TSTP Solution File: SWV106+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV106+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 : Tue Apr 30 16:39:35 EDT 2024

% Result   : Theorem 0.22s 0.38s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :  159 (  42 equ)
%            Maximal formula atoms :   26 (   9 avg)
%            Number of connectives :  202 (  59   ~;  54   |;  65   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 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(f409,plain,
    $false,
    inference(global_subsumption,[],[f253,f252,f251,f250,f249,f248,f247,f246,f254]) ).

fof(f254,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

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

fof(f246,plain,
    ! [X8] :
      ( use = a_select2(rho_defuse,X8)
      | ~ leq(X8,minus(m_measvars,n1))
      | ~ leq(n0,X8) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ~ true
    & ! [X0,X1] :
        ( use = a_select3(z_defuse,X0,X1)
        | ~ leq(X1,minus(n_steps,n1))
        | ~ leq(X0,minus(m_measvars,n1))
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & ! [X2] :
        ( use = a_select2(xinit_noise_defuse,X2)
        | ~ leq(X2,minus(n_statevars,n1))
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( use = a_select2(xinit_mean_defuse,X3)
        | ~ leq(X3,minus(n_statevars,n1))
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( use = a_select2(xinit_defuse,X4)
        | ~ leq(X4,minus(n_statevars,n1))
        | ~ leq(n0,X4) )
    & ! [X5,X6] :
        ( use = a_select3(u_defuse,X5,X6)
        | ~ leq(X6,minus(n_steps,n1))
        | ~ leq(X5,n2)
        | ~ leq(n0,X6)
        | ~ leq(n0,X5) )
    & ! [X7] :
        ( use = a_select2(sigma_defuse,X7)
        | ~ leq(X7,minus(n_statevars,n1))
        | ~ leq(n0,X7) )
    & ! [X8] :
        ( use = a_select2(rho_defuse,X8)
        | ~ leq(X8,minus(m_measvars,n1))
        | ~ leq(n0,X8) ) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ( ~ true
    & ! [X0,X1] :
        ( use = a_select3(z_defuse,X0,X1)
        | ~ leq(X1,minus(n_steps,n1))
        | ~ leq(X0,minus(m_measvars,n1))
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & ! [X2] :
        ( use = a_select2(xinit_noise_defuse,X2)
        | ~ leq(X2,minus(n_statevars,n1))
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( use = a_select2(xinit_mean_defuse,X3)
        | ~ leq(X3,minus(n_statevars,n1))
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( use = a_select2(xinit_defuse,X4)
        | ~ leq(X4,minus(n_statevars,n1))
        | ~ leq(n0,X4) )
    & ! [X5,X6] :
        ( use = a_select3(u_defuse,X5,X6)
        | ~ leq(X6,minus(n_steps,n1))
        | ~ leq(X5,n2)
        | ~ leq(n0,X6)
        | ~ leq(n0,X5) )
    & ! [X7] :
        ( use = a_select2(sigma_defuse,X7)
        | ~ leq(X7,minus(n_statevars,n1))
        | ~ leq(n0,X7) )
    & ! [X8] :
        ( use = a_select2(rho_defuse,X8)
        | ~ leq(X8,minus(m_measvars,n1))
        | ~ leq(n0,X8) ) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ~ ( ( ! [X0,X1] :
            ( ( leq(X1,minus(n_steps,n1))
              & leq(X0,minus(m_measvars,n1))
              & leq(n0,X1)
              & leq(n0,X0) )
           => use = a_select3(z_defuse,X0,X1) )
        & ! [X2] :
            ( ( leq(X2,minus(n_statevars,n1))
              & leq(n0,X2) )
           => use = a_select2(xinit_noise_defuse,X2) )
        & ! [X3] :
            ( ( leq(X3,minus(n_statevars,n1))
              & leq(n0,X3) )
           => use = a_select2(xinit_mean_defuse,X3) )
        & ! [X4] :
            ( ( leq(X4,minus(n_statevars,n1))
              & leq(n0,X4) )
           => use = a_select2(xinit_defuse,X4) )
        & ! [X5,X6] :
            ( ( leq(X6,minus(n_steps,n1))
              & leq(X5,n2)
              & leq(n0,X6)
              & leq(n0,X5) )
           => use = a_select3(u_defuse,X5,X6) )
        & ! [X7] :
            ( ( leq(X7,minus(n_statevars,n1))
              & leq(n0,X7) )
           => use = a_select2(sigma_defuse,X7) )
        & ! [X8] :
            ( ( leq(X8,minus(m_measvars,n1))
              & leq(n0,X8) )
           => use = a_select2(rho_defuse,X8) ) )
     => true ),
    inference(rectify,[],[f54]) ).

