TSTP Solution File: SWV214+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV214+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 : n010.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 04:02:52 EDT 2024

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :  362 ( 341 equ)
%            Maximal formula atoms :   71 (  36 avg)
%            Number of connectives :  577 ( 225   ~;  64   |; 282   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   42 (  22 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   10 (   6   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f300,plain,
    $false,
    inference(trivial_inequality_removal,[],[f241]) ).

fof(f241,plain,
    ( sK0 != sK0
    | sK1 != sK1 ),
    inference(definition_unfolding,[],[f130,f155,f156]) ).

fof(f156,plain,
    n5 = sK1,
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ? [X0,X1] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n1))
      & n5 = X1
      & n2 = X0
      & n1 = X1
      & n1 = X0
      & ( n5 != X1
        | n5 != X0 )
      & ( n5 != X0
        | n4 != X1 )
      & ( n5 != X1
        | n4 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n3 != X0 )
      & ( n3 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n4 != X0
        | n2 != X1 )
      & ( n3 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n3 != X1
        | n2 != X0 )
      & ( n2 != X1
        | n2 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n4 != X0
        | n1 != X1 )
      & ( n3 != X0
        | n1 != X1 )
      & ( n2 != X0
        | n1 != X1 )
      & ( n5 != X1
        | n1 != X0 )
      & ( n4 != X1
        | n1 != X0 )
      & ( n3 != X1
        | n1 != X0 )
      & ( n2 != X1
        | n1 != X0 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n4 != X0
        | n0 != X1 )
      & ( n3 != X0
        | n0 != X1 )
      & ( n5 != X1
        | n0 != X0 )
      & ( n4 != X1
        | n0 != X0 )
      & ( n3 != X1
        | n0 != X0 )
      & ( n2 != X1
        | n0 != X0 )
      & leq(X1,n5)
      & leq(X0,n5)
      & leq(n0,X1)
      & leq(n0,X0) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ? [X0,X1] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n1))
      & n5 = X1
      & n2 = X0
      & n1 = X1
      & n1 = X0
      & ( n5 != X1
        | n5 != X0 )
      & ( n5 != X0
        | n4 != X1 )
      & ( n5 != X1
        | n4 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n3 != X0 )
      & ( n3 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n4 != X0
        | n2 != X1 )
      & ( n3 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n3 != X1
        | n2 != X0 )
      & ( n2 != X1
        | n2 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n4 != X0
        | n1 != X1 )
      & ( n3 != X0
        | n1 != X1 )
      & ( n2 != X0
        | n1 != X1 )
      & ( n5 != X1
        | n1 != X0 )
      & ( n4 != X1
        | n1 != X0 )
      & ( n3 != X1
        | n1 != X0 )
      & ( n2 != X1
        | n1 != X0 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n4 != X0
        | n0 != X1 )
      & ( n3 != X0
        | n0 != X1 )
      & ( n5 != X1
        | n0 != X0 )
      & ( n4 != X1
        | n0 != X0 )
      & ( n3 != X1
        | n0 != X0 )
      & ( n2 != X1
        | n0 != X0 )
      & leq(X1,n5)
      & leq(X0,n5)
      & leq(n0,X1)
      & leq(n0,X0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ! [X0,X1] :
        ( ( leq(X1,n5)
          & leq(X0,n5)
          & leq(n0,X1)
          & leq(n0,X0) )
       => ( ( n5 = X1
            & n2 = X0
            & n1 = X1
            & n1 = X0
            & ~ ( n5 = X1
                & n5 = X0 )
            & ~ ( n5 = X0
                & n4 = X1 )
            & ~ ( n5 = X1
                & n4 = X0 )
            & ~ ( n4 = X1
                & n4 = X0 )
            & ~ ( n5 = X0
                & n3 = X1 )
            & ~ ( n4 = X0
                & n3 = X1 )
            & ~ ( n5 = X1
                & n3 = X0 )
            & ~ ( n4 = X1
                & n3 = X0 )
            & ~ ( n3 = X1
                & n3 = X0 )
            & ~ ( n5 = X0
                & n2 = X1 )
            & ~ ( n4 = X0
                & n2 = X1 )
            & ~ ( n3 = X0
                & n2 = X1 )
            & ~ ( n5 = X1
                & n2 = X0 )
            & ~ ( n4 = X1
                & n2 = X0 )
            & ~ ( n3 = X1
                & n2 = X0 )
            & ~ ( n2 = X1
                & n2 = X0 )
            & ~ ( n5 = X0
                & n1 = X1 )
            & ~ ( n4 = X0
                & n1 = X1 )
            & ~ ( n3 = X0
                & n1 = X1 )
