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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM627+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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 09:34:34 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   51 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   53 (  25   ~;  17   |;   7   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__5442,hypothesis,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5442) ).

fof(m__3754,hypothesis,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X2,X1)
       => aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3754) ).

fof(m__5461,hypothesis,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5461) ).

fof(m__5389,hypothesis,
    ( aElementOf0(xm,szNzAzT0)
    & xx = sdtlpdtrp0(xe,xm) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5389) ).

fof(mLessTotal,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mLessTotal) ).

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

fof(mSuccNum,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        & szszuzczcdt0(X1) != sz00 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSuccNum) ).

fof(c_0_7,hypothesis,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(fof_simplification,[status(thm)],[m__5442]) ).

fof(c_0_8,hypothesis,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | ~ sdtlseqdt0(X4,X3)
      | aSubsetOf0(sdtlpdtrp0(xN,X3),sdtlpdtrp0(xN,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])]) ).

fof(c_0_9,hypothesis,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    inference(fof_simplification,[status(thm)],[m__5461]) ).

cnf(c_0_10,hypothesis,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,hypothesis,
    aElementOf0(xm,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__5389]) ).

fof(c_0_13,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | sdtlseqdt0(X3,X4)
      | sdtlseqdt0(szszuzczcdt0(X4),X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).

cnf(c_0_14,hypothesis,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,hypothesis,
    aElementOf0(xn,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__5309]) ).

cnf(c_0_16,hypothesis,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_17,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),X2)
    | sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,hypothesis,
    ~ sdtlseqdt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_12]),c_0_15])]) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
        | ~ aElementOf0(X2,szNzAzT0) )
      & ( szszuzczcdt0(X2) != sz00
        | ~ aElementOf0(X2,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).

cnf(c_0_20,hypothesis,
    ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_12]),c_0_15])]),c_0_18]) ).

cnf(c_0_21,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM627+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul  5 05:30:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/1.42  # Preprocessing time       : 0.027 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 23
% 0.23/1.42  # Proof object clause steps            : 11
% 0.23/1.42  # Proof object formula steps           : 12
% 0.23/1.42  # Proof object conjectures             : 0
% 0.23/1.42  # Proof object clause conjectures      : 0
% 0.23/1.42  # Proof object formula conjectures     : 0
% 0.23/1.42  # Proof object initial clauses used    : 7
% 0.23/1.42  # Proof object initial formulas used   : 7
% 0.23/1.42  # Proof object generating inferences   : 4
% 0.23/1.42  # Proof object simplifying inferences  : 11
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 119
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 227
% 0.23/1.42  # Removed in clause preprocessing      : 7
% 0.23/1.42  # Initial clauses in saturation        : 220
% 0.23/1.42  # Processed clauses                    : 261
% 0.23/1.42  # ...of these trivial                  : 4
% 0.23/1.42  # ...subsumed                          : 12
% 0.23/1.42  # ...remaining for further processing  : 245
% 0.23/1.42  # Other redundant clauses eliminated   : 13
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 1
% 0.23/1.42  # Backward-rewritten                   : 0
% 0.23/1.42  # Generated clauses                    : 885
% 0.23/1.42  # ...of the previous two non-trivial   : 823
% 0.23/1.42  # Contextual simplify-reflections      : 24
% 0.23/1.42  # Paramodulations                      : 844
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 41
% 0.23/1.42  # Current number of processed clauses  : 241
% 0.23/1.42  #    Positive orientable unit clauses  : 60
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 20
% 0.23/1.42  #    Non-unit-clauses                  : 161
% 0.23/1.42  # Current number of unprocessed clauses: 780
% 0.23/1.42  # ...number of literals in the above   : 3868
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 1
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 6949
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 1139
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 24
% 0.23/1.42  # Unit Clause-clause subsumption calls : 1099
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 1
% 0.23/1.42  # BW rewrite match successes           : 1
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 30915
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.054 s
% 0.23/1.42  # System time              : 0.005 s
% 0.23/1.42  # Total time               : 0.059 s
% 0.23/1.42  # Maximum resident set size: 5008 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  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
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  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.mepo_128.in
% 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.mepo_128.in
% 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
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 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
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------