TSTP Solution File: ARI065_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI065_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 : n025.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 : Wed May  1 02:08:05 EDT 2024

% Result   : Theorem 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  12 unt;   1 typ;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :   76 (   0 atm;  30 fun;  30 num;  16 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    :    7 (   1 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  14   !;   2   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_7,type,
    sK0: $int ).

tff(f249,plain,
    $false,
    inference(subsumption_resolution,[],[f247,f19]) ).

tff(f19,plain,
    3 != sK0,
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ( ( 3 != sK0 )
    & ( 5 = $sum(2,sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int] :
        ( ( 3 != X0 )
        & ( $sum(2,X0) = 5 ) )
   => ( ( 3 != sK0 )
      & ( 5 = $sum(2,sK0) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int] :
      ( ( 3 != X0 )
      & ( $sum(2,X0) = 5 ) ),
    inference(ennf_transformation,[],[f2]) ).

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

tff(f1,conjecture,
    ! [X0: $int] :
      ( ( $sum(2,X0) = 5 )
     => ( 3 = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MkareUwc7O/Vampire---4.8_28964',sum2_only_3_5) ).

tff(f247,plain,
    3 = sK0,
    inference(evaluation,[],[f243]) ).

tff(f243,plain,
    sK0 = $sum(5,$uminus(2)),
    inference(superposition,[],[f115,f110]) ).

tff(f110,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,$sum($uminus(X0),X1)) = X1 ),
    inference(evaluation,[],[f92]) ).

tff(f92,plain,
    ! [X0: $int,X1: $int] : ( $sum(0,X1) = $sum(X0,$sum($uminus(X0),X1)) ),
    inference(superposition,[],[f4,f7]) ).

tff(f7,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f4,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f115,plain,
    ! [X0: $int] : ( $sum(5,X0) = $sum(2,$sum(X0,sK0)) ),
    inference(superposition,[],[f95,f3]) ).

tff(f3,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f95,plain,
    ! [X0: $int] : ( $sum(2,$sum(sK0,X0)) = $sum(5,X0) ),
    inference(superposition,[],[f4,f18]) ).

tff(f18,plain,
    5 = $sum(2,sK0),
    inference(cnf_transformation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI065_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n025.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 19:06:11 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a TF0_THM_EQU_ARI problem
% 0.15/0.36  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.MkareUwc7O/Vampire---4.8_28964
% 0.61/0.80  % (29350)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 (2995ds/56Mi)
% 0.61/0.80  % (29350)Refutation not found, incomplete strategy% (29350)------------------------------
% 0.61/0.80  % (29350)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (29350)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (29350)Memory used [KB]: 951
% 0.61/0.80  % (29350)Time elapsed: 0.002 s
% 0.61/0.80  % (29350)Instructions burned: 2 (million)
% 0.61/0.80  % (29350)------------------------------
% 0.61/0.80  % (29350)------------------------------
% 0.61/0.80  % (29343)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 (2995ds/34Mi)
% 0.61/0.80  % (29345)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80  % (29344)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 (2995ds/51Mi)
% 0.61/0.80  % (29346)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.80  % (29347)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 (2995ds/34Mi)
% 0.61/0.80  % (29349)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 (2995ds/83Mi)
% 0.61/0.80  % (29348)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.80  % (29346)Refutation not found, incomplete strategy% (29346)------------------------------
% 0.61/0.80  % (29346)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (29346)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (29346)Memory used [KB]: 954
% 0.61/0.80  % (29346)Time elapsed: 0.003 s
% 0.61/0.80  % (29346)Instructions burned: 2 (million)
% 0.61/0.80  % (29346)------------------------------
% 0.61/0.80  % (29346)------------------------------
% 0.61/0.80  % (29343)Refutation not found, incomplete strategy% (29343)------------------------------
% 0.61/0.80  % (29343)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (29343)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (29343)Memory used [KB]: 968
% 0.61/0.80  % (29343)Time elapsed: 0.003 s
% 0.61/0.80  % (29343)Instructions burned: 2 (million)
% 0.61/0.80  % (29343)------------------------------
% 0.61/0.80  % (29343)------------------------------
% 0.61/0.80  % (29351)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 (2995ds/55Mi)
% 0.61/0.81  % (29352)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 (2995ds/50Mi)
% 0.61/0.81  % (29353)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 (2995ds/208Mi)
% 0.61/0.81  % (29352)Refutation not found, incomplete strategy% (29352)------------------------------
% 0.61/0.81  % (29352)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (29352)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (29352)Memory used [KB]: 954
% 0.61/0.81  % (29352)Time elapsed: 0.003 s
% 0.61/0.81  % (29352)Instructions burned: 2 (million)
% 0.61/0.81  % (29352)------------------------------
% 0.61/0.81  % (29352)------------------------------
% 0.61/0.81  % (29345)First to succeed.
% 0.61/0.81  % (29345)Refutation found. Thanks to Tanya!
% 0.61/0.81  % SZS status Theorem for Vampire---4
% 0.61/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81  % (29345)------------------------------
% 0.61/0.81  % (29345)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (29345)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (29345)Memory used [KB]: 1086
% 0.61/0.81  % (29345)Time elapsed: 0.012 s
% 0.61/0.81  % (29345)Instructions burned: 16 (million)
% 0.61/0.81  % (29345)------------------------------
% 0.61/0.81  % (29345)------------------------------
% 0.61/0.81  % (29244)Success in time 0.442 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------