            & ~ ( n2 = X0
                & n1 = X1 )
            & ~ ( n5 = X1
                & n1 = X0 )
            & ~ ( n4 = X1
                & n1 = X0 )
            & ~ ( n3 = X1
                & n1 = X0 )
            & ~ ( n2 = X1
                & n1 = X0 )
            & ~ ( n5 = X0
                & n0 = X1 )
            & ~ ( n4 = X0
                & n0 = X1 )
            & ~ ( n3 = X0
                & n0 = X1 )
            & ~ ( n5 = X1
                & n0 = X0 )
            & ~ ( n4 = X1
                & n0 = X0 )
            & ~ ( n3 = X1
                & n0 = X0 )
            & ~ ( n2 = X1
                & n0 = X0 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ! [X13,X17] :
        ( ( leq(X17,n5)
          & leq(X13,n5)
          & leq(n0,X17)
          & leq(n0,X13) )
       => ( ( n5 = X17
            & n2 = X13
            & n1 = X17
            & n1 = X13
            & ~ ( n5 = X17
                & n5 = X13 )
            & ~ ( n5 = X13
                & n4 = X17 )
            & ~ ( n5 = X17
                & n4 = X13 )
            & ~ ( n4 = X17
                & n4 = X13 )
            & ~ ( n5 = X13
                & n3 = X17 )
            & ~ ( n4 = X13
                & n3 = X17 )
            & ~ ( n5 = X17
                & n3 = X13 )
            & ~ ( n4 = X17
                & n3 = X13 )
            & ~ ( n3 = X17
                & n3 = X13 )
            & ~ ( n5 = X13
                & n2 = X17 )
            & ~ ( n4 = X13
                & n2 = X17 )
            & ~ ( n3 = X13
                & n2 = X17 )
            & ~ ( n5 = X17
                & n2 = X13 )
            & ~ ( n4 = X17
                & n2 = X13 )
            & ~ ( n3 = X17
                & n2 = X13 )
            & ~ ( n2 = X17
                & n2 = X13 )
            & ~ ( n5 = X13
                & n1 = X17 )
            & ~ ( n4 = X13
                & n1 = X17 )
            & ~ ( n3 = X13
                & n1 = X17 )
            & ~ ( n2 = X13
                & n1 = X17 )
            & ~ ( n5 = X17
                & n1 = X13 )
            & ~ ( n4 = X17
                & n1 = X13 )
            & ~ ( n3 = X17
                & n1 = X13 )
            & ~ ( n2 = X17
                & n1 = X13 )
            & ~ ( n5 = X13
                & n0 = X17 )
            & ~ ( n4 = X13
                & n0 = X17 )
            & ~ ( n3 = X13
                & n0 = X17 )
            & ~ ( n5 = X17
                & n0 = X13 )
            & ~ ( n4 = X17
                & n0 = X13 )
            & ~ ( n3 = X17
                & n0 = X13 )
            & ~ ( n2 = X17
                & n0 = X13 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ! [X13,X17] :
      ( ( leq(X17,n5)
        & leq(X13,n5)
        & leq(n0,X17)
        & leq(n0,X13) )
     => ( ( n5 = X17
          & n2 = X13
          & n1 = X17
          & n1 = X13
          & ~ ( n5 = X17
              & n5 = X13 )
          & ~ ( n5 = X13
              & n4 = X17 )
          & ~ ( n5 = X17
              & n4 = X13 )
          & ~ ( n4 = X17
              & n4 = X13 )
          & ~ ( n5 = X13
              & n3 = X17 )
          & ~ ( n4 = X13
              & n3 = X17 )
          & ~ ( n5 = X17
              & n3 = X13 )
          & ~ ( n4 = X17
              & n3 = X13 )
          & ~ ( n3 = X17
              & n3 = X13 )
          & ~ ( n5 = X13
              & n2 = X17 )
          & ~ ( n4 = X13
              & n2 = X17 )
          & ~ ( n3 = X13
              & n2 = X17 )
          & ~ ( n5 = X17
              & n2 = X13 )
          & ~ ( n4 = X17
              & n2 = X13 )
          & ~ ( n3 = X17
              & n2 = X13 )
          & ~ ( n2 = X17
              & n2 = X13 )
          & ~ ( n5 = X13
              & n1 = X17 )
          & ~ ( n4 = X13
              & n1 = X17 )
          & ~ ( n3 = X13
              & n1 = X17 )
          & ~ ( n2 = X13
              & n1 = X17 )
          & ~ ( n5 = X17
              & n1 = X13 )
          & ~ ( n4 = X17
              & n1 = X13 )
          & ~ ( n3 = X17
              & n1 = X13 )
          & ~ ( n2 = X17
              & n1 = X13 )
          & ~ ( n5 = X13
              & n0 = X17 )
          & ~ ( n4 = X13
              & n0 = X17 )
          & ~ ( n3 = X13
              & n0 = X17 )
          & ~ ( n5 = X17
              & n0 = X13 )
          & ~ ( n4 = X17
              & n0 = X13 )
          & ~ ( n3 = X17
              & n0 = X13 )
          & ~ ( n2 = X17
              & n0 = X13 ) )
       => n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TA1FHr8QNp/Vampire---4.8_13360',quaternion_ds1_symm_0121) ).

