TSTP Solution File: GEO208+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO208+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 17:32:07 EDT 2023

% Result   : Theorem 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   36 (  17   ~;   9   |;   7   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X1,X2,X3] :
      ( ( ~ apart_point_and_line(X1,X2)
        & ~ apart_point_and_line(X1,X3)
        & ~ convergent_lines(X2,X3) )
     => ~ distinct_lines(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.syH2Ev68Dt/E---3.1_24918.p',con) ).

fof(cup1,axiom,
    ! [X1,X2,X3] :
      ( distinct_lines(X2,X3)
     => ( apart_point_and_line(X1,X2)
        | apart_point_and_line(X1,X3)
        | convergent_lines(X2,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.syH2Ev68Dt/E---3.1_24918.p',cup1) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( ~ apart_point_and_line(X1,X2)
          & ~ apart_point_and_line(X1,X3)
          & ~ convergent_lines(X2,X3) )
       => ~ distinct_lines(X2,X3) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

fof(c_0_3,plain,
    ! [X23,X24,X25] :
      ( ~ distinct_lines(X24,X25)
      | apart_point_and_line(X23,X24)
      | apart_point_and_line(X23,X25)
      | convergent_lines(X24,X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cup1])]) ).

fof(c_0_4,negated_conjecture,
    ( ~ apart_point_and_line(esk1_0,esk2_0)
    & ~ apart_point_and_line(esk1_0,esk3_0)
    & ~ convergent_lines(esk2_0,esk3_0)
    & distinct_lines(esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,plain,
    ( apart_point_and_line(X3,X1)
    | apart_point_and_line(X3,X2)
    | convergent_lines(X1,X2)
    | ~ distinct_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    distinct_lines(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ~ convergent_lines(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    ( apart_point_and_line(X1,esk2_0)
    | apart_point_and_line(X1,esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO208+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Oct  3 07:05:52 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.syH2Ev68Dt/E---3.1_24918.p
% 0.21/0.52  # Version: 3.1pre001
% 0.21/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # new_bool_3 with pid 25051 completed with status 0
% 0.21/0.52  # Result found by new_bool_3
% 0.21/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.52  # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.21/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.52  # SAT001_MinMin_p005000_rr_RG with pid 25054 completed with status 0
% 0.21/0.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.52  # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.21/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.52  # Preprocessing time       : 0.002 s
% 0.21/0.52  # Presaturation interreduction done
% 0.21/0.52  
% 0.21/0.52  # Proof found!
% 0.21/0.52  # SZS status Theorem
% 0.21/0.52  # SZS output start CNFRefutation
% See solution above
% 0.21/0.52  # Parsed axioms                        : 18
% 0.21/0.52  # Removed by relevancy pruning/SinE    : 6
% 0.21/0.52  # Initial clauses                      : 15
% 0.21/0.52  # Removed in clause preprocessing      : 0
% 0.21/0.52  # Initial clauses in saturation        : 15
% 0.21/0.52  # Processed clauses                    : 51
% 0.21/0.52  # ...of these trivial                  : 0
% 0.21/0.52  # ...subsumed                          : 11
% 0.21/0.52  # ...remaining for further processing  : 40
% 0.21/0.52  # Other redundant clauses eliminated   : 0
% 0.21/0.52  # Clauses deleted for lack of memory   : 0
% 0.21/0.52  # Backward-subsumed                    : 0
% 0.21/0.52  # Backward-rewritten                   : 0
% 0.21/0.52  # Generated clauses                    : 93
% 0.21/0.52  # ...of the previous two non-redundant : 65
% 0.21/0.52  # ...aggressively subsumed             : 0
% 0.21/0.52  # Contextual simplify-reflections      : 0
% 0.21/0.52  # Paramodulations                      : 67
% 0.21/0.52  # Factorizations                       : 26
% 0.21/0.52  # NegExts                              : 0
% 0.21/0.52  # Equation resolutions                 : 0
% 0.21/0.52  # Total rewrite steps                  : 25
% 0.21/0.52  # Propositional unsat checks           : 0
% 0.21/0.52  #    Propositional check models        : 0
% 0.21/0.52  #    Propositional check unsatisfiable : 0
% 0.21/0.52  #    Propositional clauses             : 0
% 0.21/0.52  #    Propositional clauses after purity: 0
% 0.21/0.52  #    Propositional unsat core size     : 0
% 0.21/0.52  #    Propositional preprocessing time  : 0.000
% 0.21/0.52  #    Propositional encoding time       : 0.000
% 0.21/0.52  #    Propositional solver time         : 0.000
% 0.21/0.52  #    Success case prop preproc time    : 0.000
% 0.21/0.52  #    Success case prop encoding time   : 0.000
% 0.21/0.52  #    Success case prop solver time     : 0.000
% 0.21/0.52  # Current number of processed clauses  : 25
% 0.21/0.52  #    Positive orientable unit clauses  : 2
% 0.21/0.52  #    Positive unorientable unit clauses: 0
% 0.21/0.52  #    Negative unit clauses             : 6
% 0.21/0.52  #    Non-unit-clauses                  : 17
% 0.21/0.52  # Current number of unprocessed clauses: 44
% 0.21/0.52  # ...number of literals in the above   : 196
% 0.21/0.52  # Current number of archived formulas  : 0
% 0.21/0.52  # Current number of archived clauses   : 15
% 0.21/0.52  # Clause-clause subsumption calls (NU) : 119
% 0.21/0.52  # Rec. Clause-clause subsumption calls : 75
% 0.21/0.52  # Non-unit clause-clause subsumptions  : 11
% 0.21/0.52  # Unit Clause-clause subsumption calls : 4
% 0.21/0.52  # Rewrite failures with RHS unbound    : 0
% 0.21/0.52  # BW rewrite match attempts            : 0
% 0.21/0.52  # BW rewrite match successes           : 0
% 0.21/0.52  # Condensation attempts                : 0
% 0.21/0.52  # Condensation successes               : 0
% 0.21/0.52  # Termbank termtop insertions          : 1786
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.010 s
% 0.21/0.52  # System time              : 0.002 s
% 0.21/0.52  # Total time               : 0.012 s
% 0.21/0.52  # Maximum resident set size: 1708 pages
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.013 s
% 0.21/0.52  # System time              : 0.004 s
% 0.21/0.52  # Total time               : 0.017 s
% 0.21/0.52  # Maximum resident set size: 1700 pages
% 0.21/0.52  % E---3.1 exiting
% 0.21/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------