TSTP Solution File: SWV106+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV106+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_sat --cores 0 -t %d %s

% Computer : n022.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 18:55:31 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :  160 (  42 equ)
%            Maximal formula atoms :   26 (  16 avg)
%            Number of connectives :  210 (  60   ~;  54   |;  72   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  14 con; 0-3 aty)
%            Number of variables   :   54 (  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f485,plain,
    $false,
    inference(subsumption_resolution,[],[f251,f325]) ).

fof(f325,plain,
    ~ true,
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ( ! [X0] :
        ( ~ leq(n0,X0)
        | ~ leq(X0,minus(m_measvars,n1))
        | use = a_select2(rho_defuse,X0) )
    & ~ true
    & ! [X1,X2] :
        ( ~ leq(X1,minus(m_measvars,n1))
        | ~ leq(n0,X2)
        | ~ leq(n0,X1)
        | ~ leq(X2,minus(n_steps,n1))
        | use = a_select3(z_defuse,X1,X2) )
    & ! [X3] :
        ( ~ leq(X3,minus(n_statevars,n1))
        | use = a_select2(sigma_defuse,X3)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( ~ leq(X4,minus(n_statevars,n1))
        | ~ leq(n0,X4)
        | use = a_select2(xinit_noise_defuse,X4) )
    & ! [X5] :
        ( ~ leq(X5,minus(n_statevars,n1))
        | ~ leq(n0,X5)
        | use = a_select2(xinit_defuse,X5) )
    & ! [X6,X7] :
        ( ~ leq(X7,minus(n_steps,n1))
        | ~ leq(X6,n2)
        | ~ leq(n0,X6)
        | ~ leq(n0,X7)
        | use = a_select3(u_defuse,X6,X7) )
    & ! [X8] :
        ( ~ leq(X8,minus(n_statevars,n1))
        | ~ leq(n0,X8)
        | use = a_select2(xinit_mean_defuse,X8) ) ),
    inference(rectify,[],[f163]) ).

fof(f163,plain,
    ( ! [X8] :
        ( ~ leq(n0,X8)
        | ~ leq(X8,minus(m_measvars,n1))
        | use = a_select2(rho_defuse,X8) )
    & ~ true
    & ! [X7,X6] :
        ( ~ leq(X7,minus(m_measvars,n1))
        | ~ leq(n0,X6)
        | ~ leq(n0,X7)
        | ~ leq(X6,minus(n_steps,n1))
        | use = a_select3(z_defuse,X7,X6) )
    & ! [X4] :
        ( ~ leq(X4,minus(n_statevars,n1))
        | use = a_select2(sigma_defuse,X4)
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( ~ leq(X5,minus(n_statevars,n1))
        | ~ leq(n0,X5)
        | use = a_select2(xinit_noise_defuse,X5) )
    & ! [X0] :
        ( ~ leq(X0,minus(n_statevars,n1))
        | ~ leq(n0,X0)
        | use = a_select2(xinit_defuse,X0) )
    & ! [X2,X3] :
        ( ~ leq(X3,minus(n_steps,n1))
        | ~ leq(X2,n2)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | use = a_select3(u_defuse,X2,X3) )
    & ! [X1] :
        ( ~ leq(X1,minus(n_statevars,n1))
        | ~ leq(n0,X1)
        | use = a_select2(xinit_mean_defuse,X1) ) ),
    inference(flattening,[],[f162]) ).

