TSTP Solution File: RNG115+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG115+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 20:26:58 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   61 (  25 equ)
%            Maximal formula atoms :   16 (   6 avg)
%            Number of connectives :   81 (  30   ~;  25   |;  25   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn   8   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1,X2] :
      ( ( ? [X3] :
            ( aElement0(X3)
            & sdtasdt0(xa,X3) = X1 )
        | aElementOf0(X1,slsdtgt0(xa)) )
      & ( ? [X3] :
            ( aElement0(X3)
            & sdtasdt0(xb,X3) = X2 )
        | aElementOf0(X2,slsdtgt0(xb)) )
      & xu = sdtpldt0(X1,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__2273,hypothesis,
    ( ? [X1,X2] :
        ( aElementOf0(X1,slsdtgt0(xa))
        & aElementOf0(X2,slsdtgt0(xb))
        & sdtpldt0(X1,X2) = xu )
    & aElementOf0(xu,xI)
    & xu != sz00
    & ! [X1] :
        ( ( ( ? [X2,X3] :
                ( aElementOf0(X2,slsdtgt0(xa))
                & aElementOf0(X3,slsdtgt0(xb))
                & sdtpldt0(X2,X3) = X1 )
            | aElementOf0(X1,xI) )
          & X1 != sz00 )
       => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2273) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X1,X2] :
        ( ( ? [X3] :
              ( aElement0(X3)
              & sdtasdt0(xa,X3) = X1 )
          | aElementOf0(X1,slsdtgt0(xa)) )
        & ( ? [X3] :
              ( aElement0(X3)
              & sdtasdt0(xb,X3) = X2 )
          | aElementOf0(X2,slsdtgt0(xb)) )
        & xu = sdtpldt0(X1,X2) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,negated_conjecture,
    ! [X4,X5,X6,X7] :
      ( ( ~ aElement0(X7)
        | sdtasdt0(xb,X7) != X5
        | ~ aElement0(X6)
        | sdtasdt0(xa,X6) != X4
        | xu != sdtpldt0(X4,X5) )
      & ( ~ aElementOf0(X5,slsdtgt0(xb))
        | ~ aElement0(X6)
        | sdtasdt0(xa,X6) != X4
        | xu != sdtpldt0(X4,X5) )
      & ( ~ aElement0(X7)
        | sdtasdt0(xb,X7) != X5
        | ~ aElementOf0(X4,slsdtgt0(xa))
        | xu != sdtpldt0(X4,X5) )
      & ( ~ aElementOf0(X5,slsdtgt0(xb))
        | ~ aElementOf0(X4,slsdtgt0(xa))
        | xu != sdtpldt0(X4,X5) ) ),
    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_2])])])])])]) ).

fof(c_0_4,hypothesis,
    ! [X6,X7,X8] :
      ( aElementOf0(esk17_0,slsdtgt0(xa))
      & aElementOf0(esk18_0,slsdtgt0(xb))
      & sdtpldt0(esk17_0,esk18_0) = xu
      & aElementOf0(xu,xI)
      & xu != sz00
      & ( ~ aElementOf0(X7,slsdtgt0(xa))
        | ~ aElementOf0(X8,slsdtgt0(xb))
        | sdtpldt0(X7,X8) != X6
        | X6 = sz00
        | ~ iLess0(sbrdtbr0(X6),sbrdtbr0(xu)) )
      & ( ~ aElementOf0(X6,xI)
        | X6 = sz00
        | ~ iLess0(sbrdtbr0(X6),sbrdtbr0(xu)) ) ),
    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)],[m__2273])])])])])])])]) ).

cnf(c_0_5,negated_conjecture,
    ( xu != sdtpldt0(X1,X2)
    | ~ aElementOf0(X1,slsdtgt0(xa))
    | ~ aElementOf0(X2,slsdtgt0(xb)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    sdtpldt0(esk17_0,esk18_0) = xu,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    aElementOf0(esk18_0,slsdtgt0(xb)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    aElementOf0(esk17_0,slsdtgt0(xa)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG115+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n021.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 04:49:28 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       : 0.025 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             : 10
% 0.24/1.42  # Proof object clause steps            : 5
% 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    : 4
% 0.24/1.42  # Proof object initial formulas used   : 2
% 0.24/1.42  # Proof object generating inferences   : 1
% 0.24/1.42  # Proof object simplifying inferences  : 3
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 47
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 11
% 0.24/1.42  # Initial clauses                      : 165
% 0.24/1.42  # Removed in clause preprocessing      : 4
% 0.24/1.42  # Initial clauses in saturation        : 161
% 0.24/1.42  # Processed clauses                    : 166
% 0.24/1.42  # ...of these trivial                  : 1
% 0.24/1.42  # ...subsumed                          : 3
% 0.24/1.42  # ...remaining for further processing  : 161
% 0.24/1.42  # Other redundant clauses eliminated   : 37
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 0
% 0.24/1.42  # Generated clauses                    : 795
% 0.24/1.42  # ...of the previous two non-trivial   : 692
% 0.24/1.42  # Contextual simplify-reflections      : 0
% 0.24/1.42  # Paramodulations                      : 747
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 48
% 0.24/1.42  # Current number of processed clauses  : 161
% 0.24/1.42  #    Positive orientable unit clauses  : 37
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 3
% 0.24/1.42  #    Non-unit-clauses                  : 121
% 0.24/1.42  # Current number of unprocessed clauses: 687
% 0.24/1.42  # ...number of literals in the above   : 3199
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 0
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 1627
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 521
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 3
% 0.24/1.42  # Unit Clause-clause subsumption calls : 33
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 0
% 0.24/1.42  # BW rewrite match successes           : 0
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 21204
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.053 s
% 0.24/1.42  # System time              : 0.003 s
% 0.24/1.42  # Total time               : 0.056 s
% 0.24/1.42  # Maximum resident set size: 4152 pages
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------