TSTP Solution File: GEO233+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 0.41s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (  12 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   59 (  22   ~;  29   |;   6   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    4 (   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   :   30 (   0 sgn;  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X2] : ~ unequally_directed_lines(reverse_line(reverse_line(X2)),X2),
    file('/export/starexec/sandbox/tmp/tmp.UdEvrsTSwB/E---3.1_23632.p',con) ).

fof(oag5,axiom,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    file('/export/starexec/sandbox/tmp/tmp.UdEvrsTSwB/E---3.1_23632.p',oag5) ).

fof(oag6,axiom,
    ! [X2,X3,X6] :
      ( unequally_directed_lines(X2,X3)
     => ( unequally_directed_lines(X2,X6)
        | unequally_directed_lines(X3,X6) ) ),
    file('/export/starexec/sandbox/tmp/tmp.UdEvrsTSwB/E---3.1_23632.p',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/sandbox/tmp/tmp.UdEvrsTSwB/E---3.1_23632.p',oag7) ).

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

fof(c_0_5,plain,
    ! [X2] : ~ unequally_directed_lines(X2,X2),
    inference(fof_simplification,[status(thm)],[oag5]) ).

fof(c_0_6,plain,
    ! [X9,X10,X11] :
      ( ~ unequally_directed_lines(X9,X10)
      | unequally_directed_lines(X9,X11)
      | unequally_directed_lines(X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag6])]) ).

fof(c_0_7,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)],[c_0_4])])]) ).

fof(c_0_8,plain,
    ! [X8] : ~ unequally_directed_lines(X8,X8),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( unequally_directed_lines(X1,X3)
    | unequally_directed_lines(X2,X3)
    | ~ unequally_directed_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    unequally_directed_lines(reverse_line(reverse_line(esk1_0)),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X12,X13,X14] :
      ( ( unequally_directed_lines(X13,X14)
        | unequally_directed_lines(X12,X14)
        | ~ unequally_directed_lines(X12,X13)
        | ~ unequally_directed_lines(X12,reverse_line(X13)) )
      & ( unequally_directed_lines(X13,reverse_line(X14))
        | unequally_directed_lines(X12,X14)
        | ~ unequally_directed_lines(X12,X13)
        | ~ unequally_directed_lines(X12,reverse_line(X13)) )
      & ( unequally_directed_lines(X13,X14)
        | unequally_directed_lines(X12,reverse_line(X14))
        | ~ unequally_directed_lines(X12,X13)
        | ~ unequally_directed_lines(X12,reverse_line(X13)) )
      & ( unequally_directed_lines(X13,reverse_line(X14))
        | unequally_directed_lines(X12,reverse_line(X14))
        | ~ unequally_directed_lines(X12,X13)
        | ~ unequally_directed_lines(X12,reverse_line(X13)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag7])])]) ).

cnf(c_0_12,plain,
    ~ unequally_directed_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X1)
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1)
    | ~ unequally_directed_lines(X3,reverse_line(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk1_0))),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,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_14,c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X1)
    | unequally_directed_lines(esk1_0,reverse_line(X2))
    | unequally_directed_lines(X2,reverse_line(X1))
    | ~ unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_16]),c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),X1)
    | unequally_directed_lines(esk1_0,reverse_line(X1)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_10]),c_0_18]) ).

cnf(c_0_20,negated_conjecture,
    unequally_directed_lines(esk1_0,reverse_line(reverse_line(reverse_line(esk1_0)))),
    inference(spm,[status(thm)],[c_0_12,c_0_19]) ).

