TSTP Solution File: SWV078+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV078+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 17:44:12 EDT 2024

% Result   : Theorem 0.85s 1.08s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   44 (  10 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   53 (  21   ~;  11   |;  15   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ttrue,axiom,
    true,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',ttrue) ).

cnf(c76,plain,
    true,
    inference(split_conjunct,[status(thm)],[ttrue]) ).

fof(cl5_nebula_array_0019,conjecture,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) )
   => ( ( n0 != pv70
       => ( leq(n0,pv31)
          & leq(pv31,minus(n5,n1)) ) )
      & ( n0 = pv70
       => true ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0019) ).

fof(c66,negated_conjecture,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1)) )
     => ( ( n0 != pv70
         => ( leq(n0,pv31)
            & leq(pv31,minus(n5,n1)) ) )
        & ( n0 = pv70
         => true ) ) ),
    inference(assume_negation,[status(cth)],[cl5_nebula_array_0019]) ).

fof(c67,negated_conjecture,
    ( leq(n0,pv31)
    & leq(pv31,minus(n5,n1))
    & ( ( n0 != pv70
        & ( ~ leq(n0,pv31)
          | ~ leq(pv31,minus(n5,n1)) ) )
      | ( n0 = pv70
        & ~ true ) ) ),
    inference(fof_nnf,[status(thm)],[c66]) ).

fof(c68,negated_conjecture,
    ( leq(n0,pv31)
    & leq(pv31,minus(n5,n1))
    & ( n0 != pv70
      | n0 = pv70 )
    & ( n0 != pv70
      | ~ true )
    & ( ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1))
      | n0 = pv70 )
    & ( ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1))
      | ~ true ) ),
    inference(distribute,[status(thm)],[c67]) ).

cnf(c69,negated_conjecture,
    leq(n0,pv31),
    inference(split_conjunct,[status(thm)],[c68]) ).

cnf(c70,negated_conjecture,
    leq(pv31,minus(n5,n1)),
    inference(split_conjunct,[status(thm)],[c68]) ).

cnf(c74,negated_conjecture,
    ( ~ leq(n0,pv31)
    | ~ leq(pv31,minus(n5,n1))
    | ~ true ),
    inference(split_conjunct,[status(thm)],[c68]) ).

cnf(c1089,plain,
    ( ~ leq(n0,pv31)
    | ~ true ),
    inference(resolution,[status(thm)],[c74,c70]) ).

cnf(c1250,plain,
    ~ true,
    inference(resolution,[status(thm)],[c1089,c69]) ).

cnf(c1251,plain,
    $false,
    inference(resolution,[status(thm)],[c1250,c76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SWV078+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  9 06:40:38 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.85/1.08  % Version:  1.5
% 0.85/1.08  % SZS status Theorem
% 0.85/1.08  % SZS output start CNFRefutation
% See solution above
% 0.85/1.08  
% 0.85/1.08  % Initial clauses    : 318
% 0.85/1.08  % Processed clauses  : 193
% 0.85/1.08  % Factors computed   : 24
% 0.85/1.08  % Resolvents computed: 767
% 0.85/1.08  % Tautologies deleted: 3
% 0.85/1.08  % Forward subsumed   : 60
% 0.85/1.08  % Backward subsumed  : 3
% 0.85/1.08  % -------- CPU Time ---------
% 0.85/1.08  % User time          : 0.710 s
% 0.85/1.08  % System time        : 0.018 s
% 0.85/1.08  % Total time         : 0.728 s
%------------------------------------------------------------------------------