%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV402+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 21:17:06 EDT 2022

% Result   : Theorem 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

fof(c49,axiom,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    inference(fof_simplification,status(thm),[ax22]) ).

fof(c50,axiom,
    ! [X38,X39] : ~ pair_in_list(create_slb,X38,X39),
    inference(variable_rename,status(thm),[c49]) ).

cnf(c51,axiom,
    ~ pair_in_list(create_slb,X71,X70),
    inference(split_conjunct,status(thm),[c50]) ).

fof(l38_co,conjecture,
    ! [U,V,W,X] :
      ( ( pair_in_list(create_slb,V,W)
        & strictly_less_than(W,X) )
     => pair_in_list(update_slb(create_slb,X),V,X) ),
    input ).

fof(c10,negated_conjecture,
    ~ ! [U,V,W,X] :
        ( ( pair_in_list(create_slb,V,W)
          & strictly_less_than(W,X) )
       => pair_in_list(update_slb(create_slb,X),V,X) ),
    inference(assume_negation,status(cth),[l38_co]) ).

fof(c11,negated_conjecture,
    ~ ! [V,W,X] :
        ( ( pair_in_list(create_slb,V,W)
          & strictly_less_than(W,X) )
       => pair_in_list(update_slb(create_slb,X),V,X) ),
    inference(fof_simplification,status(thm),[c10]) ).

fof(c12,negated_conjecture,
    ? [V,W,X] :
      ( pair_in_list(create_slb,V,W)
      & strictly_less_than(W,X)
      & ~ pair_in_list(update_slb(create_slb,X),V,X) ),
    inference(fof_nnf,status(thm),[c11]) ).

fof(c13,negated_conjecture,
    ? [X2,X3,X4] :
      ( pair_in_list(create_slb,X2,X3)
      & strictly_less_than(X3,X4)
      & ~ pair_in_list(update_slb(create_slb,X4),X2,X4) ),
    inference(variable_rename,status(thm),[c12]) ).

fof(c14,negated_conjecture,
    ( pair_in_list(create_slb,skolem0001,skolem0002)
    & strictly_less_than(skolem0002,skolem0003)
    & ~ pair_in_list(update_slb(create_slb,skolem0003),skolem0001,skolem0003) ),
    inference(skolemize,status(esa),[c13]) ).

cnf(c15,negated_conjecture,
    pair_in_list(create_slb,skolem0001,skolem0002),
    inference(split_conjunct,status(thm),[c14]) ).

cnf(c86,plain,
    $false,
    inference(resolution,status(thm),[c15,c51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV402+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 00:51:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.53  # Version:  1.3
% 0.18/0.53  # SZS status Theorem
% 0.18/0.53  # SZS output start CNFRefutation
% See solution above
% 0.18/0.53  
% 0.18/0.53  # Initial clauses    : 41
% 0.18/0.53  # Processed clauses  : 9
% 0.18/0.53  # Factors computed   : 0
% 0.18/0.53  # Resolvents computed: 2
% 0.18/0.53  # Tautologies deleted: 0
% 0.18/0.53  # Forward subsumed   : 1
% 0.18/0.53  # Backward subsumed  : 0
% 0.18/0.53  # -------- CPU Time ---------
% 0.18/0.53  # User time          : 0.187 s
% 0.18/0.53  # System time        : 0.011 s
% 0.18/0.53  # Total time         : 0.198 s
%------------------------------------------------------------------------------