TSTP Solution File: GEO263+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO263+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 17:34:42 EDT 2023

% Result   : Theorem 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   5 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   52 (  18   ~;  15   |;  15   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   34 (   2 sgn;  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X2,X3,X6,X1,X4,X5] :
      ( ( between_on_line(X2,X1,X4,X5)
        & convergent_lines(X2,X3)
        & convergent_lines(X2,X6)
        & convergent_lines(X3,X6) )
     => between_on_line(X3,intersection_point(X3,parallel_through_point(X6,X1)),intersection_point(X3,parallel_through_point(X6,X4)),intersection_point(X3,parallel_through_point(X6,X5))) ),
    file('/export/starexec/sandbox/tmp/tmp.48jTkIA9tw/E---3.1_27107.p',con) ).

fof(oag9,axiom,
    ! [X2,X3] :
      ( ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) )
     => ( left_convergent_lines(X2,X3)
        | left_convergent_lines(X2,reverse_line(X3)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.48jTkIA9tw/E---3.1_27107.p',oag9) ).

fof(oag11,axiom,
    ! [X2,X3] :
      ~ ( left_convergent_lines(X2,X3)
        | left_convergent_lines(X2,reverse_line(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.48jTkIA9tw/E---3.1_27107.p',oag11) ).

fof(con_def,axiom,
    ! [X2,X3] :
      ( convergent_lines(X2,X3)
    <=> ( unequally_directed_lines(X2,X3)
        & unequally_directed_lines(X2,reverse_line(X3)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.48jTkIA9tw/E---3.1_27107.p',con_def) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X2,X3,X6,X1,X4,X5] :
        ( ( between_on_line(X2,X1,X4,X5)
          & convergent_lines(X2,X3)
          & convergent_lines(X2,X6)
          & convergent_lines(X3,X6) )
       => between_on_line(X3,intersection_point(X3,parallel_through_point(X6,X1)),intersection_point(X3,parallel_through_point(X6,X4)),intersection_point(X3,parallel_through_point(X6,X5))) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_5,plain,
    ! [X43,X44] :
      ( ~ unequally_directed_lines(X43,X44)
      | ~ unequally_directed_lines(X43,reverse_line(X44))
      | left_convergent_lines(X43,X44)
      | left_convergent_lines(X43,reverse_line(X44)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag9])]) ).

fof(c_0_6,plain,
    ! [X57,X58] :
      ( ~ left_convergent_lines(X57,X58)
      & ~ left_convergent_lines(X57,reverse_line(X58)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag11])]) ).

fof(c_0_7,plain,
    ! [X27,X28] :
      ( ( unequally_directed_lines(X27,X28)
        | ~ convergent_lines(X27,X28) )
      & ( unequally_directed_lines(X27,reverse_line(X28))
        | ~ convergent_lines(X27,X28) )
      & ( ~ unequally_directed_lines(X27,X28)
        | ~ unequally_directed_lines(X27,reverse_line(X28))
        | convergent_lines(X27,X28) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con_def])])]) ).

fof(c_0_8,negated_conjecture,
    ( between_on_line(esk1_0,esk4_0,esk5_0,esk6_0)
    & convergent_lines(esk1_0,esk2_0)
    & convergent_lines(esk1_0,esk3_0)
    & convergent_lines(esk2_0,esk3_0)
    & ~ between_on_line(esk2_0,intersection_point(esk2_0,parallel_through_point(esk3_0,esk4_0)),intersection_point(esk2_0,parallel_through_point(esk3_0,esk5_0)),intersection_point(esk2_0,parallel_through_point(esk3_0,esk6_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_9,plain,
    ( left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

