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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO551+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 09:52:54 AM UTC 2026

% Result   : Theorem 0.16s 1.70s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   64 (  10 unt;   2 def)
%            Number of atoms       :  157 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  152 (  59   ~;  53   |;  27   &)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  246 (   0 sgn 232   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD9) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD19) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).

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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( perp(X3,X0,X1,X2)
        & coll(X3,X1,X2)
        & midp(X4,X0,X1)
        & midp(X5,X2,X1)
        & midp(X6,X0,X2) )
     => cyclic(X4,X3,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012011) ).

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

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f108,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(f109,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f108]) ).

fof(f120,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(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f120]) ).

fof(f123,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(f125,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f149,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(f151,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(f152,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,[],[f151]) ).

fof(f153,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(f154,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,[],[f153]) ).

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ cyclic(X4,X3,X5,X6)
      & perp(X3,X0,X1,X2)
      & coll(X3,X1,X2)
      & midp(X4,X0,X1)
      & midp(X5,X2,X1)
      & midp(X6,X0,X2) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ cyclic(X4,X3,X5,X6)
      & perp(X3,X0,X1,X2)
      & coll(X3,X1,X2)
      & midp(X4,X0,X1)
      & midp(X5,X2,X1)
      & midp(X6,X0,X2) ),
    inference(flattening,[],[f249]) ).

fof(f270,plain,
    ( ~ cyclic(sK24,sK23,sK25,sK26)
    & perp(sK23,sK20,sK21,sK22)
    & coll(sK23,sK21,sK22)
    & midp(sK24,sK20,sK21)
    & midp(sK25,sK22,sK21)
    & midp(sK26,sK20,sK22) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[f250]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f279,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,[],[f109]) ).

fof(f287,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f289,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,[],[f123]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f309,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f312,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,[],[f152]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f388,plain,
    perp(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f270]) ).

fof(f389,plain,
    ~ cyclic(sK24,sK23,sK25,sK26),
    inference(cnf_transformation,[],[f270]) ).

fof(f397,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5) ),
    inference(resolution,[],[f289,f310]) ).

fof(f412,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f291,f310]) ).

fof(f414,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | coll(X0,X2,X1) ),
    inference(resolution,[],[f412,f312]) ).

fof(f415,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2)
      | ~ coll(X0,X2,X1) ),
    inference(resolution,[],[f412,f313]) ).

fof(f420,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X0,X2) ),
    inference(forward_subsumption_resolution,[],[f414,f415]) ).

fof(f425,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X0,X1)
      | ~ para(X2,X3,X2,X3) ),
    inference(resolution,[],[f309,f397]) ).

fof(f427,definition,
    ( spl27_1
  <=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).

fof(f428,plain,
    ( ! [X2,X3] : ~ para(X2,X3,X2,X3)
    | ~ spl27_1 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f430,definition,
    ( spl27_2
  <=> ! [X0,X1] : para(X0,X1,X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).

fof(f431,plain,
    ( ! [X0,X1] : para(X0,X1,X0,X1)
    | ~ spl27_2 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f432,plain,
    ( spl27_1
    | spl27_2 ),
    inference(avatar_split_clause,[],[f425,f430,f427]) ).

fof(f433,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
    | ~ spl27_2 ),
    inference(resolution,[],[f431,f420]) ).

fof(f438,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | cyclic(X0,X1,X2,X3) )
    | ~ spl27_2 ),
    inference(resolution,[],[f433,f287]) ).

fof(f439,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
    | ~ spl27_2 ),
    inference(forward_subsumption_resolution,[],[f438,f433]) ).

fof(f440,plain,
    ( $false
    | ~ spl27_2 ),
    inference(resolution,[],[f439,f389]) ).

fof(f445,plain,
    ~ spl27_2,
    inference(avatar_contradiction_clause,[],[f440]) ).

fof(f447,plain,
    perp(sK21,sK22,sK23,sK20),
    inference(resolution,[],[f278,f388]) ).

fof(f460,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK23,sK20)
      | para(X0,X1,sK21,sK22) ),
    inference(resolution,[],[f279,f388]) ).

fof(f463,plain,
    para(sK21,sK22,sK21,sK22),
    inference(resolution,[],[f460,f447]) ).

fof(f464,plain,
    ( $false
    | ~ spl27_1 ),
    inference(forward_subsumption_resolution,[],[f463,f428]) ).

fof(f465,plain,
    ~ spl27_1,
    inference(avatar_contradiction_clause,[],[f464]) ).

cnf(s1,plain,
    ( spl27_1
    | spl27_2 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s2,plain,
    ~ spl27_2,
    inference(sat_conversion,[],[f445]) ).

cnf(s3,plain,
    ~ spl27_1,
    inference(sat_conversion,[],[f465]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s1,s2,s3]) ).

