TSTP Solution File: DAT015_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT015_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 02:18:33 EDT 2024

% Result   : Theorem 0.57s 0.78s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   61 (  28 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   57 (  16   ~;  25   |;   9   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  171 (  32 atm;  36 fun;  70 num;  33 var)
%            Number of types       :    2 (   1 usr;   1 ari)
%            Number of type conns  :    5 (   2   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (   3 usr;   7 con; 0-3 aty)
%            Number of variables   :   40 (  33   !;   7   ?;  40   :)

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

tff(func_def_0,type,
    read: ( array * $int ) > $int ).

tff(func_def_1,type,
    write: ( array * $int * $int ) > array ).

tff(func_def_10,type,
    sK0: array ).

tff(f60,plain,
    $false,
    inference(evaluation,[],[f59]) ).

tff(f59,plain,
    ( $less(30,$sum(50,-25))
    | $less($sum(50,-25),20) ),
    inference(equality_resolution,[],[f53]) ).

tff(f53,plain,
    ! [X0: $int] :
      ( ( 50 != X0 )
      | $less(30,$sum(X0,-25))
      | $less($sum(X0,-25),20) ),
    inference(evaluation,[],[f49]) ).

tff(f49,plain,
    ! [X0: $int] :
      ( ( 50 != $sum(X0,0) )
      | $less(30,$sum(X0,$uminus(25)))
      | $less($sum(X0,$uminus(25)),20) ),
    inference(superposition,[],[f36,f10]) ).

tff(f10,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_140,[]) ).

tff(f36,plain,
    ! [X0: $int,X1: $int] :
      ( ( 50 != $sum(X1,$sum(25,X0)) )
      | $less(30,$sum(X1,X0))
      | $less($sum(X1,X0),20) ),
    inference(superposition,[],[f31,f6]) ).

tff(f6,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f31,plain,
    ! [X0: $int,X1: $int] :
      ( ( 50 != $sum(X0,$sum(X1,25)) )
      | $less(30,$sum(X0,X1))
      | $less($sum(X0,X1),20) ),
    inference(superposition,[],[f28,f7]) ).

tff(f7,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
    introduced(theory_axiom_136,[]) ).

tff(f28,plain,
    ! [X0: $int] :
      ( ( 50 != $sum(X0,25) )
      | $less(30,X0)
      | $less(X0,20) ),
    inference(superposition,[],[f25,f24]) ).

tff(f24,plain,
    ! [X2: $int] :
      ( ( $sum(X2,25) = read(sK0,X2) )
      | $less(30,X2)
      | $less(X2,20) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ( ! [X1: $int] : ( 50 != read(sK0,X1) )
    & ! [X2: $int] :
        ( ( $sum(X2,25) = read(sK0,X2) )
        | $less(30,X2)
        | $less(X2,20) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).

tff(f22,plain,
    ( ? [X0: array] :
        ( ! [X1: $int] : ( read(X0,X1) != 50 )
        & ! [X2: $int] :
            ( ( read(X0,X2) = $sum(X2,25) )
            | $less(30,X2)
            | $less(X2,20) ) )
   => ( ! [X1: $int] : ( 50 != read(sK0,X1) )
      & ! [X2: $int] :
          ( ( $sum(X2,25) = read(sK0,X2) )
          | $less(30,X2)
          | $less(X2,20) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f21,plain,
    ? [X0: array] :
      ( ! [X1: $int] : ( read(X0,X1) != 50 )
      & ! [X2: $int] :
          ( ( read(X0,X2) = $sum(X2,25) )
          | $less(30,X2)
          | $less(X2,20) ) ),
    inference(rectify,[],[f20]) ).

tff(f20,plain,
    ? [X0: array] :
      ( ! [X2: $int] : ( read(X0,X2) != 50 )
      & ! [X1: $int] :
          ( ( read(X0,X1) = $sum(X1,25) )
          | $less(30,X1)
          | $less(X1,20) ) ),
    inference(flattening,[],[f19]) ).

tff(f19,plain,
    ? [X0: array] :
      ( ! [X2: $int] : ( read(X0,X2) != 50 )
      & ! [X1: $int] :
          ( ( read(X0,X1) = $sum(X1,25) )
          | $less(30,X1)
          | $less(X1,20) ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,plain,
    ~ ! [X0: array] :
        ( ! [X1: $int] :
            ( ( ~ $less(30,X1)
              & ~ $less(X1,20) )
           => ( read(X0,X1) = $sum(X1,25) ) )
       => ? [X2: $int] : ( read(X0,X2) = 50 ) ),
    inference(theory_normalization,[],[f4]) ).

tff(f4,negated_conjecture,
    ~ ! [X0: array] :
        ( ! [X1: $int] :
            ( ( $lesseq(X1,30)
              & $lesseq(20,X1) )
           => ( read(X0,X1) = $sum(X1,25) ) )
       => ? [X2: $int] : ( read(X0,X2) = 50 ) ),
    inference(negated_conjecture,[],[f3]) ).

tff(f3,conjecture,
    ! [X0: array] :
      ( ! [X1: $int] :
          ( ( $lesseq(X1,30)
            & $lesseq(20,X1) )
         => ( read(X0,X1) = $sum(X1,25) ) )
     => ? [X2: $int] : ( read(X0,X2) = 50 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WEiq5J9uLx/Vampire---4.8_12224',co1) ).

