TSTP Solution File: RNG116+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG116+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 : Mon Jul 18 20:26:59 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   34 (  14 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   30 (   9   ~;   5   |;  16   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn   2   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1,X2] :
      ( aElement0(X1)
      & aElement0(X2)
      & xu = sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__2456,hypothesis,
    ( ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xa,X1) = xk )
    & aElementOf0(xk,slsdtgt0(xa))
    & ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xb,X1) = xl )
    & aElementOf0(xl,slsdtgt0(xb))
    & xu = sdtpldt0(xk,xl) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2456) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X1,X2] :
        ( aElement0(X1)
        & aElement0(X2)
        & xu = sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,negated_conjecture,
    ! [X3,X4] :
      ( ~ aElement0(X3)
      | ~ aElement0(X4)
      | xu != sdtpldt0(sdtasdt0(xa,X3),sdtasdt0(xb,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_4,hypothesis,
    ( aElement0(esk19_0)
    & sdtasdt0(xa,esk19_0) = xk
    & aElementOf0(xk,slsdtgt0(xa))
    & aElement0(esk20_0)
    & sdtasdt0(xb,esk20_0) = xl
    & aElementOf0(xl,slsdtgt0(xb))
    & xu = sdtpldt0(xk,xl) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__2456])])])]) ).

cnf(c_0_5,negated_conjecture,
    ( xu != sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    sdtasdt0(xa,esk19_0) = xk,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    aElement0(esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( sdtpldt0(xk,sdtasdt0(xb,X1)) != xu
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).

cnf(c_0_9,hypothesis,
    sdtasdt0(xb,esk20_0) = xl,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,hypothesis,
    xu = sdtpldt0(xk,xl),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,hypothesis,
    aElement0(esk20_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,hypothesis,
    $false,
    inference(cn,[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])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG116+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n017.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 : Mon May 30 12:48:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.024 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 13
% 0.24/1.42  # Proof object clause steps            : 8
% 0.24/1.42  # Proof object formula steps           : 5
% 0.24/1.42  # Proof object conjectures             : 5
% 0.24/1.42  # Proof object clause conjectures      : 2
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 6
% 0.24/1.42  # Proof object initial formulas used   : 2
% 0.24/1.42  # Proof object generating inferences   : 2
% 0.24/1.42  # Proof object simplifying inferences  : 5
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 48
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 11
% 0.24/1.42  # Initial clauses                      : 169
% 0.24/1.42  # Removed in clause preprocessing      : 4
% 0.24/1.42  # Initial clauses in saturation        : 165
% 0.24/1.42  # Processed clauses                    : 535
% 0.24/1.42  # ...of these trivial                  : 23
% 0.24/1.42  # ...subsumed                          : 152
% 0.24/1.42  # ...remaining for further processing  : 360
% 0.24/1.42  # Other redundant clauses eliminated   : 25
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 13
% 0.24/1.42  # Backward-rewritten                   : 77
% 0.24/1.42  # Generated clauses                    : 2686
% 0.24/1.42  # ...of the previous two non-trivial   : 2572
% 0.24/1.42  # Contextual simplify-reflections      : 39
% 0.24/1.42  # Paramodulations                      : 2651
% 0.24/1.42  # Factorizations                       : 2
% 0.24/1.42  # Equation resolutions                 : 33
% 0.24/1.42  # Current number of processed clauses  : 270
% 0.24/1.42  #    Positive orientable unit clauses  : 55
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 15
% 0.24/1.42  #    Non-unit-clauses                  : 200
% 0.24/1.42  # Current number of unprocessed clauses: 1113
% 0.24/1.42  # ...number of literals in the above   : 4744
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 90
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 8930
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 4077
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 147
% 0.24/1.42  # Unit Clause-clause subsumption calls : 1326
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 1
% 0.24/1.42  # BW rewrite match successes           : 1
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 41405
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.088 s
% 0.24/1.42  # System time              : 0.004 s
% 0.24/1.42  # Total time               : 0.092 s
% 0.24/1.42  # Maximum resident set size: 5416 pages
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------