TSTP Solution File: NUM300+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM300+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 09:31:30 EDT 2022

% Result   : Theorem 0.24s 1.43s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  10 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   4   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   18 (   5 sgn   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(something_less_n0,conjecture,
    ? [X1] : less(X1,n0),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',something_less_n0) ).

fof(less_entry_point_neg_pos,axiom,
    ! [X1,X2,X10,X11] :
      ( ( rdn_translate(X1,rdn_neg(X10))
        & rdn_translate(X2,rdn_pos(X11)) )
     => less(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_pos) ).

fof(rdn0,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn0) ).

fof(rdnn1,axiom,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn1) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X1] : less(X1,n0),
    inference(assume_negation,[status(cth)],[something_less_n0]) ).

fof(c_0_5,plain,
    ! [X12,X13,X14,X15] :
      ( ~ rdn_translate(X12,rdn_neg(X14))
      | ~ rdn_translate(X13,rdn_pos(X15))
      | less(X12,X13) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_neg_pos])])])]) ).

fof(c_0_6,negated_conjecture,
    ! [X2] : ~ less(X2,n0),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

cnf(c_0_7,plain,
    ( less(X1,X2)
    | ~ rdn_translate(X2,rdn_pos(X3))
    | ~ rdn_translate(X1,rdn_neg(X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(split_conjunct,[status(thm)],[rdn0]) ).

cnf(c_0_9,negated_conjecture,
    ~ less(X1,n0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    inference(split_conjunct,[status(thm)],[rdnn1]) ).