cnf(c_0_21,negated_conjecture,
    ( unequally_directed_lines(reverse_line(reverse_line(esk1_0)),reverse_line(X1))
    | unequally_directed_lines(esk1_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_15])]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_21]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n009.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Oct  3 06:48:44 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  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.UdEvrsTSwB/E---3.1_23632.p
% 0.15/0.41  # Version: 3.1pre001
% 0.15/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # Starting sh5l with 300s (1) cores
% 0.15/0.41  # new_bool_3 with pid 23711 completed with status 0
% 0.15/0.41  # Result found by new_bool_3
% 0.15/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.41  # Search class: FGUNF-FFSF11-SFFFFFNN
% 0.15/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting SAT001_CO_MinMin_p005000_rr with 181s (1) cores
% 0.15/0.41  # SAT001_CO_MinMin_p005000_rr with pid 23714 completed with status 0
% 0.15/0.41  # Result found by SAT001_CO_MinMin_p005000_rr
% 0.15/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.41  # Search class: FGUNF-FFSF11-SFFFFFNN
% 0.15/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting SAT001_CO_MinMin_p005000_rr with 181s (1) cores
% 0.15/0.41  # Preprocessing time       : 0.001 s
% 0.15/0.41  # Presaturation interreduction done
% 0.15/0.41  
% 0.15/0.41  # Proof found!
% 0.15/0.41  # SZS status Theorem
% 0.15/0.41  # SZS output start CNFRefutation
% See solution above
% 0.15/0.41  # Parsed axioms                        : 32
% 0.15/0.41  # Removed by relevancy pruning/SinE    : 28
% 0.15/0.41  # Initial clauses                      : 7
% 0.15/0.41  # Removed in clause preprocessing      : 0
% 0.15/0.41  # Initial clauses in saturation        : 7
% 0.15/0.41  # Processed clauses                    : 29
% 0.15/0.41  # ...of these trivial                  : 0
% 0.15/0.41  # ...subsumed                          : 6
% 0.15/0.41  # ...remaining for further processing  : 23
% 0.15/0.41  # Other redundant clauses eliminated   : 0
% 0.15/0.41  # Clauses deleted for lack of memory   : 0
% 0.15/0.41  # Backward-subsumed                    : 2
% 0.15/0.41  # Backward-rewritten                   : 0
% 0.15/0.41  # Generated clauses                    : 64
% 0.15/0.41  # ...of the previous two non-redundant : 54
% 0.15/0.41  # ...aggressively subsumed             : 0
% 0.15/0.41  # Contextual simplify-reflections      : 1
% 0.15/0.41  # Paramodulations                      : 62
% 0.15/0.41  # Factorizations                       : 2
% 0.15/0.41  # NegExts                              : 0
% 0.15/0.41  # Equation resolutions                 : 0
% 0.15/0.41  # Total rewrite steps                  : 8
% 0.15/0.41  # Propositional unsat checks           : 0
% 0.15/0.41  #    Propositional check models        : 0
% 0.15/0.41  #    Propositional check unsatisfiable : 0
% 0.15/0.41  #    Propositional clauses             : 0
% 0.15/0.41  #    Propositional clauses after purity: 0
% 0.15/0.41  #    Propositional unsat core size     : 0
% 0.15/0.41  #    Propositional preprocessing time  : 0.000
% 0.15/0.41  #    Propositional encoding time       : 0.000
% 0.15/0.41  #    Propositional solver time         : 0.000
% 0.15/0.41  #    Success case prop preproc time    : 0.000
% 0.15/0.41  #    Success case prop encoding time   : 0.000
% 0.15/0.41  #    Success case prop solver time     : 0.000
% 0.15/0.41  # Current number of processed clauses  : 16
% 0.15/0.41  #    Positive orientable unit clauses  : 3
% 0.15/0.41  #    Positive unorientable unit clauses: 0
% 0.15/0.41  #    Negative unit clauses             : 2
% 0.15/0.41  #    Non-unit-clauses                  : 11
% 0.15/0.41  # Current number of unprocessed clauses: 30
% 0.15/0.41  # ...number of literals in the above   : 125
% 0.15/0.41  # Current number of archived formulas  : 0
% 0.15/0.41  # Current number of archived clauses   : 7
% 0.15/0.41  # Clause-clause subsumption calls (NU) : 107
% 0.15/0.41  # Rec. Clause-clause subsumption calls : 86
% 0.15/0.41  # Non-unit clause-clause subsumptions  : 7
% 0.15/0.41  # Unit Clause-clause subsumption calls : 8
% 0.15/0.41  # Rewrite failures with RHS unbound    : 0
% 0.15/0.41  # BW rewrite match attempts            : 1
% 0.15/0.41  # BW rewrite match successes           : 0
% 0.15/0.41  # Condensation attempts                : 29
% 0.15/0.41  # Condensation successes               : 0
% 0.15/0.41  # Termbank termtop insertions          : 1812
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.004 s
% 0.15/0.41  # System time              : 0.001 s
% 0.15/0.41  # Total time               : 0.005 s
% 0.15/0.41  # Maximum resident set size: 1760 pages
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.006 s
% 0.15/0.41  # System time              : 0.003 s
% 0.15/0.41  # Total time               : 0.009 s
% 0.15/0.41  # Maximum resident set size: 1712 pages
% 0.15/0.41  % E---3.1 exiting
% 0.15/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------