fof(f466,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO551+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n006.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 08:28:56 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
% 3.16/1.50  % (2686891)Detected formulas, will run a generic FOF schedule.
% 3.16/1.50  % (2686896)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=2602648004:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.16/1.50  % (2686901)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2859695072:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.16/1.50  % (2686900)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=663965225:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.16/1.50  % (2686899)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1002128801:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.16/1.50  % (2686897)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=4129148960:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.16/1.50  % (2686898)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=2747381356:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.16/1.50  % (2686902)dis-21_1_sil=8000:lcm=predicate:random_seed=2698333826: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)
% 3.16/1.50  % (2686899)Refutation not found, incomplete strategy
% 3.16/1.50  % (2686899)------------------------------
% 3.16/1.50  % (2686899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.50  % (2686899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.50  % (2686899)CaDiCaL version: 2.1.3
% 3.16/1.50  % (2686899)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.50  % (2686899)Time elapsed: 0.028 s
% 3.16/1.50  % (2686899)Peak memory usage: 89 MB
% 3.16/1.50  % (2686899)Instructions burned: 50 (million)
% 3.16/1.50  % (2686900)Instruction limit reached! 
% 3.16/1.50  % (2686900)------------------------------
% 3.16/1.50  % (2686900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.50  % (2686900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.50  % (2686900)CaDiCaL version: 2.1.3
% 3.16/1.50  % (2686900)Termination reason: Instruction limit
% 3.16/1.50  % (2686900)Termination phase: Saturation
% 3.16/1.50  % (2686900)Time elapsed: 0.070 s
% 3.16/1.50  % (2686900)Peak memory usage: 88 MB
% 3.16/1.50  % (2686900)Instructions burned: 119 (million)
% 3.16/1.50  % (2686902)Instruction limit reached! 
% 3.16/1.50  % (2686902)------------------------------
% 3.16/1.50  % (2686902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.50  % (2686902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.50  % (2686902)CaDiCaL version: 2.1.3
% 3.16/1.50  % (2686902)Termination reason: Instruction limit
% 3.16/1.50  % (2686902)Termination phase: Saturation
% 3.16/1.50  % (2686902)Time elapsed: 0.080 s
% 3.16/1.50  % (2686902)Peak memory usage: 90 MB
% 3.16/1.50  % (2686902)Instructions burned: 129 (million)
% 3.16/1.50  % (2686901)Instruction limit reached! 
% 3.16/1.50  % (2686901)------------------------------
% 3.16/1.50  % (2686901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.50  % (2686901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.50  % (2686901)CaDiCaL version: 2.1.3
% 3.16/1.50  % (2686901)Termination reason: Instruction limit
% 3.16/1.50  % (2686901)Termination phase: Saturation
% 3.16/1.50  % (2686901)Time elapsed: 0.092 s
% 3.16/1.50  % (2686901)Peak memory usage: 89 MB
% 3.16/1.50  % (2686901)Instructions burned: 140 (million)
% 3.16/1.50  % (2686910)lrs+10_1_sil=8000:sp=occurrence:random_seed=3760902879:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.16/1.50  % (2686912)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3773903256:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.16/1.50  % (2686911)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1366097157:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.16/1.50  % (2686899)------------------------------
% 3.16/1.50  % (2686899)------------------------------
% 3.16/1.50  % (2686911)Instruction limit reached! 
% 3.16/1.50  % (2686911)------------------------------
% 3.16/1.50  % (2686911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.70  % (2686911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70  % (2686911)CaDiCaL version: 2.1.3
% 0.16/1.70  % (2686911)Termination reason: Instruction limit
% 0.16/1.70  % (2686911)Termination phase: Saturation
% 0.16/1.70  % (2686911)Time elapsed: 0.080 s
% 0.16/1.70  % (2686911)Peak memory usage: 90 MB
% 0.16/1.70  % (2686911)Instructions burned: 158 (million)
% 0.16/1.70  % (2686896)First to succeed.
% 0.16/1.70  % (2686896)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2686891"
% 0.16/1.70  % (2686910)Instruction limit reached! 
% 0.16/1.70  % (2686910)------------------------------
% 0.16/1.70  % (2686910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.70  % (2686910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70  % (2686910)CaDiCaL version: 2.1.3
% 0.16/1.70  % (2686910)Termination reason: Instruction limit
% 0.16/1.70  % (2686910)Termination phase: Saturation
% 0.16/1.70  % (2686910)Time elapsed: 0.183 s
% 0.16/1.70  % (2686910)Peak memory usage: 92 MB
% 0.16/1.70  % (2686910)Instructions burned: 286 (million)
% 0.16/1.70  % (2686916)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=1163519008:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 0.16/1.70  % (2686912)Instruction limit reached! 
% 0.16/1.70  % (2686912)------------------------------
% 0.16/1.70  % (2686912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.70  % (2686912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70  % (2686912)CaDiCaL version: 2.1.3
% 0.16/1.70  % (2686912)Termination reason: Instruction limit
% 0.16/1.70  % (2686912)Termination phase: Saturation
% 0.16/1.70  % (2686912)Time elapsed: 0.200 s
% 0.16/1.70  % (2686912)Peak memory usage: 91 MB
% 0.16/1.70  % (2686912)Instructions burned: 326 (million)
% 0.16/1.70  % (2686917)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3897526155:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 0.16/1.70  % (2686896)Refutation found. Thanks to Tanya!
% 0.16/1.70  % SZS status Theorem for theBenchmark
% 0.16/1.70  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.70  % (2686896)------------------------------
% 0.16/1.70  % (2686896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.70  % (2686896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.70  % (2686896)CaDiCaL version: 2.1.3
% 0.16/1.70  % (2686896)Termination reason: Refutation
% 0.16/1.70  % (2686896)Time elapsed: 0.383 s
% 0.16/1.70  % (2686896)Peak memory usage: 131 MB
% 0.16/1.70  % (2686896)Instructions burned: 966 (million)
% 0.16/1.70  % (2686896)------------------------------
% 0.16/1.70  % (2686896)------------------------------
% 0.16/1.70  % (2686891)Success in time 0.65 s
% 0.16/1.70  % Vampire exiting
%------------------------------------------------------------------------------