TSTP Solution File: NUM928_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM928_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 : n020.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 08:16:48 EDT 2024

% Result   : Theorem 0.94s 0.89s
% Output   : Refutation 0.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   59
% Syntax   : Number of formulae    :   79 (  15 unt;  53 typ;   0 def)
%            Number of atoms       :   44 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  17   ~;  12   |;   3   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   37 (  27   >;  10   *;   0   +;   0  <<)
%            Number of predicates  :   27 (  25 usr;   1 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;   5 con; 0-5 aty)
%            Number of variables   :   99 (  39   !;  10   ?;  99   :)
%                                         (  50  !>;   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(type_def_8,type,
    product_prod: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    minus_minus: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_1,type,
    plus_plus: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

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

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

tff(func_def_4,type,
    min: int ).

tff(func_def_5,type,
    number_number_of: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_6,type,
    ring_1_of_int: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_7,type,
    product_Pair: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * X1 ) > product_prod(X0,X1) ) ).

tff(func_def_8,type,
    product_prod_rec: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * product_prod(X0,X1) ) > X2 ) ).

tff(func_def_9,type,
    twoSqu196287499sum2sq: product_prod(int,int) > int ).

tff(func_def_10,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_11,type,
    fFalse: bool ).

tff(func_def_12,type,
    fTrue: bool ).

tff(func_def_13,type,
    x: int ).

tff(func_def_14,type,
    y: int ).

tff(func_def_15,type,
    sK0: int > int ).

tff(func_def_16,type,
    sK1: int > int ).

tff(func_def_17,type,
    sK2: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).

tff(func_def_18,type,
    sK3: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).

tff(func_def_19,type,
    sK4: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).

tff(func_def_20,type,
    sK5: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X0 ) ).

tff(func_def_21,type,
    sK6: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > X1 ) ).

tff(func_def_22,type,
    sK7: 
      !>[X0: $tType,X1: $tType] : ( fun(product_prod(X0,X1),bool) > product_prod(X0,X1) ) ).

tff(func_def_23,type,
    sK8: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

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

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

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

tff(pred_def_4,type,
    ring_1: 
      !>[X0: $tType] : $o ).

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

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

tff(pred_def_7,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

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

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

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

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

tff(pred_def_12,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_14,type,
    ab_semigroup_mult: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_16,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    cancel146912293up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    ab_sem1668676832m_mult: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    semiri456707255roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_20,type,
    abel_semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_21,type,
    comm_monoid: 
      !>[X0: $tType] : ( ( fun(X0,fun(X0,X0)) * X0 ) > $o ) ).

tff(pred_def_22,type,
    semigroup: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_23,type,
    semilattice: 
      !>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).

tff(pred_def_24,type,
    twoSqu1567020053sum2sq: int > $o ).

tff(pred_def_25,type,
    pp: bool > $o ).

tff(f1675,plain,
    $false,
    inference(subsumption_resolution,[],[f1674,f198]) ).

tff(f198,plain,
    twoSqu1567020053sum2sq(y),
    inference(cnf_transformation,[],[f123]) ).

tff(f123,axiom,
    twoSqu1567020053sum2sq(y),
    file('/export/starexec/sandbox2/tmp/tmp.N0sn2acImg/Vampire---4.8_18262',conj_1) ).

tff(f1674,plain,
    ~ twoSqu1567020053sum2sq(y),
    inference(subsumption_resolution,[],[f1666,f197]) ).

tff(f197,plain,
    twoSqu1567020053sum2sq(x),
    inference(cnf_transformation,[],[f122]) ).

tff(f122,axiom,
    twoSqu1567020053sum2sq(x),
    file('/export/starexec/sandbox2/tmp/tmp.N0sn2acImg/Vampire---4.8_18262',conj_0) ).

tff(f1666,plain,
    ( ~ twoSqu1567020053sum2sq(x)
    | ~ twoSqu1567020053sum2sq(y) ),
    inference(resolution,[],[f1616,f199]) ).

tff(f199,plain,
    ~ twoSqu1567020053sum2sq(times_times(int,x,y)),
    inference(cnf_transformation,[],[f126]) ).

tff(f126,plain,
    ~ twoSqu1567020053sum2sq(times_times(int,x,y)),
    inference(flattening,[],[f125]) ).

tff(f125,negated_conjecture,
    ~ twoSqu1567020053sum2sq(times_times(int,x,y)),
    inference(negated_conjecture,[],[f124]) ).

