TSTP Solution File: NUM622+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM622+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n007.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 09:34:31 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   38 (   7 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :   34 (  10   ~;   7   |;  14   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__5461,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,sdtlpdtrp0(xN,xn))
       => aElementOf0(X1,sdtlpdtrp0(xN,xm)) )
    & aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5461) ).

fof(m__4660,hypothesis,
    ( aFunction0(xe)
    & szDzozmdt0(xe) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
          & ! [X2] :
              ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
             => sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
          & sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__4660) ).

fof(m__5309,hypothesis,
    ( aElementOf0(xn,szDzozmdt0(xd))
    & sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(xn,szNzAzT0)
    & sdtlpdtrp0(xe,xn) = xp ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5309) ).

fof(c_0_4,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_5,hypothesis,
    ! [X2] :
      ( ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xn))
        | aElementOf0(X2,sdtlpdtrp0(xN,xm)) )
      & aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
    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)],[m__5461])])])])]) ).

fof(c_0_6,hypothesis,
    ! [X3,X4] :
      ( aFunction0(xe)
      & szDzozmdt0(xe) = szNzAzT0
      & ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
        | sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( sdtlpdtrp0(xe,X3) = szmzizndt0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    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)],[m__4660])])])])])]) ).

fof(c_0_7,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    ( aElementOf0(X1,sdtlpdtrp0(xN,xm))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xn)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,hypothesis,
    sdtlpdtrp0(xe,xn) = xp,
    inference(split_conjunct,[status(thm)],[m__5309]) ).

cnf(c_0_11,hypothesis,
    aElementOf0(xn,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__5309]) ).

cnf(c_0_12,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,hypothesis,
    $false,
    inference(sr,[status(thm)],[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])]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM622+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n007.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 : Tue Jul  5 23:23:28 EDT 2022
% 0.12/0.34  % 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       : 0.312 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             : 4
% 0.25/1.43  # Proof object clause conjectures      : 1
% 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   : 4
% 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                        : 119
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 18
% 0.25/1.43  # Initial clauses                      : 4889
% 0.25/1.43  # Removed in clause preprocessing      : 7
% 0.25/1.43  # Initial clauses in saturation        : 4882
% 0.25/1.43  # Processed clauses                    : 138
% 0.25/1.43  # ...of these trivial                  : 6
% 0.25/1.43  # ...subsumed                          : 5
% 0.25/1.43  # ...remaining for further processing  : 127
% 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                   : 1
% 0.25/1.43  # Generated clauses                    : 108
% 0.25/1.43  # ...of the previous two non-trivial   : 74
% 0.25/1.43  # Contextual simplify-reflections      : 0
% 0.25/1.43  # Paramodulations                      : 108
% 0.25/1.43  # Factorizations                       : 0
% 0.25/1.43  # Equation resolutions                 : 0
% 0.25/1.43  # Current number of processed clauses  : 126
% 0.25/1.43  #    Positive orientable unit clauses  : 64
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 5
% 0.25/1.43  #    Non-unit-clauses                  : 57
% 0.25/1.43  # Current number of unprocessed clauses: 4818
% 0.25/1.43  # ...number of literals in the above   : 55788
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 1
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 347
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 308
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 4
% 0.25/1.43  # Unit Clause-clause subsumption calls : 36
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 1
% 0.25/1.43  # BW rewrite match successes           : 1
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 378313
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.300 s
% 0.25/1.43  # System time              : 0.016 s
% 0.25/1.43  # Total time               : 0.316 s
% 0.25/1.43  # Maximum resident set size: 21472 pages
% 0.25/23.43  eprover: CPU time limit exceeded, terminating
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------