TSTP Solution File: NUM931_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM931_5 : TPTP v8.1.2. Released v6.0.0.
% 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 : n021.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 08:16:49 EDT 2024

% Result   : Theorem 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   51 (  11 unt;  31 typ;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  14   ~;   8   |;   1   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   19 (  13   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   3 con; 0-4 aty)
%            Number of variables   :   40 (  16   !;   0   ?;  40   :)
%                                         (  24  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    archimedean_ceiling: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_1,type,
    archim2085082626_floor: 
      !>[X0: $tType] : ( X0 > int ) ).

tff(func_def_2,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_3,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_4,type,
    nat_tsub: ( int * int ) > int ).

tff(func_def_5,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_6,type,
    fFalse: bool ).

tff(func_def_7,type,
    fTrue: bool ).

tff(func_def_8,type,
    m: int ).

tff(func_def_9,type,
    sK0: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_10,type,
    sK1: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_11,type,
    sK2: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(func_def_12,type,
    sK3: 
      !>[X0: $tType] : ( X0 > X0 ) ).

tff(pred_def_1,type,
    one: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    ord: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    order: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    preorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    zero_neq_one: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    linordered_idom: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    dense_linorder: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    archim1727834104eiling: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    ord_less: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_13,type,
    ord_less_eq: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_14,type,
    pp: bool > $o ).

tff(pred_def_15,type,
    sQ4_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f240,plain,
    $false,
    inference(subsumption_resolution,[],[f226,f238]) ).

tff(f238,plain,
    ord_less(int,zero_zero(int),m),
    inference(subsumption_resolution,[],[f234,f191]) ).

tff(f191,plain,
    linorder(int),
    inference(cnf_transformation,[],[f106]) ).

tff(f106,axiom,
    linorder(int),
    file('/export/starexec/sandbox2/tmp/tmp.M2zQRlGlKE/Vampire---4.8_4476',arity_Int_Oint___Orderings_Olinorder) ).

tff(f234,plain,
    ( ord_less(int,zero_zero(int),m)
    | ~ linorder(int) ),
    inference(resolution,[],[f205,f186]) ).

tff(f186,plain,
    ~ ord_less_eq(int,m,zero_zero(int)),
    inference(cnf_transformation,[],[f119]) ).

tff(f119,plain,
    ~ ord_less_eq(int,m,zero_zero(int)),
    inference(flattening,[],[f118]) ).

tff(f118,negated_conjecture,
    ~ ord_less_eq(int,m,zero_zero(int)),
    inference(negated_conjecture,[],[f117]) ).

tff(f117,conjecture,
    ord_less_eq(int,m,zero_zero(int)),
    file('/export/starexec/sandbox2/tmp/tmp.M2zQRlGlKE/Vampire---4.8_4476',conj_0) ).

tff(f205,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ord_less_eq(X0,X2,X1)
      | ord_less(X0,X1,X2)
      | ~ linorder(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tff(f164,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] :
          ( ord_less(X0,X1,X2)
          | ord_less_eq(X0,X2,X1) )
      | ~ linorder(X0) ),
    inference(ennf_transformation,[],[f137]) ).

tff(f137,plain,
    ! [X0: $tType] :
      ( linorder(X0)
     => ! [X1: X0,X2: X0] :
          ( ~ ord_less_eq(X0,X2,X1)
         => ord_less(X0,X1,X2) ) ),
    inference(rectify,[],[f77]) ).

tff(f77,axiom,
    ! [X0: $tType] :
      ( linorder(X0)
     => ! [X2: X0,X9: X0] :
          ( ~ ord_less_eq(X0,X9,X2)
         => ord_less(X0,X2,X9) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.M2zQRlGlKE/Vampire---4.8_4476',fact_76_not__leE) ).

tff(f226,plain,
    ~ ord_less(int,zero_zero(int),m),
    inference(resolution,[],[f188,f195]) ).

tff(f195,plain,
    ~ ord_less_eq(int,one_one(int),m),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    ~ ord_less_eq(int,one_one(int),m),
    file('/export/starexec/sandbox2/tmp/tmp.M2zQRlGlKE/Vampire---4.8_4476',fact_0__096_126_A1_A_060_061_Am_096) ).

tff(f188,plain,
    ! [X0: int] :
      ( ord_less_eq(int,one_one(int),X0)
      | ~ ord_less(int,zero_zero(int),X0) ),
    inference(cnf_transformation,[],[f171]) ).