fof(f155,plain,
    n2 = sK0,
    inference(cnf_transformation,[],[f96]) ).

fof(f130,plain,
    ( n2 != sK0
    | n5 != sK1 ),
    inference(cnf_transformation,[],[f96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV214+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.14  % 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
% 0.14/0.35  % Computer : n010.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 18:21:19 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.TA1FHr8QNp/Vampire---4.8_13360
% 0.57/0.75  % (13600)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  % (13594)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  % (13596)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  % (13595)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  % (13597)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  % (13598)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  % (13599)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  % (13600)First to succeed.
% 0.57/0.76  % (13600)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  % (13600)------------------------------
% 0.57/0.76  % (13600)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (13600)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (13600)Memory used [KB]: 1146
% 0.57/0.76  % (13600)Time elapsed: 0.003 s
% 0.57/0.76  % (13600)Instructions burned: 8 (million)
% 0.57/0.76  % (13600)------------------------------
% 0.57/0.76  % (13600)------------------------------
% 0.57/0.76  % (13590)Success in time 0.389 s
% 0.57/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.57/0.76  13590 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.TA1FHr8QNp/Vampire---4.8_13360
% 0.57/0.76  % (13590)------------------------------
% 0.57/0.76  % (13590)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (13590)Termination reason: Unknown
% 0.57/0.76  % (13590)Termination phase: Unknown
% 0.57/0.76  
% 0.57/0.76  % (13590)Memory used [KB]: 490
% 0.57/0.76  % (13590)Time elapsed: 0.390 s
% 0.57/0.76  % (13590)Instructions burned: 962 (million)
% 0.57/0.76  % (13590)------------------------------
% 0.57/0.76  % (13590)------------------------------
% 0.57/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  ???
% 0.57/0.76   ???
% 0.57/0.76    ???
% 0.57/0.76     ???
% 0.57/0.76      ???
% 0.57/0.76       ???
% 0.57/0.76        ???
% 0.57/0.76         ???
% 0.57/0.76          ???
% 0.57/0.76           ???
% 0.57/0.76            ???
% 0.57/0.76             ???
% 0.57/0.76              ???
% 0.57/0.76               ???
% 0.57/0.76                ???
% 0.57/0.76                 ???
% 0.57/0.76                  ???
% 0.57/0.76                   ???
% 0.57/0.76                    ???
% 0.57/0.76                     ???
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------