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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ARI618_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 09:33:29 AM UTC 2026

% Result   : Theorem 4.86s 1.25s
% Output   : Refutation 4.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   36 (  11 unt;   0 typ;  10 def)
%            Number of atoms       :   81 (  16 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   93 (  48   ~;  19   |;  14   &)
%                                         (   8 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   70 (  38 atm;  18 fun;   0 num;  14 var)
%            Number of types       :    1 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (   8 usr;   9 prp; 0-2 aty)
%            Number of functors    :    5 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   14 (  13   !;   1   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    f: $int > $int ).

tff(func_def_5,type,
    sK0: $int ).

tff(func_def_6,type,
    sF1: $int ).

tff(func_def_7,type,
    sF2: $int ).

tff(f1,conjecture,
    ( ! [X0: $int] :
        ( ( $lesseq(f(X0),$uminus(X0))
          | $lesseq(f(X0),X0) )
        & $lesseq(X0,f(X0))
        & $lesseq($uminus(X0),f(X0)) )
   => ! [X0: $int] : ( f(f(X0)) = f(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absolute_value_idempotent) ).

tff(f2,negated_conjecture,
    ~ ( ! [X0: $int] :
          ( ( $lesseq(f(X0),$uminus(X0))
            | $lesseq(f(X0),X0) )
          & $lesseq(X0,f(X0))
          & $lesseq($uminus(X0),f(X0)) )
     => ! [X0: $int] : ( f(f(X0)) = f(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ( ! [X0: $int] :
          ( ~ $less(f(X0),$uminus(X0))
          & ~ $less(f(X0),X0)
          & ( ~ $less($uminus(X0),f(X0))
            | ~ $less(X0,f(X0)) ) )
     => ! [X0: $int] : ( f(f(X0)) = f(X0) ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f16,plain,
    ~ ( ! [X0: $int] :
          ( ~ $less(f(X0),$uminus(X0))
          & ~ $less(f(X0),X0)
          & ( ~ $less($uminus(X0),f(X0))
            | ~ $less(X0,f(X0)) ) )
     => ! [X1: $int] : ( f(X1) = f(f(X1)) ) ),
    inference(rectify,[],[f3]) ).

tff(f17,plain,
    ( ! [X0: $int] :
        ( ~ $less(f(X0),$uminus(X0))
        & ~ $less(f(X0),X0)
        & ( ~ $less($uminus(X0),f(X0))
          | ~ $less(X0,f(X0)) ) )
    & ? [X1: $int] : ( f(X1) != f(f(X1)) ) ),
    inference(ennf_transformation,[],[f16]) ).

tff(f18,plain,
    ( ! [X0: $int] :
        ( ~ $less(f(X0),$uminus(X0))
        & ~ $less(f(X0),X0)
        & ( ~ $less($uminus(X0),f(X0))
          | ~ $less(X0,f(X0)) ) )
    & ( f(f(sK0)) != f(sK0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0)],[f17]) ).

tff(f19,plain,
    f(f(sK0)) != f(sK0),
    inference(cnf_transformation,[],[f18]) ).

tff(f20,plain,
    ! [X0: $int] :
      ( ~ $less($uminus(X0),f(X0))
      | ~ $less(X0,f(X0)) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f21,plain,
    ! [X0: $int] : ~ $less(f(X0),X0),
    inference(cnf_transformation,[],[f18]) ).

tff(f22,plain,
    ! [X0: $int] : ~ $less(f(X0),$uminus(X0)),
    inference(cnf_transformation,[],[f18]) ).

tff(f23,definition,
    sF1 = f(sK0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

tff(f24,plain,
    f(sK0) = sF1,
    inference(reorient_equations,[],[f23]) ).

tff(f25,definition,
    sF2 = f(sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

tff(f26,plain,
    sF2 != sF1,
    inference(definition_folding,[],[f19,f24,f25,f24]) ).

tff(f28,definition,
    ( spl3_1
  <=> ( sF2 = f(sF1) ) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

tff(f30,plain,
    ( ( sF2 = f(sF1) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f28]) ).

