TSTP Solution File: SWV215+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV215+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 May 21 06:13:49 EDT 2024

% Result   : Theorem 0.20s 0.39s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 def)
%            Number of atoms       :  607 ( 574 equ)
%            Maximal formula atoms :  150 (  50 avg)
%            Number of connectives : 1035 ( 440   ~; 167   |; 421   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   45 (  26 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   12 (   6   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f583,plain,
    $false,
    inference(trivial_inequality_removal,[],[f480]) ).

fof(f480,plain,
    ( sK14 != sK14
    | sK13 != sK13 ),
    inference(definition_unfolding,[],[f261,f296,f293]) ).

fof(f293,plain,
    n0 = sK13,
    inference(cnf_transformation,[],[f193]) ).

fof(f193,plain,
    ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
    & n4 = sK14
    & n2 = sK14
    & n2 = sK13
    & n0 = sK13
    & ( n5 != sK14
      | n5 != sK13 )
    & ( n5 != sK13
      | n4 != sK14 )
    & ( n5 != sK14
      | n4 != sK13 )
    & ( n4 != sK14
      | n4 != sK13 )
    & ( n5 != sK13
      | n3 != sK14 )
    & ( n4 != sK13
      | n3 != sK14 )
    & ( n5 != sK14
      | n3 != sK13 )
    & ( n4 != sK14
      | n3 != sK13 )
    & ( n3 != sK14
      | n3 != sK13 )
    & ( n5 != sK13
      | n2 != sK14 )
    & ( n4 != sK13
      | n2 != sK14 )
    & ( n3 != sK13
      | n2 != sK14 )
    & ( n5 != sK14
      | n2 != sK13 )
    & ( n4 != sK14
      | n2 != sK13 )
    & ( n3 != sK14
      | n2 != sK13 )
    & ( n2 != sK14
      | n2 != sK13 )
    & ( n5 != sK13
      | n1 != sK14 )
    & ( n4 != sK13
      | n1 != sK14 )
    & ( n3 != sK13
      | n1 != sK14 )
    & ( n2 != sK13
      | n1 != sK14 )
    & ( n5 != sK14
      | n1 != sK13 )
    & ( n4 != sK14
      | n1 != sK13 )
    & ( n3 != sK14
      | n1 != sK13 )
    & ( n2 != sK14
      | n1 != sK13 )
    & ( n1 != sK14
      | n1 != sK13 )
    & ( n5 != sK13
      | n0 != sK14 )
    & ( n4 != sK13
      | n0 != sK14 )
    & ( n3 != sK13
      | n0 != sK14 )
    & ( n2 != sK13
      | n0 != sK14 )
    & ( n1 != sK13
      | n0 != sK14 )
    & ( n5 != sK14
      | n0 != sK13 )
    & ( n4 != sK14
      | n0 != sK13 )
    & ( n3 != sK14
      | n0 != sK13 )
    & leq(sK14,n5)
    & leq(sK13,n5)
    & leq(n0,sK14)
    & leq(n0,sK13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f117,f192]) ).

