TSTP Solution File: RNG072+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : RNG072+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 20:26:48 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   55 (   3 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   56 (  24   ~;  19   |;  10   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(mLEMonM,axiom,
    ! [X1,X2,X3,X4] :
      ( ( aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3)
        & aScalar0(X4) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(sz0z00,X3)
          & sdtlseqdt0(X3,X4) )
       => sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLEMonM) ).

fof(m__2628,hypothesis,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    & sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2628) ).

fof(m__2610,hypothesis,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2610) ).

fof(mSumSc,axiom,
    ! [X1,X2] :
      ( ( aScalar0(X1)
        & aScalar0(X2) )
     => aScalar0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSumSc) ).

fof(m__1911,hypothesis,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1911) ).

fof(m__1930,hypothesis,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1930) ).

fof(m__1892,hypothesis,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1892) ).

fof(c_0_8,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_9,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_10,plain,
    ! [X5,X6,X7,X8] :
      ( ~ aScalar0(X5)
      | ~ aScalar0(X6)
      | ~ aScalar0(X7)
      | ~ aScalar0(X8)
      | ~ sdtlseqdt0(X5,X6)
      | ~ sdtlseqdt0(sz0z00,X7)
      | ~ sdtlseqdt0(X7,X8)
      | sdtlseqdt0(sdtasdt0(X5,X7),sdtasdt0(X6,X8)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])]) ).

cnf(c_0_11,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    ( sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4))
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,hypothesis,
    sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
    inference(split_conjunct,[status(thm)],[m__2628]) ).

cnf(c_0_14,hypothesis,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(split_conjunct,[status(thm)],[m__2610]) ).

fof(c_0_15,plain,
    ! [X3,X4] :
      ( ~ aScalar0(X3)
      | ~ aScalar0(X4)
      | aScalar0(sdtpldt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]) ).

cnf(c_0_17,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_18,hypothesis,
    aScalar0(xP),
    inference(split_conjunct,[status(thm)],[m__1911]) ).

cnf(c_0_19,negated_conjecture,
    ~ aScalar0(sdtpldt0(xR,xS)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_20,hypothesis,
    aScalar0(xS),
    inference(split_conjunct,[status(thm)],[m__1930]) ).

cnf(c_0_21,hypothesis,
    aScalar0(xR),
    inference(split_conjunct,[status(thm)],[m__1892]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : RNG072+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon May 30 16:47:40 EDT 2022
% 0.13/0.34  % 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       : 0.018 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             : 23
% 0.23/1.41  # Proof object clause steps            : 11
% 0.23/1.41  # Proof object formula steps           : 12
% 0.23/1.41  # Proof object conjectures             : 7
% 0.23/1.41  # Proof object clause conjectures      : 4
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 8
% 0.23/1.41  # Proof object initial formulas used   : 8
% 0.23/1.41  # Proof object generating inferences   : 3
% 0.23/1.41  # Proof object simplifying inferences  : 8
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 63
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 4
% 0.23/1.41  # Initial clauses                      : 86
% 0.23/1.41  # Removed in clause preprocessing      : 5
% 0.23/1.41  # Initial clauses in saturation        : 81
% 0.23/1.41  # Processed clauses                    : 91
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 0
% 0.23/1.41  # ...remaining for further processing  : 91
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 1
% 0.23/1.41  # Generated clauses                    : 283
% 0.23/1.41  # ...of the previous two non-trivial   : 265
% 0.23/1.41  # Contextual simplify-reflections      : 0
% 0.23/1.41  # Paramodulations                      : 277
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 6
% 0.23/1.41  # Current number of processed clauses  : 90
% 0.23/1.41  #    Positive orientable unit clauses  : 44
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 4
% 0.23/1.41  #    Non-unit-clauses                  : 42
% 0.23/1.41  # Current number of unprocessed clauses: 255
% 0.23/1.41  # ...number of literals in the above   : 1111
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 1
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 959
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 216
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.41  # Unit Clause-clause subsumption calls : 35
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 2
% 0.23/1.41  # BW rewrite match successes           : 1
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 9836
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.023 s
% 0.23/1.41  # System time              : 0.004 s
% 0.23/1.41  # Total time               : 0.027 s
% 0.23/1.41  # Maximum resident set size: 3432 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------