tff(f171,plain,
    ! [X0: int] :
      ( ( ord_less_eq(int,one_one(int),X0)
        | ~ ord_less(int,zero_zero(int),X0) )
      & ( ord_less(int,zero_zero(int),X0)
        | ~ ord_less_eq(int,one_one(int),X0) ) ),
    inference(nnf_transformation,[],[f120]) ).

tff(f120,plain,
    ! [X0: int] :
      ( ord_less_eq(int,one_one(int),X0)
    <=> ord_less(int,zero_zero(int),X0) ),
    inference(rectify,[],[f89]) ).

tff(f89,axiom,
    ! [X20: int] :
      ( ord_less_eq(int,one_one(int),X20)
    <=> ord_less(int,zero_zero(int),X20) ),
    file('/export/starexec/sandbox2/tmp/tmp.M2zQRlGlKE/Vampire---4.8_4476',fact_88_int__one__le__iff__zero__less) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : NUM931_5 : TPTP v8.1.2. Released v6.0.0.
% 0.11/0.12  % 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
% 0.11/0.33  % Computer : n021.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 14:15:23 EDT 2024
% 0.18/0.33  % CPUTime    : 
% 0.18/0.33  This is a TF1_THM_EQU_NAR problem
% 0.18/0.33  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.M2zQRlGlKE/Vampire---4.8_4476
% 0.63/0.80  % (4587)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)
% 0.63/0.80  % (4589)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.80  % (4590)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)
% 0.63/0.80  % (4588)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)
% 0.63/0.80  % (4591)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)
% 0.63/0.80  % (4592)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)
% 0.63/0.80  % (4593)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)
% 0.63/0.80  % (4594)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)
% 0.63/0.80  % (4590)Refutation not found, incomplete strategy% (4590)------------------------------
% 0.63/0.80  % (4590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (4589)Refutation not found, incomplete strategy% (4589)------------------------------
% 0.63/0.80  % (4589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (4589)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (4589)Memory used [KB]: 1053
% 0.63/0.80  % (4592)Refutation not found, incomplete strategy% (4592)------------------------------
% 0.63/0.80  % (4592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (4589)Time elapsed: 0.002 s
% 0.63/0.80  % (4593)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.63/0.80  % (4592)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (4589)Instructions burned: 2 (million)
% 0.63/0.80  % (4592)Memory used [KB]: 1053
% 0.63/0.80  % (4592)Time elapsed: 0.002 s
% 0.63/0.80  % (4592)Instructions burned: 2 (million)
% 0.63/0.80  % (4590)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (4594)Refutation not found, incomplete strategy% (4594)------------------------------
% 0.63/0.80  % (4594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (4594)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (4594)Memory used [KB]: 1053
% 0.63/0.80  % (4594)Time elapsed: 0.002 s
% 0.63/0.80  % (4594)Instructions burned: 2 (million)
% 0.63/0.80  % (4593)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.63/0.80  % (4590)Memory used [KB]: 1052
% 0.63/0.80  % (4590)Time elapsed: 0.003 s
% 0.63/0.80  % (4590)Instructions burned: 2 (million)
% 0.63/0.80  % (4592)------------------------------
% 0.63/0.80  % (4592)------------------------------
% 0.63/0.80  % (4589)------------------------------
% 0.63/0.80  % (4589)------------------------------
% 0.63/0.80  % (4594)------------------------------
% 0.63/0.80  % (4594)------------------------------
% 0.63/0.80  % (4590)------------------------------
% 0.63/0.80  % (4590)------------------------------
% 0.63/0.80  % (4593)Refutation not found, incomplete strategy% (4593)------------------------------
% 0.63/0.80  % (4593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (4593)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (4593)Memory used [KB]: 1056
% 0.63/0.80  % (4593)Time elapsed: 0.003 s
% 0.63/0.80  % (4593)Instructions burned: 3 (million)
% 0.63/0.80  % (4593)------------------------------
% 0.63/0.80  % (4593)------------------------------
% 0.63/0.80  % (4587)First to succeed.
% 0.63/0.80  % (4587)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4584"
% 0.63/0.80  % (4587)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Theorem for Vampire---4
% 0.63/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80  % (4587)------------------------------
% 0.63/0.80  % (4587)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (4587)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (4587)Memory used [KB]: 1108
% 0.63/0.80  % (4587)Time elapsed: 0.004 s
% 0.63/0.80  % (4587)Instructions burned: 5 (million)
% 0.63/0.80  % (4584)Success in time 0.468 s
% 0.63/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------