fof(f192,plain,
    ( ? [X0,X1] :
        ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
        & n4 = X1
        & n2 = X1
        & n2 = X0
        & n0 = X0
        & ( n5 != X1
          | n5 != X0 )
        & ( n5 != X0
          | n4 != X1 )
        & ( n5 != X1
          | n4 != X0 )
        & ( n4 != X1
          | n4 != X0 )
        & ( n5 != X0
          | n3 != X1 )
        & ( n4 != X0
          | n3 != X1 )
        & ( n5 != X1
          | n3 != X0 )
        & ( n4 != X1
          | n3 != X0 )
        & ( n3 != X1
          | n3 != X0 )
        & ( n5 != X0
          | n2 != X1 )
        & ( n4 != X0
          | n2 != X1 )
        & ( n3 != X0
          | n2 != X1 )
        & ( n5 != X1
          | n2 != X0 )
        & ( n4 != X1
          | n2 != X0 )
        & ( n3 != X1
          | n2 != X0 )
        & ( n2 != X1
          | n2 != X0 )
        & ( n5 != X0
          | n1 != X1 )
        & ( n4 != X0
          | n1 != X1 )
        & ( n3 != X0
          | n1 != X1 )
        & ( n2 != X0
          | n1 != X1 )
        & ( n5 != X1
          | n1 != X0 )
        & ( n4 != X1
          | n1 != X0 )
        & ( n3 != X1
          | n1 != X0 )
        & ( n2 != X1
          | n1 != X0 )
        & ( n1 != X1
          | n1 != X0 )
        & ( n5 != X0
          | n0 != X1 )
        & ( n4 != X0
          | n0 != X1 )
        & ( n3 != X0
          | n0 != X1 )
        & ( n2 != X0
          | n0 != X1 )
        & ( n1 != X0
          | n0 != X1 )
        & ( n5 != X1
          | n0 != X0 )
        & ( n4 != X1
          | n0 != X0 )
        & ( n3 != X1
          | n0 != X0 )
        & leq(X1,n5)
        & leq(X0,n5)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
      & n4 = sK14
      & n2 = sK14
      & n2 = sK13
      & n0 = sK13
      & ( n5 != sK14
        | n5 != sK13 )
      & ( n5 != sK13
        | n4 != sK14 )
      & ( n5 != sK14
        | n4 != sK13 )
      & ( n4 != sK14
        | n4 != sK13 )
      & ( n5 != sK13
        | n3 != sK14 )
      & ( n4 != sK13
        | n3 != sK14 )
      & ( n5 != sK14
        | n3 != sK13 )
      & ( n4 != sK14
        | n3 != sK13 )
      & ( n3 != sK14
        | n3 != sK13 )
      & ( n5 != sK13
        | n2 != sK14 )
      & ( n4 != sK13
        | n2 != sK14 )
      & ( n3 != sK13
        | n2 != sK14 )
      & ( n5 != sK14
        | n2 != sK13 )
      & ( n4 != sK14
        | n2 != sK13 )
      & ( n3 != sK14
        | n2 != sK13 )
      & ( n2 != sK14
        | n2 != sK13 )
      & ( n5 != sK13
        | n1 != sK14 )
      & ( n4 != sK13
        | n1 != sK14 )
      & ( n3 != sK13
        | n1 != sK14 )
      & ( n2 != sK13
        | n1 != sK14 )
      & ( n5 != sK14
        | n1 != sK13 )
      & ( n4 != sK14
        | n1 != sK13 )
      & ( n3 != sK14
        | n1 != sK13 )
      & ( n2 != sK14
        | n1 != sK13 )
      & ( n1 != sK14
        | n1 != sK13 )
      & ( n5 != sK13
        | n0 != sK14 )
      & ( n4 != sK13
        | n0 != sK14 )
      & ( n3 != sK13
        | n0 != sK14 )
      & ( n2 != sK13
        | n0 != sK14 )
      & ( n1 != sK13
        | n0 != sK14 )
      & ( n5 != sK14
        | n0 != sK13 )
      & ( n4 != sK14
        | n0 != sK13 )
      & ( n3 != sK14
        | n0 != sK13 )
      & leq(sK14,n5)
      & leq(sK13,n5)
      & leq(n0,sK14)
      & leq(n0,sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ? [X0,X1] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
      & n4 = X1
      & n2 = X1
      & n2 = X0
      & n0 = X0
      & ( n5 != X1
        | n5 != X0 )
      & ( n5 != X0
        | n4 != X1 )
      & ( n5 != X1
        | n4 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n3 != X0 )
      & ( n3 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n4 != X0
        | n2 != X1 )
      & ( n3 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n3 != X1
        | n2 != X0 )
      & ( n2 != X1
        | n2 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n4 != X0
        | n1 != X1 )
      & ( n3 != X0
        | n1 != X1 )
      & ( n2 != X0
        | n1 != X1 )
      & ( n5 != X1
        | n1 != X0 )
      & ( n4 != X1
        | n1 != X0 )
      & ( n3 != X1
        | n1 != X0 )
      & ( n2 != X1
        | n1 != X0 )
      & ( n1 != X1
        | n1 != X0 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n4 != X0
        | n0 != X1 )
      & ( n3 != X0
        | n0 != X1 )
      & ( n2 != X0
        | n0 != X1 )
      & ( n1 != X0
        | n0 != X1 )
      & ( n5 != X1
        | n0 != X0 )
      & ( n4 != X1
        | n0 != X0 )
      & ( n3 != X1
        | n0 != X0 )
      & leq(X1,n5)
      & leq(X0,n5)
