TSTP Solution File: COM035_5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM035_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 : Wed May  1 02:13:19 EDT 2024

% Result   : Theorem 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   55
% Syntax   : Number of formulae    :   65 (  14 unt;  51 typ;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   25 (  16   >;   9   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  20 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  11 con; 0-4 aty)
%            Number of variables   :   39 (   9   !;   0   ?;  39   :)
%                                         (  30  !>;   0  ?*;   0  @-;   0  @+)

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

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

tff(type_def_7,type,
    list: $tType > $tType ).

tff(type_def_8,type,
    nat: $tType ).

tff(type_def_9,type,
    atom: $tType ).

tff(type_def_10,type,
    fun: ( $tType * $tType ) > $tType ).

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

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

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

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

tff(func_def_4,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_5,type,
    iprod: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > X0 ) ).

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

tff(func_def_7,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_8,type,
    dvd: ( int * int * list(int) ) > atom ).

tff(func_def_9,type,
    atom_size: atom > nat ).

tff(func_def_10,type,
    divisor: atom > int ).

tff(func_def_11,type,
    hd_coeff: atom > int ).

tff(func_def_12,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_13,type,
    fFalse: bool ).

tff(func_def_14,type,
    fTrue: bool ).

tff(func_def_15,type,
    a: atom ).

tff(func_def_16,type,
    d: int ).

tff(func_def_17,type,
    e: list(int) ).

tff(func_def_18,type,
    i: int ).

tff(func_def_19,type,
    j: int ).

tff(func_def_20,type,
    ks1: list(int) ).

tff(func_def_21,type,
    ks: list(int) ).

tff(func_def_22,type,
    l: int ).

tff(func_def_23,type,
    sK0: list(int) ).

tff(func_def_24,type,
    sK1: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

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

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

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

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

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

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

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

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

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

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

tff(pred_def_11,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

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

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

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

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

tff(pred_def_16,type,
    cancel146912293up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_18,type,
    semiri456707255roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_19,type,
    nat_is_nat: int > $o ).

tff(pred_def_20,type,
    pp: bool > $o ).

tff(f349,plain,
    $false,
    inference(subsumption_resolution,[],[f348,f247]) ).

tff(f247,plain,
    div_mod(int,i,d) != div_mod(int,j,d),
    inference(cnf_transformation,[],[f137]) ).

tff(f137,plain,
    div_mod(int,i,d) != div_mod(int,j,d),
    inference(flattening,[],[f136]) ).

tff(f136,negated_conjecture,
    ( ~ div_mod(int,i,d) = div_mod(int,j,d) ),
    inference(negated_conjecture,[],[f135]) ).

tff(f135,conjecture,
    div_mod(int,i,d) = div_mod(int,j,d),
    file('/export/starexec/sandbox/tmp/tmp.okGdLWXuXe/Vampire---4.8_6074',conj_0) ).

tff(f348,plain,
    div_mod(int,i,d) = div_mod(int,j,d),
    inference(backward_demodulation,[],[f259,f347]) ).

tff(f347,plain,
    d = divisor(a),
    inference(superposition,[],[f265,f258]) ).

tff(f258,plain,
    a = dvd(d,l,ks),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    a = dvd(d,l,ks),
    file('/export/starexec/sandbox/tmp/tmp.okGdLWXuXe/Vampire---4.8_6074',fact_0_Dvd) ).

tff(f265,plain,
    ! [X2: int,X0: list(int),X1: int] : ( divisor(dvd(X2,X1,X0)) = X2 ),
    inference(cnf_transformation,[],[f149]) ).

tff(f149,plain,
    ! [X0: list(int),X1: int,X2: int] : ( divisor(dvd(X2,X1,X0)) = X2 ),
    inference(rectify,[],[f64]) ).

tff(f64,axiom,
    ! [X26: list(int),X27: int,X28: int] : ( divisor(dvd(X28,X27,X26)) = X28 ),
    file('/export/starexec/sandbox/tmp/tmp.okGdLWXuXe/Vampire---4.8_6074',fact_63_divisor_Osimps_I2_J) ).

