TSTP Solution File: NUN015_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUN015_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 08:44:12 EDT 2024

% Result   : Theorem 0.66s 0.79s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   55
% Syntax   : Number of formulae    :   93 (  40 unt;  41 typ;   0 def)
%            Number of atoms       :   77 (  43 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   47 (  22   ~;  19   |;   1   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   14 (   9   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-4 aty)
%            Number of variables   :   67 (  44   !;   0   ?;  67   :)
%                                         (  23  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    nat: $tType ).

tff(type_def_8,type,
    fun: ( $tType * $tType ) > $tType ).

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

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

tff(func_def_2,type,
    bit0: int > int ).

tff(func_def_3,type,
    bit1: int > int ).

tff(func_def_4,type,
    pls: int ).

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

tff(func_def_6,type,
    power_power: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

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

tff(func_def_8,type,
    fFalse: bool ).

tff(func_def_9,type,
    fTrue: bool ).

tff(func_def_10,type,
    n: nat ).

tff(func_def_11,type,
    tn: nat ).

tff(func_def_12,type,
    v: int ).

tff(func_def_13,type,
    w: int ).

tff(func_def_14,type,
    sF0: int ).

tff(func_def_15,type,
    sF1: int ).

tff(func_def_16,type,
    sF2: int ).

tff(func_def_17,type,
    sF3: nat ).

tff(func_def_18,type,
    sF4: int ).

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

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

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

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

tff(pred_def_5,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_7,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

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

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

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

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

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

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

tff(pred_def_14,type,
    ring_11004092258visors: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    ordere236663937imp_le: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_18,type,
    pp: bool > $o ).

tff(f936,plain,
    $false,
    inference(subsumption_resolution,[],[f931,f370]) ).

tff(f370,plain,
    v != zero_zero(int),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    v != zero_zero(int),
    file('/export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545',fact_0__096v_A_126_061_A0_096) ).

tff(f931,plain,
    v = zero_zero(int),
    inference(resolution,[],[f891,f431]) ).

tff(f431,plain,
    ~ ord_less(int,zero_zero(int),power_power(int,v,sF3)),
    inference(backward_demodulation,[],[f420,f412]) ).

tff(f412,plain,
    power_power(int,v,sF3) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

tff(f420,plain,
    ~ ord_less(int,zero_zero(int),sF4),
    inference(backward_demodulation,[],[f413,f408]) ).

tff(f408,plain,
    zero_zero(int) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

tff(f413,plain,
    ~ ord_less(int,sF0,sF4),
    inference(definition_folding,[],[f266,f412,f411,f410,f409,f408]) ).

tff(f409,plain,
    bit1(pls) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

tff(f410,plain,
    bit0(sF1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

tff(f411,plain,
    number_number_of(nat,sF2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

tff(f266,plain,
    ~ ord_less(int,zero_zero(int),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),
    inference(cnf_transformation,[],[f129]) ).

tff(f129,plain,
    ~ ord_less(int,zero_zero(int),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),
    inference(flattening,[],[f128]) ).

tff(f128,negated_conjecture,
    ~ ord_less(int,zero_zero(int),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),
    inference(negated_conjecture,[],[f127]) ).

tff(f127,conjecture,
    ord_less(int,zero_zero(int),power_power(int,v,number_number_of(nat,bit0(bit1(pls))))),
    file('/export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545',conj_0) ).

tff(f891,plain,
    ! [X0: int] :
      ( ord_less(int,zero_zero(int),power_power(int,X0,sF3))
      | ( zero_zero(int) = X0 ) ),
    inference(resolution,[],[f890,f371]) ).

tff(f371,plain,
    linordered_idom(int),
    inference(cnf_transformation,[],[f104]) ).

tff(f104,axiom,
    linordered_idom(int),
    file('/export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545',arity_Int_Oint___Rings_Olinordered__idom) ).

tff(f890,plain,
    ! [X0: $tType,X1: X0] :
      ( ~ linordered_idom(X0)
      | ( zero_zero(X0) = X1 )
      | ord_less(X0,zero_zero(X0),power_power(X0,X1,sF3)) ),
    inference(forward_demodulation,[],[f889,f438]) ).

tff(f438,plain,
    sF3 = number_number_of(nat,plus_plus(int,sF1,sF1)),
    inference(backward_demodulation,[],[f411,f433]) ).

tff(f433,plain,
    sF2 = plus_plus(int,sF1,sF1),
    inference(backward_demodulation,[],[f410,f292]) ).

tff(f292,plain,
    ! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
    inference(cnf_transformation,[],[f141]) ).

tff(f141,plain,
    ! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
    inference(rectify,[],[f75]) ).