tff(f31,plain,
    spl3_1,
    inference(avatar_split_clause,[],[f25,f28]) ).

tff(f33,definition,
    ( spl3_2
  <=> ( f(sK0) = sF1 ) ),
    introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).

tff(f35,plain,
    ( ( f(sK0) = sF1 )
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f33]) ).

tff(f36,plain,
    spl3_2,
    inference(avatar_split_clause,[],[f24,f33]) ).

tff(f38,definition,
    ( spl3_3
  <=> ( sF2 = sF1 ) ),
    introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).

tff(f41,plain,
    ~ spl3_3,
    inference(avatar_split_clause,[],[f26,f38]) ).

tff(f42,plain,
    ( ~ $less(sF1,sF2)
    | ~ $less($uminus(sF1),sF2)
    | ~ spl3_1 ),
    inference(superposition,[],[f20,f30]) ).

tff(f44,plain,
    ( ~ $less(sF2,sF1)
    | ~ spl3_1 ),
    inference(superposition,[],[f21,f30]) ).

tff(f46,definition,
    ( spl3_4
  <=> $less(sF1,sF2) ),
    introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).

tff(f50,definition,
    ( spl3_5
  <=> $less($uminus(sF1),sF2) ),
    introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).

tff(f53,plain,
    ( ~ spl3_4
    | ~ spl3_5
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f42,f28,f50,f46]) ).

tff(f55,definition,
    ( spl3_6
  <=> $less(sF2,sF1) ),
    introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).

tff(f58,plain,
    ( ~ spl3_6
    | ~ spl3_1 ),
    inference(avatar_split_clause,[],[f44,f28,f55]) ).

tff(f65,plain,
    ( ~ $less(sF1,$uminus(sK0))
    | ~ spl3_2 ),
    inference(superposition,[],[f22,f35]) ).

tff(f66,plain,
    ( ~ $less(sF1,sK0)
    | ~ spl3_2 ),
    inference(superposition,[],[f21,f35]) ).

tff(f77,definition,
    ( spl3_10
  <=> $less(sF1,$uminus(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).

tff(f80,plain,
    ( ~ spl3_10
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f65,f33,f77]) ).

tff(f82,definition,
    ( spl3_11
  <=> $less(sF1,sK0) ),
    introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).

tff(f85,plain,
    ( ~ spl3_11
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f66,f33,f82]) ).