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

fof(f53,conjecture,
    ( ( ! [X28,X4] :
          ( ( leq(X4,minus(n_steps,n1))
            & leq(X28,minus(m_measvars,n1))
            & leq(n0,X4)
            & leq(n0,X28) )
         => use = a_select3(z_defuse,X28,X4) )
      & ! [X27] :
          ( ( leq(X27,minus(n_statevars,n1))
            & leq(n0,X27) )
         => use = a_select2(xinit_noise_defuse,X27) )
      & ! [X21] :
          ( ( leq(X21,minus(n_statevars,n1))
            & leq(n0,X21) )
         => use = a_select2(xinit_mean_defuse,X21) )
      & ! [X20] :
          ( ( leq(X20,minus(n_statevars,n1))
            & leq(n0,X20) )
         => use = a_select2(xinit_defuse,X20) )
      & ! [X3,X19] :
          ( ( leq(X19,minus(n_steps,n1))
            & leq(X3,n2)
            & leq(n0,X19)
            & leq(n0,X3) )
         => use = a_select3(u_defuse,X3,X19) )
      & ! [X17] :
          ( ( leq(X17,minus(n_statevars,n1))
            & leq(n0,X17) )
         => use = a_select2(sigma_defuse,X17) )
      & ! [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(f247,plain,
    ! [X7] :
      ( use = a_select2(sigma_defuse,X7)
      | ~ leq(X7,minus(n_statevars,n1))
      | ~ leq(n0,X7) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f248,plain,
    ! [X6,X5] :
      ( use = a_select3(u_defuse,X5,X6)
      | ~ leq(X6,minus(n_steps,n1))
      | ~ leq(X5,n2)
      | ~ leq(n0,X6)
      | ~ leq(n0,X5) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f249,plain,
    ! [X4] :
      ( use = a_select2(xinit_defuse,X4)
      | ~ leq(X4,minus(n_statevars,n1))
      | ~ leq(n0,X4) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f250,plain,
    ! [X3] :
      ( use = a_select2(xinit_mean_defuse,X3)
      | ~ leq(X3,minus(n_statevars,n1))
      | ~ leq(n0,X3) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f251,plain,
    ! [X2] :
      ( use = a_select2(xinit_noise_defuse,X2)
      | ~ leq(X2,minus(n_statevars,n1))
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( use = a_select3(z_defuse,X0,X1)
      | ~ leq(X1,minus(n_steps,n1))
      | ~ leq(X0,minus(m_measvars,n1))
      | ~ leq(n0,X1)
      | ~ leq(n0,X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f253,plain,
    ~ true,
    inference(cnf_transformation,[],[f109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV106+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 04:35:20 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (12619)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37  % (12622)WARNING: value z3 for option sas not known
% 0.22/0.38  % (12620)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (12623)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (12622)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (12621)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (12624)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38  % (12625)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38  % (12626)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38  % (12622)First to succeed.
% 0.22/0.38  % (12626)Also succeeded, but the first one will report.
% 0.22/0.38  % (12624)Also succeeded, but the first one will report.
% 0.22/0.38  % (12622)Refutation found. Thanks to Tanya!
% 0.22/0.38  % SZS status Theorem for theBenchmark
% 0.22/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38  % (12622)------------------------------
% 0.22/0.38  % (12622)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38  % (12622)Termination reason: Refutation
% 0.22/0.38  
% 0.22/0.38  % (12622)Memory used [KB]: 1067
% 0.22/0.38  % (12622)Time elapsed: 0.009 s
% 0.22/0.38  % (12622)Instructions burned: 12 (million)
% 0.22/0.38  % (12622)------------------------------
% 0.22/0.38  % (12622)------------------------------
% 0.22/0.38  % (12619)Success in time 0.028 s
%------------------------------------------------------------------------------