TSTP Solution File: ARI091_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI091_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 04:32:46 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :   23 (  22 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   70 (   0 atm;  27 fun;  33 num;  10 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   1 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   8   !;   2   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_8,type,
    sK0: $int ).

tff(f136,plain,
    $false,
    inference(subsumption_resolution,[],[f134,f20]) ).

tff(f20,plain,
    5 != sK0,
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ( ( 5 != sK0 )
    & ( 3 = $sum(sK0,$uminus(2)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).

tff(f17,plain,
    ( ? [X0: $int] :
        ( ( 5 != X0 )
        & ( 3 = $sum(X0,$uminus(2)) ) )
   => ( ( 5 != sK0 )
      & ( 3 = $sum(sK0,$uminus(2)) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f16,plain,
    ? [X0: $int] :
      ( ( 5 != X0 )
      & ( 3 = $sum(X0,$uminus(2)) ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $int] :
        ( ( 3 = $sum(X0,$uminus(2)) )
       => ( 5 = X0 ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] :
        ( ( $difference(X0,2) = 3 )
       => ( 5 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] :
      ( ( $difference(X0,2) = 3 )
     => ( 5 = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.cp7rf1yECV/Vampire---4.8_30208',diff_only_5_2_3) ).

tff(f134,plain,
    5 = sK0,
    inference(evaluation,[],[f130]) ).

tff(f130,plain,
    $sum(3,$uminus(-2)) = $sum(sK0,0),
    inference(superposition,[],[f112,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f112,plain,
    ! [X0: $int] : ( $sum(sK0,$sum(-2,X0)) = $sum(3,X0) ),
    inference(superposition,[],[f5,f21]) ).

tff(f21,plain,
    3 = $sum(sK0,-2),
    inference(evaluation,[],[f19]) ).

tff(f19,plain,
    3 = $sum(sK0,$uminus(2)),
    inference(cnf_transformation,[],[f18]) ).

tff(f5,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ARI091_1 : TPTP v8.1.2. Released v5.0.0.
% 0.14/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 21:46:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF0_THM_EQU_ARI problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.cp7rf1yECV/Vampire---4.8_30208
% 0.58/0.74  % (30384)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (30391)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75  % (30391)Refutation not found, incomplete strategy% (30391)------------------------------
% 0.58/0.75  % (30391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30391)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (30391)Memory used [KB]: 954
% 0.58/0.75  % (30391)Time elapsed: 0.001 s
% 0.58/0.75  % (30391)Instructions burned: 2 (million)
% 0.58/0.75  % (30391)------------------------------
% 0.58/0.75  % (30391)------------------------------
% 0.58/0.75  % (30384)Refutation not found, incomplete strategy% (30384)------------------------------
% 0.58/0.75  % (30384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30384)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (30384)Memory used [KB]: 970
% 0.58/0.75  % (30384)Time elapsed: 0.002 s
% 0.58/0.75  % (30384)Instructions burned: 3 (million)
% 0.58/0.75  % (30386)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (30384)------------------------------
% 0.58/0.75  % (30384)------------------------------
% 0.58/0.75  % (30385)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.75  % (30387)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75  % (30389)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (30388)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (30390)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.75  % (30387)Refutation not found, incomplete strategy% (30387)------------------------------
% 0.58/0.75  % (30387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30387)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (30387)Memory used [KB]: 956
% 0.58/0.75  % (30387)Time elapsed: 0.003 s
% 0.58/0.75  % (30387)Instructions burned: 2 (million)
% 0.58/0.75  % (30387)------------------------------
% 0.58/0.75  % (30387)------------------------------
% 0.58/0.75  % (30394)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.75  % (30395)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.58/0.75  % (30395)Refutation not found, incomplete strategy% (30395)------------------------------
% 0.58/0.75  % (30395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30395)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (30395)Memory used [KB]: 955
% 0.58/0.75  % (30395)Time elapsed: 0.002 s
% 0.58/0.75  % (30395)Instructions burned: 3 (million)
% 0.58/0.75  % (30395)------------------------------
% 0.58/0.75  % (30395)------------------------------
% 0.58/0.75  % (30386)First to succeed.
% 0.58/0.75  % (30386)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30368"
% 0.58/0.75  % (30397)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.75  % (30399)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.58/0.75  % (30386)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (30386)------------------------------
% 0.58/0.75  % (30386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (30386)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (30386)Memory used [KB]: 1058
% 0.58/0.75  % (30386)Time elapsed: 0.007 s
% 0.58/0.75  % (30386)Instructions burned: 9 (million)
% 0.58/0.75  % (30368)Success in time 0.386 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------