tff(f124,conjecture,
    twoSqu1567020053sum2sq(times_times(int,x,y)),
    file('/export/starexec/sandbox2/tmp/tmp.N0sn2acImg/Vampire---4.8_18262',conj_2) ).

tff(f1616,plain,
    ! [X0: int,X1: int] :
      ( twoSqu1567020053sum2sq(times_times(int,X1,X0))
      | ~ twoSqu1567020053sum2sq(X1)
      | ~ twoSqu1567020053sum2sq(X0) ),
    inference(superposition,[],[f1177,f200]) ).

tff(f200,plain,
    ! [X0: int] :
      ( ( twoSqu196287499sum2sq(product_Pair(int,int,sK0(X0),sK1(X0))) = X0 )
      | ~ twoSqu1567020053sum2sq(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tff(f181,plain,
    ! [X0: int] :
      ( ( twoSqu1567020053sum2sq(X0)
        | ! [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) != X0 ) )
      & ( ( twoSqu196287499sum2sq(product_Pair(int,int,sK0(X0),sK1(X0))) = X0 )
        | ~ twoSqu1567020053sum2sq(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f179,f180]) ).

tff(f180,plain,
    ! [X0: int] :
      ( ? [X3: int,X4: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X3,X4)) = X0 )
     => ( twoSqu196287499sum2sq(product_Pair(int,int,sK0(X0),sK1(X0))) = X0 ) ),
    introduced(choice_axiom,[]) ).

tff(f179,plain,
    ! [X0: int] :
      ( ( twoSqu1567020053sum2sq(X0)
        | ! [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) != X0 ) )
      & ( ? [X3: int,X4: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X3,X4)) = X0 )
        | ~ twoSqu1567020053sum2sq(X0) ) ),
    inference(rectify,[],[f178]) ).

tff(f178,plain,
    ! [X0: int] :
      ( ( twoSqu1567020053sum2sq(X0)
        | ! [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) != X0 ) )
      & ( ? [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) = X0 )
        | ~ twoSqu1567020053sum2sq(X0) ) ),
    inference(nnf_transformation,[],[f127]) ).

tff(f127,plain,
    ! [X0: int] :
      ( twoSqu1567020053sum2sq(X0)
    <=> ? [X1: int,X2: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) = X0 ) ),
    inference(rectify,[],[f15]) ).

tff(f15,axiom,
    ! [X16: int] :
      ( twoSqu1567020053sum2sq(X16)
    <=> ? [X17: int,X18: int] : ( twoSqu196287499sum2sq(product_Pair(int,int,X17,X18)) = X16 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.N0sn2acImg/Vampire---4.8_18262',fact_14_is__sum2sq__def) ).

tff(f1177,plain,
    ! [X2: int,X0: int,X1: int] :
      ( twoSqu1567020053sum2sq(times_times(int,X0,twoSqu196287499sum2sq(product_Pair(int,int,X1,X2))))
      | ~ twoSqu1567020053sum2sq(X0) ),
    inference(superposition,[],[f700,f200]) ).

tff(f700,plain,
    ! [X2: int,X3: int,X0: int,X1: int] : twoSqu1567020053sum2sq(times_times(int,twoSqu196287499sum2sq(product_Pair(int,int,X0,X2)),twoSqu196287499sum2sq(product_Pair(int,int,X1,X3)))),
    inference(superposition,[],[f246,f207]) ).

tff(f207,plain,
    ! [X2: int,X3: int,X0: int,X1: int] : ( times_times(int,twoSqu196287499sum2sq(product_Pair(int,int,X3,X2)),twoSqu196287499sum2sq(product_Pair(int,int,X1,X0))) = twoSqu196287499sum2sq(product_Pair(int,int,plus_plus(int,times_times(int,X3,X1),times_times(int,X2,X0)),minus_minus(int,times_times(int,X3,X0),times_times(int,X2,X1)))) ),
    inference(cnf_transformation,[],[f132]) ).

tff(f132,plain,
    ! [X0: int,X1: int,X2: int,X3: int] : ( times_times(int,twoSqu196287499sum2sq(product_Pair(int,int,X3,X2)),twoSqu196287499sum2sq(product_Pair(int,int,X1,X0))) = twoSqu196287499sum2sq(product_Pair(int,int,plus_plus(int,times_times(int,X3,X1),times_times(int,X2,X0)),minus_minus(int,times_times(int,X3,X0),times_times(int,X2,X1)))) ),
    inference(rectify,[],[f75]) ).