      & leq(n0,X1)
      & leq(n0,X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ? [X0,X1] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
      & n4 = X1
      & n2 = X1
      & n2 = X0
      & n0 = X0
      & ( n5 != X1
        | n5 != X0 )
      & ( n5 != X0
        | n4 != X1 )
      & ( n5 != X1
        | n4 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n3 != X0 )
      & ( n3 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n4 != X0
        | n2 != X1 )
      & ( n3 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n3 != X1
        | n2 != X0 )
      & ( n2 != X1
        | n2 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n4 != X0
        | n1 != X1 )
      & ( n3 != X0
        | n1 != X1 )
      & ( n2 != X0
        | n1 != X1 )
      & ( n5 != X1
        | n1 != X0 )
      & ( n4 != X1
        | n1 != X0 )
      & ( n3 != X1
        | n1 != X0 )
      & ( n2 != X1
        | n1 != X0 )
      & ( n1 != X1
        | n1 != X0 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n4 != X0
        | n0 != X1 )
      & ( n3 != X0
        | n0 != X1 )
      & ( n2 != X0
        | n0 != X1 )
      & ( n1 != X0
        | n0 != X1 )
      & ( n5 != X1
        | n0 != X0 )
      & ( n4 != X1
        | n0 != X0 )
      & ( n3 != X1
        | n0 != X0 )
      & leq(X1,n5)
      & leq(X0,n5)
      & leq(n0,X1)
      & leq(n0,X0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ! [X0,X1] :
        ( ( leq(X1,n5)
          & leq(X0,n5)
          & leq(n0,X1)
          & leq(n0,X0) )
       => ( ( n4 = X1
            & n2 = X1
            & n2 = X0
            & n0 = X0
            & ~ ( n5 = X1
                & n5 = X0 )
            & ~ ( n5 = X0
                & n4 = X1 )
            & ~ ( n5 = X1
                & n4 = X0 )
            & ~ ( n4 = X1
                & n4 = X0 )
            & ~ ( n5 = X0
                & n3 = X1 )
            & ~ ( n4 = X0
                & n3 = X1 )
            & ~ ( n5 = X1
                & n3 = X0 )
            & ~ ( n4 = X1
                & n3 = X0 )
            & ~ ( n3 = X1
                & n3 = X0 )
            & ~ ( n5 = X0
                & n2 = X1 )
            & ~ ( n4 = X0
                & n2 = X1 )
            & ~ ( n3 = X0
                & n2 = X1 )
            & ~ ( n5 = X1
                & n2 = X0 )
            & ~ ( n4 = X1
                & n2 = X0 )
            & ~ ( n3 = X1
                & n2 = X0 )
            & ~ ( n2 = X1
                & n2 = X0 )
            & ~ ( n5 = X0
                & n1 = X1 )
            & ~ ( n4 = X0
                & n1 = X1 )
            & ~ ( n3 = X0
                & n1 = X1 )
            & ~ ( n2 = X0
                & n1 = X1 )
            & ~ ( n5 = X1
                & n1 = X0 )
            & ~ ( n4 = X1
                & n1 = X0 )
            & ~ ( n3 = X1
                & n1 = X0 )
            & ~ ( n2 = X1
                & n1 = X0 )
            & ~ ( n1 = X1
                & n1 = X0 )
            & ~ ( n5 = X0
                & n0 = X1 )
            & ~ ( n4 = X0
                & n0 = X1 )
            & ~ ( n3 = X0
                & n0 = X1 )
            & ~ ( n2 = X0
                & n0 = X1 )
            & ~ ( n1 = X0
                & n0 = X1 )
            & ~ ( n5 = X1
                & n0 = X0 )
            & ~ ( n4 = X1
                & n0 = X0 )
            & ~ ( n3 = X1
                & n0 = X0 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ! [X13,X17] :
        ( ( leq(X17,n5)
          & leq(X13,n5)
          & leq(n0,X17)
          & leq(n0,X13) )
       => ( ( n4 = X17
            & n2 = X17
            & n2 = X13
            & n0 = X13
            & ~ ( n5 = X17
                & n5 = X13 )
            & ~ ( n5 = X13
                & n4 = X17 )
            & ~ ( n5 = X17
                & n4 = X13 )
            & ~ ( n4 = X17
                & n4 = X13 )
            & ~ ( n5 = X13
                & n3 = X17 )
            & ~ ( n4 = X13
                & n3 = X17 )
            & ~ ( n5 = X17
                & n3 = X13 )
            & ~ ( n4 = X17
                & n3 = X13 )
            & ~ ( n3 = X17
                & n3 = X13 )
            & ~ ( n5 = X13
                & n2 = X17 )
            & ~ ( n4 = X13
                & n2 = X17 )
            & ~ ( n3 = X13
                & n2 = X17 )
            & ~ ( n5 = X17
                & n2 = X13 )
            & ~ ( n4 = X17
                & n2 = X13 )
            & ~ ( n3 = X17
                & n2 = X13 )
            & ~ ( n2 = X17
                & n2 = X13 )
            & ~ ( n5 = X13
                & n1 = X17 )
            & ~ ( n4 = X13
