TSTP Solution File: COM018+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : COM018+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (   9   ~;   6   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   1 sgn   5   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1] : aNormalFormOfIn0(X1,xw,xR),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(mTermNF,axiom,
    ! [X1] :
      ( ( aRewritingSystem0(X1)
        & isTerminating0(X1) )
     => ! [X2] :
          ( aElement0(X2)
         => ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mTermNF) ).

fof(m__656_01,hypothesis,
    ( isLocallyConfluent0(xR)
    & isTerminating0(xR) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__656_01) ).

fof(m__656,hypothesis,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__656) ).

fof(m__799,hypothesis,
    ( aElement0(xw)
    & sdtmndtasgtdt0(xu,xR,xw)
    & sdtmndtasgtdt0(xv,xR,xw) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__799) ).

fof(c_0_5,negated_conjecture,
    ~ ? [X1] : aNormalFormOfIn0(X1,xw,xR),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_6,negated_conjecture,
    ! [X2] : ~ aNormalFormOfIn0(X2,xw,xR),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

fof(c_0_7,plain,
    ! [X4,X5] :
      ( ~ aRewritingSystem0(X4)
      | ~ isTerminating0(X4)
      | ~ aElement0(X5)
      | aNormalFormOfIn0(esk4_2(X4,X5),X5,X4) ),
    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)],[mTermNF])])])])])]) ).

cnf(c_0_8,negated_conjecture,
    ~ aNormalFormOfIn0(X1,xw,xR),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( aNormalFormOfIn0(esk4_2(X1,X2),X2,X1)
    | ~ aElement0(X2)
    | ~ isTerminating0(X1)
    | ~ aRewritingSystem0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,hypothesis,
    isTerminating0(xR),
    inference(split_conjunct,[status(thm)],[m__656_01]) ).

cnf(c_0_11,hypothesis,
    aRewritingSystem0(xR),
    inference(split_conjunct,[status(thm)],[m__656]) ).

cnf(c_0_12,hypothesis,
    aElement0(xw),
    inference(split_conjunct,[status(thm)],[m__799]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COM018+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 17:58:53 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43  # Preprocessing time       : 0.017 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 14
% 0.25/1.43  # Proof object clause steps            : 6
% 0.25/1.43  # Proof object formula steps           : 8
% 0.25/1.43  # Proof object conjectures             : 5
% 0.25/1.43  # Proof object clause conjectures      : 2
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 5
% 0.25/1.43  # Proof object initial formulas used   : 5
% 0.25/1.43  # Proof object generating inferences   : 1
% 0.25/1.43  # Proof object simplifying inferences  : 4
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 23
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 1
% 0.25/1.43  # Initial clauses                      : 55
% 0.25/1.43  # Removed in clause preprocessing      : 4
% 0.25/1.43  # Initial clauses in saturation        : 51
% 0.25/1.43  # Processed clauses                    : 32
% 0.25/1.43  # ...of these trivial                  : 0
% 0.25/1.43  # ...subsumed                          : 0
% 0.25/1.43  # ...remaining for further processing  : 32
% 0.25/1.43  # Other redundant clauses eliminated   : 0
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 0
% 0.25/1.43  # Generated clauses                    : 7
% 0.25/1.43  # ...of the previous two non-trivial   : 1
% 0.25/1.43  # Contextual simplify-reflections      : 0
% 0.25/1.43  # Paramodulations                      : 7
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 32
% 0.25/1.43  #    Positive orientable unit clauses  : 17
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 1
% 0.25/1.43  #    Non-unit-clauses                  : 14
% 0.25/1.43  # Current number of unprocessed clauses: 20
% 0.25/1.43  # ...number of literals in the above   : 124
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 0
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 8
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 3
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 0
% 0.25/1.43  # Unit Clause-clause subsumption calls : 0
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 3
% 0.25/1.43  # BW rewrite match successes           : 0
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 3472
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.016 s
% 0.25/1.43  # System time              : 0.002 s
% 0.25/1.43  # Total time               : 0.018 s
% 0.25/1.43  # Maximum resident set size: 3068 pages
% 0.25/23.43  eprover: CPU time limit exceeded, terminating
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------