tff(f75,axiom,
    ! [X42: int,X43: int,X3: int,X4: int] : ( times_times(int,twoSqu196287499sum2sq(product_Pair(int,int,X4,X3)),twoSqu196287499sum2sq(product_Pair(int,int,X43,X42))) = twoSqu196287499sum2sq(product_Pair(int,int,plus_plus(int,times_times(int,X4,X43),times_times(int,X3,X42)),minus_minus(int,times_times(int,X4,X42),times_times(int,X3,X43)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.N0sn2acImg/Vampire---4.8_18262',fact_74_mult__sum2sq) ).

tff(f246,plain,
    ! [X2: int,X1: int] : twoSqu1567020053sum2sq(twoSqu196287499sum2sq(product_Pair(int,int,X1,X2))),
    inference(equality_resolution,[],[f201]) ).

tff(f201,plain,
    ! [X2: int,X0: int,X1: int] :
      ( twoSqu1567020053sum2sq(X0)
      | ( twoSqu196287499sum2sq(product_Pair(int,int,X1,X2)) != X0 ) ),
    inference(cnf_transformation,[],[f181]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM928_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % 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 14:22:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TF1_THM_EQU_NAR 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.N0sn2acImg/Vampire---4.8_18262
% 0.61/0.80  % (18461)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  % (18466)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  % (18463)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  % (18460)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  % (18466)Refutation not found, incomplete strategy% (18466)------------------------------
% 0.61/0.80  % (18466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (18466)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (18466)Memory used [KB]: 1066
% 0.61/0.80  % (18466)Time elapsed: 0.003 s
% 0.61/0.80  % (18466)Instructions burned: 2 (million)
% 0.61/0.80  % (18459)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  % (18462)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  % (18464)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  % (18465)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  % (18466)------------------------------
% 0.61/0.80  % (18466)------------------------------
% 0.61/0.80  % (18465)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.80  % (18465)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.80  % (18464)Refutation not found, incomplete strategy% (18464)------------------------------
% 0.61/0.80  % (18464)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (18462)Refutation not found, incomplete strategy% (18462)------------------------------
% 0.61/0.80  % (18462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (18464)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (18464)Memory used [KB]: 1066
% 0.61/0.80  % (18464)Time elapsed: 0.004 s
% 0.61/0.80  % (18464)Instructions burned: 2 (million)
% 0.61/0.80  % (18462)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (18462)Memory used [KB]: 1068
% 0.61/0.80  % (18462)Time elapsed: 0.004 s
% 0.61/0.80  % (18462)Instructions burned: 2 (million)
% 0.61/0.80  % (18464)------------------------------
% 0.61/0.80  % (18464)------------------------------
% 0.61/0.80  % (18462)------------------------------
% 0.61/0.80  % (18462)------------------------------
% 0.61/0.80  % (18465)Refutation not found, incomplete strategy% (18465)------------------------------
% 0.61/0.80  % (18465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (18465)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (18465)Memory used [KB]: 1066
% 0.61/0.80  % (18465)Time elapsed: 0.004 s
% 0.61/0.80  % (18465)Instructions burned: 3 (million)
% 0.61/0.81  % (18465)------------------------------
% 0.61/0.81  % (18465)------------------------------
% 0.61/0.81  % (18459)Refutation not found, incomplete strategy% (18459)------------------------------
% 0.61/0.81  % (18459)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (18459)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (18459)Memory used [KB]: 1107
% 0.61/0.81  % (18459)Time elapsed: 0.006 s
% 0.61/0.81  % (18459)Instructions burned: 6 (million)
% 0.61/0.81  % (18467)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  % (18459)------------------------------
% 0.61/0.81  % (18459)------------------------------
% 0.61/0.81  % (18463)Refutation not found, incomplete strategy% (18463)------------------------------
% 0.61/0.81  % (18463)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (18463)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (18463)Memory used [KB]: 1274
% 0.61/0.81  % (18463)Time elapsed: 0.008 s
% 0.61/0.81  % (18463)Instructions burned: 12 (million)
% 0.61/0.81  % (18463)------------------------------
% 0.61/0.81  % (18463)------------------------------
% 0.61/0.81  % (18468)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  % (18469)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  % (18470)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 (2995ds/52Mi)
% 0.61/0.81  % (18471)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.61/0.81  % (18472)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.81  % (18471)Refutation not found, incomplete strategy% (18471)------------------------------
