TSTP Solution File: SWV189+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV189+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n020.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 04:02:48 EDT 2024

% Result   : Theorem 0.66s 0.81s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (  13 unt;   0 def)
%            Number of atoms       :   71 (  15 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   64 (  18   ~;  12   |;  20   &)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   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   :   37 (  33   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f304,plain,
    $false,
    inference(subsumption_resolution,[],[f303,f146]) ).

fof(f146,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.JL8GzmfvCj/Vampire---4.8_17444',irreflexivity_gt) ).

fof(f303,plain,
    gt(n0,n0),
    inference(forward_demodulation,[],[f297,f180]) ).

fof(f180,plain,
    n0 = plus(n1,tptp_minus_1),
    inference(definition_unfolding,[],[f134,f168]) ).

fof(f168,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox/tmp/tmp.JL8GzmfvCj/Vampire---4.8_17444',succ_plus_1_l) ).

fof(f134,plain,
    n0 = succ(tptp_minus_1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    n0 = succ(tptp_minus_1),
    file('/export/starexec/sandbox/tmp/tmp.JL8GzmfvCj/Vampire---4.8_17444',succ_tptp_minus_1) ).

fof(f297,plain,
    gt(plus(n1,tptp_minus_1),n0),
    inference(unit_resulting_resolution,[],[f248,f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( gt(plus(n1,X1),X0)
      | ~ leq(X0,X1) ),
    inference(definition_unfolding,[],[f122,f168]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( gt(succ(X1),X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> gt(succ(X1),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.JL8GzmfvCj/Vampire---4.8_17444',leq_succ_gt_equiv) ).

fof(f248,plain,
    leq(n0,tptp_minus_1),
    inference(unit_resulting_resolution,[],[f114,f115,f126]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | ~ leq(X0,X1)
      | leq(X0,X2) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.JL8GzmfvCj/Vampire---4.8_17444',transitivity_leq) ).

fof(f115,plain,
    leq(sK0,tptp_minus_1),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( init != a_select3(q_init,X1,X2)
            & leq(X2,n4)
            & leq(n0,X2) )
        & leq(X1,tptp_minus_1)
        & leq(n0,X1) )
    & ! [X0] :
        ( init = a_select3(center_init,X0,n0)
        | ~ leq(X0,n4)
        | ~ leq(n0,X0) ) ),
    inference(flattening,[],[f88]) ).

fof(f88,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( init != a_select3(q_init,X1,X2)
            & leq(X2,n4)
            & leq(n0,X2) )
        & leq(X1,tptp_minus_1)
        & leq(n0,X1) )
    & ! [X0] :
        ( init = a_select3(center_init,X0,n0)
        | ~ leq(X0,n4)
        | ~ leq(n0,X0) ) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ~ ( ! [X0] :
          ( ( leq(X0,n4)
            & leq(n0,X0) )
         => init = a_select3(center_init,X0,n0) )
     => ! [X1] :
          ( ( leq(X1,tptp_minus_1)
            & leq(n0,X1) )
         => ! [X2] :
              ( ( leq(X2,n4)
                & leq(n0,X2) )
             => init = a_select3(q_init,X1,X2) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ! [X13] :
          ( ( leq(X13,n4)
            & leq(n0,X13) )
         => a_select3(center_init,X13,n0) = init )
     => ! [X17] :
          ( ( leq(X17,tptp_minus_1)
            & leq(n0,X17) )
         => ! [X3] :
              ( ( leq(X3,n4)
                & leq(n0,X3) )
             => init = a_select3(q_init,X17,X3) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ! [X13] :
        ( ( leq(X13,n4)
          & leq(n0,X13) )
       => a_select3(center_init,X13,n0) = init )
   => ! [X17] :
        ( ( leq(X17,tptp_minus_1)
          & leq(n0,X17) )
       => ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select3(q_init,X17,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JL8GzmfvCj/Vampire---4.8_17444',cl5_nebula_init_0121) ).

fof(f114,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV189+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.15  % 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 : n020.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 18:33:02 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ 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.JL8GzmfvCj/Vampire---4.8_17444
% 0.66/0.81  % (17732)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)
% 0.66/0.81  % (17726)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)
% 0.66/0.81  % (17728)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.81  % (17729)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)
% 0.66/0.81  % (17727)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)
% 0.66/0.81  % (17730)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)
% 0.66/0.81  % (17731)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)
% 0.66/0.81  % (17732)First to succeed.
% 0.66/0.81  % (17732)Refutation found. Thanks to Tanya!
% 0.66/0.81  % SZS status Theorem for Vampire---4
% 0.66/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.81  % (17732)------------------------------
% 0.66/0.81  % (17732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81  % (17732)Termination reason: Refutation
% 0.66/0.81  
% 0.66/0.81  % (17732)Memory used [KB]: 1167
% 0.66/0.81  % (17732)Time elapsed: 0.004 s
% 0.66/0.81  % (17732)Instructions burned: 9 (million)
% 0.66/0.81  % (17732)------------------------------
% 0.66/0.81  % (17732)------------------------------
% 0.66/0.81  % (17712)Success in time 0.437 s
% 0.66/0.82  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.66/0.82  17712 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.JL8GzmfvCj/Vampire---4.8_17444
% 0.66/0.82  % (17712)------------------------------
% 0.66/0.82  % (17712)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (17712)Termination reason: Unknown
% 0.66/0.82  % (17712)Termination phase: Unknown
% 0.66/0.82  
% 0.66/0.82  % (17712)Memory used [KB]: 484
% 0.66/0.82  % (17712)Time elapsed: 0.437 s
% 0.66/0.82  % (17712)Instructions burned: 961 (million)
% 0.66/0.82  % (17712)------------------------------
% 0.66/0.82  % (17712)------------------------------
% 0.66/0.82  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  ???
% 0.66/0.82   ???
% 0.66/0.82    ???
% 0.66/0.82     ???
% 0.66/0.82      ???
% 0.66/0.82       ???
% 0.66/0.82        ???
% 0.66/0.82         ???
% 0.66/0.82          ???
% 0.66/0.82           ???
% 0.66/0.82            ???
% 0.66/0.82             ???
% 0.66/0.82              ???
% 0.66/0.82               ???
% 0.66/0.82                ???
% 0.66/0.82                 ???
% 0.66/0.82                  ???
% 0.66/0.82                   ???
% 0.66/0.82                    ???
% 0.66/0.82                     ???
% 0.66/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------