tff(f25,plain,
    ! [X1: $int] : ( 50 != read(sK0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : DAT015_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n008.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 16:33:43 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a TF0_THM_EQU_ARI problem
% 0.16/0.36  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.WEiq5J9uLx/Vampire---4.8_12224
% 0.57/0.75  % (12561)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  % (12561)Refutation not found, incomplete strategy% (12561)------------------------------
% 0.57/0.75  % (12561)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (12561)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (12561)Memory used [KB]: 976
% 0.57/0.75  % (12561)Time elapsed: 0.002 s
% 0.57/0.75  % (12561)Instructions burned: 2 (million)
% 0.57/0.75  % (12561)------------------------------
% 0.57/0.75  % (12561)------------------------------
% 0.57/0.75  % (12554)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  % (12555)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  % (12556)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  % (12557)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  % (12558)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  % (12559)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  % (12560)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  % (12557)Refutation not found, incomplete strategy% (12557)------------------------------
% 0.57/0.75  % (12557)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (12557)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (12557)Memory used [KB]: 979
% 0.57/0.75  % (12557)Time elapsed: 0.003 s
% 0.57/0.75  % (12557)Instructions burned: 3 (million)
% 0.57/0.75  % (12557)------------------------------
% 0.57/0.75  % (12557)------------------------------
% 0.57/0.75  % (12565)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)
% 0.57/0.75  % (12566)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)
% 0.57/0.76  % (12554)Instruction limit reached!
% 0.57/0.76  % (12554)------------------------------
% 0.57/0.76  % (12554)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (12554)Termination reason: Unknown
% 0.57/0.76  % (12554)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (12554)Memory used [KB]: 1123
% 0.57/0.76  % (12554)Time elapsed: 0.019 s
% 0.57/0.76  % (12554)Instructions burned: 35 (million)
% 0.57/0.76  % (12554)------------------------------
% 0.57/0.76  % (12554)------------------------------
% 0.57/0.77  % (12558)Instruction limit reached!
% 0.57/0.77  % (12558)------------------------------
% 0.57/0.77  % (12558)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (12558)Termination reason: Unknown
% 0.57/0.77  % (12558)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (12558)Memory used [KB]: 1184
% 0.57/0.77  % (12558)Time elapsed: 0.021 s
% 0.57/0.77  % (12558)Instructions burned: 35 (million)
% 0.57/0.77  % (12558)------------------------------
% 0.57/0.77  % (12558)------------------------------
% 0.57/0.77  % (12559)Instruction limit reached!
% 0.57/0.77  % (12559)------------------------------
% 0.57/0.77  % (12559)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (12559)Termination reason: Unknown
% 0.57/0.77  % (12571)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)
% 0.57/0.77  % (12559)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (12559)Memory used [KB]: 1094
% 0.57/0.77  % (12559)Time elapsed: 0.023 s
% 0.57/0.77  % (12559)Instructions burned: 46 (million)
% 0.57/0.77  % (12559)------------------------------
% 0.57/0.77  % (12559)------------------------------
% 0.57/0.77  % (12565)Instruction limit reached!
% 0.57/0.77  % (12565)------------------------------
% 0.57/0.77  % (12565)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (12565)Termination reason: Unknown
% 0.57/0.77  % (12565)Termination phase: Saturation
% 0.57/0.77  
% 0.57/0.77  % (12565)Memory used [KB]: 1323
% 0.57/0.77  % (12565)Time elapsed: 0.019 s
% 0.57/0.77  % (12565)Instructions burned: 55 (million)
% 0.57/0.77  % (12565)------------------------------
% 0.57/0.77  % (12565)------------------------------
% 0.57/0.77  % (12573)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)
% 0.57/0.77  % (12577)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)
% 0.57/0.77  % (12575)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)
% 0.57/0.77  % (12577)Refutation not found, incomplete strategy% (12577)------------------------------
% 0.57/0.77  % (12577)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (12577)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (12577)Memory used [KB]: 979
% 0.57/0.77  % (12577)Time elapsed: 0.002 s
% 0.57/0.77  % (12577)Instructions burned: 3 (million)
% 0.57/0.77  % (12577)------------------------------
% 0.57/0.77  % (12577)------------------------------
% 0.57/0.78  % (12580)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)
% 0.57/0.78  % (12575)First to succeed.
% 0.57/0.78  % (12555)Instruction limit reached!
% 0.57/0.78  % (12555)------------------------------
% 0.57/0.78  % (12555)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78  % (12555)Termination reason: Unknown
% 0.57/0.78  % (12555)Termination phase: Saturation
% 0.57/0.78  
% 0.57/0.78  % (12555)Memory used [KB]: 1434
% 0.57/0.78  % (12555)Time elapsed: 0.031 s
% 0.57/0.78  % (12555)Instructions burned: 51 (million)
% 0.57/0.78  % (12555)------------------------------
% 0.57/0.78  % (12555)------------------------------
% 0.57/0.78  % (12575)Refutation found. Thanks to Tanya!
% 0.57/0.78  % SZS status Theorem for Vampire---4
% 0.57/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.78  % (12575)------------------------------
% 0.57/0.78  % (12575)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.78  % (12575)Termination reason: Refutation
% 0.57/0.78  
% 0.57/0.78  % (12575)Memory used [KB]: 1059
% 0.57/0.78  % (12575)Time elapsed: 0.005 s
% 0.57/0.78  % (12575)Instructions burned: 6 (million)
% 0.57/0.78  % (12575)------------------------------
% 0.57/0.78  % (12575)------------------------------
% 0.57/0.78  % (12405)Success in time 0.395 s
% 0.57/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------