TSTP Solution File: DAT059_1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT059_1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 05:04:26 EDT 2024

% Result   : Theorem 0.56s 0.82s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   28 (  12 unt;  14 typ;   0 def)
%            Number of atoms       :   16 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   8   ~;   0   |;   0   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :    9 (   0 atm;   0 fun;   0 num;   9 var)
%            Number of types       :    4 (   2 usr;   1 ari)
%            Number of type conns  :   13 (   6   >;   7   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   38 (  30   !;   8   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    data: $tType ).

tff(type_def_6,type,
    array: $tType ).

tff(func_def_0,type,
    mkarray: array ).

tff(func_def_1,type,
    none: data ).

tff(func_def_2,type,
    put: ( array * $int * data ) > array ).

tff(func_def_3,type,
    get: ( array * $int ) > data ).

tff(func_def_4,type,
    sK0: ( array * array ) > $int ).

tff(func_def_5,type,
    sK1: data ).

tff(func_def_6,type,
    sK2: array ).

tff(func_def_7,type,
    sK3: $int ).

tff(func_def_8,type,
    sK4: data ).

tff(pred_def_1,type,
    sQ5_eqProxy: ( data * data ) > $o ).

tff(pred_def_2,type,
    sQ6_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_3,type,
    sQ7_eqProxy: ( array * array ) > $o ).

tff(f45,plain,
    $false,
    inference(subsumption_resolution,[],[f38,f35]) ).

tff(f35,plain,
    ! [X2: $int,X3: data,X0: data,X1: array] : sQ7_eqProxy(put(put(X1,X2,X0),X2,X3),put(X1,X2,X3)),
    inference(equality_proxy_replacement,[],[f24,f34]) ).

tff(f34,plain,
    ! [X0: array,X1: array] :
      ( sQ7_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ7_eqProxy])]) ).

tff(f24,plain,
    ! [X2: $int,X3: data,X0: data,X1: array] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,plain,
    ! [X0: data,X1: array,X2: $int,X3: data] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X4: data,X1: array,X0: $int,X5: data] : ( put(put(X1,X0,X4),X0,X5) = put(X1,X0,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.qGV5Wvib48/Vampire---4.8_21107',ax_20) ).

tff(f38,plain,
    ~ sQ7_eqProxy(put(put(sK2,sK3,sK1),sK3,sK4),put(sK2,sK3,sK4)),
    inference(equality_proxy_replacement,[],[f27,f34]) ).

tff(f27,plain,
    put(put(sK2,sK3,sK1),sK3,sK4) != put(sK2,sK3,sK4),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    put(put(sK2,sK3,sK1),sK3,sK4) != put(sK2,sK3,sK4),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f14,f19]) ).

tff(f19,plain,
    ( ? [X0: data,X1: array,X2: $int,X3: data] : ( put(put(X1,X2,X0),X2,X3) != put(X1,X2,X3) )
   => ( put(put(sK2,sK3,sK1),sK3,sK4) != put(sK2,sK3,sK4) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: data,X1: array,X2: $int,X3: data] : ( put(put(X1,X2,X0),X2,X3) != put(X1,X2,X3) ),
    inference(ennf_transformation,[],[f12]) ).

tff(f12,plain,
    ~ ! [X0: data,X1: array,X2: $int,X3: data] : ( put(put(X1,X2,X0),X2,X3) = put(X1,X2,X3) ),
    inference(rectify,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ ! [X5: data,X1: array,X0: $int,X4: data] : ( put(X1,X0,X4) = put(put(X1,X0,X5),X0,X4) ),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    ! [X5: data,X1: array,X0: $int,X4: data] : ( put(X1,X0,X4) = put(put(X1,X0,X5),X0,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.qGV5Wvib48/Vampire---4.8_21107',th_lem_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem    : DAT059_1 : TPTP v8.1.2. Released v5.5.0.
% 0.08/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.36  % Computer : n032.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8042.1875MB
% 0.10/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.36  % CPULimit   : 300
% 0.10/0.36  % WCLimit    : 300
% 0.10/0.36  % DateTime   : Fri May  3 13:04:39 EDT 2024
% 0.10/0.36  % CPUTime    : 
% 0.10/0.36  This is a TF0_THM_EQU_ARI problem
% 0.10/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.qGV5Wvib48/Vampire---4.8_21107
% 0.56/0.82  % (21218)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.82  % (21217)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)
% 0.56/0.82  % (21216)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)
% 0.56/0.82  % (21219)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)
% 0.56/0.82  % (21220)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)
% 0.56/0.82  % (21222)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)
% 0.56/0.82  % (21221)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)
% 0.56/0.82  % (21223)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)
% 0.56/0.82  % (21222)Also succeeded, but the first one will report.
% 0.56/0.82  % (21221)Also succeeded, but the first one will report.
% 0.56/0.82  % (21220)First to succeed.
% 0.56/0.82  % (21216)Also succeeded, but the first one will report.
% 0.56/0.82  % (21219)Also succeeded, but the first one will report.
% 0.56/0.82  % (21223)Also succeeded, but the first one will report.
% 0.56/0.82  % (21217)Also succeeded, but the first one will report.
% 0.56/0.82  % (21218)Also succeeded, but the first one will report.
% 0.56/0.82  % (21220)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21215"
% 0.56/0.82  % (21220)Refutation found. Thanks to Tanya!
% 0.56/0.82  % SZS status Theorem for Vampire---4
% 0.56/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.82  % (21220)------------------------------
% 0.56/0.82  % (21220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.82  % (21220)Termination reason: Refutation
% 0.56/0.82  
% 0.56/0.82  % (21220)Memory used [KB]: 970
% 0.56/0.82  % (21220)Time elapsed: 0.003 s
% 0.56/0.82  % (21220)Instructions burned: 3 (million)
% 0.56/0.82  % (21215)Success in time 0.453 s
% 0.56/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------