TSTP Solution File: SWV106+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV106+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 : Thu Aug 31 22:31:09 EDT 2023

% Result   : Theorem 0.63s 1.14s
% Output   : CNFRefutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :  136 (  35 equ)
%            Maximal formula atoms :   26 (  12 avg)
%            Number of connectives :  167 (  42   ~;  36   |;  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   :   45 (   0 sgn;  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,axiom,
    true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).

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/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0018) ).

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(f107,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(f148,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,[],[f107]) ).

fof(f149,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,[],[f148]) ).

fof(f325,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

fof(f334,plain,
    ~ true,
    inference(cnf_transformation,[],[f149]) ).

cnf(c_156,plain,
    true,
    inference(cnf_transformation,[],[f325]) ).

cnf(c_158,negated_conjecture,
    ~ true,
    inference(cnf_transformation,[],[f334]) ).

cnf(c_198,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_158,c_156]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV106+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue Aug 29 03:59:01 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.63/1.14  % SZS status Started for theBenchmark.p
% 0.63/1.14  % SZS status Theorem for theBenchmark.p
% 0.63/1.14  
% 0.63/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.63/1.14  
% 0.63/1.14  ------  iProver source info
% 0.63/1.14  
% 0.63/1.14  git: date: 2023-05-31 18:12:56 +0000
% 0.63/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.63/1.14  git: non_committed_changes: false
% 0.63/1.14  git: last_make_outside_of_git: false
% 0.63/1.14  
% 0.63/1.14  ------ Parsing...
% 0.63/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.63/1.14  
% 0.63/1.14  ------ Preprocessing...
% 0.63/1.14  
% 0.63/1.14  % SZS status Theorem for theBenchmark.p
% 0.63/1.14  
% 0.63/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.63/1.14  
% 0.63/1.14  
%------------------------------------------------------------------------------