TSTP Solution File: SWV179+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV179+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n011.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 Aug 31 18:44:25 EDT 2022

% Result   : Theorem 0.21s 0.60s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :  166 (  52 equ)
%            Maximal formula atoms :   26 (  12 avg)
%            Number of connectives :  210 (  57   ~;  51   |;  75   &)
%                                         (   0 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-3 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f423,plain,
    $false,
    inference(subsumption_resolution,[],[f422,f156]) ).

fof(f156,plain,
    init != a_select2(rho_init,pv68),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( init != a_select2(rho_init,pv68)
    & ! [X0] :
        ( ~ leq(n0,X0)
        | ! [X1] :
            ( ~ leq(X1,n4)
            | init = a_select3(q_init,X0,X1)
            | ~ leq(n0,X1) )
        | ~ leq(X0,n135299) )
    & ! [X2] :
        ( ~ leq(n0,X2)
        | ~ leq(X2,n4)
        | init = a_select2(muold_init,X2) )
    & ! [X3] :
        ( ~ leq(X3,n4)
        | ~ leq(n0,X3)
        | init = a_select2(mu_init,X3) )
    & ! [X4] :
        ( ~ leq(n0,X4)
        | init = a_select2(rhoold_init,X4)
        | ~ leq(X4,pred(pv68)) )
    & ! [X5] :
        ( ~ leq(X5,n4)
        | ~ leq(n0,X5)
        | init = a_select2(sigma_init,X5) )
    & ! [X6] :
        ( init = a_select3(center_init,X6,n0)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & leq(pv68,n4)
    & ! [X7] :
        ( init = a_select2(rho_init,X7)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & leq(n0,pv68) ),
    inference(rectify,[],[f121]) ).

