%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 17:44:53 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   4 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   39 (  22   ~;   6   |;   6   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   30 (   0 sgn  21   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l24_co,conjecture,
    ! [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
     => ( ~ check_cpq(findmin_cpq_eff(triple(U,V,W)))
        | ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l24_co) ).

fof(c24,negated_conjecture,
    ~ ! [U,V,W] :
        ( ~ check_cpq(triple(U,V,W))
       => ( ~ check_cpq(findmin_cpq_eff(triple(U,V,W)))
          | ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ),
    inference(assume_negation,[status(cth)],[l24_co]) ).

fof(c25,negated_conjecture,
    ~ ! [U,V,W] :
        ( ~ check_cpq(triple(U,V,W))
       => ( ~ check_cpq(findmin_cpq_eff(triple(U,V,W)))
          | ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ),
    inference(fof_simplification,[status(thm)],[c24]) ).

fof(c26,negated_conjecture,
    ? [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
      & check_cpq(findmin_cpq_eff(triple(U,V,W)))
      & ok(findmin_cpq_eff(triple(U,V,W))) ),
    inference(fof_nnf,[status(thm)],[c25]) ).

fof(c27,negated_conjecture,
    ? [X2,X3,X4] :
      ( ~ check_cpq(triple(X2,X3,X4))
      & check_cpq(findmin_cpq_eff(triple(X2,X3,X4)))
      & ok(findmin_cpq_eff(triple(X2,X3,X4))) ),
    inference(variable_rename,[status(thm)],[c26]) ).

fof(c28,negated_conjecture,
    ( ~ check_cpq(triple(skolem0001,skolem0002,skolem0003))
    & check_cpq(findmin_cpq_eff(triple(skolem0001,skolem0002,skolem0003)))
    & ok(findmin_cpq_eff(triple(skolem0001,skolem0002,skolem0003))) ),
    inference(skolemize,[status(esa)],[c27]) ).

cnf(c29,negated_conjecture,
    ~ check_cpq(triple(skolem0001,skolem0002,skolem0003)),
    inference(split_conjunct,[status(thm)],[c28]) ).

cnf(c30,negated_conjecture,
    check_cpq(findmin_cpq_eff(triple(skolem0001,skolem0002,skolem0003))),
    inference(split_conjunct,[status(thm)],[c28]) ).

fof(l24_l34,plain,
    ! [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
     => ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l24_l34) ).

fof(c32,plain,
    ! [U,V,W] :
      ( ~ check_cpq(triple(U,V,W))
     => ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ),
    inference(fof_simplification,[status(thm)],[l24_l34]) ).

fof(c33,plain,
    ! [U,V,W] :
      ( check_cpq(triple(U,V,W))
      | ~ check_cpq(findmin_cpq_eff(triple(U,V,W))) ),
    inference(fof_nnf,[status(thm)],[c32]) ).

fof(c34,plain,
    ! [X5,X6,X7] :
      ( check_cpq(triple(X5,X6,X7))
      | ~ check_cpq(findmin_cpq_eff(triple(X5,X6,X7))) ),
    inference(variable_rename,[status(thm)],[c33]) ).

cnf(c35,plain,
    ( check_cpq(triple(X409,X410,X408))
    | ~ check_cpq(findmin_cpq_eff(triple(X409,X410,X408))) ),
    inference(split_conjunct,[status(thm)],[c34]) ).

cnf(c626,plain,
    check_cpq(triple(skolem0001,skolem0002,skolem0003)),
    inference(resolution,[status(thm)],[c35,c30]) ).

cnf(c627,plain,
    $false,
    inference(resolution,[status(thm)],[c626,c29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV388+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  9 05:16:08 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.58/0.76  % Version:  1.5
% 0.58/0.76  % SZS status Theorem
% 0.58/0.76  % SZS output start CNFRefutation
% See solution above
% 0.58/0.76  
% 0.58/0.76  % Initial clauses    : 81
% 0.58/0.76  % Processed clauses  : 123
% 0.58/0.76  % Factors computed   : 13
% 0.58/0.76  % Resolvents computed: 426
% 0.58/0.76  % Tautologies deleted: 6
% 0.58/0.76  % Forward subsumed   : 19
% 0.58/0.76  % Backward subsumed  : 1
% 0.58/0.76  % -------- CPU Time ---------
% 0.58/0.76  % User time          : 0.385 s
% 0.58/0.76  % System time        : 0.019 s
% 0.58/0.76  % Total time         : 0.404 s
%------------------------------------------------------------------------------