TSTP Solution File: SWV161+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV161+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 04:02:44 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   9 unt;   0 def)
%            Number of atoms       :  101 (  32 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  105 (  29   ~;  19   |;  45   &)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   29 (  25   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f287,plain,
    $false,
    inference(subsumption_resolution,[],[f281,f113]) ).

fof(f113,plain,
    n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ( n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index))
    & leq(sK0,pv10)
    & leq(n0,sK0)
    & ! [X1] :
        ( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
        | ~ leq(X1,pred(pv10))
        | ~ leq(n0,X1) )
    & leq(pv10,n135299)
    & leq(n0,pv10)
    & n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f109,f110]) ).

fof(f110,plain,
    ( ? [X0] :
        ( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
        & leq(X0,pv10)
        & leq(n0,X0) )
   => ( n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index))
      & leq(sK0,pv10)
      & leq(n0,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ( ? [X0] :
        ( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
        & leq(X0,pv10)
        & leq(n0,X0) )
    & ! [X1] :
        ( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
        | ~ leq(X1,pred(pv10))
        | ~ leq(n0,X1) )
    & leq(pv10,n135299)
    & leq(n0,pv10)
    & n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) ),
    inference(rectify,[],[f97]) ).

fof(f97,plain,
    ( ? [X1] :
        ( n1 != sum(n0,n4,a_select3(q,X1,tptp_sum_index))
        & leq(X1,pv10)
        & leq(n0,X1) )
    & ! [X0] :
        ( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
        | ~ leq(X0,pred(pv10))
        | ~ leq(n0,X0) )
    & leq(pv10,n135299)
    & leq(n0,pv10)
    & n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ( ? [X1] :
        ( n1 != sum(n0,n4,a_select3(q,X1,tptp_sum_index))
        & leq(X1,pv10)
        & leq(n0,X1) )
    & ! [X0] :
        ( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
        | ~ leq(X0,pred(pv10))
        | ~ leq(n0,X0) )
    & leq(pv10,n135299)
    & leq(n0,pv10)
    & n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( ! [X0] :
            ( ( leq(X0,pred(pv10))
              & leq(n0,X0) )
           => n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
        & leq(pv10,n135299)
        & leq(n0,pv10)
        & n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) )
     => ! [X1] :
          ( ( leq(X1,pv10)
            & leq(n0,X1) )
         => n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index)) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X13] :
            ( ( leq(X13,pred(pv10))
              & leq(n0,X13) )
           => n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) )
        & leq(pv10,n135299)
        & leq(n0,pv10)
        & n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) )
     => ! [X17] :
          ( ( leq(X17,pv10)
            & leq(n0,X17) )
         => n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ! [X13] :
          ( ( leq(X13,pred(pv10))
            & leq(n0,X13) )
         => n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) )
      & leq(pv10,n135299)
      & leq(n0,pv10)
      & n1 = sum(n0,n4,a_select3(q,pv10,tptp_sum_index)) )
   => ! [X17] :
        ( ( leq(X17,pv10)
          & leq(n0,X17) )
       => n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.kkunpmasgy/Vampire---4.8_31463',cl5_nebula_norm_0011) ).

fof(f281,plain,
    n1 != sum(n0,n4,a_select3(q,pv10,tptp_sum_index)),
    inference(backward_demodulation,[],[f119,f275]) ).

fof(f275,plain,
    pv10 = sK0,
    inference(unit_resulting_resolution,[],[f118,f266,f125]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.kkunpmasgy/Vampire---4.8_31463',leq_gt2) ).

fof(f266,plain,
    ~ gt(pv10,sK0),
    inference(unit_resulting_resolution,[],[f217,f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( leq(X0,pred(X1))
        | ~ gt(X1,X0) )
      & ( gt(X1,X0)
        | ~ leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.kkunpmasgy/Vampire---4.8_31463',leq_gt_pred) ).

fof(f217,plain,
    ~ leq(sK0,pred(pv10)),
    inference(unit_resulting_resolution,[],[f117,f119,f116]) ).

fof(f116,plain,
    ! [X1] :
      ( n1 = sum(n0,n4,a_select3(q,X1,tptp_sum_index))
      | ~ leq(X1,pred(pv10))
      | ~ leq(n0,X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f117,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f111]) ).

fof(f118,plain,
    leq(sK0,pv10),
    inference(cnf_transformation,[],[f111]) ).

fof(f119,plain,
    n1 != sum(n0,n4,a_select3(q,sK0,tptp_sum_index)),
    inference(cnf_transformation,[],[f111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV161+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.14  % 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   : Tue Apr 30 18:40:13 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.kkunpmasgy/Vampire---4.8_31463
% 0.58/0.74  % (31664)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)
% 0.58/0.74  % (31667)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)
% 0.58/0.74  % (31660)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)
% 0.58/0.74  % (31663)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)
% 0.58/0.74  % (31662)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74  % (31661)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)
% 0.58/0.74  % (31665)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)
% 0.58/0.74  % (31666)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)
% 0.58/0.74  % (31663)First to succeed.
% 0.58/0.74  % (31664)Instruction limit reached!
% 0.58/0.74  % (31664)------------------------------
% 0.58/0.74  % (31664)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74  % (31666)Also succeeded, but the first one will report.
% 0.58/0.74  % (31664)Termination reason: Unknown
% 0.58/0.74  % (31664)Termination phase: Saturation
% 0.58/0.74  
% 0.58/0.74  % (31664)Memory used [KB]: 1429
% 0.58/0.74  % (31664)Time elapsed: 0.010 s
% 0.58/0.74  % (31664)Instructions burned: 34 (million)
% 0.58/0.74  % (31664)------------------------------
% 0.58/0.74  % (31664)------------------------------
% 0.58/0.75  % (31663)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (31663)------------------------------
% 0.58/0.75  % (31663)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (31663)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (31663)Memory used [KB]: 1174
% 0.58/0.75  % (31663)Time elapsed: 0.007 s
% 0.58/0.75  % (31663)Instructions burned: 9 (million)
% 0.58/0.75  % (31663)------------------------------
% 0.58/0.75  % (31663)------------------------------
% 0.58/0.75  % (31619)Success in time 0.377 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------