507584)Termination reason: Instruction limit
% 6.38/1.93  % (507584)Termination phase: Saturation
% 6.38/1.93  % (507584)Time elapsed: 0.033 s
% 6.38/1.93  % (507584)Peak memory usage: 89 MB
% 6.38/1.93  % (507584)Instructions burned: 114 (million)
% 6.38/1.93  % (507581)Instruction limit reached! 
% 6.38/1.93  % (507581)------------------------------
% 6.38/1.93  % (507581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507581)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507581)Termination reason: Instruction limit
% 6.38/1.93  % (507581)Termination phase: Saturation
% 6.38/1.93  % (507581)Time elapsed: 0.062 s
% 6.38/1.93  % (507581)Peak memory usage: 89 MB
% 6.38/1.93  % (507581)Instructions burned: 114 (million)
% 6.38/1.93  % (507582)Instruction limit reached! 
% 6.38/1.93  % (507582)------------------------------
% 6.38/1.93  % (507582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.38/1.93  % (507582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.93  % (507582)CaDiCaL version: 2.1.3
% 6.38/1.93  % (507582)Termination reason: Instruction limit
% 6.38/1.93  % (507582)Termination phase: Saturation
% 6.38/1.93  % (507582)Time elapsed: 0.070 s
% 6.38/1.93  % (507582)Peak memory usage: 89 MB
% 6.38/1.93  % (507582)Instructions burned: 128 (million)
% 6.38/1.93  % (507557)First to succeed.
% 6.38/1.93  % (507557)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-507551"
% 6.38/1.93  % (507556)Also succeeded, but the first one will report.
% 6.38/1.93  % (507588)lrs+10_1_sil=8000:sp=occurrence:random_seed=417453698:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.38/1.93  % (507589)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=596283861:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.38/1.93  % (507590)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2901074195:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.38/1.93  % (507588)Also succeeded, but the first one will report.
% 6.38/1.93  % (507557)Refutation found. Thanks to Tanya!
% 6.38/1.93  % SZS status Theorem for theBenchmark
% 6.38/1.93  % SZS output start Proof for theBenchmark
% See solution above
% 8.10/2.13  % (507557)------------------------------
% 8.10/2.13  % (507557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.13  % (507557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.13  % (507557)CaDiCaL version: 2.1.3
% 8.10/2.13  % (507557)Termination reason: Refutation
% 8.10/2.13  % (507557)Time elapsed: 0.647 s
% 8.10/2.13  % (507557)Peak memory usage: 128 MB
% 8.10/2.13  % (507557)Instructions burned: 953 (million)
% 8.10/2.13  % (507557)------------------------------
% 8.10/2.13  % (507557)------------------------------
% 8.10/2.13  % (507551)Success in time 1.074 s
% 8.10/2.13  % Vampire exiting
%------------------------------------------------------------------------------