tff(f75,axiom,
    ! [X8: int] : ( bit0(X8) = plus_plus(int,X8,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545',fact_74_Bit0__def) ).

tff(f889,plain,
    ! [X0: $tType,X1: X0] :
      ( ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,plus_plus(int,sF1,sF1))))
      | ( zero_zero(X0) = X1 )
      | ~ linordered_idom(X0) ),
    inference(forward_demodulation,[],[f888,f429]) ).

tff(f429,plain,
    ! [X0: int] : ( plus_plus(int,X0,zero_zero(int)) = X0 ),
    inference(forward_demodulation,[],[f328,f286]) ).

tff(f286,plain,
    zero_zero(int) = pls,
    inference(cnf_transformation,[],[f38]) ).

tff(f38,axiom,
    zero_zero(int) = pls,
    file('/export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545',fact_37_Pls__def) ).

tff(f328,plain,
    ! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
    inference(cnf_transformation,[],[f163]) ).

tff(f163,plain,
    ! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
    inference(rectify,[],[f74]) ).

tff(f74,axiom,
    ! [X8: int] : ( plus_plus(int,X8,pls) = X8 ),
    file('/export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545',fact_73_add__Pls__right) ).

tff(f888,plain,
    ! [X0: $tType,X1: X0] :
      ( ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,plus_plus(int,plus_plus(int,sF1,zero_zero(int)),plus_plus(int,sF1,zero_zero(int))))))
      | ( zero_zero(X0) = X1 )
      | ~ linordered_idom(X0) ),
    inference(forward_demodulation,[],[f887,f429]) ).

tff(f887,plain,
    ! [X0: $tType,X1: X0] :
      ( ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,plus_plus(int,plus_plus(int,sF1,plus_plus(int,zero_zero(int),zero_zero(int))),plus_plus(int,sF1,plus_plus(int,zero_zero(int),zero_zero(int)))))))
      | ( zero_zero(X0) = X1 )
      | ~ linordered_idom(X0) ),
    inference(forward_demodulation,[],[f886,f286]) ).

tff(f886,plain,
    ! [X0: $tType,X1: X0] :
      ( ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,plus_plus(int,plus_plus(int,sF1,plus_plus(int,pls,pls)),plus_plus(int,sF1,plus_plus(int,pls,pls))))))
      | ( zero_zero(X0) = X1 )
      | ~ linordered_idom(X0) ),
    inference(forward_demodulation,[],[f885,f697]) ).

tff(f697,plain,
    ! [X0: int] : ( bit1(X0) = plus_plus(int,sF1,plus_plus(int,X0,X0)) ),
    inference(forward_demodulation,[],[f678,f421]) ).

tff(f421,plain,
    sF1 = bit1(zero_zero(int)),
    inference(forward_demodulation,[],[f409,f286]) ).

tff(f678,plain,
    ! [X0: int] : ( bit1(X0) = plus_plus(int,bit1(zero_zero(int)),plus_plus(int,X0,X0)) ),
    inference(superposition,[],[f515,f430]) ).

tff(f430,plain,
    ! [X0: int] : ( plus_plus(int,zero_zero(int),X0) = X0 ),
    inference(forward_demodulation,[],[f329,f286]) ).

tff(f329,plain,
    ! [X0: int] : ( plus_plus(int,pls,X0) = X0 ),
    inference(cnf_transformation,[],[f164]) ).

tff(f164,plain,
    ! [X0: int] : ( plus_plus(int,pls,X0) = X0 ),
    inference(rectify,[],[f73]) ).

tff(f73,axiom,
    ! [X8: int] : ( plus_plus(int,pls,X8) = X8 ),
    file('/export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545',fact_72_add__Pls) ).

tff(f515,plain,
    ! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit1(X1),plus_plus(int,X0,X0)) ),
    inference(forward_demodulation,[],[f293,f292]) ).

tff(f293,plain,
    ! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit1(X1),bit0(X0)) ),
    inference(cnf_transformation,[],[f142]) ).

tff(f142,plain,
    ! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit1(X1),bit0(X0)) ),
    inference(rectify,[],[f62]) ).

tff(f62,axiom,
    ! [X9: int,X8: int] : ( bit1(plus_plus(int,X8,X9)) = plus_plus(int,bit1(X8),bit0(X9)) ),
    file('/export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545',fact_61_add__Bit1__Bit0) ).

tff(f885,plain,
    ! [X0: $tType,X1: X0] :
      ( ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,plus_plus(int,bit1(pls),bit1(pls)))))
      | ( zero_zero(X0) = X1 )
      | ~ linordered_idom(X0) ),
    inference(forward_demodulation,[],[f358,f292]) ).

