TSTP Solution File: GEO211+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO211+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n012.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 04:04:44 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   11 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X6] : unorthogonal_lines(X6,X6),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).

fof(occu1,axiom,
    ! [X6,X7] :
      ( convergent_lines(X6,X7)
      | unorthogonal_lines(X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).

fof(apart3,axiom,
    ! [X1] : ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X6] : unorthogonal_lines(X6,X6),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_4,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,plain,
    ! [X8,X9] :
      ( convergent_lines(X8,X9)
      | unorthogonal_lines(X8,X9) ),
    inference(variable_rename,[status(thm)],[occu1]) ).

fof(c_0_6,plain,
    ! [X2] : ~ convergent_lines(X2,X2),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart3])]) ).

cnf(c_0_7,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( unorthogonal_lines(X1,X2)
    | convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO211+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n012.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 : Sat Jun 18 10:26:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42  # Preprocessing time       : 0.015 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             : 11
% 0.23/1.42  # Proof object clause steps            : 4
% 0.23/1.42  # Proof object formula steps           : 7
% 0.23/1.42  # Proof object conjectures             : 5
% 0.23/1.42  # Proof object clause conjectures      : 2
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 3
% 0.23/1.42  # Proof object initial formulas used   : 3
% 0.23/1.42  # Proof object generating inferences   : 1
% 0.23/1.42  # Proof object simplifying inferences  : 1
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 21
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 6
% 0.23/1.42  # Initial clauses                      : 18
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 18
% 0.23/1.42  # Processed clauses                    : 6
% 0.23/1.42  # ...of these trivial                  : 0
% 0.23/1.42  # ...subsumed                          : 0
% 0.23/1.42  # ...remaining for further processing  : 6
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 0
% 0.23/1.42  # Backward-rewritten                   : 0
% 0.23/1.42  # Generated clauses                    : 1
% 0.23/1.42  # ...of the previous two non-trivial   : 0
% 0.23/1.42  # Contextual simplify-reflections      : 0
% 0.23/1.42  # Paramodulations                      : 1
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 6
% 0.23/1.42  #    Positive orientable unit clauses  : 0
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 4
% 0.23/1.42  #    Non-unit-clauses                  : 2
% 0.23/1.42  # Current number of unprocessed clauses: 12
% 0.23/1.42  # ...number of literals in the above   : 45
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 0
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 0
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 0
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.42  # Unit Clause-clause subsumption calls : 1
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 0
% 0.23/1.42  # BW rewrite match successes           : 0
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 1139
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.013 s
% 0.23/1.42  # System time              : 0.002 s
% 0.23/1.42  # Total time               : 0.015 s
% 0.23/1.42  # Maximum resident set size: 2828 pages
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