tff(f86,plain,
    $false,
    inference(avatar_smt_refutation,[],[f85,f80,f58,f53,f41,f36,f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ARI618_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17  % Computer : n009.cluster.edu
% 0.10/0.17  % Model    : x86_64 x86_64
% 0.10/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17  % Memory   : 8046.5625MB
% 0.10/0.17  % OS       : Linux 6.8.0-71-generic
% 0.10/0.17  % CPULimit : 300
% 0.10/0.17  % WCLimit  : 300
% 0.10/0.17  % DateTime : Mon Sep 28 20:53:45 UTC 2026
% 0.10/0.18  % CPUTime  : 
% 0.10/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21  Running first-order theorem proving
% 0.10/0.21  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
% 4.06/1.11  % (3462931)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.06/1.11  % (3462973)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3387002570:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.06/1.11  % (3462973)Instruction limit reached! 
% 4.06/1.11  % (3462973)------------------------------
% 4.06/1.11  % (3462973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.11  % (3462973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.11  % (3462973)CaDiCaL version: 2.1.3
% 4.06/1.11  % (3462973)Termination reason: Instruction limit
% 4.06/1.11  % (3462973)Termination phase: Saturation
% 4.06/1.11  % (3462973)Time elapsed: 0.002 s
% 4.06/1.11  % (3462973)Peak memory usage: 89 MB
% 4.06/1.11  % (3462973)Instructions burned: 5 (million)
% 4.06/1.11  % (3462971)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3970919015:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.06/1.11  % (3462969)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=4116225666:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.06/1.11  % (3462970)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1830325127:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.06/1.11  % (3462972)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=225175837:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.06/1.11  % (3462972)Instruction limit reached! 
% 4.06/1.11  % (3462972)------------------------------
% 4.06/1.11  % (3462972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.11  % (3462972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.11  % (3462972)CaDiCaL version: 2.1.3
% 4.06/1.11  % (3462972)Termination reason: Instruction limit
% 4.06/1.11  % (3462972)Termination phase: Saturation
% 4.06/1.11  % (3462972)Time elapsed: 0.006 s
% 4.06/1.11  % (3462972)Peak memory usage: 88 MB
% 4.06/1.11  % (3462972)Instructions burned: 7 (million)
% 4.06/1.11  % (3462970)Refutation not found, incomplete strategy
% 4.06/1.11  % (3462970)------------------------------
% 4.06/1.11  % (3462970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.11  % (3462970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.11  % (3462970)CaDiCaL version: 2.1.3
% 4.06/1.11  % (3462970)Termination reason: Refutation not found, incomplete strategy
% 4.06/1.11  % (3462970)Time elapsed: 0.031 s
% 4.06/1.11  % (3462970)Peak memory usage: 115 MB
% 4.06/1.11  % (3462970)Instructions burned: 8 (million)
% 4.06/1.11  % (3462969)Refutation not found, incomplete strategy
% 4.06/1.11  % (3462969)------------------------------
% 4.06/1.11  % (3462969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.11  % (3462969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.11  % (3462969)CaDiCaL version: 2.1.3
% 4.06/1.11  % (3462969)Termination reason: Refutation not found, incomplete strategy
% 4.06/1.11  % (3462969)Time elapsed: 0.032 s
% 4.06/1.11  % (3462969)Peak memory usage: 115 MB
% 4.06/1.11  % (3462969)Instructions burned: 11 (million)
% 4.06/1.11  % (3462974)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3224023560:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.06/1.11  % (3462974)Refutation not found, incomplete strategy
% 4.06/1.11  % (3462974)------------------------------
% 4.06/1.11  % (3462974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.11  % (3462974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.11  % (3462974)CaDiCaL version: 2.1.3
% 4.06/1.11  % (3462974)Termination reason: Refutation not found, incomplete strategy
% 4.06/1.11  % (3462974)Time elapsed: 0.028 s
% 4.06/1.11  % (3462974)Peak memory usage: 115 MB
% 4.06/1.11  % (3462974)Instructions burned: 6 (million)
% 4.06/1.11  % (3462977)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=85779684:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.06/1.11  % (3462977)Refutation not found, incomplete strategy
% 4.06/1.11  % (3462977)------------------------------
% 4.06/1.11  % (3462977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.11  % (3462977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.25  % (3462977)CaDiCaL version: 2.1.3
% 4.86/1.25  % (3462977)Termination reason: Refutation not found, incomplete strategy
% 4.86/1.25  % (3462977)Time elapsed: 0.001 s
% 4.86/1.25  % (3462977)Peak memory usage: 89 MB
