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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV395+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 : Thu May  9 17:44:54 EDT 2024

% Result   : Theorem 0.48s 0.66s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   23 (   8   ~;   0   |;  13   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   24 (   2 sgn  14   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax22,axiom,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax22) ).

fof(c149,plain,
    ! [U,V] : ~ pair_in_list(create_slb,U,V),
    inference(fof_simplification,[status(thm)],[ax22]) ).

fof(c150,plain,
    ! [X109,X110] : ~ pair_in_list(create_slb,X109,X110),
    inference(variable_rename,[status(thm)],[c149]) ).

cnf(c151,plain,
    ~ pair_in_list(create_slb,X142,X143),
    inference(split_conjunct,[status(thm)],[c150]) ).

fof(l31_co,conjecture,
    ! [U,V,W,X] :
      ( ( pair_in_list(create_slb,W,X)
        & strictly_less_than(W,X)
        & ok(remove_cpq(triple(U,create_slb,V),W)) )
     => pair_in_list(remove_slb(create_slb,W),W,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l31_co) ).

fof(c24,negated_conjecture,
    ~ ! [U,V,W,X] :
        ( ( pair_in_list(create_slb,W,X)
          & strictly_less_than(W,X)
          & ok(remove_cpq(triple(U,create_slb,V),W)) )
       => pair_in_list(remove_slb(create_slb,W),W,X) ),
    inference(assume_negation,[status(cth)],[l31_co]) ).

fof(c25,negated_conjecture,
    ? [U,V,W,X] :
      ( pair_in_list(create_slb,W,X)
      & strictly_less_than(W,X)
      & ok(remove_cpq(triple(U,create_slb,V),W))
      & ~ pair_in_list(remove_slb(create_slb,W),W,X) ),
    inference(fof_nnf,[status(thm)],[c24]) ).

fof(c26,negated_conjecture,
    ? [X2,X3,X4,X5] :
      ( pair_in_list(create_slb,X4,X5)
      & strictly_less_than(X4,X5)
      & ok(remove_cpq(triple(X2,create_slb,X3),X4))
      & ~ pair_in_list(remove_slb(create_slb,X4),X4,X5) ),
    inference(variable_rename,[status(thm)],[c25]) ).

fof(c27,negated_conjecture,
    ( pair_in_list(create_slb,skolem0003,skolem0004)
    & strictly_less_than(skolem0003,skolem0004)
    & ok(remove_cpq(triple(skolem0001,create_slb,skolem0002),skolem0003))
    & ~ pair_in_list(remove_slb(create_slb,skolem0003),skolem0003,skolem0004) ),
    inference(skolemize,[status(esa)],[c26]) ).

cnf(c28,negated_conjecture,
    pair_in_list(create_slb,skolem0003,skolem0004),
    inference(split_conjunct,[status(thm)],[c27]) ).

cnf(c186,plain,
    $false,
    inference(resolution,[status(thm)],[c28,c151]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV395+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n006.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 : Thu May  9 05:10:38 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.48/0.66  % Version:  1.5
% 0.48/0.66  % SZS status Theorem
% 0.48/0.66  % SZS output start CNFRefutation
% See solution above
% 0.48/0.66  
% 0.48/0.66  % Initial clauses    : 81
% 0.48/0.66  % Processed clauses  : 11
% 0.48/0.66  % Factors computed   : 1
% 0.48/0.66  % Resolvents computed: 3
% 0.48/0.66  % Tautologies deleted: 0
% 0.48/0.66  % Forward subsumed   : 1
% 0.48/0.66  % Backward subsumed  : 0
% 0.48/0.66  % -------- CPU Time ---------
% 0.48/0.66  % User time          : 0.285 s
% 0.48/0.66  % System time        : 0.021 s
% 0.48/0.66  % Total time         : 0.306 s
%------------------------------------------------------------------------------