TSTP Solution File: GEO524+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 : Sat Jul 16 04:06:08 EDT 2022

% Result   : Theorem 0.25s 1.44s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   7   ~;   7   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   17 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(aSatz10_7,conjecture,
    ! [X12,X15,X13,X16] :
      ( X12 = X15
      | reflect(X12,X15,X13) != reflect(X12,X15,X16)
      | X13 = X16 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_7) ).

fof(aSatz10_5,axiom,
    ! [X12,X15,X13] :
      ( X12 = X15
      | reflect(X12,X15,reflect(X12,X15,X13)) = X13 ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',aSatz10_5) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X12,X15,X13,X16] :
        ( X12 = X15
        | reflect(X12,X15,X13) != reflect(X12,X15,X16)
        | X13 = X16 ),
    inference(assume_negation,[status(cth)],[aSatz10_7]) ).

fof(c_0_3,plain,
    ! [X16,X17,X18] :
      ( X16 = X17
      | reflect(X16,X17,reflect(X16,X17,X18)) = X18 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[aSatz10_5])])]) ).

fof(c_0_4,negated_conjecture,
    ( esk1_0 != esk2_0
    & reflect(esk1_0,esk2_0,esk3_0) = reflect(esk1_0,esk2_0,esk4_0)
    & esk3_0 != esk4_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,plain,
    ( reflect(X1,X2,reflect(X1,X2,X3)) = X3
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    reflect(esk1_0,esk2_0,esk3_0) = reflect(esk1_0,esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    esk1_0 != esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    reflect(esk1_0,esk2_0,reflect(esk1_0,esk2_0,esk4_0)) = esk3_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    esk3_0 != esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_8]),c_0_9]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n022.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 : Sat Jun 18 07:42:32 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.25/1.44  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.44  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.44  # Preprocessing time       : 0.021 s
% 0.25/1.44  
% 0.25/1.44  # Proof found!
% 0.25/1.44  # SZS status Theorem
% 0.25/1.44  # SZS output start CNFRefutation
% See solution above
% 0.25/1.44  # Proof object total steps             : 11
% 0.25/1.44  # Proof object clause steps            : 6
% 0.25/1.44  # Proof object formula steps           : 5
% 0.25/1.44  # Proof object conjectures             : 8
% 0.25/1.44  # Proof object clause conjectures      : 5
% 0.25/1.44  # Proof object formula conjectures     : 3
% 0.25/1.44  # Proof object initial clauses used    : 4
% 0.25/1.44  # Proof object initial formulas used   : 2
% 0.25/1.44  # Proof object generating inferences   : 2
% 0.25/1.44  # Proof object simplifying inferences  : 3
% 0.25/1.44  # Training examples: 0 positive, 0 negative
% 0.25/1.44  # Parsed axioms                        : 204
% 0.25/1.44  # Removed by relevancy pruning/SinE    : 200
% 0.25/1.44  # Initial clauses                      : 6
% 0.25/1.44  # Removed in clause preprocessing      : 0
% 0.25/1.44  # Initial clauses in saturation        : 6
% 0.25/1.44  # Processed clauses                    : 7
% 0.25/1.44  # ...of these trivial                  : 0
% 0.25/1.44  # ...subsumed                          : 1
% 0.25/1.44  # ...remaining for further processing  : 6
% 0.25/1.44  # Other redundant clauses eliminated   : 1
% 0.25/1.44  # Clauses deleted for lack of memory   : 0
% 0.25/1.44  # Backward-subsumed                    : 0
% 0.25/1.44  # Backward-rewritten                   : 0
% 0.25/1.44  # Generated clauses                    : 8
% 0.25/1.44  # ...of the previous two non-trivial   : 3
% 0.25/1.44  # Contextual simplify-reflections      : 0
% 0.25/1.44  # Paramodulations                      : 6
% 0.25/1.44  # Factorizations                       : 0
% 0.25/1.44  # Equation resolutions                 : 2
% 0.25/1.44  # Current number of processed clauses  : 6
% 0.25/1.44  #    Positive orientable unit clauses  : 2
% 0.25/1.44  #    Positive unorientable unit clauses: 0
% 0.25/1.44  #    Negative unit clauses             : 2
% 0.25/1.44  #    Non-unit-clauses                  : 2
% 0.25/1.44  # Current number of unprocessed clauses: 2
% 0.25/1.44  # ...number of literals in the above   : 4
% 0.25/1.44  # Current number of archived formulas  : 0
% 0.25/1.44  # Current number of archived clauses   : 0
% 0.25/1.44  # Clause-clause subsumption calls (NU) : 3
% 0.25/1.44  # Rec. Clause-clause subsumption calls : 1
% 0.25/1.44  # Non-unit clause-clause subsumptions  : 1
% 0.25/1.44  # Unit Clause-clause subsumption calls : 0
% 0.25/1.44  # Rewrite failures with RHS unbound    : 0
% 0.25/1.44  # BW rewrite match attempts            : 2
% 0.25/1.44  # BW rewrite match successes           : 0
% 0.25/1.44  # Condensation attempts                : 0
% 0.25/1.44  # Condensation successes               : 0
% 0.25/1.44  # Termbank termtop insertions          : 4255
% 0.25/1.44  
% 0.25/1.44  # -------------------------------------------------
% 0.25/1.44  # User time                : 0.018 s
% 0.25/1.44  # System time              : 0.003 s
% 0.25/1.44  # Total time               : 0.021 s
% 0.25/1.44  # Maximum resident set size: 3180 pages
%------------------------------------------------------------------------------