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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n017.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 18:44:10 EDT 2022

% Result   : Theorem 0.19s 0.53s
% 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(f286,plain,
    $false,
    inference(resolution,[],[f160,f212]) ).

fof(f212,plain,
    true,
    inference(cnf_transformation,[],[f51]) ).

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

fof(f160,plain,
    ~ true,
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ! [X0,X1] :
        ( ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | use = a_select3(u_defuse,X0,X1)
        | ~ leq(n0,X0)
        | ~ leq(X1,minus(n_steps,n1)) )
    & ! [X2] :
        ( use = a_select2(xinit_noise_defuse,X2)
        | ~ leq(X2,minus(n_statevars,n1))
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( use = a_select2(sigma_defuse,X3)
        | ~ leq(X3,minus(n_statevars,n1))
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( ~ leq(X4,minus(n_statevars,n1))
        | ~ leq(n0,X4)
        | use = a_select2(xinit_mean_defuse,X4) )
    & ! [X5] :
        ( use = a_select2(xinit_defuse,X5)
        | ~ leq(n0,X5)
        | ~ leq(X5,minus(n_statevars,n1)) )
    & ! [X6] :
        ( ~ leq(X6,minus(m_measvars,n1))
        | use = a_select2(rho_defuse,X6)
        | ~ leq(n0,X6) )
    & ! [X7,X8] :
        ( ~ leq(X7,minus(n_steps,n1))
        | use = a_select3(z_defuse,X8,X7)
        | ~ leq(n0,X8)
        | ~ leq(n0,X7)
        | ~ leq(X8,minus(m_measvars,n1)) )
    & ~ true ),
    inference(rectify,[],[f106]) ).

fof(f106,plain,
    ( ! [X1,X0] :
        ( ~ leq(X1,n2)
        | ~ leq(n0,X0)
        | use = a_select3(u_defuse,X1,X0)
        | ~ leq(n0,X1)
        | ~ leq(X0,minus(n_steps,n1)) )
    & ! [X6] :
        ( use = a_select2(xinit_noise_defuse,X6)
        | ~ leq(X6,minus(n_statevars,n1))
        | ~ leq(n0,X6) )
    & ! [X8] :
        ( use = a_select2(sigma_defuse,X8)
        | ~ leq(X8,minus(n_statevars,n1))
        | ~ leq(n0,X8) )
    & ! [X7] :
        ( ~ leq(X7,minus(n_statevars,n1))
        | ~ leq(n0,X7)
        | use = a_select2(xinit_mean_defuse,X7) )
    & ! [X5] :
        ( use = a_select2(xinit_defuse,X5)
        | ~ leq(n0,X5)
        | ~ leq(X5,minus(n_statevars,n1)) )
    & ! [X4] :
        ( ~ leq(X4,minus(m_measvars,n1))
        | use = a_select2(rho_defuse,X4)
        | ~ leq(n0,X4) )
    & ! [X3,X2] :
        ( ~ leq(X3,minus(n_steps,n1))
        | use = a_select3(z_defuse,X2,X3)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,minus(m_measvars,n1)) )
    & ~ true ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ( ~ true
    & ! [X5] :
        ( use = a_select2(xinit_defuse,X5)
        | ~ leq(X5,minus(n_statevars,n1))
        | ~ leq(n0,X5) )
    & ! [X6] :
        ( use = a_select2(xinit_noise_defuse,X6)
        | ~ leq(n0,X6)
        | ~ leq(X6,minus(n_statevars,n1)) )
    & ! [X4] :
        ( use = a_select2(rho_defuse,X4)
        | ~ leq(n0,X4)
        | ~ leq(X4,minus(m_measvars,n1)) )
    & ! [X8] :
        ( use = a_select2(sigma_defuse,X8)
        | ~ leq(X8,minus(n_statevars,n1))
        | ~ leq(n0,X8) )
    & ! [X2,X3] :
        ( use = a_select3(z_defuse,X2,X3)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2)
        | ~ leq(X2,minus(m_measvars,n1))
        | ~ leq(X3,minus(n_steps,n1)) )
    & ! [X0,X1] :
        ( use = a_select3(u_defuse,X1,X0)
        | ~ leq(X1,n2)
        | ~ leq(X0,minus(n_steps,n1))
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & ! [X7] :
        ( use = a_select2(xinit_mean_defuse,X7)
        | ~ leq(n0,X7)
        | ~ leq(X7,minus(n_statevars,n1)) ) ),
    inference(ennf_transformation,[],[f87]) ).

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

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

fof(f53,conjecture,
    ( ( ! [X19,X3] :
          ( ( leq(X3,n2)
            & leq(n0,X3)
            & leq(n0,X19)
            & leq(X19,minus(n_steps,n1)) )
         => use = a_select3(u_defuse,X3,X19) )
      & ! [X28,X4] :
          ( ( leq(X28,minus(m_measvars,n1))
            & leq(n0,X4)
            & leq(n0,X28)
            & leq(X4,minus(n_steps,n1)) )
         => use = a_select3(z_defuse,X28,X4) )
      & ! [X13] :
          ( ( leq(n0,X13)
            & leq(X13,minus(m_measvars,n1)) )
         => use = a_select2(rho_defuse,X13) )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,minus(n_statevars,n1)) )
         => use = a_select2(xinit_defuse,X20) )
      & ! [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) )
      & ! [X17] :
          ( ( leq(n0,X17)
            & leq(X17,minus(n_statevars,n1)) )
         => use = a_select2(sigma_defuse,X17) ) )
   => true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0018) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV106+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.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 18:25:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (9622)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.51  % (9609)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51  % (9614)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (9625)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)
% 0.19/0.51  % (9633)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)
% 0.19/0.51  % (9617)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)
% 0.19/0.52  % (9615)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)
% 0.19/0.52  % (9617)Instruction limit reached!
% 0.19/0.52  % (9617)------------------------------
% 0.19/0.52  % (9617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (9617)Termination reason: Unknown
% 0.19/0.52  % (9617)Termination phase: Preprocessing 3
% 0.19/0.52  
% 0.19/0.52  % (9617)Memory used [KB]: 1535
% 0.19/0.52  % (9617)Time elapsed: 0.004 s
% 0.19/0.52  % (9633)Instruction limit reached!
% 0.19/0.52  % (9633)------------------------------
% 0.19/0.52  % (9633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (9617)Instructions burned: 3 (million)
% 0.19/0.52  % (9617)------------------------------
% 0.19/0.52  % (9617)------------------------------
% 0.19/0.52  % (9622)First to succeed.
% 0.19/0.53  % (9608)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)
% 0.19/0.53  % (9633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9633)Termination reason: Unknown
% 0.19/0.53  % (9633)Termination phase: Property scanning
% 0.19/0.53  
% 0.19/0.53  % (9633)Memory used [KB]: 1663
% 0.19/0.53  % (9633)Time elapsed: 0.005 s
% 0.19/0.53  % (9633)Instructions burned: 8 (million)
% 0.19/0.53  % (9633)------------------------------
% 0.19/0.53  % (9633)------------------------------
% 0.19/0.53  % (9622)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (9622)------------------------------
% 0.19/0.53  % (9622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9622)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (9622)Memory used [KB]: 6140
% 0.19/0.53  % (9622)Time elapsed: 0.121 s
% 0.19/0.53  % (9622)Instructions burned: 6 (million)
% 0.19/0.53  % (9622)------------------------------
% 0.19/0.53  % (9622)------------------------------
% 0.19/0.53  % (9594)Success in time 0.172 s
%------------------------------------------------------------------------------