TSTP Solution File: SEU303+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU303+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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 : Tue Jul 19 09:18:48 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   39 (   3 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   38 (  14   ~;  11   |;   7   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t26_finset_1,conjecture,
    ! [X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( finite(relation_dom(X1))
       => finite(relation_rng(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t26_finset_1) ).

fof(fc13_finset_1,axiom,
    ! [X1,X2] :
      ( ( relation(X1)
        & function(X1)
        & finite(X2) )
     => finite(relation_image(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc13_finset_1) ).

fof(t146_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t146_relat_1) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] :
        ( ( relation(X1)
          & function(X1) )
       => ( finite(relation_dom(X1))
         => finite(relation_rng(X1)) ) ),
    inference(assume_negation,[status(cth)],[t26_finset_1]) ).

fof(c_0_4,plain,
    ! [X3,X4] :
      ( ~ relation(X3)
      | ~ function(X3)
      | ~ finite(X4)
      | finite(relation_image(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_finset_1])]) ).

fof(c_0_5,plain,
    ! [X2] :
      ( ~ relation(X2)
      | relation_image(X2,relation_dom(X2)) = relation_rng(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t146_relat_1])]) ).

fof(c_0_6,negated_conjecture,
    ( relation(esk27_0)
    & function(esk27_0)
    & finite(relation_dom(esk27_0))
    & ~ finite(relation_rng(esk27_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_7,plain,
    ( finite(relation_image(X1,X2))
    | ~ finite(X2)
    | ~ function(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( relation_image(X1,relation_dom(X1)) = relation_rng(X1)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    ~ finite(relation_rng(esk27_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( finite(relation_rng(X1))
    | ~ relation(X1)
    | ~ function(X1)
    | ~ finite(relation_dom(X1)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    relation(esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    function(esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    finite(relation_dom(esk27_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU303+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n010.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 : Sun Jun 19 06:32:38 EDT 2022
% 0.13/0.34  % 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       : 0.017 s
% 0.24/1.42  
% 0.24/1.42  # Failure: Out of unprocessed clauses!
% 0.24/1.42  # OLD status GaveUp
% 0.24/1.42  # Parsed axioms                        : 63
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 35
% 0.24/1.42  # Initial clauses                      : 53
% 0.24/1.42  # Removed in clause preprocessing      : 0
% 0.24/1.42  # Initial clauses in saturation        : 53
% 0.24/1.42  # Processed clauses                    : 145
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 57
% 0.24/1.42  # ...remaining for further processing  : 88
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 11
% 0.24/1.42  # Generated clauses                    : 122
% 0.24/1.42  # ...of the previous two non-trivial   : 111
% 0.24/1.42  # Contextual simplify-reflections      : 40
% 0.24/1.42  # Paramodulations                      : 122
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 77
% 0.24/1.42  #    Positive orientable unit clauses  : 22
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 8
% 0.24/1.42  #    Non-unit-clauses                  : 47
% 0.24/1.42  # Current number of unprocessed clauses: 0
% 0.24/1.42  # ...number of literals in the above   : 0
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 11
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 1012
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 996
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 83
% 0.24/1.42  # Unit Clause-clause subsumption calls : 56
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 5
% 0.24/1.42  # BW rewrite match successes           : 5
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 3488
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.017 s
% 0.24/1.42  # System time              : 0.005 s
% 0.24/1.42  # Total time               : 0.022 s
% 0.24/1.42  # Maximum resident set size: 3048 pages
% 0.24/1.42  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.24/1.42  # Preprocessing time       : 0.018 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             : 15
% 0.24/1.42  # Proof object clause steps            : 8
% 0.24/1.42  # Proof object formula steps           : 7
% 0.24/1.42  # Proof object conjectures             : 8
% 0.24/1.42  # Proof object clause conjectures      : 5
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 6
% 0.24/1.42  # Proof object initial formulas used   : 3
% 0.24/1.42  # Proof object generating inferences   : 2
% 0.24/1.42  # Proof object simplifying inferences  : 4
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 63
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.42  # Initial clauses                      : 154
% 0.24/1.42  # Removed in clause preprocessing      : 4
% 0.24/1.42  # Initial clauses in saturation        : 150
% 0.24/1.42  # Processed clauses                    : 156
% 0.24/1.42  # ...of these trivial                  : 6
% 0.24/1.42  # ...subsumed                          : 6
% 0.24/1.42  # ...remaining for further processing  : 144
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 6
% 0.24/1.42  # Generated clauses                    : 80
% 0.24/1.42  # ...of the previous two non-trivial   : 54
% 0.24/1.42  # Contextual simplify-reflections      : 8
% 0.24/1.42  # Paramodulations                      : 80
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 138
% 0.24/1.42  #    Positive orientable unit clauses  : 83
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 11
% 0.24/1.42  #    Non-unit-clauses                  : 44
% 0.24/1.42  # Current number of unprocessed clauses: 47
% 0.24/1.42  # ...number of literals in the above   : 100
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 6
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 281
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 223
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 14
% 0.24/1.42  # Unit Clause-clause subsumption calls : 92
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 1
% 0.24/1.42  # BW rewrite match successes           : 1
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 5594
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.019 s
% 0.24/1.42  # System time              : 0.003 s
% 0.24/1.42  # Total time               : 0.022 s
% 0.24/1.42  # Maximum resident set size: 3292 pages
% 0.24/23.45  eprover: CPU time limit exceeded, terminating
% 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
% 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
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50  eprover: No such file or directory
% 0.24/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.51  eprover: No such file or directory
% 0.24/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.52  eprover: No such file or directory
% 0.24/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.52  eprover: No such file or directory
% 0.24/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.53  eprover: No such file or directory
%------------------------------------------------------------------------------