TSTP Solution File: SWV386+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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 18:16:25 EDT 2022

% Result   : Theorem 0.27s 1.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   22 (  13   ~;   4   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   20 (   1 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l22_co,conjecture,
    ! [X1,X2,X3] :
      ( ~ check_cpq(triple(X1,X2,X3))
     => ! [X4] :
          ( ~ check_cpq(insert_cpq(triple(X1,X2,X3),X4))
          | ~ ok(insert_cpq(triple(X1,X2,X3),X4)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l22_co) ).

fof(l22_l26,lemma,
    ! [X1,X2,X3] :
      ( ~ check_cpq(triple(X1,X2,X3))
     => ! [X4] : ~ check_cpq(insert_cpq(triple(X1,X2,X3),X4)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l22_l26) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ~ check_cpq(triple(X1,X2,X3))
       => ! [X4] :
            ( ~ check_cpq(insert_cpq(triple(X1,X2,X3),X4))
            | ~ ok(insert_cpq(triple(X1,X2,X3),X4)) ) ),
    inference(assume_negation,[status(cth)],[l22_co]) ).

fof(c_0_3,lemma,
    ! [X5,X6,X7,X8] :
      ( check_cpq(triple(X5,X6,X7))
      | ~ check_cpq(insert_cpq(triple(X5,X6,X7),X8)) ),
    inference(shift_quantors,[status(thm)],[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)],[l22_l26])])])])])]) ).

fof(c_0_4,negated_conjecture,
    ( ~ check_cpq(triple(esk1_0,esk2_0,esk3_0))
    & check_cpq(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0))
    & ok(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)) ),
    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_5,lemma,
    ( check_cpq(triple(X1,X2,X3))
    | ~ check_cpq(insert_cpq(triple(X1,X2,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    check_cpq(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ~ check_cpq(triple(esk1_0,esk2_0,esk3_0)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14  % Problem  : SWV386+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.15  % Command  : run_ET %s %d
% 0.16/0.36  % Computer : n018.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 600
% 0.16/0.36  % DateTime : Wed Jun 15 17:34:45 EDT 2022
% 0.16/0.36  % CPUTime  : 
% 0.27/1.45  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.45  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.45  # Preprocessing time       : 0.018 s
% 0.27/1.45  
% 0.27/1.45  # Proof found!
% 0.27/1.45  # SZS status Theorem
% 0.27/1.45  # SZS output start CNFRefutation
% See solution above
% 0.27/1.45  # Proof object total steps             : 9
% 0.27/1.45  # Proof object clause steps            : 4
% 0.27/1.45  # Proof object formula steps           : 5
% 0.27/1.45  # Proof object conjectures             : 6
% 0.27/1.45  # Proof object clause conjectures      : 3
% 0.27/1.45  # Proof object formula conjectures     : 3
% 0.27/1.45  # Proof object initial clauses used    : 3
% 0.27/1.45  # Proof object initial formulas used   : 2
% 0.27/1.45  # Proof object generating inferences   : 1
% 0.27/1.45  # Proof object simplifying inferences  : 1
% 0.27/1.45  # Training examples: 0 positive, 0 negative
% 0.27/1.45  # Parsed axioms                        : 43
% 0.27/1.45  # Removed by relevancy pruning/SinE    : 14
% 0.27/1.45  # Initial clauses                      : 36
% 0.27/1.45  # Removed in clause preprocessing      : 0
% 0.27/1.45  # Initial clauses in saturation        : 36
% 0.27/1.45  # Processed clauses                    : 14
% 0.27/1.45  # ...of these trivial                  : 0
% 0.27/1.45  # ...subsumed                          : 0
% 0.27/1.45  # ...remaining for further processing  : 14
% 0.27/1.45  # Other redundant clauses eliminated   : 0
% 0.27/1.45  # Clauses deleted for lack of memory   : 0
% 0.27/1.45  # Backward-subsumed                    : 0
% 0.27/1.45  # Backward-rewritten                   : 0
% 0.27/1.45  # Generated clauses                    : 3
% 0.27/1.45  # ...of the previous two non-trivial   : 0
% 0.27/1.45  # Contextual simplify-reflections      : 0
% 0.27/1.45  # Paramodulations                      : 1
% 0.27/1.45  # Factorizations                       : 2
% 0.27/1.45  # Equation resolutions                 : 0
% 0.27/1.45  # Current number of processed clauses  : 14
% 0.27/1.45  #    Positive orientable unit clauses  : 8
% 0.27/1.45  #    Positive unorientable unit clauses: 0
% 0.27/1.45  #    Negative unit clauses             : 3
% 0.27/1.45  #    Non-unit-clauses                  : 3
% 0.27/1.45  # Current number of unprocessed clauses: 22
% 0.27/1.45  # ...number of literals in the above   : 54
% 0.27/1.45  # Current number of archived formulas  : 0
% 0.27/1.45  # Current number of archived clauses   : 0
% 0.27/1.45  # Clause-clause subsumption calls (NU) : 1
% 0.27/1.45  # Rec. Clause-clause subsumption calls : 1
% 0.27/1.45  # Non-unit clause-clause subsumptions  : 0
% 0.27/1.45  # Unit Clause-clause subsumption calls : 1
% 0.27/1.45  # Rewrite failures with RHS unbound    : 0
% 0.27/1.45  # BW rewrite match attempts            : 0
% 0.27/1.45  # BW rewrite match successes           : 0
% 0.27/1.45  # Condensation attempts                : 0
% 0.27/1.45  # Condensation successes               : 0
% 0.27/1.45  # Termbank termtop insertions          : 2497
% 0.27/1.45  
% 0.27/1.45  # -------------------------------------------------
% 0.27/1.45  # User time                : 0.013 s
% 0.27/1.45  # System time              : 0.005 s
% 0.27/1.45  # Total time               : 0.018 s
% 0.27/1.45  # Maximum resident set size: 2796 pages
%------------------------------------------------------------------------------