TSTP Solution File: ARI410_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ARI410_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 : n011.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 04:33:36 EDT 2024

% Result   : Theorem 0.51s 0.69s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   20 (  19 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    :    3 (   1 avg)
%            Number arithmetic     :   56 (   0 atm;  19 fun;  28 num;   9 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   :    9 (   7   !;   2   ?;   9   :)

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

tff(f120,plain,
    $false,
    inference(subsumption_resolution,[],[f118,f18]) ).

tff(f18,plain,
    4.25 != sK0,
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ( ( 4.25 != sK0 )
    & ( 10.0 = $sum(sK0,5.75) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

tff(f15,plain,
    ( ? [X0: $real] :
        ( ( 4.25 != X0 )
        & ( $sum(X0,5.75) = 10.0 ) )
   => ( ( 4.25 != sK0 )
      & ( 10.0 = $sum(sK0,5.75) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $real] :
      ( ( 4.25 != X0 )
      & ( $sum(X0,5.75) = 10.0 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] :
        ( ( $sum(X0,5.75) = 10.0 )
       => ( 4.25 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $real] :
      ( ( $sum(X0,5.75) = 10.0 )
     => ( 4.25 = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.fu9JB68T5V/Vampire---4.8_24410',real_sum_problem_10) ).

tff(f118,plain,
    4.25 = sK0,
    inference(evaluation,[],[f114]) ).

tff(f114,plain,
    $sum(10.0,$uminus(5.75)) = $sum(sK0,0.0),
    inference(superposition,[],[f97,f7]) ).

tff(f7,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f97,plain,
    ! [X0: $real] : ( $sum(10.0,X0) = $sum(sK0,$sum(5.75,X0)) ),
    inference(superposition,[],[f4,f17]) ).

tff(f17,plain,
    10.0 = $sum(sK0,5.75),
    inference(cnf_transformation,[],[f16]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ARI410_1 : TPTP v8.1.2. Released v5.0.0.
% 0.13/0.15  % 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
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 21:46:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TF0_THM_EQU_ARI problem
% 0.13/0.36  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.fu9JB68T5V/Vampire---4.8_24410
% 0.51/0.69  % (24518)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)
% 0.51/0.69  % (24520)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.69  % (24521)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)
% 0.51/0.69  % (24519)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)
% 0.51/0.69  % (24523)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)
% 0.51/0.69  % (24525)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)
% 0.51/0.69  % (24524)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)
% 0.51/0.69  % (24522)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)
% 0.51/0.69  % (24518)Refutation not found, incomplete strategy% (24518)------------------------------
% 0.51/0.69  % (24518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (24518)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.69  
% 0.51/0.69  % (24518)Memory used [KB]: 969
% 0.51/0.69  % (24518)Time elapsed: 0.002 s
% 0.51/0.69  % (24518)Instructions burned: 2 (million)
% 0.51/0.69  % (24525)Refutation not found, incomplete strategy% (24525)------------------------------
% 0.51/0.69  % (24525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (24525)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.69  
% 0.51/0.69  % (24525)Memory used [KB]: 952
% 0.51/0.69  % (24525)Time elapsed: 0.002 s
% 0.51/0.69  % (24521)Refutation not found, incomplete strategy% (24521)------------------------------
% 0.51/0.69  % (24521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (24521)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.69  
% 0.51/0.69  % (24521)Memory used [KB]: 954
% 0.51/0.69  % (24521)Time elapsed: 0.002 s
% 0.51/0.69  % (24521)Instructions burned: 2 (million)
% 0.51/0.69  % (24518)------------------------------
% 0.51/0.69  % (24518)------------------------------
% 0.51/0.69  % (24525)Instructions burned: 2 (million)
% 0.51/0.69  % (24521)------------------------------
% 0.51/0.69  % (24521)------------------------------
% 0.51/0.69  % (24525)------------------------------
% 0.51/0.69  % (24525)------------------------------
% 0.51/0.69  % (24526)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)
% 0.51/0.69  % (24520)First to succeed.
% 0.51/0.69  % (24520)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24517"
% 0.51/0.69  % (24520)Refutation found. Thanks to Tanya!
% 0.51/0.69  % SZS status Theorem for Vampire---4
% 0.51/0.69  % SZS output start Proof for Vampire---4
% See solution above
% 0.51/0.69  % (24520)------------------------------
% 0.51/0.69  % (24520)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69  % (24520)Termination reason: Refutation
% 0.51/0.69  
% 0.51/0.69  % (24520)Memory used [KB]: 1056
% 0.51/0.69  % (24520)Time elapsed: 0.005 s
% 0.51/0.69  % (24520)Instructions burned: 8 (million)
% 0.51/0.69  % (24517)Success in time 0.335 s
% 0.51/0.70  % Vampire---4.8 exiting
%------------------------------------------------------------------------------