TSTP Solution File: DAT031_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT031_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n011.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 02:18:36 EDT 2024

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   37 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   31 (   9   ~;  10   |;   7   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :   59 (  12 atm;   0 fun;  32 num;  15 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   4 usr;   7 con; 0-2 aty)
%            Number of variables   :   24 (  20   !;   4   ?;  24   :)

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

tff(func_def_0,type,
    empty: collection ).

tff(func_def_1,type,
    add: ( $int * collection ) > collection ).

tff(func_def_2,type,
    remove: ( $int * collection ) > collection ).

tff(func_def_12,type,
    sK0: collection ).

tff(pred_def_1,type,
    in: ( $int * collection ) > $o ).

tff(f51,plain,
    $false,
    inference(evaluation,[],[f50]) ).

tff(f50,plain,
    ( $less(40,30)
    | $less(30,20) ),
    inference(resolution,[],[f45,f24]) ).

tff(f24,plain,
    ! [X1: $int] :
      ( ~ in(X1,sK0)
      | $less(40,X1)
      | $less(X1,20) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ? [X0: collection] :
      ( ! [X1: $int] :
          ( ~ in(X1,X0)
          | $less(40,X1)
          | $less(X1,20) )
      & ( add(10,add(30,add(50,empty))) = X0 ) ),
    inference(ennf_transformation,[],[f8]) ).

tff(f8,plain,
    ~ ! [X0: collection] :
        ( ( add(10,add(30,add(50,empty))) = X0 )
       => ? [X1: $int] :
            ( in(X1,X0)
            & ~ $less(40,X1)
            & ~ $less(X1,20) ) ),
    inference(theory_normalization,[],[f7]) ).

tff(f7,negated_conjecture,
    ~ ! [X0: collection] :
        ( ( add(10,add(30,add(50,empty))) = X0 )
       => ? [X1: $int] :
            ( in(X1,X0)
            & $lesseq(X1,40)
            & $lesseq(20,X1) ) ),
    inference(negated_conjecture,[],[f6]) ).

tff(f6,conjecture,
    ! [X0: collection] :
      ( ( add(10,add(30,add(50,empty))) = X0 )
     => ? [X1: $int] :
          ( in(X1,X0)
          & $lesseq(X1,40)
          & $lesseq(20,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.mZToKfUiPA/Vampire---4.8_30497',co1) ).

tff(f45,plain,
    in(30,sK0),
    inference(unit_resulting_resolution,[],[f31,f33]) ).

tff(f33,plain,
    ! [X0: $int] :
      ( ~ in(X0,add(30,add(50,empty)))
      | in(X0,sK0) ),
    inference(superposition,[],[f27,f25]) ).

tff(f25,plain,
    add(10,add(30,add(50,empty))) = sK0,
    inference(cnf_transformation,[],[f23]) ).

tff(f27,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( in(X0,add(X2,X1))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int,X1: collection,X2: $int] :
      ( ( ( X0 = X2 )
        | in(X0,X1) )
    <=> in(X0,add(X2,X1)) ),
    inference(rectify,[],[f4]) ).

tff(f4,axiom,
    ! [X5: $int,X6: collection,X7: $int] :
      ( ( ( X5 = X7 )
        | in(X5,X6) )
    <=> in(X5,add(X7,X6)) ),
    file('/export/starexec/sandbox/tmp/tmp.mZToKfUiPA/Vampire---4.8_30497',ax4) ).

tff(f31,plain,
    ! [X2: $int,X1: collection] : in(X2,add(X2,X1)),
    inference(equality_resolution,[],[f28]) ).

tff(f28,plain,
    ! [X2: $int,X0: $int,X1: collection] :
      ( in(X0,add(X2,X1))
      | ( X0 != X2 ) ),
    inference(cnf_transformation,[],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : DAT031_1 : TPTP v8.1.2. Released v5.0.0.
% 0.11/0.15  % 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
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:36:31 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TF0_THM_EQU_ARI problem
% 0.15/0.37  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.mZToKfUiPA/Vampire---4.8_30497
% 0.57/0.75  % (30855)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)
% 0.57/0.75  % (30855)Refutation not found, incomplete strategy% (30855)------------------------------
% 0.57/0.75  % (30855)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (30855)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (30855)Memory used [KB]: 978
% 0.57/0.75  % (30855)Time elapsed: 0.002 s
% 0.57/0.75  % (30855)Instructions burned: 3 (million)
% 0.57/0.75  % (30855)------------------------------
% 0.57/0.75  % (30855)------------------------------
% 0.57/0.75  % (30848)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)
% 0.57/0.75  % (30850)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (30849)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)
% 0.57/0.75  % (30851)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)
% 0.57/0.75  % (30853)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)
% 0.57/0.75  % (30854)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)
% 0.57/0.75  % (30852)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)
% 0.57/0.75  % (30853)Refutation not found, incomplete strategy% (30853)------------------------------
% 0.57/0.75  % (30853)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (30853)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (30853)Memory used [KB]: 981
% 0.57/0.75  % (30853)Time elapsed: 0.003 s
% 0.57/0.75  % (30852)Refutation not found, incomplete strategy% (30852)------------------------------
% 0.57/0.75  % (30852)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (30852)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (30852)Memory used [KB]: 982
% 0.57/0.75  % (30852)Time elapsed: 0.003 s
% 0.57/0.75  % (30852)Instructions burned: 3 (million)
% 0.57/0.75  % (30852)------------------------------
% 0.57/0.75  % (30852)------------------------------
% 0.57/0.75  % (30853)Instructions burned: 3 (million)
% 0.57/0.75  % (30853)------------------------------
% 0.57/0.75  % (30853)------------------------------
% 0.57/0.76  % (30858)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)
% 0.57/0.76  % (30854)First to succeed.
% 0.57/0.76  % (30849)Also succeeded, but the first one will report.
% 0.57/0.76  % (30854)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Theorem for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (30854)------------------------------
% 0.57/0.76  % (30854)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (30854)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (30854)Memory used [KB]: 990
% 0.57/0.76  % (30854)Time elapsed: 0.004 s
% 0.57/0.76  % (30854)Instructions burned: 4 (million)
% 0.57/0.76  % (30854)------------------------------
% 0.57/0.76  % (30854)------------------------------
% 0.57/0.76  % (30744)Success in time 0.382 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------