TSTP Solution File: SWV168+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV168+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 : n007.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 18:44:23 EDT 2022

% Result   : Theorem 0.21s 0.56s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :  231 (  66 equ)
%            Maximal formula atoms :   35 (  13 avg)
%            Number of connectives :  293 (  79   ~;  73   |; 102   &)
%                                         (   0 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  16 con; 0-3 aty)
%            Number of variables   :   58 (  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f303,plain,
    $false,
    inference(subsumption_resolution,[],[f302,f161]) ).

fof(f161,plain,
    init != a_select3(q_init,pv46,pv40),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ! [X0] :
        ( ~ leq(X0,pred(pv40))
        | init = a_select2(mu_init,X0)
        | ~ leq(n0,X0) )
    & ( ~ gt(loopcounter,n1)
      | ! [X1] :
          ( ~ leq(X1,n4)
          | init = a_select2(sigmaold_init,X1)
          | ~ leq(n0,X1) ) )
    & ( ~ gt(loopcounter,n1)
      | ! [X2] :
          ( ~ leq(n0,X2)
          | init = a_select2(rhoold_init,X2)
          | ~ leq(X2,n4) ) )
    & leq(pv46,n135299)
    & leq(pv40,n4)
    & leq(n0,pv40)
    & a_select2(mu_init,pv40) = init
    & leq(n0,pv46)
    & ! [X3] :
        ( ~ leq(X3,n135299)
        | ! [X4] :
            ( ~ leq(X4,n4)
            | ~ leq(n0,X4)
            | init = a_select3(q_init,X3,X4) )
        | ~ leq(n0,X3) )
    & ! [X5] :
        ( init = a_select3(center_init,X5,n0)
        | ~ leq(X5,n4)
        | ~ leq(n0,X5) )
    & ! [X6] :
        ( ~ leq(X6,n4)
        | init = a_select2(rho_init,X6)
        | ~ leq(n0,X6) )
    & init != a_select3(q_init,pv46,pv40)
    & ! [X7] :
        ( ~ leq(n0,X7)
        | init = a_select2(sigma_init,X7)
        | ~ leq(X7,pred(pv40)) )
    & ( ! [X8] :
          ( ~ leq(n0,X8)
          | init = a_select2(muold_init,X8)
          | ~ leq(X8,n4) )
      | ~ gt(loopcounter,n1) ) ),
    inference(rectify,[],[f121]) ).

