TSTP Solution File: LCL678+1.001 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 10:16:39 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   63 (  36   ~;  24   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   21 (   1 sgn  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ $true
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ $true
                | ~ ! [X1] :
                      ( ~ r1(X2,X1)
                      | ! [X2] :
                          ( ~ r1(X1,X2)
                          | p1(X2) )
                      | ~ ! [X2] :
                            ( ~ r1(X1,X2)
                            | p1(X2) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',main) ).

fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reflexivity) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ $true
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ $true
                  | ~ ! [X1] :
                        ( ~ r1(X2,X1)
                        | ! [X2] :
                            ( ~ r1(X1,X2)
                            | p1(X2) )
                        | ~ ! [X2] :
                              ( ~ r1(X1,X2)
                              | p1(X2) ) ) ) ),
    inference(assume_negation,[status(cth)],[main]) ).

fof(c_0_3,negated_conjecture,
    ! [X4,X7] :
      ( ( r1(X4,esk2_1(X4))
        | ~ r1(esk1_0,X4) )
      & ( r1(esk2_1(X4),esk3_1(X4))
        | ~ r1(esk1_0,X4) )
      & ( ~ p1(esk3_1(X4))
        | ~ r1(esk1_0,X4) )
      & ( ~ r1(esk2_1(X4),X7)
        | p1(X7)
        | ~ r1(esk1_0,X4) ) ),
    inference(distribute,[status(thm)],[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)],[inference(fof_simplification,[status(thm)],[c_0_2])])])])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( p1(X2)
    | ~ r1(esk1_0,X1)
    | ~ r1(esk2_1(X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( r1(esk2_1(X1),esk3_1(X1))
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ p1(esk3_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_7,plain,
    ! [X2] : r1(X2,X2),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_8,negated_conjecture,
    ~ r1(esk1_0,X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ( r1(X1,esk2_1(X1))
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL678+1.001 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul  3 06:59:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.013 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 12
% 0.22/1.41  # Proof object clause steps            : 7
% 0.22/1.41  # Proof object formula steps           : 5
% 0.22/1.41  # Proof object conjectures             : 9
% 0.22/1.41  # Proof object clause conjectures      : 6
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 5
% 0.22/1.41  # Proof object initial formulas used   : 2
% 0.22/1.41  # Proof object generating inferences   : 2
% 0.22/1.41  # Proof object simplifying inferences  : 3
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 3
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.41  # Initial clauses                      : 6
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 6
% 0.22/1.41  # Processed clauses                    : 8
% 0.22/1.41  # ...of these trivial                  : 0
% 0.22/1.41  # ...subsumed                          : 0
% 0.22/1.41  # ...remaining for further processing  : 8
% 0.22/1.41  # Other redundant clauses eliminated   : 0
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 0
% 0.22/1.41  # Backward-rewritten                   : 0
% 0.22/1.41  # Generated clauses                    : 8
% 0.22/1.41  # ...of the previous two non-trivial   : 5
% 0.22/1.41  # Contextual simplify-reflections      : 1
% 0.22/1.41  # Paramodulations                      : 8
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 8
% 0.22/1.41  #    Positive orientable unit clauses  : 1
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 1
% 0.22/1.41  #    Non-unit-clauses                  : 6
% 0.22/1.41  # Current number of unprocessed clauses: 3
% 0.22/1.41  # ...number of literals in the above   : 9
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 0
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 3
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 3
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 1
% 0.22/1.41  # Unit Clause-clause subsumption calls : 5
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 1
% 0.22/1.41  # BW rewrite match successes           : 0
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 476
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.013 s
% 0.22/1.41  # System time              : 0.001 s
% 0.22/1.41  # Total time               : 0.014 s
% 0.22/1.41  # Maximum resident set size: 2764 pages
%------------------------------------------------------------------------------