tff(f259,plain,
    div_mod(int,i,divisor(a)) = div_mod(int,j,divisor(a)),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    div_mod(int,i,divisor(a)) = div_mod(int,j,divisor(a)),
    file('/export/starexec/sandbox/tmp/tmp.okGdLWXuXe/Vampire---4.8_6074',fact_1_assms_I3_J) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COM035_5 : TPTP v8.1.2. Released v6.0.0.
% 0.11/0.13  % 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
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 18:35:49 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a TF1_THM_EQU_NAR problem
% 0.12/0.34  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.okGdLWXuXe/Vampire---4.8_6074
% 0.60/0.83  % (6186)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)
% 0.60/0.83  % (6190)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)
% 0.60/0.83  % (6188)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)
% 0.60/0.83  % (6187)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.83  % (6185)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)
% 0.60/0.83  % (6189)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)
% 0.60/0.83  % (6191)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)
% 0.60/0.83  % (6192)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)
% 0.60/0.83  % (6192)Refutation not found, incomplete strategy% (6192)------------------------------
% 0.60/0.83  % (6192)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (6192)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (6192)Memory used [KB]: 1072
% 0.60/0.83  % (6191)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.83  % (6192)Time elapsed: 0.003 s
% 0.60/0.83  % (6192)Instructions burned: 3 (million)
% 0.60/0.83  % (6192)------------------------------
% 0.60/0.83  % (6192)------------------------------
% 0.60/0.83  % (6191)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.60/0.83  % (6185)Refutation not found, incomplete strategy% (6185)------------------------------
% 0.60/0.83  % (6185)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (6185)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (6185)Memory used [KB]: 1094
% 0.60/0.83  % (6185)Time elapsed: 0.004 s
% 0.60/0.83  % (6185)Instructions burned: 5 (million)
% 0.60/0.83  % (6185)------------------------------
% 0.60/0.83  % (6185)------------------------------
% 0.60/0.83  % (6190)Refutation not found, incomplete strategy% (6190)------------------------------
% 0.60/0.83  % (6190)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (6190)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (6190)Memory used [KB]: 1134
% 0.60/0.83  % (6190)Time elapsed: 0.005 s
% 0.60/0.83  % (6190)Instructions burned: 6 (million)
% 0.60/0.83  % (6190)------------------------------
% 0.60/0.83  % (6190)------------------------------
% 0.60/0.83  % (6191)Refutation not found, incomplete strategy% (6191)------------------------------
% 0.60/0.83  % (6191)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (6191)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (6191)Memory used [KB]: 1139
% 0.60/0.83  % (6191)Time elapsed: 0.006 s
% 0.60/0.83  % (6191)Instructions burned: 8 (million)
% 0.60/0.83  % (6191)------------------------------
% 0.60/0.83  % (6191)------------------------------
% 0.60/0.83  % (6187)First to succeed.
% 0.60/0.83  % (6189)Refutation not found, incomplete strategy% (6189)------------------------------
% 0.60/0.83  % (6189)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (6189)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (6189)Memory used [KB]: 1261
% 0.60/0.83  % (6189)Time elapsed: 0.007 s
% 0.60/0.83  % (6189)Instructions burned: 11 (million)
% 0.60/0.83  % (6189)------------------------------
% 0.60/0.83  % (6189)------------------------------
% 0.60/0.83  % (6193)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)
% 0.60/0.83  % (6194)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)
% 0.60/0.83  % (6187)Refutation found. Thanks to Tanya!
% 0.60/0.83  % SZS status Theorem for Vampire---4
% 0.60/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83  % (6187)------------------------------
% 0.60/0.83  % (6187)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (6187)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (6187)Memory used [KB]: 1179
% 0.60/0.83  % (6187)Time elapsed: 0.007 s
% 0.60/0.83  % (6187)Instructions burned: 10 (million)
% 0.60/0.83  % (6187)------------------------------
% 0.60/0.83  % (6187)------------------------------
% 0.60/0.83  % (6181)Success in time 0.49 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------