fof(f121,plain,
    ( ! [X7] :
        ( ~ leq(X7,pred(pv40))
        | init = a_select2(mu_init,X7)
        | ~ leq(n0,X7) )
    & ( ~ gt(loopcounter,n1)
      | ! [X5] :
          ( ~ leq(X5,n4)
          | init = a_select2(sigmaold_init,X5)
          | ~ leq(n0,X5) ) )
    & ( ~ gt(loopcounter,n1)
      | ! [X0] :
          ( ~ leq(n0,X0)
          | init = a_select2(rhoold_init,X0)
          | ~ leq(X0,n4) ) )
    & leq(pv46,n135299)
    & leq(pv40,n4)
    & leq(n0,pv40)
    & a_select2(mu_init,pv40) = init
    & leq(n0,pv46)
    & ! [X1] :
        ( ~ leq(X1,n135299)
        | ! [X2] :
            ( ~ leq(X2,n4)
            | ~ leq(n0,X2)
            | init = a_select3(q_init,X1,X2) )
        | ~ leq(n0,X1) )
    & ! [X6] :
        ( init = a_select3(center_init,X6,n0)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & ! [X8] :
        ( ~ leq(X8,n4)
        | init = a_select2(rho_init,X8)
        | ~ leq(n0,X8) )
    & init != a_select3(q_init,pv46,pv40)
    & ! [X4] :
        ( ~ leq(n0,X4)
        | init = a_select2(sigma_init,X4)
        | ~ leq(X4,pred(pv40)) )
    & ( ! [X3] :
          ( ~ leq(n0,X3)
          | init = a_select2(muold_init,X3)
          | ~ leq(X3,n4) )
      | ~ gt(loopcounter,n1) ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ( init != a_select3(q_init,pv46,pv40)
    & ! [X8] :
        ( init = a_select2(rho_init,X8)
        | ~ leq(n0,X8)
        | ~ leq(X8,n4) )
    & ! [X7] :
        ( init = a_select2(mu_init,X7)
        | ~ leq(n0,X7)
        | ~ leq(X7,pred(pv40)) )
    & a_select2(mu_init,pv40) = init
    & leq(pv40,n4)
    & ! [X6] :
        ( init = a_select3(center_init,X6,n0)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & leq(n0,pv40)
    & ( ! [X0] :
          ( init = a_select2(rhoold_init,X0)
          | ~ leq(n0,X0)
          | ~ leq(X0,n4) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X5] :
          ( init = a_select2(sigmaold_init,X5)
          | ~ leq(n0,X5)
          | ~ leq(X5,n4) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X3] :
          ( init = a_select2(muold_init,X3)
          | ~ leq(n0,X3)
          | ~ leq(X3,n4) )
      | ~ gt(loopcounter,n1) )
    & leq(n0,pv46)
    & ! [X4] :
        ( init = a_select2(sigma_init,X4)
        | ~ leq(X4,pred(pv40))
        | ~ leq(n0,X4) )
    & leq(pv46,n135299)
    & ! [X1] :
        ( ! [X2] :
            ( init = a_select3(q_init,X1,X2)
            | ~ leq(X2,n4)
            | ~ leq(n0,X2) )
        | ~ leq(X1,n135299)
        | ~ leq(n0,X1) ) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( ! [X8] :
            ( ( leq(n0,X8)
              & leq(X8,n4) )
           => init = a_select2(rho_init,X8) )
        & ! [X7] :
            ( ( leq(n0,X7)
              & leq(X7,pred(pv40)) )
           => init = a_select2(mu_init,X7) )
        & a_select2(mu_init,pv40) = init
        & leq(pv40,n4)
        & ! [X6] :
            ( ( leq(X6,n4)
              & leq(n0,X6) )
           => init = a_select3(center_init,X6,n0) )
        & leq(n0,pv40)
        & ( gt(loopcounter,n1)
         => ! [X0] :
              ( ( leq(n0,X0)
                & leq(X0,n4) )
             => init = a_select2(rhoold_init,X0) ) )
        & ( gt(loopcounter,n1)
         => ! [X5] :
              ( ( leq(n0,X5)
                & leq(X5,n4) )
             => init = a_select2(sigmaold_init,X5) ) )
        & ( gt(loopcounter,n1)
         => ! [X3] :
              ( ( leq(n0,X3)
                & leq(X3,n4) )
             => init = a_select2(muold_init,X3) ) )
        & leq(n0,pv46)
        & ! [X4] :
            ( ( leq(X4,pred(pv40))
              & leq(n0,X4) )
           => init = a_select2(sigma_init,X4) )
        & leq(pv46,n135299)
        & ! [X1] :
            ( ( leq(X1,n135299)
              & leq(n0,X1) )
           => ! [X2] :
                ( ( leq(X2,n4)
                  & leq(n0,X2) )
               => init = a_select3(q_init,X1,X2) ) ) )
     => init = a_select3(q_init,pv46,pv40) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv46,n135299)
        & ( gt(loopcounter,n1)
         => ! [X28] :
              ( ( leq(n0,X28)
                & leq(X28,n4) )
             => init = a_select2(rhoold_init,X28) ) )
        & ! [X13] :
            ( ( leq(X13,n135299)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n4)
                  & leq(n0,X17) )
               => init = a_select3(q_init,X13,X17) ) )
        & ( gt(loopcounter,n1)
         => ! [X27] :
              ( ( leq(X27,n4)
                & leq(n0,X27) )
             => init = a_select2(muold_init,X27) ) )
        & ! [X20] :
            ( ( leq(X20,pred(pv40))
              & leq(n0,X20) )
           => init = a_select2(sigma_init,X20) )
        & ( gt(loopcounter,n1)
         => ! [X4] :
              ( ( leq(n0,X4)
                & leq(X4,n4) )
             => init = a_select2(sigmaold_init,X4) ) )
        & ! [X21] :
            ( ( leq(X21,n4)
              & leq(n0,X21) )
           => init = a_select3(center_init,X21,n0) )
        & leq(n0,pv40)
        & ! [X19] :
            ( ( leq(X19,pred(pv40))
              & leq(n0,X19) )
           => init = a_select2(mu_init,X19) )
        & leq(n0,pv46)
        & a_select2(mu_init,pv40) = init
        & leq(pv40,n4)
        & ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select2(rho_init,X3) ) )
     => init = a_select3(q_init,pv46,pv40) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv46,n135299)
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => init = a_select2(rhoold_init,X28) ) )
      & ! [X13] :
          ( ( leq(X13,n135299)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n4)
                & leq(n0,X17) )
             => init = a_select3(q_init,X13,X17) ) )
      & ( gt(loopcounter,n1)
       => ! [X27] :
            ( ( leq(X27,n4)
              & leq(n0,X27) )
           => init = a_select2(muold_init,X27) ) )
      & ! [X20] :
          ( ( leq(X20,pred(pv40))
            & leq(n0,X20) )
         => init = a_select2(sigma_init,X20) )
      & ( gt(loopcounter,n1)
       => ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,n4) )
           => init = a_select2(sigmaold_init,X4) ) )
      & ! [X21] :
          ( ( leq(X21,n4)
            & leq(n0,X21) )
         => init = a_select3(center_init,X21,n0) )
      & leq(n0,pv40)
      & ! [X19] :
          ( ( leq(X19,pred(pv40))
            & leq(n0,X19) )
         => init = a_select2(mu_init,X19) )
      & leq(n0,pv46)
      & a_select2(mu_init,pv40) = init
      & leq(pv40,n4)
      & ! [X3] :
          ( ( leq(X3,n4)
            & leq(n0,X3) )
         => init = a_select2(rho_init,X3) ) )
   => init = a_select3(q_init,pv46,pv40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0016) ).

