TSTP Solution File: GEO226+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO226+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 17:34:32 EDT 2023

% Result   : Theorem 0.20s 0.52s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   2 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   43 (  18   ~;   7   |;  10   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn;  17   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ci4,axiom,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.PMwJSsyIuk/E---3.1_30579.p',ci4) ).

fof(con,conjecture,
    ! [X8,X9] :
      ( ( line(X8)
        & line(X9)
        & convergent_lines(X8,X9) )
     => ? [X1] :
          ( point(X1)
         => ( ~ apart_point_and_line(X1,X8)
            & ~ apart_point_and_line(X1,X9) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.PMwJSsyIuk/E---3.1_30579.p',con) ).

fof(ci3,axiom,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.PMwJSsyIuk/E---3.1_30579.p',ci3) ).

fof(c_0_3,plain,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    inference(fof_simplification,[status(thm)],[ci4]) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X8,X9] :
        ( ( line(X8)
          & line(X9)
          & convergent_lines(X8,X9) )
       => ? [X1] :
            ( point(X1)
           => ( ~ apart_point_and_line(X1,X8)
              & ~ apart_point_and_line(X1,X9) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

fof(c_0_5,plain,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    inference(fof_simplification,[status(thm)],[ci3]) ).

fof(c_0_6,plain,
    ! [X19,X20] :
      ( ~ convergent_lines(X19,X20)
      | ~ apart_point_and_line(intersection_point(X19,X20),X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

fof(c_0_7,negated_conjecture,
    ! [X12] :
      ( line(esk1_0)
      & line(esk2_0)
      & convergent_lines(esk1_0,esk2_0)
      & point(X12)
      & ( apart_point_and_line(X12,esk1_0)
        | apart_point_and_line(X12,esk2_0) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

fof(c_0_8,plain,
    ! [X17,X18] :
      ( ~ convergent_lines(X17,X18)
      | ~ apart_point_and_line(intersection_point(X17,X18),X17) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

cnf(c_0_9,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    ( apart_point_and_line(X1,esk1_0)
    | apart_point_and_line(X1,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( apart_point_and_line(intersection_point(X1,esk2_0),esk1_0)
    | ~ convergent_lines(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    convergent_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO226+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Oct  3 06:49:44 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.20/0.50  Running first-order model finding
% 0.20/0.50  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.PMwJSsyIuk/E---3.1_30579.p
% 0.20/0.52  # Version: 3.1pre001
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # Starting sh5l with 300s (1) cores
% 0.20/0.52  # sh5l with pid 30659 completed with status 0
% 0.20/0.52  # Result found by sh5l
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # Starting sh5l with 300s (1) cores
% 0.20/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.52  # Search class: FGHNF-FFSS22-SFFFFFNN
% 0.20/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.52  # SAT001_MinMin_p005000_rr_RG with pid 30662 completed with status 0
% 0.20/0.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # Starting sh5l with 300s (1) cores
% 0.20/0.52  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.52  # Search class: FGHNF-FFSS22-SFFFFFNN
% 0.20/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.52  # Preprocessing time       : 0.002 s
% 0.20/0.52  # Presaturation interreduction done
% 0.20/0.52  
% 0.20/0.52  # Proof found!
% 0.20/0.52  # SZS status Theorem
% 0.20/0.52  # SZS output start CNFRefutation
% See solution above
% 0.20/0.52  # Parsed axioms                        : 19
% 0.20/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.52  # Initial clauses                      : 23
% 0.20/0.52  # Removed in clause preprocessing      : 0
% 0.20/0.52  # Initial clauses in saturation        : 23
% 0.20/0.52  # Processed clauses                    : 38
% 0.20/0.52  # ...of these trivial                  : 1
% 0.20/0.52  # ...subsumed                          : 0
% 0.20/0.52  # ...remaining for further processing  : 37
% 0.20/0.52  # Other redundant clauses eliminated   : 0
% 0.20/0.52  # Clauses deleted for lack of memory   : 0
% 0.20/0.52  # Backward-subsumed                    : 0
% 0.20/0.52  # Backward-rewritten                   : 0
% 0.20/0.52  # Generated clauses                    : 3
% 0.20/0.52  # ...of the previous two non-redundant : 2
% 0.20/0.52  # ...aggressively subsumed             : 0
% 0.20/0.52  # Contextual simplify-reflections      : 0
% 0.20/0.52  # Paramodulations                      : 3
% 0.20/0.52  # Factorizations                       : 0
% 0.20/0.52  # NegExts                              : 0
% 0.20/0.52  # Equation resolutions                 : 0
% 0.20/0.52  # Total rewrite steps                  : 6
% 0.20/0.52  # Propositional unsat checks           : 0
% 0.20/0.52  #    Propositional check models        : 0
% 0.20/0.52  #    Propositional check unsatisfiable : 0
% 0.20/0.52  #    Propositional clauses             : 0
% 0.20/0.52  #    Propositional clauses after purity: 0
% 0.20/0.52  #    Propositional unsat core size     : 0
% 0.20/0.52  #    Propositional preprocessing time  : 0.000
% 0.20/0.52  #    Propositional encoding time       : 0.000
% 0.20/0.52  #    Propositional solver time         : 0.000
% 0.20/0.52  #    Success case prop preproc time    : 0.000
% 0.20/0.52  #    Success case prop encoding time   : 0.000
% 0.20/0.52  #    Success case prop solver time     : 0.000
% 0.20/0.52  # Current number of processed clauses  : 15
% 0.20/0.52  #    Positive orientable unit clauses  : 4
% 0.20/0.52  #    Positive unorientable unit clauses: 0
% 0.20/0.52  #    Negative unit clauses             : 3
% 0.20/0.52  #    Non-unit-clauses                  : 8
% 0.20/0.52  # Current number of unprocessed clauses: 8
% 0.20/0.52  # ...number of literals in the above   : 26
% 0.20/0.52  # Current number of archived formulas  : 0
% 0.20/0.52  # Current number of archived clauses   : 22
% 0.20/0.52  # Clause-clause subsumption calls (NU) : 23
% 0.20/0.52  # Rec. Clause-clause subsumption calls : 15
% 0.20/0.52  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.52  # Unit Clause-clause subsumption calls : 0
% 0.20/0.52  # Rewrite failures with RHS unbound    : 0
% 0.20/0.52  # BW rewrite match attempts            : 0
% 0.20/0.52  # BW rewrite match successes           : 0
% 0.20/0.52  # Condensation attempts                : 0
% 0.20/0.52  # Condensation successes               : 0
% 0.20/0.52  # Termbank termtop insertions          : 1530
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.006 s
% 0.20/0.52  # System time              : 0.003 s
% 0.20/0.52  # Total time               : 0.008 s
% 0.20/0.52  # Maximum resident set size: 1692 pages
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.009 s
% 0.20/0.52  # System time              : 0.003 s
% 0.20/0.52  # Total time               : 0.012 s
% 0.20/0.52  # Maximum resident set size: 1692 pages
% 0.20/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------