TSTP Solution File: NUM838+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n015.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 : Mon Jul 18 09:37:00 EDT 2022

% Result   : Theorem 0.25s 1.44s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('holds(conseq(195), 305, 0)',conjecture,
    greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq(195), 305, 0)') ).

fof('ass(cond(proof(196), 0), 4)',axiom,
    ! [X1,X6,X7] :
      ( greater(X6,X7)
     => greater(vplus(X6,X1),vplus(X7,X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(proof(196), 0), 4)') ).

fof('holds(antec(195), 304, 0)',axiom,
    greater(vd301,vd302),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(antec(195), 304, 0)') ).

fof(c_0_3,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(assume_negation,[status(cth)],['holds(conseq(195), 305, 0)']) ).

fof(c_0_4,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_5,plain,
    ! [X8,X9,X10] :
      ( ~ greater(X9,X10)
      | greater(vplus(X9,X8),vplus(X10,X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(196), 0), 4)'])]) ).

cnf(c_0_6,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( greater(vplus(X1,X2),vplus(X3,X2))
    | ~ greater(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    greater(vd301,vd302),
    inference(split_conjunct,[status(thm)],['holds(antec(195), 304, 0)']) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14  % Command  : run_ET %s %d
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jul  7 08:48:49 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.25/1.44  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.44  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.44  # Preprocessing time       : 0.015 s
% 0.25/1.44  
% 0.25/1.44  # Proof found!
% 0.25/1.44  # SZS status Theorem
% 0.25/1.44  # SZS output start CNFRefutation
% See solution above
% 0.25/1.44  # Proof object total steps             : 10
% 0.25/1.44  # Proof object clause steps            : 4
% 0.25/1.44  # Proof object formula steps           : 6
% 0.25/1.44  # Proof object conjectures             : 5
% 0.25/1.44  # Proof object clause conjectures      : 2
% 0.25/1.44  # Proof object formula conjectures     : 3
% 0.25/1.44  # Proof object initial clauses used    : 3
% 0.25/1.44  # Proof object initial formulas used   : 3
% 0.25/1.44  # Proof object generating inferences   : 1
% 0.25/1.44  # Proof object simplifying inferences  : 2
% 0.25/1.44  # Training examples: 0 positive, 0 negative
% 0.25/1.44  # Parsed axioms                        : 44
% 0.25/1.44  # Removed by relevancy pruning/SinE    : 29
% 0.25/1.44  # Initial clauses                      : 16
% 0.25/1.44  # Removed in clause preprocessing      : 1
% 0.25/1.44  # Initial clauses in saturation        : 15
% 0.25/1.44  # Processed clauses                    : 13
% 0.25/1.44  # ...of these trivial                  : 0
% 0.25/1.44  # ...subsumed                          : 0
% 0.25/1.44  # ...remaining for further processing  : 13
% 0.25/1.44  # Other redundant clauses eliminated   : 4
% 0.25/1.44  # Clauses deleted for lack of memory   : 0
% 0.25/1.44  # Backward-subsumed                    : 0
% 0.25/1.44  # Backward-rewritten                   : 0
% 0.25/1.44  # Generated clauses                    : 42
% 0.25/1.44  # ...of the previous two non-trivial   : 27
% 0.25/1.44  # Contextual simplify-reflections      : 0
% 0.25/1.44  # Paramodulations                      : 36
% 0.25/1.44  # Factorizations                       : 0
% 0.25/1.44  # Equation resolutions                 : 6
% 0.25/1.44  # Current number of processed clauses  : 10
% 0.25/1.44  #    Positive orientable unit clauses  : 3
% 0.25/1.44  #    Positive unorientable unit clauses: 1
% 0.25/1.44  #    Negative unit clauses             : 2
% 0.25/1.44  #    Non-unit-clauses                  : 4
% 0.25/1.44  # Current number of unprocessed clauses: 29
% 0.25/1.44  # ...number of literals in the above   : 48
% 0.25/1.44  # Current number of archived formulas  : 0
% 0.25/1.44  # Current number of archived clauses   : 0
% 0.25/1.44  # Clause-clause subsumption calls (NU) : 0
% 0.25/1.44  # Rec. Clause-clause subsumption calls : 0
% 0.25/1.44  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.44  # Unit Clause-clause subsumption calls : 2
% 0.25/1.44  # Rewrite failures with RHS unbound    : 0
% 0.25/1.44  # BW rewrite match attempts            : 13
% 0.25/1.44  # BW rewrite match successes           : 12
% 0.25/1.44  # Condensation attempts                : 0
% 0.25/1.44  # Condensation successes               : 0
% 0.25/1.44  # Termbank termtop insertions          : 1187
% 0.25/1.44  
% 0.25/1.44  # -------------------------------------------------
% 0.25/1.44  # User time                : 0.012 s
% 0.25/1.44  # System time              : 0.004 s
% 0.25/1.44  # Total time               : 0.016 s
% 0.25/1.44  # Maximum resident set size: 2852 pages
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