% 4.86/1.25  % (3462975)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3442457547:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.86/1.25  % (3462975)First to succeed.
% 4.86/1.25  % (3462975)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3462931"
% 4.86/1.25  % (3462971)Instruction limit reached! 
% 4.86/1.25  % (3462971)------------------------------
% 4.86/1.25  % (3462971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.25  % (3462971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.25  % (3462971)CaDiCaL version: 2.1.3
% 4.86/1.25  % (3462971)Termination reason: Instruction limit
% 4.86/1.25  % (3462971)Termination phase: Saturation
% 4.86/1.25  % (3462971)Time elapsed: 0.171 s
% 4.86/1.25  % (3462971)Peak memory usage: 117 MB
% 4.86/1.25  % (3462971)Instructions burned: 201 (million)
% 4.86/1.25  % (3462982)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=202942413:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.86/1.25  % (3462982)Instruction limit reached! 
% 4.86/1.25  % (3462982)------------------------------
% 4.86/1.25  % (3462982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.25  % (3462982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.25  % (3462982)CaDiCaL version: 2.1.3
% 4.86/1.25  % (3462982)Termination reason: Instruction limit
% 4.86/1.25  % (3462982)Termination phase: Saturation
% 4.86/1.25  % (3462982)Time elapsed: 0.021 s
% 4.86/1.25  % (3462982)Peak memory usage: 88 MB
% 4.86/1.25  % (3462982)Instructions burned: 30 (million)
% 4.86/1.25  % (3462977)------------------------------
% 4.86/1.25  % (3462977)------------------------------
% 4.86/1.25  % (3462969)------------------------------
% 4.86/1.25  % (3462969)------------------------------
% 4.86/1.25  % (3462970)------------------------------
% 4.86/1.25  % (3462970)------------------------------
% 4.86/1.25  % (3462974)------------------------------
% 4.86/1.25  % (3462974)------------------------------
% 4.86/1.25  % (3462986)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=979497340:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 4.86/1.25  % (3462986)Instruction limit reached! 
% 4.86/1.25  % (3462986)------------------------------
% 4.86/1.25  % (3462986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.25  % (3462986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.25  % (3462986)CaDiCaL version: 2.1.3
% 4.86/1.25  % (3462986)Termination reason: Instruction limit
% 4.86/1.25  % (3462986)Termination phase: Saturation
% 4.86/1.25  % (3462986)Time elapsed: 0.016 s
% 4.86/1.25  % (3462986)Peak memory usage: 90 MB
% 4.86/1.25  % (3462986)Instructions burned: 16 (million)
% 4.86/1.25  % (3462990)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3538071697:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 4.86/1.25  % (3462988)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4197328736:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 4.86/1.25  % (3462990)Instruction limit reached! 
% 4.86/1.25  % (3462990)------------------------------
% 4.86/1.25  % (3462990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.25  % (3462990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.25  % (3462990)CaDiCaL version: 2.1.3
% 4.86/1.25  % (3462990)Termination reason: Instruction limit
% 4.86/1.25  % (3462990)Termination phase: Saturation
% 4.86/1.25  % (3462990)Time elapsed: 0.015 s
% 4.86/1.25  % (3462990)Peak memory usage: 89 MB
% 4.86/1.25  % (3462990)Instructions burned: 28 (million)
% 4.86/1.25  % (3462988)Instruction limit reached! 
% 4.86/1.25  % (3462988)------------------------------
% 4.86/1.25  % (3462988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.25  % (3462988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.25  % (3462988)CaDiCaL version: 2.1.3
% 4.86/1.25  % (3462988)Termination reason: Instruction limit
% 4.86/1.25  % (3462988)Termination phase: Saturation
% 4.86/1.25  % (3462988)Time elapsed: 0.029 s
% 4.86/1.25  % (3462988)Peak memory usage: 89 MB
% 4.86/1.25  % (3462988)Instructions burned: 24 (million)
% 4.86/1.25  % (3462999)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=914794474:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 4.86/1.25  % (3462975)Refutation found. Thanks to Tanya!
% 4.86/1.25  % SZS status Theorem for theBenchmark
% 4.86/1.25  % SZS output start Proof for theBenchmark
% See solution above
% 4.86/1.25  % (3462975)------------------------------
% 4.86/1.25  % (3462975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.25  % (3462975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.25  % (3462975)CaDiCaL version: 2.1.3
% 4.86/1.25  % (3462975)Termination reason: Refutation
% 4.86/1.25  % (3462975)Time elapsed: 0.051 s
% 4.86/1.25  % (3462975)Peak memory usage: 116 MB
% 4.86/1.25  % (3462975)Instructions burned: 13 (million)
% 4.86/1.25  % (3462975)------------------------------
% 4.86/1.25  % (3462975)------------------------------
% 4.86/1.25  % (3462931)Success in time 0.637 s
% 4.86/1.25  % Vampire exiting
%------------------------------------------------------------------------------