%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV056+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 : Tue Apr 30 20:45:52 EDT 2024

% Result   : Theorem 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  16 unt;   0 def)
%            Number of atoms       :   63 (  18 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   46 (  17   ~;  16   |;   8   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [Body] : sum(n0,tptp_minus_1,Body) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [X] : minus(X,n1) = pred(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [X] : pred(succ(X)) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,conjecture,
    ( ( leq(n0,pv25)
      & leq(pv25,minus(n5,n1)) )
   => ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
      & leq(n0,pv25)
      & leq(pv25,minus(n5,n1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,pv25)
        & leq(pv25,minus(n5,n1)) )
     => ( n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
        & leq(n0,pv25)
        & leq(pv25,minus(n5,n1)) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f197,plain,
    ! [X0] : sum(n0,tptp_minus_1,X0) = n0,
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f199,plain,
    succ(tptp_minus_1) = n0,
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f210,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f211,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f244,plain,
    ( leq(n0,pv25)
    & leq(pv25,minus(n5,n1))
    & ( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
      | ~ leq(n0,pv25)
      | ~ leq(pv25,minus(n5,n1)) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f54]) ).

fof(f245,plain,
    leq(n0,pv25),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f246,plain,
    leq(pv25,minus(n5,n1)),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f247,plain,
    ( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
    | ~ leq(n0,pv25)
    | ~ leq(pv25,minus(n5,n1)) ),
    inference(cnf_transformation,[status(esa)],[f244]) ).

fof(f313,plain,
    ( spl0_0
  <=> n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ),
    introduced(split_symbol_definition) ).

fof(f315,plain,
    ( n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f313]) ).

fof(f316,plain,
    ( spl0_1
  <=> leq(n0,pv25) ),
    introduced(split_symbol_definition) ).

fof(f318,plain,
    ( ~ leq(n0,pv25)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f316]) ).

fof(f319,plain,
    ( spl0_2
  <=> leq(pv25,minus(n5,n1)) ),
    introduced(split_symbol_definition) ).

fof(f321,plain,
    ( ~ leq(pv25,minus(n5,n1))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f319]) ).

fof(f322,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f247,f313,f316,f319]) ).

fof(f327,plain,
    leq(pv25,pred(n5)),
    inference(backward_demodulation,[status(thm)],[f210,f246]) ).

fof(f389,plain,
    pred(n0) = tptp_minus_1,
    inference(paramodulation,[status(thm)],[f199,f211]) ).

fof(f408,plain,
    ( ~ leq(pv25,pred(n5))
    | spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f210,f321]) ).

fof(f409,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f408,f327]) ).

fof(f410,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f409]) ).

fof(f411,plain,
    ( n0 != sum(n0,pred(n0),a_select3(q,pv77,pv25))
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f210,f315]) ).

fof(f554,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f318,f245]) ).

fof(f555,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f554]) ).

fof(f698,plain,
    ( n0 != sum(n0,tptp_minus_1,a_select3(q,pv77,pv25))
    | spl0_0 ),
    inference(backward_demodulation,[status(thm)],[f389,f411]) ).

fof(f699,plain,
    ( n0 != n0
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f197,f698]) ).

fof(f700,plain,
    ( $false
    | spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f699]) ).

fof(f701,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f700]) ).

fof(f702,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f322,f410,f555,f701]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV056+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:36:06 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.028180 seconds
% 0.13/0.38  % CPU time: 0.065602 seconds
% 0.13/0.38  % Total memory used: 16.537 MB
% 0.13/0.38  % Net memory used: 16.470 MB
%------------------------------------------------------------------------------