fof(f121,plain,
    ( init != a_select2(rho_init,pv68)
    & ! [X2] :
        ( ~ leq(n0,X2)
        | ! [X3] :
            ( ~ leq(X3,n4)
            | init = a_select3(q_init,X2,X3)
            | ~ leq(n0,X3) )
        | ~ leq(X2,n135299) )
    & ! [X1] :
        ( ~ leq(n0,X1)
        | ~ leq(X1,n4)
        | init = a_select2(muold_init,X1) )
    & ! [X4] :
        ( ~ leq(X4,n4)
        | ~ leq(n0,X4)
        | init = a_select2(mu_init,X4) )
    & ! [X5] :
        ( ~ leq(n0,X5)
        | init = a_select2(rhoold_init,X5)
        | ~ leq(X5,pred(pv68)) )
    & ! [X6] :
        ( ~ leq(X6,n4)
        | ~ leq(n0,X6)
        | init = a_select2(sigma_init,X6) )
    & ! [X7] :
        ( init = a_select3(center_init,X7,n0)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & leq(pv68,n4)
    & ! [X0] :
        ( init = a_select2(rho_init,X0)
        | ~ leq(X0,n4)
        | ~ leq(n0,X0) )
    & leq(n0,pv68) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ( init != a_select2(rho_init,pv68)
    & ! [X7] :
        ( init = a_select3(center_init,X7,n0)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & leq(pv68,n4)
    & ! [X5] :
        ( init = a_select2(rhoold_init,X5)
        | ~ leq(n0,X5)
        | ~ leq(X5,pred(pv68)) )
    & ! [X1] :
        ( init = a_select2(muold_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & leq(n0,pv68)
    & ! [X0] :
        ( init = a_select2(rho_init,X0)
        | ~ leq(n0,X0)
        | ~ leq(X0,n4) )
    & ! [X2] :
        ( ! [X3] :
            ( init = a_select3(q_init,X2,X3)
            | ~ leq(X3,n4)
            | ~ leq(n0,X3) )
        | ~ leq(X2,n135299)
        | ~ leq(n0,X2) )
    & ! [X6] :
        ( init = a_select2(sigma_init,X6)
        | ~ leq(n0,X6)
        | ~ leq(X6,n4) )
    & ! [X4] :
        ( init = a_select2(mu_init,X4)
        | ~ leq(X4,n4)
        | ~ leq(n0,X4) ) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( ! [X7] :
            ( ( leq(X7,n4)
              & leq(n0,X7) )
           => init = a_select3(center_init,X7,n0) )
        & leq(pv68,n4)
        & ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,pred(pv68)) )
           => init = a_select2(rhoold_init,X5) )
        & ! [X1] :
            ( ( leq(X1,n4)
              & leq(n0,X1) )
           => init = a_select2(muold_init,X1) )
        & leq(n0,pv68)
        & ! [X0] :
            ( ( leq(n0,X0)
              & leq(X0,n4) )
           => init = a_select2(rho_init,X0) )
        & ! [X2] :
            ( ( leq(X2,n135299)
              & leq(n0,X2) )
           => ! [X3] :
                ( ( leq(X3,n4)
                  & leq(n0,X3) )
               => init = a_select3(q_init,X2,X3) ) )
        & ! [X6] :
            ( ( leq(n0,X6)
              & leq(X6,n4) )
           => init = a_select2(sigma_init,X6) )
        & ! [X4] :
            ( ( leq(X4,n4)
              & leq(n0,X4) )
           => init = a_select2(mu_init,X4) ) )
     => init = a_select2(rho_init,pv68) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X27] :
            ( ( leq(X27,n4)
              & leq(n0,X27) )
           => init = a_select2(rho_init,X27) )
        & ! [X19] :
            ( ( leq(X19,n4)
              & leq(n0,X19) )
           => init = a_select2(muold_init,X19) )
        & leq(pv68,n4)
        & ! [X13] :
            ( ( leq(n0,X13)
              & leq(X13,n135299) )
           => ! [X17] :
                ( ( leq(X17,n4)
                  & leq(n0,X17) )
               => a_select3(q_init,X13,X17) = init ) )
        & leq(n0,pv68)
        & ! [X21] :
            ( ( leq(X21,n4)
              & leq(n0,X21) )
           => init = a_select2(mu_init,X21) )
        & ! [X20] :
            ( ( leq(X20,pred(pv68))
              & leq(n0,X20) )
           => init = a_select2(rhoold_init,X20) )
        & ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => init = a_select2(sigma_init,X28) )
        & ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select3(center_init,X3,n0) ) )
     => init = a_select2(rho_init,pv68) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ! [X27] :
          ( ( leq(X27,n4)
            & leq(n0,X27) )
         => init = a_select2(rho_init,X27) )
      & ! [X19] :
          ( ( leq(X19,n4)
            & leq(n0,X19) )
         => init = a_select2(muold_init,X19) )
      & leq(pv68,n4)
      & ! [X13] :
          ( ( leq(n0,X13)
            & leq(X13,n135299) )
         => ! [X17] :
              ( ( leq(X17,n4)
                & leq(n0,X17) )
             => a_select3(q_init,X13,X17) = init ) )
      & leq(n0,pv68)
      & ! [X21] :
          ( ( leq(X21,n4)
            & leq(n0,X21) )
         => init = a_select2(mu_init,X21) )
      & ! [X20] :
          ( ( leq(X20,pred(pv68))
            & leq(n0,X20) )
         => init = a_select2(rhoold_init,X20) )
      & ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,n4) )
         => init = a_select2(sigma_init,X28) )
      & ! [X3] :
          ( ( leq(X3,n4)
            & leq(n0,X3) )
         => init = a_select3(center_init,X3,n0) ) )
   => init = a_select2(rho_init,pv68) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0071) ).

fof(f422,plain,
    init = a_select2(rho_init,pv68),
    inference(subsumption_resolution,[],[f412,f147]) ).

fof(f147,plain,
    leq(n0,pv68),
    inference(cnf_transformation,[],[f126]) ).

