TSTP Solution File: LCL455+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LCL455+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n014.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 : Sun Jul 17 10:11:19 EDT 2022

% Result   : Theorem 0.21s 1.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   20 (  10   ~;   6   |;   2   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(principia_r2,conjecture,
    r2,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',principia_r2) ).

fof(r2,axiom,
    ( r2
  <=> ! [X4,X5] : is_a_theorem(implies(X5,or(X4,X5))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',r2) ).

fof(or_2,axiom,
    ( or_2
  <=> ! [X1,X2] : is_a_theorem(implies(X2,or(X1,X2))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax',or_2) ).

fof(hilbert_or_2,axiom,
    or_2,
    file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax',hilbert_or_2) ).

fof(c_0_4,negated_conjecture,
    ~ r2,
    inference(assume_negation,[status(cth)],[principia_r2]) ).

fof(c_0_5,plain,
    ! [X6,X7] :
      ( ( ~ r2
        | is_a_theorem(implies(X7,or(X6,X7))) )
      & ( ~ is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0)))
        | r2 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[r2])])])])])]) ).

fof(c_0_6,negated_conjecture,
    ~ r2,
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ! [X3,X4] :
      ( ( ~ or_2
        | is_a_theorem(implies(X4,or(X3,X4))) )
      & ( ~ is_a_theorem(implies(esk23_0,or(esk22_0,esk23_0)))
        | or_2 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[or_2])])])])])]) ).

cnf(c_0_8,plain,
    ( r2
    | ~ is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ~ r2,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( is_a_theorem(implies(X1,or(X2,X1)))
    | ~ or_2 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    or_2,
    inference(split_conjunct,[status(thm)],[hilbert_or_2]) ).

cnf(c_0_12,plain,
    ~ is_a_theorem(implies(esk47_0,or(esk46_0,esk47_0))),
    inference(sr,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    is_a_theorem(implies(X1,or(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).

cnf(c_0_14,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL455+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : run_ET %s %d
% 0.12/0.32  % Computer : n014.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat Jul  2 23:40:25 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.21/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40  # Preprocessing time       : 0.015 s
% 0.21/1.40  
% 0.21/1.40  # Failure: Out of unprocessed clauses!
% 0.21/1.40  # OLD status GaveUp
% 0.21/1.40  # Parsed axioms                        : 53
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 51
% 0.21/1.40  # Initial clauses                      : 3
% 0.21/1.40  # Removed in clause preprocessing      : 0
% 0.21/1.40  # Initial clauses in saturation        : 3
% 0.21/1.40  # Processed clauses                    : 3
% 0.21/1.40  # ...of these trivial                  : 0
% 0.21/1.40  # ...subsumed                          : 1
% 0.21/1.40  # ...remaining for further processing  : 2
% 0.21/1.40  # Other redundant clauses eliminated   : 0
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 0
% 0.21/1.40  # Backward-rewritten                   : 0
% 0.21/1.40  # Generated clauses                    : 0
% 0.21/1.40  # ...of the previous two non-trivial   : 0
% 0.21/1.40  # Contextual simplify-reflections      : 0
% 0.21/1.40  # Paramodulations                      : 0
% 0.21/1.40  # Factorizations                       : 0
% 0.21/1.40  # Equation resolutions                 : 0
% 0.21/1.40  # Current number of processed clauses  : 2
% 0.21/1.40  #    Positive orientable unit clauses  : 0
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 2
% 0.21/1.40  #    Non-unit-clauses                  : 0
% 0.21/1.40  # Current number of unprocessed clauses: 0
% 0.21/1.40  # ...number of literals in the above   : 0
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 0
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 0
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 0
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 0
% 0.21/1.40  # Unit Clause-clause subsumption calls : 0
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 0
% 0.21/1.40  # BW rewrite match successes           : 0
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 501
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.012 s
% 0.21/1.40  # System time              : 0.003 s
% 0.21/1.40  # Total time               : 0.015 s
% 0.21/1.40  # Maximum resident set size: 2732 pages
% 0.21/1.40  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.21/1.40  # Preprocessing time       : 0.019 s
% 0.21/1.40  
% 0.21/1.40  # Proof found!
% 0.21/1.40  # SZS status Theorem
% 0.21/1.40  # SZS output start CNFRefutation
% See solution above
% 0.21/1.40  # Proof object total steps             : 15
% 0.21/1.40  # Proof object clause steps            : 7
% 0.21/1.40  # Proof object formula steps           : 8
% 0.21/1.40  # Proof object conjectures             : 4
% 0.21/1.40  # Proof object clause conjectures      : 1
% 0.21/1.40  # Proof object formula conjectures     : 3
% 0.21/1.40  # Proof object initial clauses used    : 4
% 0.21/1.40  # Proof object initial formulas used   : 4
% 0.21/1.40  # Proof object generating inferences   : 0
% 0.21/1.40  # Proof object simplifying inferences  : 5
% 0.21/1.40  # Training examples: 0 positive, 0 negative
% 0.21/1.40  # Parsed axioms                        : 53
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.21/1.40  # Initial clauses                      : 82
% 0.21/1.40  # Removed in clause preprocessing      : 0
% 0.21/1.40  # Initial clauses in saturation        : 82
% 0.21/1.40  # Processed clauses                    : 49
% 0.21/1.40  # ...of these trivial                  : 13
% 0.21/1.40  # ...subsumed                          : 1
% 0.21/1.40  # ...remaining for further processing  : 35
% 0.21/1.40  # Other redundant clauses eliminated   : 0
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 0
% 0.21/1.40  # Backward-rewritten                   : 2
% 0.21/1.40  # Generated clauses                    : 5
% 0.21/1.40  # ...of the previous two non-trivial   : 2
% 0.21/1.40  # Contextual simplify-reflections      : 0
% 0.21/1.40  # Paramodulations                      : 5
% 0.21/1.40  # Factorizations                       : 0
% 0.21/1.40  # Equation resolutions                 : 0
% 0.21/1.40  # Current number of processed clauses  : 33
% 0.21/1.40  #    Positive orientable unit clauses  : 23
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 1
% 0.21/1.40  #    Non-unit-clauses                  : 9
% 0.21/1.40  # Current number of unprocessed clauses: 35
% 0.21/1.40  # ...number of literals in the above   : 71
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 2
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 0
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 0
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 0
% 0.21/1.40  # Unit Clause-clause subsumption calls : 0
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 3
% 0.21/1.40  # BW rewrite match successes           : 2
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 4402
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.017 s
% 0.21/1.40  # System time              : 0.004 s
% 0.21/1.40  # Total time               : 0.021 s
% 0.21/1.40  # Maximum resident set size: 3068 pages
%------------------------------------------------------------------------------