TSTP Solution File: SWV065+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV065+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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  : 600s
% DateTime : Wed Jul 20 18:15:03 EDT 2022

% Result   : Theorem 0.22s 1.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   42 (  13   ~;   9   |;  18   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0006,conjecture,
    ( ( leq(n0,pv10)
      & leq(n0,pv53)
      & leq(pv10,minus(n135300,n1))
      & leq(pv53,minus(n5,n1)) )
   => ( leq(n0,n0)
      & leq(n0,pv10)
      & leq(n0,pv53)
      & leq(pv10,minus(n135300,n1))
      & leq(pv53,minus(n5,n1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cl5_nebula_array_0006) ).

fof(reflexivity_leq,axiom,
    ! [X1] : leq(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).

fof(c_0_2,negated_conjecture,
    ~ ( ( leq(n0,pv10)
        & leq(n0,pv53)
        & leq(pv10,minus(n135300,n1))
        & leq(pv53,minus(n5,n1)) )
     => ( leq(n0,n0)
        & leq(n0,pv10)
        & leq(n0,pv53)
        & leq(pv10,minus(n135300,n1))
        & leq(pv53,minus(n5,n1)) ) ),
    inference(assume_negation,[status(cth)],[cl5_nebula_array_0006]) ).

fof(c_0_3,negated_conjecture,
    ( leq(n0,pv10)
    & leq(n0,pv53)
    & leq(pv10,minus(n135300,n1))
    & leq(pv53,minus(n5,n1))
    & ( ~ leq(n0,n0)
      | ~ leq(n0,pv10)
      | ~ leq(n0,pv53)
      | ~ leq(pv10,minus(n135300,n1))
      | ~ leq(pv53,minus(n5,n1)) ) ),
    inference(fof_nnf,[status(thm)],[c_0_2]) ).

fof(c_0_4,plain,
    ! [X2] : leq(X2,X2),
    inference(variable_rename,[status(thm)],[reflexivity_leq]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ leq(pv53,minus(n5,n1))
    | ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv53)
    | ~ leq(n0,pv10)
    | ~ leq(n0,n0) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    leq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    leq(n0,pv10),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    leq(n0,pv53),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ leq(pv10,minus(n135300,n1))
    | ~ leq(pv53,minus(n5,n1)) ),
    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])]) ).

cnf(c_0_10,negated_conjecture,
    leq(pv10,minus(n135300,n1)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    leq(pv53,minus(n5,n1)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV065+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 15 09:39:39 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.22/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40  # Preprocessing time       : 0.017 s
% 0.22/1.40  
% 0.22/1.40  # Proof found!
% 0.22/1.40  # SZS status Theorem
% 0.22/1.40  # SZS output start CNFRefutation
% See solution above
% 0.22/1.40  # Proof object total steps             : 13
% 0.22/1.40  # Proof object clause steps            : 8
% 0.22/1.40  # Proof object formula steps           : 5
% 0.22/1.40  # Proof object conjectures             : 10
% 0.22/1.40  # Proof object clause conjectures      : 7
% 0.22/1.40  # Proof object formula conjectures     : 3
% 0.22/1.40  # Proof object initial clauses used    : 6
% 0.22/1.40  # Proof object initial formulas used   : 2
% 0.22/1.40  # Proof object generating inferences   : 0
% 0.22/1.40  # Proof object simplifying inferences  : 8
% 0.22/1.40  # Training examples: 0 positive, 0 negative
% 0.22/1.40  # Parsed axioms                        : 92
% 0.22/1.40  # Removed by relevancy pruning/SinE    : 24
% 0.22/1.40  # Initial clauses                      : 75
% 0.22/1.40  # Removed in clause preprocessing      : 2
% 0.22/1.40  # Initial clauses in saturation        : 73
% 0.22/1.40  # Processed clauses                    : 74
% 0.22/1.40  # ...of these trivial                  : 0
% 0.22/1.40  # ...subsumed                          : 0
% 0.22/1.40  # ...remaining for further processing  : 73
% 0.22/1.40  # Other redundant clauses eliminated   : 0
% 0.22/1.40  # Clauses deleted for lack of memory   : 0
% 0.22/1.40  # Backward-subsumed                    : 0
% 0.22/1.40  # Backward-rewritten                   : 2
% 0.22/1.40  # Generated clauses                    : 189
% 0.22/1.40  # ...of the previous two non-trivial   : 163
% 0.22/1.40  # Contextual simplify-reflections      : 0
% 0.22/1.40  # Paramodulations                      : 187
% 0.22/1.40  # Factorizations                       : 2
% 0.22/1.40  # Equation resolutions                 : 0
% 0.22/1.40  # Current number of processed clauses  : 71
% 0.22/1.40  #    Positive orientable unit clauses  : 46
% 0.22/1.40  #    Positive unorientable unit clauses: 4
% 0.22/1.40  #    Negative unit clauses             : 1
% 0.22/1.40  #    Non-unit-clauses                  : 20
% 0.22/1.40  # Current number of unprocessed clauses: 158
% 0.22/1.40  # ...number of literals in the above   : 340
% 0.22/1.40  # Current number of archived formulas  : 0
% 0.22/1.40  # Current number of archived clauses   : 4
% 0.22/1.40  # Clause-clause subsumption calls (NU) : 29
% 0.22/1.40  # Rec. Clause-clause subsumption calls : 3
% 0.22/1.40  # Non-unit clause-clause subsumptions  : 0
% 0.22/1.40  # Unit Clause-clause subsumption calls : 2
% 0.22/1.40  # Rewrite failures with RHS unbound    : 0
% 0.22/1.40  # BW rewrite match attempts            : 11
% 0.22/1.40  # BW rewrite match successes           : 11
% 0.22/1.40  # Condensation attempts                : 0
% 0.22/1.40  # Condensation successes               : 0
% 0.22/1.40  # Termbank termtop insertions          : 5480
% 0.22/1.40  
% 0.22/1.40  # -------------------------------------------------
% 0.22/1.40  # User time                : 0.019 s
% 0.22/1.40  # System time              : 0.003 s
% 0.22/1.40  # Total time               : 0.022 s
% 0.22/1.40  # Maximum resident set size: 3180 pages
%------------------------------------------------------------------------------