TSTP Solution File: NUM343+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : Sun May  5 08:09:23 EDT 2024

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   3 unt;   1 typ;   0 def)
%            Number of atoms       :   49 (   6 equ)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   35 (  14   ~;   7   |;  11   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   17 (  17 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   15 (  12   !;   2   ?;   5   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_11,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f524,plain,
    $false,
    inference(resolution,[],[f515,f501]) ).

tff(f501,plain,
    ! [X0: $i] : less(X0,n1),
    inference(cnf_transformation,[],[f485]) ).

tff(f485,plain,
    ! [X0] :
      ( ~ sum(n21,X0,n21)
      & less(X0,n1)
      & less(nn1,X0) ),
    inference(flattening,[],[f484]) ).

tff(f484,plain,
    ! [X0] :
      ( ~ sum(n21,X0,n21)
      & less(X0,n1)
      & less(nn1,X0) ),
    inference(ennf_transformation,[],[f403]) ).

tff(f403,negated_conjecture,
    ~ ? [X0] :
        ( ( less(X0,n1)
          & less(nn1,X0) )
       => sum(n21,X0,n21) ),
    inference(negated_conjecture,[],[f402]) ).

tff(f402,conjecture,
    ? [X0] :
      ( ( less(X0,n1)
        & less(nn1,X0) )
     => sum(n21,X0,n21) ),
    file('/export/starexec/sandbox2/tmp/tmp.8WyxpHQDs6/Vampire---4.8_7934',sum_something_n0_samething) ).

tff(f515,plain,
    ! [X1: $i] : ~ less(X1,X1),
    inference(equality_resolution,[],[f505]) ).

tff(f505,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != X1 )
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f499]) ).

tff(f499,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | ( X0 = X1 )
        | less(X1,X0) )
      & ( ( ( X0 != X1 )
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f498]) ).

tff(f498,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | ( X0 = X1 )
        | less(X1,X0) )
      & ( ( ( X0 != X1 )
          & ~ less(X1,X0) )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f284]) ).

tff(f284,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( ( X0 != X1 )
        & ~ less(X1,X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8WyxpHQDs6/Vampire---4.8_7934',less_property) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:36:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  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.8WyxpHQDs6/Vampire---4.8_7934
% 0.54/0.75  % (8051)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  % (8052)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)
% 0.54/0.75  % (8047)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (8045)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)
% 0.54/0.75  % (8048)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)
% 0.54/0.75  % (8049)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)
% 0.54/0.75  % (8046)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)
% 0.54/0.75  % (8050)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  % (8052)Refutation not found, incomplete strategy% (8052)------------------------------
% 0.54/0.75  % (8052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (8052)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8052)Memory used [KB]: 1278
% 0.54/0.75  % (8052)Time elapsed: 0.003 s
% 0.54/0.75  % (8052)Instructions burned: 4 (million)
% 0.54/0.75  % (8052)------------------------------
% 0.54/0.75  % (8052)------------------------------
% 0.54/0.75  % (8048)Refutation not found, incomplete strategy% (8048)------------------------------
% 0.54/0.75  % (8048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (8048)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8048)Memory used [KB]: 1275
% 0.54/0.75  % (8048)Time elapsed: 0.004 s
% 0.54/0.75  % (8048)Instructions burned: 4 (million)
% 0.54/0.75  % (8050)Refutation not found, incomplete strategy% (8050)------------------------------
% 0.54/0.75  % (8050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (8045)First to succeed.
% 0.54/0.75  % (8050)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8050)Memory used [KB]: 1291
% 0.54/0.75  % (8050)Time elapsed: 0.004 s
% 0.54/0.75  % (8050)Instructions burned: 4 (million)
% 0.54/0.75  % (8048)------------------------------
% 0.54/0.75  % (8048)------------------------------
% 0.54/0.75  % (8045)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8044"
% 0.54/0.75  % (8047)Also succeeded, but the first one will report.
% 0.54/0.75  % (8050)------------------------------
% 0.54/0.75  % (8050)------------------------------
% 0.54/0.75  % (8051)Also succeeded, but the first one will report.
% 0.54/0.75  % (8045)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Theorem for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (8045)------------------------------
% 0.54/0.75  % (8045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (8045)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (8045)Memory used [KB]: 1281
% 0.54/0.75  % (8045)Time elapsed: 0.004 s
% 0.54/0.75  % (8045)Instructions burned: 5 (million)
% 0.54/0.75  % (8044)Success in time 0.386 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------