% 0.61/0.81  % (18471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (18471)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (18471)Memory used [KB]: 1083
% 0.61/0.81  % (18471)Time elapsed: 0.004 s
% 0.61/0.81  % (18471)Instructions burned: 4 (million)
% 0.61/0.81  % (18471)------------------------------
% 0.61/0.81  % (18471)------------------------------
% 0.61/0.81  % (18468)Refutation not found, incomplete strategy% (18468)------------------------------
% 0.61/0.81  % (18468)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (18468)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (18468)Memory used [KB]: 1266
% 0.61/0.81  % (18468)Time elapsed: 0.008 s
% 0.61/0.82  % (18468)Instructions burned: 13 (million)
% 0.61/0.82  % (18468)------------------------------
% 0.61/0.82  % (18468)------------------------------
% 0.61/0.82  % (18475)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.82  % (18472)Refutation not found, incomplete strategy% (18472)------------------------------
% 0.61/0.82  % (18472)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (18472)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (18472)Memory used [KB]: 1274
% 0.61/0.82  % (18472)Time elapsed: 0.007 s
% 0.61/0.82  % (18472)Instructions burned: 11 (million)
% 0.61/0.82  % (18472)------------------------------
% 0.61/0.82  % (18472)------------------------------
% 0.61/0.82  % (18475)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.82  % (18476)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.82  % (18476)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.82  % (18478)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.61/0.82  % (18478)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.83  % (18476)Refutation not found, incomplete strategy% (18476)------------------------------
% 0.61/0.83  % (18476)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (18476)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (18476)Memory used [KB]: 1290
% 0.61/0.83  % (18476)Time elapsed: 0.009 s
% 0.61/0.83  % (18476)Instructions burned: 15 (million)
% 0.61/0.83  % (18476)------------------------------
% 0.61/0.83  % (18476)------------------------------
% 0.61/0.83  % (18481)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.83  % (18460)Instruction limit reached!
% 0.61/0.83  % (18460)------------------------------
% 0.61/0.83  % (18460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (18460)Termination reason: Unknown
% 0.61/0.83  % (18460)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (18460)Memory used [KB]: 1681
% 0.61/0.83  % (18460)Time elapsed: 0.031 s
% 0.61/0.83  % (18460)Instructions burned: 52 (million)
% 0.61/0.83  % (18460)------------------------------
% 0.61/0.83  % (18460)------------------------------
% 0.61/0.83  % (18481)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.83  % (18467)Instruction limit reached!
% 0.61/0.83  % (18467)------------------------------
% 0.61/0.83  % (18467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.83  % (18467)Termination reason: Unknown
% 0.61/0.83  % (18467)Termination phase: Saturation
% 0.61/0.83  
% 0.61/0.83  % (18467)Memory used [KB]: 1706
% 0.61/0.83  % (18467)Time elapsed: 0.029 s
% 0.61/0.83  % (18467)Instructions burned: 56 (million)
% 0.61/0.83  % (18467)------------------------------
% 0.61/0.83  % (18467)------------------------------
% 0.61/0.83  % (18482)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.84  % (18482)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.84  % (18484)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.61/0.84  % (18470)Instruction limit reached!
% 0.61/0.84  % (18470)------------------------------
% 0.61/0.84  % (18470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (18470)Termination reason: Unknown
% 0.61/0.84  % (18470)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (18470)Memory used [KB]: 1820
% 0.61/0.84  % (18470)Time elapsed: 0.032 s
% 0.61/0.84  % (18470)Instructions burned: 52 (million)
% 0.61/0.84  % (18470)------------------------------
% 0.61/0.84  % (18470)------------------------------
% 0.61/0.84  % (18484)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.84  % (18461)Instruction limit reached!
% 0.61/0.84  % (18461)------------------------------
% 0.61/0.84  % (18461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (18461)Termination reason: Unknown
% 0.61/0.84  % (18461)Termination phase: Saturation
% 0.61/0.84  
% 0.61/0.84  % (18461)Memory used [KB]: 1998
% 0.61/0.84  % (18461)Time elapsed: 0.042 s
% 0.61/0.84  % (18461)Instructions burned: 78 (million)
% 0.61/0.84  % (18461)------------------------------
% 0.61/0.84  % (18461)------------------------------
% 0.61/0.84  % (18485)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.61/0.84  % (18486)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.85  % (18486)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.85  % (18486)Refutation not found, incomplete strategy% (18486)------------------------------