cnf(c_0_11,plain,
    ~ rdn_translate(X1,rdn_neg(X2)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_12,plain,
    $false,
    inference(sr,[status(thm)],[c_0_10,c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM300+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jul  7 08:59:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.43  # Preprocessing time       : 0.021 s
% 0.24/1.43  
% 0.24/1.43  # Failure: Out of unprocessed clauses!
% 0.24/1.43  # OLD status GaveUp
% 0.24/1.43  # Parsed axioms                        : 402
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 301
% 0.24/1.43  # Initial clauses                      : 103
% 0.24/1.43  # Removed in clause preprocessing      : 0
% 0.24/1.43  # Initial clauses in saturation        : 103
% 0.24/1.43  # Processed clauses                    : 434
% 0.24/1.43  # ...of these trivial                  : 12
% 0.24/1.43  # ...subsumed                          : 115
% 0.24/1.43  # ...remaining for further processing  : 307
% 0.24/1.43  # Other redundant clauses eliminated   : 1
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 0
% 0.24/1.43  # Backward-rewritten                   : 22
% 0.24/1.43  # Generated clauses                    : 362
% 0.24/1.43  # ...of the previous two non-trivial   : 336
% 0.24/1.43  # Contextual simplify-reflections      : 20
% 0.24/1.43  # Paramodulations                      : 359
% 0.24/1.43  # Factorizations                       : 2
% 0.24/1.43  # Equation resolutions                 : 1
% 0.24/1.43  # Current number of processed clauses  : 284
% 0.24/1.43  #    Positive orientable unit clauses  : 139
% 0.24/1.43  #    Positive unorientable unit clauses: 0
% 0.24/1.43  #    Negative unit clauses             : 40
% 0.24/1.43  #    Non-unit-clauses                  : 105
% 0.24/1.43  # Current number of unprocessed clauses: 0
% 0.24/1.43  # ...number of literals in the above   : 0
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 22
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 2960
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 2573
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 79
% 0.24/1.43  # Unit Clause-clause subsumption calls : 919
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 15
% 0.24/1.43  # BW rewrite match successes           : 15
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 11450
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.033 s
% 0.24/1.43  # System time              : 0.005 s
% 0.24/1.43  # Total time               : 0.038 s
% 0.24/1.43  # Maximum resident set size: 4464 pages
% 0.24/1.43  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.24/1.43  # Preprocessing time       : 0.025 s
% 0.24/1.43  
% 0.24/1.43  # Proof found!
% 0.24/1.43  # SZS status Theorem
% 0.24/1.43  # SZS output start CNFRefutation
% See solution above
% 0.24/1.43  # Proof object total steps             : 13
% 0.24/1.43  # Proof object clause steps            : 6
% 0.24/1.43  # Proof object formula steps           : 7
% 0.24/1.43  # Proof object conjectures             : 4
% 0.24/1.43  # Proof object clause conjectures      : 1
% 0.24/1.43  # Proof object formula conjectures     : 3
% 0.24/1.43  # Proof object initial clauses used    : 4
% 0.24/1.43  # Proof object initial formulas used   : 4
% 0.24/1.43  # Proof object generating inferences   : 1
% 0.24/1.43  # Proof object simplifying inferences  : 2
% 0.24/1.43  # Training examples: 0 positive, 0 negative
% 0.24/1.43  # Parsed axioms                        : 402
% 0.24/1.43  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.43  # Initial clauses                      : 407
% 0.24/1.43  # Removed in clause preprocessing      : 0
% 0.24/1.43  # Initial clauses in saturation        : 407
% 0.24/1.43  # Processed clauses                    : 411
% 0.24/1.43  # ...of these trivial                  : 0
% 0.24/1.43  # ...subsumed                          : 0
% 0.24/1.43  # ...remaining for further processing  : 411
% 0.24/1.43  # Other redundant clauses eliminated   : 2
% 0.24/1.43  # Clauses deleted for lack of memory   : 0
% 0.24/1.43  # Backward-subsumed                    : 0
% 0.24/1.43  # Backward-rewritten                   : 0
% 0.24/1.43  # Generated clauses                    : 1082
% 0.24/1.43  # ...of the previous two non-trivial   : 948
% 0.24/1.43  # Contextual simplify-reflections      : 0
% 0.24/1.43  # Paramodulations                      : 950
% 0.24/1.43  # Factorizations                       : 2
% 0.24/1.43  # Equation resolutions                 : 2
% 0.24/1.43  # Current number of processed clauses  : 281
% 0.24/1.43  #    Positive orientable unit clauses  : 247
% 0.24/1.43  #    Positive unorientable unit clauses: 0
% 0.24/1.43  #    Negative unit clauses             : 3
% 0.24/1.43  #    Non-unit-clauses                  : 31
% 0.24/1.43  # Current number of unprocessed clauses: 560
% 0.24/1.43  # ...number of literals in the above   : 1872
% 0.24/1.43  # Current number of archived formulas  : 0
% 0.24/1.43  # Current number of archived clauses   : 128
% 0.24/1.43  # Clause-clause subsumption calls (NU) : 727
% 0.24/1.43  # Rec. Clause-clause subsumption calls : 268
% 0.24/1.43  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.43  # Unit Clause-clause subsumption calls : 66
% 0.24/1.43  # Rewrite failures with RHS unbound    : 0
% 0.24/1.43  # BW rewrite match attempts            : 1
% 0.24/1.43  # BW rewrite match successes           : 0
% 0.24/1.43  # Condensation attempts                : 0
% 0.24/1.43  # Condensation successes               : 0
% 0.24/1.43  # Termbank termtop insertions          : 32617
% 0.24/1.43  
% 0.24/1.43  # -------------------------------------------------
% 0.24/1.43  # User time                : 0.048 s
% 0.24/1.43  # System time              : 0.004 s
% 0.24/1.43  # Total time               : 0.052 s
% 0.24/1.43  # Maximum resident set size: 6548 pages
% 0.24/3.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.50  eprover: No such file or directory
% 0.24/3.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.51  eprover: No such file or directory
% 0.24/3.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.51  eprover: No such file or directory
% 0.24/3.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.52  eprover: No such file or directory
% 0.24/3.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.52  eprover: No such file or directory
% 0.24/3.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.53  eprover: No such file or directory
% 0.24/3.53  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.53  eprover: No such file or directory
% 0.24/3.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.54  eprover: No such file or directory
% 0.24/3.54  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.54  eprover: No such file or directory
% 0.24/3.55  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.55  eprover: No such file or directory
% 0.24/3.56  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/3.56  eprover: No such file or directory
%------------------------------------------------------------------------------