tff(f358,plain,
    ! [X0: $tType,X1: X0] :
      ( ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))))
      | ( zero_zero(X0) = X1 )
      | ~ linordered_idom(X0) ),
    inference(cnf_transformation,[],[f258]) ).

tff(f258,plain,
    ! [X0: $tType] :
      ( ! [X1: X0] :
          ( ( ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))))
            | ( zero_zero(X0) = X1 ) )
          & ( ( zero_zero(X0) != X1 )
            | ~ ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,bit0(bit1(pls))))) ) )
      | ~ linordered_idom(X0) ),
    inference(nnf_transformation,[],[f204]) ).

tff(f204,plain,
    ! [X0: $tType] :
      ( ! [X1: X0] :
          ( ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))))
        <=> ( zero_zero(X0) != X1 ) )
      | ~ linordered_idom(X0) ),
    inference(ennf_transformation,[],[f177]) ).

tff(f177,plain,
    ! [X0: $tType] :
      ( linordered_idom(X0)
     => ! [X1: X0] :
          ( ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))))
        <=> ( zero_zero(X0) != X1 ) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,axiom,
    ! [X0: $tType] :
      ( linordered_idom(X0)
     => ! [X2: X0] :
          ( ord_less(X0,zero_zero(X0),power_power(X0,X2,number_number_of(nat,bit0(bit1(pls)))))
        <=> ( zero_zero(X0) != X2 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545',fact_1_zero__less__power2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUN015_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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n013.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 18:54:53 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.p0LysH4pVk/Vampire---4.8_18545
% 0.54/0.74  % (18872)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)
% 0.54/0.74  % (18865)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)
% 0.54/0.74  % (18868)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)
% 0.54/0.74  % (18867)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74  % (18866)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)
% 0.54/0.74  % (18869)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)
% 0.54/0.74  % (18870)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)
% 0.54/0.75  % (18871)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)
% 0.54/0.75  % (18872)Refutation not found, incomplete strategy% (18872)------------------------------
% 0.54/0.75  % (18872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (18872)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (18872)Memory used [KB]: 1138
% 0.54/0.75  % (18872)Time elapsed: 0.003 s
% 0.54/0.75  % (18872)Instructions burned: 7 (million)
% 0.54/0.75  % (18872)------------------------------
% 0.54/0.75  % (18872)------------------------------
% 0.54/0.75  % (18871)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.54/0.75  % (18871)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.54/0.75  % (18870)Refutation not found, incomplete strategy% (18870)------------------------------
% 0.54/0.75  % (18870)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (18870)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (18870)Memory used [KB]: 1135
% 0.54/0.75  % (18870)Time elapsed: 0.005 s
% 0.54/0.75  % (18870)Instructions burned: 7 (million)
% 0.54/0.75  % (18874)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)
% 0.54/0.75  % (18870)------------------------------
% 0.54/0.75  % (18870)------------------------------
% 0.54/0.75  % (18869)Refutation not found, incomplete strategy% (18869)------------------------------
% 0.54/0.75  % (18869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (18869)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (18869)Memory used [KB]: 1242
% 0.54/0.75  % (18869)Time elapsed: 0.007 s
% 0.54/0.75  % (18869)Instructions burned: 12 (million)
% 0.54/0.75  % (18869)------------------------------
% 0.54/0.75  % (18869)------------------------------
% 0.54/0.75  % (18875)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 (2996ds/50Mi)
% 0.54/0.76  % (18879)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 (2996ds/208Mi)
% 0.54/0.76  % (18865)Instruction limit reached!
% 0.54/0.76  % (18865)------------------------------
% 0.54/0.76  % (18865)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (18865)Termination reason: Unknown
% 0.54/0.76  % (18865)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (18865)Memory used [KB]: 1777
% 0.54/0.76  % (18865)Time elapsed: 0.017 s
% 0.54/0.76  % (18865)Instructions burned: 34 (million)
% 0.54/0.76  % (18865)------------------------------
% 0.54/0.76  % (18865)------------------------------
% 0.54/0.76  % (18868)Instruction limit reached!
% 0.54/0.76  % (18868)------------------------------
% 0.54/0.76  % (18868)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (18868)Termination reason: Unknown
% 0.54/0.76  % (18868)Termination phase: Saturation
% 0.54/0.76  
% 0.54/0.76  % (18868)Memory used [KB]: 1521
% 0.54/0.76  % (18868)Time elapsed: 0.021 s
% 0.54/0.76  % (18868)Instructions burned: 34 (million)
