TSTP Solution File: SWV215+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV215+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 : n023.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 18:44:31 EDT 2022

% Result   : Theorem 1.57s 0.57s
% Output   : Refutation 1.57s
% 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 :   47 (  27 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(f290,plain,
    $false,
    inference(trivial_inequality_removal,[],[f244]) ).

fof(f244,plain,
    ( sK1 != sK1
    | sK0 != sK0 ),
    inference(definition_unfolding,[],[f199,f174,f163]) ).

fof(f163,plain,
    n4 = sK0,
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( ( n0 != sK1
      | n4 != sK0 )
    & ( n0 != sK0
      | n5 != sK1 )
    & ( n2 != sK1
      | n0 != sK0 )
    & n2 = sK1
    & leq(sK1,n5)
    & ( n2 != sK1
      | n4 != sK0 )
    & ( n3 != sK0
      | n5 != sK1 )
    & ( n4 != sK0
      | n1 != sK1 )
    & ( n1 != sK1
      | n5 != sK0 )
    & ( n1 != sK0
      | n2 != sK1 )
    & ( n4 != sK1
      | n2 != sK0 )
    & ( n3 != sK1
      | n2 != sK0 )
    & n0 != times(divide(n1,n400),a_select2(sigma,n2))
    & ( n4 != sK0
      | n5 != sK1 )
    & ( n2 != sK1
      | n3 != sK0 )
    & leq(n0,sK0)
    & ( n3 != sK1
      | n0 != sK0 )
    & ( n5 != sK0
      | n0 != sK1 )
    & ( n5 != sK0
      | n5 != sK1 )
    & ( n0 != sK0
      | n1 != sK1 )
    & ( n1 != sK0
      | n3 != sK1 )
    & ( n3 != sK1
      | n3 != sK0 )
    & ( n1 != sK0
      | n4 != sK1 )
    & ( n5 != sK0
      | n3 != sK1 )
    & leq(sK0,n5)
    & n0 = sK1
    & leq(n0,sK1)
    & ( n3 != sK0
      | n1 != sK1 )
    & n2 = sK0
    & ( n4 != sK0
      | n3 != sK1 )
    & ( n5 != sK1
      | n1 != sK0 )
    & ( n5 != sK0
      | n2 != sK1 )
    & ( n4 != sK1
      | n3 != sK0 )
    & ( n4 != sK1
      | n5 != sK0 )
    & ( n4 != sK1
      | n4 != sK0 )
    & ( n0 != sK0
      | n4 != sK1 )
    & n4 = sK0
    & ( n3 != sK0
      | n0 != sK1 )
    & ( n1 != sK1
      | n2 != sK0 )
    & ( n1 != sK1
      | n1 != sK0 )
    & ( n2 != sK0
      | n2 != sK1 )
    & ( n5 != sK1
      | n2 != sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f102,f125]) ).

