TSTP Solution File: GEO232+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:32:17 EDT 2023

% Result   : Theorem 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  11   ~;   7   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn;   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X2] :
      ( line(X2)
     => unequally_directed_lines(X2,reverse_line(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.dyfBOpfq9d/E---3.1_9119.p',con) ).

fof(oag5,axiom,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    file('/export/starexec/sandbox/tmp/tmp.dyfBOpfq9d/E---3.1_9119.p',oag5) ).

fof(oag8,axiom,
    ! [X2,X3] :
      ( ( line(X2)
        & line(X3) )
     => ( unequally_directed_lines(X2,X3)
        | unequally_directed_lines(X2,reverse_line(X3)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.dyfBOpfq9d/E---3.1_9119.p',oag8) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X2] :
        ( line(X2)
       => unequally_directed_lines(X2,reverse_line(X2)) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_4,plain,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    inference(fof_simplification,[status(thm)],[oag5]) ).

fof(c_0_5,negated_conjecture,
    ( line(esk1_0)
    & ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_6,plain,
    ! [X15,X16] :
      ( ~ line(X15)
      | ~ line(X16)
      | unequally_directed_lines(X15,X16)
      | unequally_directed_lines(X15,reverse_line(X16)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag8])]) ).

fof(c_0_7,plain,
    ! [X8] : ~ unequally_directed_lines(X8,X8),
    inference(variable_rename,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,reverse_line(X2))
    | ~ line(X1)
    | ~ line(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    line(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

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

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n012.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 06:47:19 EDT 2023
% 0.15/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order theorem proving
% 0.15/0.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.dyfBOpfq9d/E---3.1_9119.p
% 0.15/0.43  # Version: 3.1pre001
% 0.15/0.43  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # new_bool_1 with pid 9199 completed with status 0
% 0.15/0.43  # Result found by new_bool_1
% 0.15/0.43  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FGUNF-FFSF11-SFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting SAT001_CO_MinMin_p005000_rr with 181s (1) cores
% 0.15/0.43  # SAT001_CO_MinMin_p005000_rr with pid 9201 completed with status 0
% 0.15/0.43  # Result found by SAT001_CO_MinMin_p005000_rr
% 0.15/0.43  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FGUNF-FFSF11-SFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting SAT001_CO_MinMin_p005000_rr with 181s (1) cores
% 0.15/0.43  # Preprocessing time       : 0.001 s
% 0.15/0.43  # Presaturation interreduction done
% 0.15/0.43  
% 0.15/0.43  # Proof found!
% 0.15/0.43  # SZS status Theorem
% 0.15/0.43  # SZS output start CNFRefutation
% See solution above
% 0.15/0.43  # Parsed axioms                        : 32
% 0.15/0.43  # Removed by relevancy pruning/SinE    : 26
% 0.15/0.43  # Initial clauses                      : 10
% 0.15/0.43  # Removed in clause preprocessing      : 0
% 0.15/0.43  # Initial clauses in saturation        : 10
% 0.15/0.43  # Processed clauses                    : 15
% 0.15/0.43  # ...of these trivial                  : 0
% 0.15/0.43  # ...subsumed                          : 2
% 0.15/0.43  # ...remaining for further processing  : 13
% 0.15/0.43  # Other redundant clauses eliminated   : 0
% 0.15/0.43  # Clauses deleted for lack of memory   : 0
% 0.15/0.43  # Backward-subsumed                    : 0
% 0.15/0.43  # Backward-rewritten                   : 0
% 0.15/0.43  # Generated clauses                    : 2
% 0.15/0.43  # ...of the previous two non-redundant : 0
% 0.15/0.43  # ...aggressively subsumed             : 0
% 0.15/0.43  # Contextual simplify-reflections      : 0
% 0.15/0.43  # Paramodulations                      : 2
% 0.15/0.43  # Factorizations                       : 0
% 0.15/0.43  # NegExts                              : 0
% 0.15/0.43  # Equation resolutions                 : 0
% 0.15/0.43  # Total rewrite steps                  : 1
% 0.15/0.43  # Propositional unsat checks           : 0
% 0.15/0.43  #    Propositional check models        : 0
% 0.15/0.43  #    Propositional check unsatisfiable : 0
% 0.15/0.43  #    Propositional clauses             : 0
% 0.15/0.43  #    Propositional clauses after purity: 0
% 0.15/0.43  #    Propositional unsat core size     : 0
% 0.15/0.43  #    Propositional preprocessing time  : 0.000
% 0.15/0.43  #    Propositional encoding time       : 0.000
% 0.15/0.43  #    Propositional solver time         : 0.000
% 0.15/0.43  #    Success case prop preproc time    : 0.000
% 0.15/0.43  #    Success case prop encoding time   : 0.000
% 0.15/0.43  #    Success case prop solver time     : 0.000
% 0.15/0.43  # Current number of processed clauses  : 5
% 0.15/0.43  #    Positive orientable unit clauses  : 1
% 0.15/0.43  #    Positive unorientable unit clauses: 0
% 0.15/0.43  #    Negative unit clauses             : 2
% 0.15/0.43  #    Non-unit-clauses                  : 2
% 0.15/0.43  # Current number of unprocessed clauses: 3
% 0.15/0.43  # ...number of literals in the above   : 11
% 0.15/0.43  # Current number of archived formulas  : 0
% 0.15/0.43  # Current number of archived clauses   : 8
% 0.15/0.43  # Clause-clause subsumption calls (NU) : 19
% 0.15/0.43  # Rec. Clause-clause subsumption calls : 15
% 0.15/0.43  # Non-unit clause-clause subsumptions  : 2
% 0.15/0.43  # Unit Clause-clause subsumption calls : 1
% 0.15/0.43  # Rewrite failures with RHS unbound    : 0
% 0.15/0.43  # BW rewrite match attempts            : 0
% 0.15/0.43  # BW rewrite match successes           : 0
% 0.15/0.43  # Condensation attempts                : 15
% 0.15/0.43  # Condensation successes               : 0
% 0.15/0.43  # Termbank termtop insertions          : 952
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.000 s
% 0.15/0.43  # System time              : 0.004 s
% 0.15/0.43  # Total time               : 0.004 s
% 0.15/0.43  # Maximum resident set size: 1716 pages
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.001 s
% 0.15/0.43  # System time              : 0.006 s
% 0.15/0.43  # Total time               : 0.007 s
% 0.15/0.43  # Maximum resident set size: 1712 pages
% 0.15/0.43  % E---3.1 exiting
% 0.15/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------