fof(f302,plain,
    init = a_select3(q_init,pv46,pv40),
    inference(subsumption_resolution,[],[f281,f169]) ).

fof(f169,plain,
    leq(pv46,n135299),
    inference(cnf_transformation,[],[f126]) ).

fof(f281,plain,
    ( ~ leq(pv46,n135299)
    | init = a_select3(q_init,pv46,pv40) ),
    inference(resolution,[],[f280,f165]) ).

fof(f165,plain,
    leq(n0,pv46),
    inference(cnf_transformation,[],[f126]) ).

fof(f280,plain,
    ! [X1] :
      ( ~ leq(n0,X1)
      | init = a_select3(q_init,X1,pv40)
      | ~ leq(X1,n135299) ),
    inference(subsumption_resolution,[],[f278,f168]) ).

fof(f168,plain,
    leq(pv40,n4),
    inference(cnf_transformation,[],[f126]) ).

fof(f278,plain,
    ! [X1] :
      ( init = a_select3(q_init,X1,pv40)
      | ~ leq(X1,n135299)
      | ~ leq(pv40,n4)
      | ~ leq(n0,X1) ),
    inference(resolution,[],[f164,f167]) ).

fof(f167,plain,
    leq(n0,pv40),
    inference(cnf_transformation,[],[f126]) ).

fof(f164,plain,
    ! [X3,X4] :
      ( ~ leq(n0,X4)
      | init = a_select3(q_init,X3,X4)
      | ~ leq(n0,X3)
      | ~ leq(X3,n135299)
      | ~ leq(X4,n4) ),
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SWV168+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 18:50:16 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  % (11403)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.51  % (11411)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  % (11423)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)
% 0.21/0.55  % (11417)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.55  % (11399)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)
% 0.21/0.55  % (11395)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.55  % (11397)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)
% 0.21/0.55  % (11397)Instruction limit reached!
% 0.21/0.55  % (11397)------------------------------
% 0.21/0.55  % (11397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (11397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (11397)Termination reason: Unknown
% 0.21/0.55  % (11397)Termination phase: Preprocessing 3
% 0.21/0.55  
% 0.21/0.55  % (11397)Memory used [KB]: 1535
% 0.21/0.55  % (11397)Time elapsed: 0.003 s
% 0.21/0.55  % (11397)Instructions burned: 3 (million)
% 0.21/0.55  % (11397)------------------------------
% 0.21/0.55  % (11397)------------------------------
% 0.21/0.55  % (11398)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)
% 0.21/0.55  % (11400)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.55  % (11399)First to succeed.
% 0.21/0.55  % (11409)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55  % (11405)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.56  % (11409)Instruction limit reached!
% 0.21/0.56  % (11409)------------------------------
% 0.21/0.56  % (11409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (11409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (11409)Termination reason: Unknown
% 0.21/0.56  % (11409)Termination phase: Preprocessing 3
% 0.21/0.56  
% 0.21/0.56  % (11409)Memory used [KB]: 1535
% 0.21/0.56  % (11409)Time elapsed: 0.004 s
% 0.21/0.56  % (11409)Instructions burned: 3 (million)
% 0.21/0.56  % (11409)------------------------------
% 0.21/0.56  % (11409)------------------------------
% 0.21/0.56  % (11399)Refutation found. Thanks to Tanya!
% 0.21/0.56  % SZS status Theorem for theBenchmark
% 0.21/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56  % (11399)------------------------------
% 0.21/0.56  % (11399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (11399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (11399)Termination reason: Refutation
% 0.21/0.56  
% 0.21/0.56  % (11399)Memory used [KB]: 6140
% 0.21/0.56  % (11399)Time elapsed: 0.123 s
% 0.21/0.56  % (11399)Instructions burned: 5 (million)
% 0.21/0.56  % (11399)------------------------------
% 0.21/0.56  % (11399)------------------------------
% 0.21/0.56  % (11394)Success in time 0.185 s
%------------------------------------------------------------------------------