fof(f125,plain,
    ( ? [X0,X1] :
        ( ( n0 != X1
          | n4 != X0 )
        & ( n0 != X0
          | n5 != X1 )
        & ( n2 != X1
          | n0 != X0 )
        & n2 = X1
        & leq(X1,n5)
        & ( n2 != X1
          | n4 != X0 )
        & ( n3 != X0
          | n5 != X1 )
        & ( n4 != X0
          | n1 != X1 )
        & ( n1 != X1
          | n5 != X0 )
        & ( n1 != X0
          | n2 != X1 )
        & ( n4 != X1
          | n2 != X0 )
        & ( n3 != X1
          | n2 != X0 )
        & n0 != times(divide(n1,n400),a_select2(sigma,n2))
        & ( n4 != X0
          | n5 != X1 )
        & ( n2 != X1
          | n3 != X0 )
        & leq(n0,X0)
        & ( n3 != X1
          | n0 != X0 )
        & ( n5 != X0
          | n0 != X1 )
        & ( n5 != X0
          | n5 != X1 )
        & ( n0 != X0
          | n1 != X1 )
        & ( n1 != X0
          | n3 != X1 )
        & ( n3 != X1
          | n3 != X0 )
        & ( n1 != X0
          | n4 != X1 )
        & ( n5 != X0
          | n3 != X1 )
        & leq(X0,n5)
        & n0 = X1
        & leq(n0,X1)
        & ( n3 != X0
          | n1 != X1 )
        & n2 = X0
        & ( n4 != X0
          | n3 != X1 )
        & ( n5 != X1
          | n1 != X0 )
        & ( n5 != X0
          | n2 != X1 )
        & ( n4 != X1
          | n3 != X0 )
        & ( n4 != X1
          | n5 != X0 )
        & ( n4 != X1
          | n4 != X0 )
        & ( n0 != X0
          | n4 != X1 )
        & n4 = X0
        & ( n3 != X0
          | n0 != X1 )
        & ( n1 != X1
          | n2 != X0 )
        & ( n1 != X1
          | n1 != X0 )
        & ( n2 != X0
          | n2 != X1 )
        & ( n5 != X1
          | n2 != X0 ) )
   => ( ( n0 != sK1
        | n4 != sK0 )
      & ( n0 != sK0
        | n5 != sK1 )
      & ( n2 != sK1
        | n0 != sK0 )
      & n2 = sK1
      & leq(sK1,n5)
      & ( n2 != sK1
        | n4 != sK0 )
      & ( n3 != sK0
        | n5 != sK1 )
      & ( n4 != sK0
        | n1 != sK1 )
      & ( n1 != sK1
        | n5 != sK0 )
      & ( n1 != sK0
        | n2 != sK1 )
      & ( n4 != sK1
        | n2 != sK0 )
      & ( n3 != sK1
        | n2 != sK0 )
      & n0 != times(divide(n1,n400),a_select2(sigma,n2))
      & ( n4 != sK0
        | n5 != sK1 )
      & ( n2 != sK1
        | n3 != sK0 )
      & leq(n0,sK0)
      & ( n3 != sK1
        | n0 != sK0 )
      & ( n5 != sK0
        | n0 != sK1 )
      & ( n5 != sK0
        | n5 != sK1 )
      & ( n0 != sK0
        | n1 != sK1 )
      & ( n1 != sK0
        | n3 != sK1 )
      & ( n3 != sK1
        | n3 != sK0 )
      & ( n1 != sK0
        | n4 != sK1 )
      & ( n5 != sK0
        | n3 != sK1 )
      & leq(sK0,n5)
      & n0 = sK1
      & leq(n0,sK1)
      & ( n3 != sK0
        | n1 != sK1 )
      & n2 = sK0
      & ( n4 != sK0
        | n3 != sK1 )
      & ( n5 != sK1
        | n1 != sK0 )
      & ( n5 != sK0
        | n2 != sK1 )
      & ( n4 != sK1
        | n3 != sK0 )
      & ( n4 != sK1
        | n5 != sK0 )
      & ( n4 != sK1
        | n4 != sK0 )
      & ( n0 != sK0
        | n4 != sK1 )
      & n4 = sK0
      & ( n3 != sK0
        | n0 != sK1 )
      & ( n1 != sK1
        | n2 != sK0 )
      & ( n1 != sK1
        | n1 != sK0 )
      & ( n2 != sK0
        | n2 != sK1 )
      & ( n5 != sK1
        | n2 != sK0 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ? [X0,X1] :
      ( ( n0 != X1
        | n4 != X0 )
      & ( n0 != X0
        | n5 != X1 )
      & ( n2 != X1
        | n0 != X0 )
      & n2 = X1
      & leq(X1,n5)
      & ( n2 != X1
        | n4 != X0 )
      & ( n3 != X0
        | n5 != X1 )
      & ( n4 != X0
        | n1 != X1 )
      & ( n1 != X1
        | n5 != X0 )
      & ( n1 != X0
        | n2 != X1 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n3 != X1
        | n2 != X0 )
      & n0 != times(divide(n1,n400),a_select2(sigma,n2))
      & ( n4 != X0
        | n5 != X1 )
      & ( n2 != X1
        | n3 != X0 )
      & leq(n0,X0)
      & ( n3 != X1
