%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV400+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.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  : 600s
% DateTime : Wed Jul 20 20:31:29 EDT 2022

% Result   : Theorem 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (   8   ~;   0   |;   7   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (   5 sgn  18   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax22,axiom,
    ! [U,V] : ~ pair_in_list(create_slb,U,V) ).

fof(l36_co,conjecture,
    ! [U,V,W,X] :
      ( ( pair_in_list(create_slb,V,W)
        & less_than(X,W) )
     => pair_in_list(update_slb(create_slb,X),V,W) ) ).

fof(subgoal_0,plain,
    ! [U,V,W,X] :
      ( ( pair_in_list(create_slb,V,W)
        & less_than(X,W) )
     => pair_in_list(update_slb(create_slb,X),V,W) ),
    inference(strip,[],[l36_co]) ).

fof(negate_0_0,plain,
    ~ ! [U,V,W,X] :
        ( ( pair_in_list(create_slb,V,W)
          & less_than(X,W) )
       => pair_in_list(update_slb(create_slb,X),V,W) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [V,W,X] :
      ( ~ pair_in_list(update_slb(create_slb,X),V,W)
      & less_than(X,W)
      & pair_in_list(create_slb,V,W) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ~ pair_in_list(update_slb(create_slb,skolemFOFtoCNF_X),skolemFOFtoCNF_V,skolemFOFtoCNF_W)
    & less_than(skolemFOFtoCNF_X,skolemFOFtoCNF_W)
    & pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    inference(canonicalize,[],[ax22]) ).

fof(normalize_0_4,plain,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    inference(specialize,[],[normalize_0_3]) ).

cnf(refute_0_0,plain,
    pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ~ pair_in_list(create_slb,U,V),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ~ pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W),
    inference(subst,[],[refute_0_1:[bind(U,$fot(skolemFOFtoCNF_V)),bind(V,$fot(skolemFOFtoCNF_W))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( pair_in_list(create_slb,skolemFOFtoCNF_V,skolemFOFtoCNF_W) )],[refute_0_0,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV400+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 10:45:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36  
%------------------------------------------------------------------------------