TSTP Solution File: SYN044+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SYN044+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 : Thu Jul 21 05:51:07 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   4 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   36 (  13   ~;  15   |;   3   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    4 (   3 usr;   4 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel10,conjecture,
    ( p
  <=> q ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel10) ).

fof(pel10_3,axiom,
    ( p
   => ( q
      | r ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel10_3) ).

fof(pel10_2,axiom,
    ( r
   => ( p
      & q ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel10_2) ).

fof(pel10_1,axiom,
    ( q
   => r ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel10_1) ).

fof(c_0_4,negated_conjecture,
    ~ ( p
    <=> q ),
    inference(assume_negation,[status(cth)],[pel10]) ).

fof(c_0_5,plain,
    ( ~ p
    | q
    | r ),
    inference(fof_nnf,[status(thm)],[pel10_3]) ).

fof(c_0_6,negated_conjecture,
    ( ( ~ p
      | ~ q )
    & ( p
      | q ) ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ( ( p
      | ~ r )
    & ( q
      | ~ r ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[pel10_2])]) ).

fof(c_0_8,plain,
    ( ~ q
    | r ),
    inference(fof_nnf,[status(thm)],[pel10_1]) ).

cnf(c_0_9,plain,
    ( r
    | q
    | ~ p ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ( q
    | p ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( q
    | ~ r ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( r
    | ~ q ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    q,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_14,plain,
    ( p
    | ~ r ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,plain,
    r,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ q
    | ~ p ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,plain,
    p,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13])]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN044+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n021.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  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 23:30:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42  # Preprocessing time       : 0.013 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 19
% 0.23/1.42  # Proof object clause steps            : 10
% 0.23/1.42  # Proof object formula steps           : 9
% 0.23/1.42  # Proof object conjectures             : 6
% 0.23/1.42  # Proof object clause conjectures      : 3
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 6
% 0.23/1.42  # Proof object initial formulas used   : 4
% 0.23/1.42  # Proof object generating inferences   : 0
% 0.23/1.42  # Proof object simplifying inferences  : 10
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 4
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 6
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 6
% 0.23/1.42  # Processed clauses                    : 9
% 0.23/1.42  # ...of these trivial                  : 0
% 0.23/1.42  # ...subsumed                          : 0
% 0.23/1.42  # ...remaining for further processing  : 8
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 2
% 0.23/1.42  # Backward-rewritten                   : 3
% 0.23/1.42  # Generated clauses                    : 4
% 0.23/1.42  # ...of the previous two non-trivial   : 5
% 0.23/1.42  # Contextual simplify-reflections      : 2
% 0.23/1.42  # Paramodulations                      : 4
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 3
% 0.23/1.42  #    Positive orientable unit clauses  : 3
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 0
% 0.23/1.42  #    Non-unit-clauses                  : 0
% 0.23/1.42  # Current number of unprocessed clauses: 0
% 0.23/1.42  # ...number of literals in the above   : 0
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 5
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 2
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 2
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 2
% 0.23/1.42  # Unit Clause-clause subsumption calls : 2
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 2
% 0.23/1.42  # BW rewrite match successes           : 2
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 189
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.012 s
% 0.23/1.42  # System time              : 0.002 s
% 0.23/1.42  # Total time               : 0.014 s
% 0.23/1.42  # Maximum resident set size: 2752 pages
%------------------------------------------------------------------------------