fof(f162,plain,
    ( ~ true
    & ! [X4] :
        ( use = a_select2(sigma_defuse,X4)
        | ~ leq(n0,X4)
        | ~ leq(X4,minus(n_statevars,n1)) )
    & ! [X2,X3] :
        ( use = a_select3(u_defuse,X2,X3)
        | ~ leq(n0,X2)
        | ~ leq(X3,minus(n_steps,n1))
        | ~ leq(n0,X3)
        | ~ leq(X2,n2) )
    & ! [X1] :
        ( use = a_select2(xinit_mean_defuse,X1)
        | ~ leq(n0,X1)
        | ~ leq(X1,minus(n_statevars,n1)) )
    & ! [X5] :
        ( use = a_select2(xinit_noise_defuse,X5)
        | ~ leq(X5,minus(n_statevars,n1))
        | ~ leq(n0,X5) )
    & ! [X7,X6] :
        ( use = a_select3(z_defuse,X7,X6)
        | ~ leq(n0,X7)
        | ~ leq(n0,X6)
        | ~ leq(X7,minus(m_measvars,n1))
        | ~ leq(X6,minus(n_steps,n1)) )
    & ! [X8] :
        ( use = a_select2(rho_defuse,X8)
        | ~ leq(n0,X8)
        | ~ leq(X8,minus(m_measvars,n1)) )
    & ! [X0] :
        ( use = a_select2(xinit_defuse,X0)
        | ~ leq(X0,minus(n_statevars,n1))
        | ~ leq(n0,X0) ) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f92,plain,
    ~ ( ( ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,minus(n_statevars,n1)) )
           => use = a_select2(sigma_defuse,X4) )
        & ! [X2,X3] :
            ( ( leq(n0,X2)
              & leq(X3,minus(n_steps,n1))
              & leq(n0,X3)
              & leq(X2,n2) )
           => use = a_select3(u_defuse,X2,X3) )
        & ! [X1] :
            ( ( leq(n0,X1)
              & leq(X1,minus(n_statevars,n1)) )
           => use = a_select2(xinit_mean_defuse,X1) )
        & ! [X5] :
            ( ( leq(X5,minus(n_statevars,n1))
              & leq(n0,X5) )
           => use = a_select2(xinit_noise_defuse,X5) )
        & ! [X7,X6] :
            ( ( leq(n0,X7)
              & leq(n0,X6)
              & leq(X7,minus(m_measvars,n1))
              & leq(X6,minus(n_steps,n1)) )
           => use = a_select3(z_defuse,X7,X6) )
        & ! [X8] :
            ( ( leq(n0,X8)
              & leq(X8,minus(m_measvars,n1)) )
           => use = a_select2(rho_defuse,X8) )
        & ! [X0] :
            ( ( leq(X0,minus(n_statevars,n1))
              & leq(n0,X0) )
           => use = a_select2(xinit_defuse,X0) ) )
     => true ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X20] :
            ( ( leq(n0,X20)
              & leq(X20,minus(n_statevars,n1)) )
           => use = a_select2(xinit_defuse,X20) )
        & ! [X21] :
            ( ( leq(X21,minus(n_statevars,n1))
              & leq(n0,X21) )
           => use = a_select2(xinit_mean_defuse,X21) )
        & ! [X3,X19] :
            ( ( leq(n0,X3)
              & leq(n0,X19)
              & leq(X19,minus(n_steps,n1))
              & leq(X3,n2) )
           => use = a_select3(u_defuse,X3,X19) )
        & ! [X17] :
            ( ( leq(n0,X17)
              & leq(X17,minus(n_statevars,n1)) )
           => use = a_select2(sigma_defuse,X17) )
        & ! [X27] :
            ( ( leq(X27,minus(n_statevars,n1))
              & leq(n0,X27) )
           => use = a_select2(xinit_noise_defuse,X27) )
        & ! [X4,X28] :
            ( ( leq(X4,minus(n_steps,n1))
              & leq(n0,X28)
              & leq(X28,minus(m_measvars,n1))
              & leq(n0,X4) )
           => use = a_select3(z_defuse,X28,X4) )
        & ! [X13] :
            ( ( leq(X13,minus(m_measvars,n1))
              & leq(n0,X13) )
           => use = a_select2(rho_defuse,X13) ) )
     => true ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,minus(n_statevars,n1)) )
         => use = a_select2(xinit_defuse,X20) )
      & ! [X21] :
          ( ( leq(X21,minus(n_statevars,n1))
            & leq(n0,X21) )
         => use = a_select2(xinit_mean_defuse,X21) )
      & ! [X3,X19] :
          ( ( leq(n0,X3)
            & leq(n0,X19)
            & leq(X19,minus(n_steps,n1))
            & leq(X3,n2) )
         => use = a_select3(u_defuse,X3,X19) )
      & ! [X17] :
          ( ( leq(n0,X17)
            & leq(X17,minus(n_statevars,n1)) )
         => use = a_select2(sigma_defuse,X17) )
      & ! [X27] :
          ( ( leq(X27,minus(n_statevars,n1))
            & leq(n0,X27) )
         => use = a_select2(xinit_noise_defuse,X27) )
      & ! [X4,X28] :
          ( ( leq(X4,minus(n_steps,n1))
            & leq(n0,X28)
            & leq(X28,minus(m_measvars,n1))
            & leq(n0,X4) )
         => use = a_select3(z_defuse,X28,X4) )
      & ! [X13] :
          ( ( leq(X13,minus(m_measvars,n1))
            & leq(n0,X13) )
         => use = a_select2(rho_defuse,X13) ) )
   => true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0018) ).

fof(f251,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

fof(f51,axiom,
    true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ttrue) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV106+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:02:26 EDT 2022
% 0.18/0.34  % CPUTime    : 
% 0.19/0.45  % (15348)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.47  % (15369)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.48  % (15348)First to succeed.
% 0.19/0.48  % (15361)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.48  % (15353)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49  % (15348)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (15348)------------------------------
% 0.19/0.49  % (15348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (15348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (15348)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (15348)Memory used [KB]: 5756
% 0.19/0.49  % (15348)Time elapsed: 0.091 s
% 0.19/0.49  % (15348)Instructions burned: 13 (million)
% 0.19/0.49  % (15348)------------------------------
% 0.19/0.49  % (15348)------------------------------
% 0.19/0.49  % (15340)Success in time 0.145 s
%------------------------------------------------------------------------------