% 0.54/0.76  % (18868)------------------------------
% 0.54/0.76  % (18868)------------------------------
% 0.54/0.76  % (18884)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 (2996ds/52Mi)
% 0.54/0.77  % (18874)Instruction limit reached!
% 0.54/0.77  % (18874)------------------------------
% 0.54/0.77  % (18874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77  % (18874)Termination reason: Unknown
% 0.54/0.77  % (18874)Termination phase: Saturation
% 0.54/0.77  
% 0.54/0.77  % (18874)Memory used [KB]: 1706
% 0.54/0.77  % (18874)Time elapsed: 0.018 s
% 0.54/0.77  % (18874)Instructions burned: 56 (million)
% 0.54/0.77  % (18874)------------------------------
% 0.54/0.77  % (18874)------------------------------
% 0.66/0.77  % (18890)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 (2996ds/518Mi)
% 0.66/0.77  % (18893)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 (2996ds/42Mi)
% 0.66/0.77  % (18893)Refutation not found, incomplete strategy% (18893)------------------------------
% 0.66/0.77  % (18893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77  % (18890)Refutation not found, incomplete strategy% (18890)------------------------------
% 0.66/0.77  % (18890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77  % (18893)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.77  
% 0.66/0.77  % (18893)Memory used [KB]: 1244
% 0.66/0.77  % (18893)Time elapsed: 0.004 s
% 0.66/0.77  % (18893)Instructions burned: 12 (million)
% 0.66/0.77  % (18890)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.77  
% 0.66/0.77  % (18890)Memory used [KB]: 1136
% 0.66/0.77  % (18890)Time elapsed: 0.006 s
% 0.66/0.77  % (18890)Instructions burned: 8 (million)
% 0.66/0.77  % (18893)------------------------------
% 0.66/0.77  % (18893)------------------------------
% 0.66/0.77  % (18890)------------------------------
% 0.66/0.77  % (18890)------------------------------
% 0.66/0.77  % (18866)Instruction limit reached!
% 0.66/0.77  % (18866)------------------------------
% 0.66/0.77  % (18866)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.77  % (18866)Termination reason: Unknown
% 0.66/0.77  % (18866)Termination phase: Saturation
% 0.66/0.77  
% 0.66/0.77  % (18866)Memory used [KB]: 1600
% 0.66/0.77  % (18866)Time elapsed: 0.031 s
% 0.66/0.77  % (18866)Instructions burned: 52 (million)
% 0.66/0.77  % (18866)------------------------------
% 0.66/0.77  % (18866)------------------------------
% 0.66/0.78  % (18898)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 (2996ds/243Mi)
% 0.66/0.78  % (18898)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.66/0.78  % (18899)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 (2996ds/117Mi)
% 0.66/0.78  % (18901)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)
% 0.66/0.78  % (18899)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.66/0.78  % (18901)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.66/0.78  % (18875)Instruction limit reached!
% 0.66/0.78  % (18875)------------------------------
% 0.66/0.78  % (18875)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.78  % (18875)Termination reason: Unknown
% 0.66/0.78  % (18875)Termination phase: Saturation
% 0.66/0.78  
% 0.66/0.78  % (18875)Memory used [KB]: 1746
% 0.66/0.78  % (18875)Time elapsed: 0.028 s
% 0.66/0.78  % (18875)Instructions burned: 50 (million)
% 0.66/0.78  % (18875)------------------------------
% 0.66/0.78  % (18875)------------------------------
% 0.66/0.78  % (18904)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)
% 0.66/0.78  % (18904)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.66/0.79  % (18898)First to succeed.
% 0.66/0.79  % (18871)Instruction limit reached!
% 0.66/0.79  % (18871)------------------------------
% 0.66/0.79  % (18871)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (18871)Termination reason: Unknown
% 0.66/0.79  % (18871)Termination phase: Saturation
% 0.66/0.79  
% 0.66/0.79  % (18871)Memory used [KB]: 1797
% 0.66/0.79  % (18871)Time elapsed: 0.045 s
% 0.66/0.79  % (18871)Instructions burned: 84 (million)
% 0.66/0.79  % (18871)------------------------------
% 0.66/0.79  % (18871)------------------------------
% 0.66/0.79  % (18898)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18798"
% 0.66/0.79  % (18867)Instruction limit reached!
% 0.66/0.79  % (18867)------------------------------
% 0.66/0.79  % (18867)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (18898)Refutation found. Thanks to Tanya!
% 0.66/0.79  % SZS status Theorem for Vampire---4
% 0.66/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.79  % (18898)------------------------------
% 0.66/0.79  % (18898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.79  % (18898)Termination reason: Refutation
% 0.66/0.79  
% 0.66/0.79  % (18898)Memory used [KB]: 1313
% 0.66/0.79  % (18898)Time elapsed: 0.014 s
% 0.66/0.79  % (18898)Instructions burned: 38 (million)
% 0.66/0.79  % (18798)Success in time 0.414 s
% 0.66/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------