TSTP Solution File: GEO228+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 17:34:33 EDT 2023

% Result   : Theorem 0.23s 0.53s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   51 (  24   ~;  19   |;   5   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (   0 sgn;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X2,X3] :
      ( ~ convergent_lines(X2,X3)
    <=> ( ~ unequally_directed_lines(X2,X3)
        | ~ unequally_directed_lines(X2,reverse_line(X3)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.bVjYV3Eibl/E---3.1_2769.p',con) ).

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.bVjYV3Eibl/E---3.1_2769.p',con_def) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X2,X3] :
        ( ~ convergent_lines(X2,X3)
      <=> ( ~ unequally_directed_lines(X2,X3)
          | ~ unequally_directed_lines(X2,reverse_line(X3)) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]) ).

fof(c_0_3,plain,
    ! [X16,X17] :
      ( ( unequally_directed_lines(X16,X17)
        | ~ convergent_lines(X16,X17) )
      & ( unequally_directed_lines(X16,reverse_line(X17))
        | ~ convergent_lines(X16,X17) )
      & ( ~ unequally_directed_lines(X16,X17)
        | ~ unequally_directed_lines(X16,reverse_line(X17))
        | convergent_lines(X16,X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[con_def])])]) ).

fof(c_0_4,negated_conjecture,
    ( ( unequally_directed_lines(esk1_0,esk2_0)
      | convergent_lines(esk1_0,esk2_0) )
    & ( unequally_directed_lines(esk1_0,reverse_line(esk2_0))
      | convergent_lines(esk1_0,esk2_0) )
    & ( ~ convergent_lines(esk1_0,esk2_0)
      | ~ unequally_directed_lines(esk1_0,esk2_0)
      | ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

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

cnf(c_0_6,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk2_0)
    | convergent_lines(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ convergent_lines(esk1_0,esk2_0)
    | ~ unequally_directed_lines(esk1_0,esk2_0)
    | ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    unequally_directed_lines(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0))
    | ~ convergent_lines(esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).

cnf(c_0_10,plain,
    ( convergent_lines(X1,X2)
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    ( unequally_directed_lines(esk1_0,reverse_line(esk2_0))
    | convergent_lines(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,negated_conjecture,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_8])]) ).

cnf(c_0_13,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    convergent_lines(esk1_0,esk2_0),
    inference(sr,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.08/0.15  % Command    : run_E %s %d THM
% 0.14/0.37  % Computer : n020.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 2400
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Tue Oct  3 06:43:01 EDT 2023
% 0.14/0.37  % CPUTime    : 
% 0.23/0.52  Running first-order model finding
% 0.23/0.52  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.bVjYV3Eibl/E---3.1_2769.p
% 0.23/0.53  # Version: 3.1pre001
% 0.23/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53  # Starting sh5l with 300s (1) cores
% 0.23/0.53  # new_bool_3 with pid 2848 completed with status 0
% 0.23/0.53  # Result found by new_bool_3
% 0.23/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.53  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.23/0.53  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.53  # SAT001_MinMin_p005000_rr_RG with pid 2851 completed with status 0
% 0.23/0.53  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.23/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.53  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.23/0.53  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.53  # Preprocessing time       : 0.001 s
% 0.23/0.53  # Presaturation interreduction done
% 0.23/0.53  
% 0.23/0.53  # Proof found!
% 0.23/0.53  # SZS status Theorem
% 0.23/0.53  # SZS output start CNFRefutation
% See solution above
% 0.23/0.53  # Parsed axioms                        : 32
% 0.23/0.53  # Removed by relevancy pruning/SinE    : 27
% 0.23/0.53  # Initial clauses                      : 12
% 0.23/0.53  # Removed in clause preprocessing      : 0
% 0.23/0.53  # Initial clauses in saturation        : 12
% 0.23/0.53  # Processed clauses                    : 23
% 0.23/0.53  # ...of these trivial                  : 0
% 0.23/0.53  # ...subsumed                          : 2
% 0.23/0.53  # ...remaining for further processing  : 21
% 0.23/0.53  # Other redundant clauses eliminated   : 0
% 0.23/0.53  # Clauses deleted for lack of memory   : 0
% 0.23/0.53  # Backward-subsumed                    : 1
% 0.23/0.53  # Backward-rewritten                   : 2
% 0.23/0.53  # Generated clauses                    : 12
% 0.23/0.53  # ...of the previous two non-redundant : 6
% 0.23/0.53  # ...aggressively subsumed             : 0
% 0.23/0.53  # Contextual simplify-reflections      : 0
% 0.23/0.53  # Paramodulations                      : 11
% 0.23/0.53  # Factorizations                       : 0
% 0.23/0.53  # NegExts                              : 0
% 0.23/0.53  # Equation resolutions                 : 0
% 0.23/0.53  # Total rewrite steps                  : 4
% 0.23/0.53  # Propositional unsat checks           : 0
% 0.23/0.53  #    Propositional check models        : 0
% 0.23/0.53  #    Propositional check unsatisfiable : 0
% 0.23/0.53  #    Propositional clauses             : 0
% 0.23/0.53  #    Propositional clauses after purity: 0
% 0.23/0.53  #    Propositional unsat core size     : 0
% 0.23/0.53  #    Propositional preprocessing time  : 0.000
% 0.23/0.53  #    Propositional encoding time       : 0.000
% 0.23/0.53  #    Propositional solver time         : 0.000
% 0.23/0.53  #    Success case prop preproc time    : 0.000
% 0.23/0.53  #    Success case prop encoding time   : 0.000
% 0.23/0.53  #    Success case prop solver time     : 0.000
% 0.23/0.53  # Current number of processed clauses  : 7
% 0.23/0.53  #    Positive orientable unit clauses  : 2
% 0.23/0.53  #    Positive unorientable unit clauses: 0
% 0.23/0.53  #    Negative unit clauses             : 2
% 0.23/0.53  #    Non-unit-clauses                  : 3
% 0.23/0.53  # Current number of unprocessed clauses: 5
% 0.23/0.53  # ...number of literals in the above   : 14
% 0.23/0.53  # Current number of archived formulas  : 0
% 0.23/0.53  # Current number of archived clauses   : 14
% 0.23/0.53  # Clause-clause subsumption calls (NU) : 15
% 0.23/0.53  # Rec. Clause-clause subsumption calls : 15
% 0.23/0.53  # Non-unit clause-clause subsumptions  : 2
% 0.23/0.53  # Unit Clause-clause subsumption calls : 3
% 0.23/0.53  # Rewrite failures with RHS unbound    : 0
% 0.23/0.53  # BW rewrite match attempts            : 1
% 0.23/0.53  # BW rewrite match successes           : 1
% 0.23/0.53  # Condensation attempts                : 0
% 0.23/0.53  # Condensation successes               : 0
% 0.23/0.53  # Termbank termtop insertions          : 1150
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.004 s
% 0.23/0.53  # System time              : 0.002 s
% 0.23/0.53  # Total time               : 0.006 s
% 0.23/0.53  # Maximum resident set size: 1760 pages
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.006 s
% 0.23/0.53  # System time              : 0.004 s
% 0.23/0.53  # Total time               : 0.010 s
% 0.23/0.53  # Maximum resident set size: 1712 pages
% 0.23/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------