TSTP Solution File: COM016+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 : Fri Jul 15 01:14:05 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   79 (   4 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :   87 (  24   ~;  35   |;  28   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn   2   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] :
      ( aElement0(X1)
      & aReductOfIn0(X1,xa,xR)
      & ( X1 = xb
        | aReductOfIn0(xb,X1,xR)
        | ? [X2] :
            ( aElement0(X2)
            & aReductOfIn0(X2,X1,xR)
            & sdtmndtplgtdt0(X2,xR,xb) )
        | sdtmndtplgtdt0(X1,xR,xb)
        | sdtmndtasgtdt0(X1,xR,xb) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__731_02,hypothesis,
    ( ( aReductOfIn0(xb,xa,xR)
      | ? [X1] :
          ( aElement0(X1)
          & aReductOfIn0(X1,xa,xR)
          & sdtmndtplgtdt0(X1,xR,xb) ) )
    & sdtmndtplgtdt0(xa,xR,xb)
    & ( aReductOfIn0(xc,xa,xR)
      | ? [X1] :
          ( aElement0(X1)
          & aReductOfIn0(X1,xa,xR)
          & sdtmndtplgtdt0(X1,xR,xc) ) )
    & sdtmndtplgtdt0(xa,xR,xc) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__731_02) ).

fof(m__731,hypothesis,
    ( aElement0(xa)
    & aElement0(xb)
    & aElement0(xc) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__731) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X1] :
        ( aElement0(X1)
        & aReductOfIn0(X1,xa,xR)
        & ( X1 = xb
          | aReductOfIn0(xb,X1,xR)
          | ? [X2] :
              ( aElement0(X2)
              & aReductOfIn0(X2,X1,xR)
              & sdtmndtplgtdt0(X2,xR,xb) )
          | sdtmndtplgtdt0(X1,xR,xb)
          | sdtmndtasgtdt0(X1,xR,xb) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_4,negated_conjecture,
    ! [X3,X4] :
      ( ( X3 != xb
        | ~ aElement0(X3)
        | ~ aReductOfIn0(X3,xa,xR) )
      & ( ~ aReductOfIn0(xb,X3,xR)
        | ~ aElement0(X3)
        | ~ aReductOfIn0(X3,xa,xR) )
      & ( ~ aElement0(X4)
        | ~ aReductOfIn0(X4,X3,xR)
        | ~ sdtmndtplgtdt0(X4,xR,xb)
        | ~ aElement0(X3)
        | ~ aReductOfIn0(X3,xa,xR) )
      & ( ~ sdtmndtplgtdt0(X3,xR,xb)
        | ~ aElement0(X3)
        | ~ aReductOfIn0(X3,xa,xR) )
      & ( ~ sdtmndtasgtdt0(X3,xR,xb)
        | ~ aElement0(X3)
        | ~ aReductOfIn0(X3,xa,xR) ) ),
    inference(distribute,[status(thm)],[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)],[c_0_3])])])])])]) ).

fof(c_0_5,hypothesis,
    ( ( aElement0(esk7_0)
      | aReductOfIn0(xb,xa,xR) )
    & ( aReductOfIn0(esk7_0,xa,xR)
      | aReductOfIn0(xb,xa,xR) )
    & ( sdtmndtplgtdt0(esk7_0,xR,xb)
      | aReductOfIn0(xb,xa,xR) )
    & sdtmndtplgtdt0(xa,xR,xb)
    & ( aElement0(esk8_0)
      | aReductOfIn0(xc,xa,xR) )
    & ( aReductOfIn0(esk8_0,xa,xR)
      | aReductOfIn0(xc,xa,xR) )
    & ( sdtmndtplgtdt0(esk8_0,xR,xc)
      | aReductOfIn0(xc,xa,xR) )
    & sdtmndtplgtdt0(xa,xR,xc) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__731_02])])])])]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ aReductOfIn0(X1,xa,xR)
    | ~ aElement0(X1)
    | X1 != xb ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    ( aReductOfIn0(xb,xa,xR)
    | aReductOfIn0(esk7_0,xa,xR) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    aElement0(xb),
    inference(split_conjunct,[status(thm)],[m__731]) ).

cnf(c_0_9,hypothesis,
    ( aReductOfIn0(xb,xa,xR)
    | aElement0(esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ( ~ aReductOfIn0(X1,xa,xR)
    | ~ aElement0(X1)
    | ~ sdtmndtplgtdt0(X1,xR,xb) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,hypothesis,
    ( aReductOfIn0(xb,xa,xR)
    | sdtmndtplgtdt0(esk7_0,xR,xb) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    aReductOfIn0(esk7_0,xa,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).

cnf(c_0_13,negated_conjecture,
    aElement0(esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_9]),c_0_8])]) ).

cnf(c_0_14,negated_conjecture,
    aReductOfIn0(xb,xa,xR),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_14]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM016+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun 16 17:32:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.040 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 16
% 0.23/1.41  # Proof object clause steps            : 10
% 0.23/1.41  # Proof object formula steps           : 6
% 0.23/1.41  # Proof object conjectures             : 9
% 0.23/1.41  # Proof object clause conjectures      : 6
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 6
% 0.23/1.41  # Proof object initial formulas used   : 3
% 0.23/1.41  # Proof object generating inferences   : 4
% 0.23/1.41  # Proof object simplifying inferences  : 9
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 20
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 3
% 0.23/1.41  # Initial clauses                      : 337
% 0.23/1.41  # Removed in clause preprocessing      : 4
% 0.23/1.41  # Initial clauses in saturation        : 333
% 0.23/1.41  # Processed clauses                    : 356
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 2
% 0.23/1.41  # ...remaining for further processing  : 354
% 0.23/1.41  # Other redundant clauses eliminated   : 111
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 3
% 0.23/1.41  # Generated clauses                    : 3121
% 0.23/1.41  # ...of the previous two non-trivial   : 3006
% 0.23/1.41  # Contextual simplify-reflections      : 11
% 0.23/1.41  # Paramodulations                      : 3021
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 111
% 0.23/1.41  # Current number of processed clauses  : 251
% 0.23/1.41  #    Positive orientable unit clauses  : 13
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 4
% 0.23/1.41  #    Non-unit-clauses                  : 234
% 0.23/1.41  # Current number of unprocessed clauses: 2881
% 0.23/1.41  # ...number of literals in the above   : 40435
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 3
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 53255
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 3383
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 13
% 0.23/1.41  # Unit Clause-clause subsumption calls : 879
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 4
% 0.23/1.41  # BW rewrite match successes           : 3
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 134298
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.254 s
% 0.23/1.41  # System time              : 0.004 s
% 0.23/1.41  # Total time               : 0.258 s
% 0.23/1.41  # Maximum resident set size: 7296 pages
%------------------------------------------------------------------------------