fof(f412,plain,
    ( ~ leq(n0,pv68)
    | init = a_select2(rho_init,pv68) ),
    inference(resolution,[],[f148,f149]) ).

fof(f149,plain,
    leq(pv68,n4),
    inference(cnf_transformation,[],[f126]) ).

fof(f148,plain,
    ! [X7] :
      ( ~ leq(X7,n4)
      | init = a_select2(rho_init,X7)
      | ~ leq(n0,X7) ),
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SWV179+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 19:02:40 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.55  % (16637)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.56  % (16621)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.56  % (16629)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.57  % (16624)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.58  % (16629)Instruction limit reached!
% 0.21/0.58  % (16629)------------------------------
% 0.21/0.58  % (16629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (16629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (16629)Termination reason: Unknown
% 0.21/0.58  % (16629)Termination phase: Preprocessing 2
% 0.21/0.58  
% 0.21/0.58  % (16629)Memory used [KB]: 1535
% 0.21/0.58  % (16629)Time elapsed: 0.004 s
% 0.21/0.58  % (16629)Instructions burned: 3 (million)
% 0.21/0.58  % (16629)------------------------------
% 0.21/0.58  % (16629)------------------------------
% 0.21/0.58  % (16637)First to succeed.
% 0.21/0.58  % (16616)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.58  % (16614)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58  % (16614)Instruction limit reached!
% 0.21/0.58  % (16614)------------------------------
% 0.21/0.58  % (16614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (16614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (16614)Termination reason: Unknown
% 0.21/0.58  % (16614)Termination phase: Naming
% 0.21/0.58  
% 0.21/0.58  % (16614)Memory used [KB]: 1535
% 0.21/0.58  % (16614)Time elapsed: 0.003 s
% 0.21/0.58  % (16614)Instructions burned: 3 (million)
% 0.21/0.58  % (16614)------------------------------
% 0.21/0.58  % (16614)------------------------------
% 0.21/0.58  % (16612)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.59  % (16615)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59  % (16640)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.59  % (16624)Instruction limit reached!
% 0.21/0.59  % (16624)------------------------------
% 0.21/0.59  % (16624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (16624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (16624)Termination reason: Unknown
% 0.21/0.59  % (16624)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (16624)Memory used [KB]: 1918
% 0.21/0.59  % (16624)Time elapsed: 0.012 s
% 0.21/0.59  % (16624)Instructions burned: 16 (million)
% 0.21/0.59  % (16624)------------------------------
% 0.21/0.59  % (16624)------------------------------
% 0.21/0.59  % (16613)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.60  % (16625)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.60  % (16640)Instruction limit reached!
% 0.21/0.60  % (16640)------------------------------
% 0.21/0.60  % (16640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (16640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (16640)Termination reason: Unknown
% 0.21/0.60  % (16640)Termination phase: Property scanning
% 0.21/0.60  
% 0.21/0.60  % (16640)Memory used [KB]: 1663
% 0.21/0.60  % (16640)Time elapsed: 0.008 s
% 0.21/0.60  % (16640)Instructions burned: 8 (million)
% 0.21/0.60  % (16640)------------------------------
% 0.21/0.60  % (16640)------------------------------
% 0.21/0.60  % (16637)Refutation found. Thanks to Tanya!
% 0.21/0.60  % SZS status Theorem for theBenchmark
% 0.21/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.60  % (16637)------------------------------
% 0.21/0.60  % (16637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (16637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (16637)Termination reason: Refutation
% 0.21/0.60  
% 0.21/0.60  % (16637)Memory used [KB]: 6268
% 0.21/0.60  % (16637)Time elapsed: 0.150 s
% 0.21/0.60  % (16637)Instructions burned: 12 (million)
% 0.21/0.60  % (16637)------------------------------
% 0.21/0.60  % (16637)------------------------------
% 0.21/0.60  % (16611)Success in time 0.238 s
%------------------------------------------------------------------------------