TSTP Solution File: GEO233+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n003.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 04:04:58 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   63 (  22   ~;  33   |;   6   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   32 (   0 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X2] : ~ unequally_directed_lines(reverse_line(reverse_line(X2)),X2),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',con) ).

fof(oag6,axiom,
    ! [X2,X3,X6] :
      ( unequally_directed_lines(X2,X3)
     => ( unequally_directed_lines(X2,X6)
        | unequally_directed_lines(X3,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag6) ).

fof(oag7,axiom,
    ! [X2,X3,X6] :
      ( ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) )
     => ( ( unequally_directed_lines(X2,X6)
          & unequally_directed_lines(X2,reverse_line(X6)) )
        | ( unequally_directed_lines(X3,X6)
          & unequally_directed_lines(X3,reverse_line(X6)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag7) ).

fof(oag5,axiom,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag5) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X2] : ~ unequally_directed_lines(reverse_line(reverse_line(X2)),X2),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_5,plain,
    ! [X7,X8,X9] :
      ( ~ unequally_directed_lines(X7,X8)
      | unequally_directed_lines(X7,X9)
      | unequally_directed_lines(X8,X9) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])])])]) ).

fof(c_0_6,negated_conjecture,
    unequally_directed_lines(reverse_line(reverse_line(esk1_0)),esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])]) ).

fof(c_0_7,plain,
    ! [X7,X8,X9] :
      ( ( unequally_directed_lines(X8,X9)
        | unequally_directed_lines(X7,X9)
        | ~ unequally_directed_lines(X7,X8)
        | ~ unequally_directed_lines(X7,reverse_line(X8)) )
      & ( unequally_directed_lines(X8,reverse_line(X9))
        | unequally_directed_lines(X7,X9)
        | ~ unequally_directed_lines(X7,X8)
        | ~ unequally_directed_lines(X7,reverse_line(X8)) )
      & ( unequally_directed_lines(X8,X9)
        | unequally_directed_lines(X7,reverse_line(X9))
        | ~ unequally_directed_lines(X7,X8)
        | ~ unequally_directed_lines(X7,reverse_line(X8)) )
      & ( unequally_directed_lines(X8,reverse_line(X9))
        | unequally_directed_lines(X7,reverse_line(X9))
        | ~ unequally_directed_lines(X7,X8)
        | ~ unequally_directed_lines(X7,reverse_line(X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag7])])])])]) ).

cnf(c_0_8,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    unequally_directed_lines(reverse_line(reverse_line(esk1_0)),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,plain,
    ! [X3] : ~ unequally_directed_lines(X3,X3),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[oag5])]) ).

cnf(c_0_11,plain,
    ( unequally_directed_lines(X1,reverse_line(X3))
    | unequally_directed_lines(X2,X3)
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X1)
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ~ unequally_directed_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),reverse_line(X1))
    | unequally_directed_lines(esk1_0,reverse_line(X2))
    | unequally_directed_lines(X2,X1)
    | ~ unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    ( unequally_directed_lines(X1,X3)
    | unequally_directed_lines(X2,reverse_line(X3))
    | ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk1_0))),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),reverse_line(X1))
    | unequally_directed_lines(esk1_0,reverse_line(esk1_0))
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_9]) ).

cnf(c_0_18,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk1_0),reverse_line(X1))
    | unequally_directed_lines(esk1_0,X1)
    | ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
    inference(spm,[status(thm)],[c_0_13,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    ( unequally_directed_lines(reverse_line(esk1_0),reverse_line(X1))
    | unequally_directed_lines(esk1_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_20]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.14/0.33  % Computer : n003.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sat Jun 18 13:37:58 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.014 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 22
% 0.23/1.41  # Proof object clause steps            : 13
% 0.23/1.41  # Proof object formula steps           : 9
% 0.23/1.41  # Proof object conjectures             : 12
% 0.23/1.41  # Proof object clause conjectures      : 9
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 5
% 0.23/1.41  # Proof object initial formulas used   : 4
% 0.23/1.41  # Proof object generating inferences   : 7
% 0.23/1.41  # Proof object simplifying inferences  : 3
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 32
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 28
% 0.23/1.41  # Initial clauses                      : 7
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 7
% 0.23/1.41  # Processed clauses                    : 23
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 6
% 0.23/1.41  # ...remaining for further processing  : 17
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 3
% 0.23/1.41  # Generated clauses                    : 53
% 0.23/1.41  # ...of the previous two non-trivial   : 45
% 0.23/1.41  # Contextual simplify-reflections      : 2
% 0.23/1.41  # Paramodulations                      : 51
% 0.23/1.41  # Factorizations                       : 2
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 14
% 0.23/1.41  #    Positive orientable unit clauses  : 3
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 1
% 0.23/1.41  #    Non-unit-clauses                  : 10
% 0.23/1.41  # Current number of unprocessed clauses: 20
% 0.23/1.41  # ...number of literals in the above   : 80
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 3
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 95
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 76
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 6
% 0.23/1.41  # Unit Clause-clause subsumption calls : 6
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 1
% 0.23/1.41  # BW rewrite match successes           : 1
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 1531
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.013 s
% 0.23/1.41  # System time              : 0.003 s
% 0.23/1.41  # Total time               : 0.016 s
% 0.23/1.41  # Maximum resident set size: 2704 pages
%------------------------------------------------------------------------------