TSTP Solution File: SWV077+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n003.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 18:15:06 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   51 (   8 equ)
%            Maximal formula atoms :   20 (   5 avg)
%            Number of connectives :   68 (  27   ~;  20   |;  15   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 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(cl5_nebula_array_0018,conjecture,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) )
   => ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1))
      & ( n0 != pv40
       => ( leq(n0,pv31)
          & leq(pv31,minus(n5,n1)) ) )
      & ( n0 = pv40
       => true ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cl5_nebula_array_0018) ).

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

fof(c_0_2,negated_conjecture,
    ~ ( ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1)) )
     => ( leq(n0,pv31)
        & leq(pv31,minus(n5,n1))
        & ( n0 != pv40
         => ( leq(n0,pv31)
            & leq(pv31,minus(n5,n1)) ) )
        & ( n0 = pv40
         => true ) ) ),
    inference(assume_negation,[status(cth)],[cl5_nebula_array_0018]) ).

fof(c_0_3,negated_conjecture,
    ( leq(n0,pv31)
    & leq(pv31,minus(n5,n1))
    & ( n0 = pv40
      | n0 != pv40
      | ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1)) )
    & ( ~ true
      | n0 != pv40
      | ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1)) )
    & ( n0 = pv40
      | ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1)) )
    & ( ~ true
      | ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv31)
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv31)
    | ~ true ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ true
    | ~ leq(n0,pv31)
    | ~ leq(pv31,minus(n5,n1)) ),
    inference(cn,[status(thm)],[c_0_4]) ).

cnf(c_0_6,plain,
    true,
    inference(split_conjunct,[status(thm)],[ttrue]) ).

cnf(c_0_7,negated_conjecture,
    leq(n0,pv31),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    leq(pv31,minus(n5,n1)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV077+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 15:40:11 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43  # Preprocessing time       : 0.018 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 10
% 0.25/1.43  # Proof object clause steps            : 6
% 0.25/1.43  # Proof object formula steps           : 4
% 0.25/1.43  # Proof object conjectures             : 8
% 0.25/1.43  # Proof object clause conjectures      : 5
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 4
% 0.25/1.43  # Proof object initial formulas used   : 2
% 0.25/1.43  # Proof object generating inferences   : 0
% 0.25/1.43  # Proof object simplifying inferences  : 5
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 85
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 23
% 0.25/1.43  # Initial clauses                      : 70
% 0.25/1.43  # Removed in clause preprocessing      : 3
% 0.25/1.43  # Initial clauses in saturation        : 67
% 0.25/1.43  # Processed clauses                    : 5
% 0.25/1.43  # ...of these trivial                  : 0
% 0.25/1.43  # ...subsumed                          : 0
% 0.25/1.43  # ...remaining for further processing  : 4
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 0
% 0.25/1.43  # Generated clauses                    : 0
% 0.25/1.43  # ...of the previous two non-trivial   : 0
% 0.25/1.43  # Contextual simplify-reflections      : 0
% 0.25/1.43  # Paramodulations                      : 0
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 4
% 0.25/1.43  #    Positive orientable unit clauses  : 4
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 0
% 0.25/1.43  #    Non-unit-clauses                  : 0
% 0.25/1.43  # Current number of unprocessed clauses: 62
% 0.25/1.43  # ...number of literals in the above   : 112
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 2
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 0
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 0
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.43  # Unit Clause-clause subsumption calls : 0
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 0
% 0.25/1.43  # BW rewrite match successes           : 0
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 3426
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.015 s
% 0.25/1.43  # System time              : 0.003 s
% 0.25/1.43  # Total time               : 0.018 s
% 0.25/1.43  # Maximum resident set size: 2908 pages
%------------------------------------------------------------------------------