                & n1 = X17 )
            & ~ ( n3 = X13
                & n1 = X17 )
            & ~ ( n2 = X13
                & n1 = X17 )
            & ~ ( n5 = X17
                & n1 = X13 )
            & ~ ( n4 = X17
                & n1 = X13 )
            & ~ ( n3 = X17
                & n1 = X13 )
            & ~ ( n2 = X17
                & n1 = X13 )
            & ~ ( n1 = X17
                & n1 = X13 )
            & ~ ( n5 = X13
                & n0 = X17 )
            & ~ ( n4 = X13
                & n0 = X17 )
            & ~ ( n3 = X13
                & n0 = X17 )
            & ~ ( n2 = X13
                & n0 = X17 )
            & ~ ( n1 = X13
                & n0 = X17 )
            & ~ ( n5 = X17
                & n0 = X13 )
            & ~ ( n4 = X17
                & n0 = X13 )
            & ~ ( n3 = X17
                & n0 = X13 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ! [X13,X17] :
      ( ( leq(X17,n5)
        & leq(X13,n5)
        & leq(n0,X17)
        & leq(n0,X13) )
     => ( ( n4 = X17
          & n2 = X17
          & n2 = X13
          & n0 = X13
          & ~ ( n5 = X17
              & n5 = X13 )
          & ~ ( n5 = X13
              & n4 = X17 )
          & ~ ( n5 = X17
              & n4 = X13 )
          & ~ ( n4 = X17
              & n4 = X13 )
          & ~ ( n5 = X13
              & n3 = X17 )
          & ~ ( n4 = X13
              & n3 = X17 )
          & ~ ( n5 = X17
              & n3 = X13 )
          & ~ ( n4 = X17
              & n3 = X13 )
          & ~ ( n3 = X17
              & n3 = X13 )
          & ~ ( n5 = X13
              & n2 = X17 )
          & ~ ( n4 = X13
              & n2 = X17 )
          & ~ ( n3 = X13
              & n2 = X17 )
          & ~ ( n5 = X17
              & n2 = X13 )
          & ~ ( n4 = X17
              & n2 = X13 )
          & ~ ( n3 = X17
              & n2 = X13 )
          & ~ ( n2 = X17
              & n2 = X13 )
          & ~ ( n5 = X13
              & n1 = X17 )
          & ~ ( n4 = X13
              & n1 = X17 )
          & ~ ( n3 = X13
              & n1 = X17 )
          & ~ ( n2 = X13
              & n1 = X17 )
          & ~ ( n5 = X17
              & n1 = X13 )
          & ~ ( n4 = X17
              & n1 = X13 )
          & ~ ( n3 = X17
              & n1 = X13 )
          & ~ ( n2 = X17
              & n1 = X13 )
          & ~ ( n1 = X17
              & n1 = X13 )
          & ~ ( n5 = X13
              & n0 = X17 )
          & ~ ( n4 = X13
              & n0 = X17 )
          & ~ ( n3 = X13
              & n0 = X17 )
          & ~ ( n2 = X13
              & n0 = X17 )
          & ~ ( n1 = X13
              & n0 = X17 )
          & ~ ( n5 = X17
              & n0 = X13 )
          & ~ ( n4 = X17
              & n0 = X13 )
          & ~ ( n3 = X17
              & n0 = X13 ) )
       => n0 = times(divide(n1,n400),a_select2(sigma,n2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0161) ).

fof(f296,plain,
    n4 = sK14,
    inference(cnf_transformation,[],[f193]) ).

fof(f261,plain,
    ( n4 != sK14
    | n0 != sK13 ),
    inference(cnf_transformation,[],[f193]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV215+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 08:39:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (25637)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38  % (25640)WARNING: value z3 for option sas not known
% 0.20/0.38  % (25641)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38  % (25642)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)
% 0.20/0.38  % (25639)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38  % (25643)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)
% 0.20/0.38  % (25644)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)
% 0.20/0.38  % (25640)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)
% 0.20/0.38  % (25638)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38  % (25642)First to succeed.
% 0.20/0.38  % (25642)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25637"
% 0.20/0.39  % (25642)Refutation found. Thanks to Tanya!
% 0.20/0.39  % SZS status Theorem for theBenchmark
% 0.20/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39  % (25642)------------------------------
% 0.20/0.39  % (25642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39  % (25642)Termination reason: Refutation
% 0.20/0.39  
% 0.20/0.39  % (25642)Memory used [KB]: 1017
% 0.20/0.39  % (25642)Time elapsed: 0.008 s
% 0.20/0.39  % (25642)Instructions burned: 12 (million)
% 0.20/0.39  % (25637)Success in time 0.017 s
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