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

cnf(c_0_12,negated_conjecture,
    convergent_lines(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( unequally_directed_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    unequally_directed_lines(esk2_0,reverse_line(esk3_0)),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    unequally_directed_lines(esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO263+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 06:34:20 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  Running first-order model finding
% 0.19/0.48  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.48jTkIA9tw/E---3.1_27107.p
% 0.19/0.50  # Version: 3.1pre001
% 0.19/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  # Starting sh5l with 300s (1) cores
% 0.19/0.50  # sh5l with pid 27187 completed with status 0
% 0.19/0.50  # Result found by sh5l
% 0.19/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  # Starting sh5l with 300s (1) cores
% 0.19/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50  # Search class: FGHNF-FFMS21-SFFFFFNN
% 0.19/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.50  # SAT001_MinMin_p005000_rr_RG with pid 27189 completed with status 0
% 0.19/0.50  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50  # Starting sh5l with 300s (1) cores
% 0.19/0.50  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50  # Search class: FGHNF-FFMS21-SFFFFFNN
% 0.19/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.50  # Preprocessing time       : 0.001 s
% 0.19/0.50  # Presaturation interreduction done
% 0.19/0.50  
% 0.19/0.50  # Proof found!
% 0.19/0.50  # SZS status Theorem
% 0.19/0.50  # SZS output start CNFRefutation
% See solution above
% 0.19/0.50  # Parsed axioms                        : 32
% 0.19/0.50  # Removed by relevancy pruning/SinE    : 1
% 0.19/0.50  # Initial clauses                      : 57
% 0.19/0.50  # Removed in clause preprocessing      : 0
% 0.19/0.50  # Initial clauses in saturation        : 57
% 0.19/0.50  # Processed clauses                    : 82
% 0.19/0.50  # ...of these trivial                  : 0
% 0.19/0.50  # ...subsumed                          : 16
% 0.19/0.50  # ...remaining for further processing  : 66
% 0.19/0.50  # Other redundant clauses eliminated   : 0
% 0.19/0.50  # Clauses deleted for lack of memory   : 0
% 0.19/0.50  # Backward-subsumed                    : 7
% 0.19/0.50  # Backward-rewritten                   : 0
% 0.19/0.50  # Generated clauses                    : 7
% 0.19/0.50  # ...of the previous two non-redundant : 6
% 0.19/0.50  # ...aggressively subsumed             : 0
% 0.19/0.50  # Contextual simplify-reflections      : 0
% 0.19/0.50  # Paramodulations                      : 7
% 0.19/0.50  # Factorizations                       : 0
% 0.19/0.50  # NegExts                              : 0
% 0.19/0.50  # Equation resolutions                 : 0
% 0.19/0.50  # Total rewrite steps                  : 1
% 0.19/0.50  # Propositional unsat checks           : 0
% 0.19/0.50  #    Propositional check models        : 0
% 0.19/0.50  #    Propositional check unsatisfiable : 0
% 0.19/0.50  #    Propositional clauses             : 0
% 0.19/0.50  #    Propositional clauses after purity: 0
% 0.19/0.50  #    Propositional unsat core size     : 0
% 0.19/0.50  #    Propositional preprocessing time  : 0.000
% 0.19/0.50  #    Propositional encoding time       : 0.000
% 0.19/0.50  #    Propositional solver time         : 0.000
% 0.19/0.50  #    Success case prop preproc time    : 0.000
% 0.19/0.50  #    Success case prop encoding time   : 0.000
% 0.19/0.50  #    Success case prop solver time     : 0.000
% 0.19/0.50  # Current number of processed clauses  : 25
% 0.19/0.50  #    Positive orientable unit clauses  : 8
% 0.19/0.50  #    Positive unorientable unit clauses: 0
% 0.19/0.50  #    Negative unit clauses             : 10
% 0.19/0.50  #    Non-unit-clauses                  : 7
% 0.19/0.50  # Current number of unprocessed clauses: 15
% 0.19/0.50  # ...number of literals in the above   : 42
% 0.19/0.50  # Current number of archived formulas  : 0
% 0.19/0.50  # Current number of archived clauses   : 41
% 0.19/0.50  # Clause-clause subsumption calls (NU) : 136
% 0.19/0.50  # Rec. Clause-clause subsumption calls : 98
% 0.19/0.50  # Non-unit clause-clause subsumptions  : 6
% 0.19/0.50  # Unit Clause-clause subsumption calls : 60
% 0.19/0.50  # Rewrite failures with RHS unbound    : 0
% 0.19/0.50  # BW rewrite match attempts            : 0
% 0.19/0.50  # BW rewrite match successes           : 0
% 0.19/0.50  # Condensation attempts                : 0
% 0.19/0.50  # Condensation successes               : 0
% 0.19/0.50  # Termbank termtop insertions          : 3382
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.007 s
% 0.19/0.50  # System time              : 0.001 s
% 0.19/0.50  # Total time               : 0.008 s
% 0.19/0.50  # Maximum resident set size: 1880 pages
% 0.19/0.50  
% 0.19/0.50  # -------------------------------------------------
% 0.19/0.50  # User time                : 0.010 s
% 0.19/0.50  # System time              : 0.002 s
% 0.19/0.50  # Total time               : 0.012 s
% 0.19/0.50  # Maximum resident set size: 1716 pages
% 0.19/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------