% 0.61/0.85  % (18486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (18486)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.85  
% 0.61/0.85  % (18486)Memory used [KB]: 1304
% 0.61/0.85  % (18486)Time elapsed: 0.009 s
% 0.61/0.85  % (18486)Instructions burned: 16 (million)
% 0.61/0.85  % (18484)Instruction limit reached!
% 0.61/0.85  % (18484)------------------------------
% 0.61/0.85  % (18484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (18484)Termination reason: Unknown
% 0.61/0.85  % (18484)Termination phase: Saturation
% 0.61/0.85  
% 0.61/0.85  % (18484)Memory used [KB]: 1446
% 0.61/0.85  % (18484)Time elapsed: 0.017 s
% 0.61/0.85  % (18484)Instructions burned: 32 (million)
% 0.61/0.85  % (18484)------------------------------
% 0.61/0.85  % (18484)------------------------------
% 0.61/0.85  % (18486)------------------------------
% 0.61/0.85  % (18486)------------------------------
% 0.61/0.86  % (18488)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.61/0.86  % (18489)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.61/0.86  % (18488)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.86  % (18488)Refutation not found, incomplete strategy% (18488)------------------------------
% 0.61/0.86  % (18488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.86  % (18488)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.86  
% 0.61/0.86  % (18488)Memory used [KB]: 1076
% 0.61/0.86  % (18488)Time elapsed: 0.003 s
% 0.61/0.86  % (18488)Instructions burned: 3 (million)
% 0.61/0.86  % (18488)------------------------------
% 0.61/0.86  % (18488)------------------------------
% 0.61/0.86  % (18489)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.61/0.86  % (18493)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.61/0.86  % (18489)Refutation not found, incomplete strategy% (18489)------------------------------
% 0.61/0.86  % (18489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.86  % (18489)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.86  
% 0.61/0.86  % (18489)Memory used [KB]: 1291
% 0.61/0.86  % (18489)Time elapsed: 0.008 s
% 0.61/0.86  % (18489)Instructions burned: 14 (million)
% 0.61/0.86  % (18489)------------------------------
% 0.61/0.86  % (18489)------------------------------
% 0.61/0.87  % (18495)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.61/0.87  % (18482)Instruction limit reached!
% 0.61/0.87  % (18482)------------------------------
% 0.61/0.87  % (18482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.87  % (18482)Termination reason: Unknown
% 0.61/0.87  % (18482)Termination phase: Saturation
% 0.61/0.87  
% 0.61/0.87  % (18482)Memory used [KB]: 1963
% 0.61/0.87  % (18482)Time elapsed: 0.034 s
% 0.61/0.87  % (18482)Instructions burned: 62 (million)
% 0.61/0.87  % (18482)------------------------------
% 0.61/0.87  % (18482)------------------------------
% 0.94/0.87  % (18496)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.94/0.87  % (18496)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.94/0.88  % (18481)Instruction limit reached!
% 0.94/0.88  % (18481)------------------------------
% 0.94/0.88  % (18481)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.88  % (18481)Termination reason: Unknown
% 0.94/0.88  % (18481)Termination phase: Saturation
% 0.94/0.88  
% 0.94/0.88  % (18481)Memory used [KB]: 1857
% 0.94/0.88  % (18481)Time elapsed: 0.051 s
% 0.94/0.88  % (18481)Instructions burned: 94 (million)
% 0.94/0.88  % (18481)------------------------------
% 0.94/0.88  % (18481)------------------------------
% 0.94/0.88  % (18497)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2994ds/109Mi)
% 0.94/0.88  % (18495)Instruction limit reached!
% 0.94/0.88  % (18495)------------------------------
% 0.94/0.88  % (18495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.88  % (18495)Termination reason: Unknown
% 0.94/0.88  % (18495)Termination phase: Saturation
% 0.94/0.88  
% 0.94/0.88  % (18495)Memory used [KB]: 1445
% 0.94/0.88  % (18495)Time elapsed: 0.020 s
% 0.94/0.88  % (18495)Instructions burned: 35 (million)
% 0.94/0.88  % (18495)------------------------------
% 0.94/0.88  % (18495)------------------------------
% 0.94/0.89  % (18500)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 0.94/0.89  % (18485)First to succeed.
% 0.94/0.89  % (18485)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18433"
% 0.94/0.89  % (18485)Refutation found. Thanks to Tanya!
% 0.94/0.89  % SZS status Theorem for Vampire---4
% 0.94/0.89  % SZS output start Proof for Vampire---4
% See solution above
% 0.94/0.89  % (18485)------------------------------
% 0.94/0.89  % (18485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.94/0.89  % (18485)Termination reason: Refutation
% 0.94/0.89  
% 0.94/0.89  % (18485)Memory used [KB]: 1814
% 0.94/0.89  % (18485)Time elapsed: 0.048 s
% 0.94/0.89  % (18485)Instructions burned: 91 (million)
% 0.94/0.89  % (18433)Success in time 0.529 s
% 0.94/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------