        | n0 != X0 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n5 != X0
        | n5 != X1 )
      & ( n0 != X0
        | n1 != X1 )
      & ( n1 != X0
        | n3 != X1 )
      & ( n3 != X1
        | n3 != X0 )
      & ( n1 != X0
        | n4 != X1 )
      & ( n5 != X0
        | n3 != X1 )
      & leq(X0,n5)
      & n0 = X1
      & leq(n0,X1)
      & ( n3 != X0
        | n1 != X1 )
      & n2 = X0
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n1 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n4 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n5 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n0 != X0
        | n4 != X1 )
      & n4 = X0
      & ( n3 != X0
        | n0 != X1 )
      & ( n1 != X1
        | n2 != X0 )
      & ( n1 != X1
        | n1 != X0 )
      & ( n2 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 ) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ? [X1,X0] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n2))
      & ( n0 != X0
        | n1 != X1 )
      & ( n2 != X1
        | n0 != X0 )
      & ( n4 != X1
        | n4 != X0 )
      & ( n3 != X1
        | n0 != X0 )
      & ( n2 != X1
        | n4 != X0 )
      & ( n2 != X1
        | n3 != X0 )
      & ( n3 != X0
        | n5 != X1 )
      & ( n3 != X0
        | n0 != X1 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n1 != X0
        | n4 != X1 )
      & ( n4 != X1
        | n5 != X0 )
      & ( n0 != X0
        | n5 != X1 )
      & ( n0 != X0
        | n4 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n1 != X1
        | n5 != X0 )
      & ( n1 != X0
        | n3 != X1 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n3 != X0
        | n1 != X1 )
      & n2 = X0
      & ( n1 != X0
        | n2 != X1 )
      & ( n3 != X1
        | n3 != X0 )
      & n4 = X0
      & ( n2 != X0
        | n2 != X1 )
      & ( n4 != X0
        | n5 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n1 != X0 )
      & ( n1 != X1
        | n1 != X0 )
      & ( n5 != X0
        | n0 != X1 )
      & ( n4 != X0
        | n1 != X1 )
      & ( n5 != X0
        | n5 != X1 )
      & n0 = X1
      & ( n5 != X0
        | n3 != X1 )
      & n2 = X1
      & ( n3 != X1
        | n2 != X0 )
      & ( n1 != X1
        | n2 != X0 )
      & ( n0 != X1
        | n4 != X0 )
      & ( n4 != X1
        | n3 != X0 )
      & leq(X1,n5)
      & leq(n0,X0)
      & leq(n0,X1)
      & leq(X0,n5) ),
    inference(ennf_transformation,[],[f94]) ).

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

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

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

fof(f174,plain,
    n0 = sK1,
    inference(cnf_transformation,[],[f126]) ).

fof(f199,plain,
    ( n0 != sK1
    | n4 != sK0 ),
    inference(cnf_transformation,[],[f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV215+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 19:27:35 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 1.57/0.56  % (30130)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)
% 1.57/0.57  % (30130)First to succeed.
% 1.57/0.57  % (30129)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.57/0.57  % (30120)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.57/0.57  % (30130)Refutation found. Thanks to Tanya!
% 1.57/0.57  % SZS status Theorem for theBenchmark
% 1.57/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.57  % (30130)------------------------------
% 1.57/0.57  % (30130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (30130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (30130)Termination reason: Refutation
% 1.57/0.57  
% 1.57/0.57  % (30130)Memory used [KB]: 6140
% 1.57/0.57  % (30130)Time elapsed: 0.006 s
% 1.57/0.57  % (30130)Instructions burned: 4 (million)
% 1.57/0.57  % (30130)------------------------------
% 1.57/0.57  % (30130)------------------------------
% 1.57/0.57  % (30118)Success in time 0.22 s
%------------------------------------------------------------------------------