TSTP Solution File: GEO171+3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% 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 17:31:50 EDT 2023

% Result   : Theorem 0.22s 0.51s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  11   ~;  10   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   26 (   0 sgn;  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
     => distinct_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkOfsEFNnP/E---3.1_25272.p',con) ).

fof(ceq3,axiom,
    ! [X1,X2,X3] :
      ( convergent_lines(X1,X2)
     => ( distinct_lines(X2,X3)
        | convergent_lines(X1,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkOfsEFNnP/E---3.1_25272.p',ceq3) ).

fof(apart3,axiom,
    ! [X1] : ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.WkOfsEFNnP/E---3.1_25272.p',apart3) ).

fof(p1,axiom,
    ! [X1,X2] :
      ( distinct_lines(X1,X2)
     => convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.WkOfsEFNnP/E---3.1_25272.p',p1) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X2] :
        ( convergent_lines(X1,X2)
       => distinct_lines(X1,X2) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_5,plain,
    ! [X24,X25,X26] :
      ( ~ convergent_lines(X24,X25)
      | distinct_lines(X25,X26)
      | convergent_lines(X24,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ceq3])]) ).

fof(c_0_6,negated_conjecture,
    ( convergent_lines(esk1_0,esk2_0)
    & ~ distinct_lines(esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_7,plain,
    ! [X1] : ~ convergent_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[apart3]) ).

fof(c_0_8,plain,
    ! [X27,X28] :
      ( ~ distinct_lines(X27,X28)
      | convergent_lines(X27,X28) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])]) ).

cnf(c_0_9,plain,
    ( distinct_lines(X2,X3)
    | convergent_lines(X1,X3)
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    convergent_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ! [X36] : ~ convergent_lines(X36,X36),
    inference(variable_rename,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( convergent_lines(X1,X2)
    | ~ distinct_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ( convergent_lines(esk1_0,X1)
    | distinct_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ( convergent_lines(esk1_0,X1)
    | convergent_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    convergent_lines(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    ~ distinct_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_18,negated_conjecture,
    ( convergent_lines(esk2_0,X1)
    | distinct_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO171+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 06:59:20 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  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.WkOfsEFNnP/E---3.1_25272.p
% 0.22/0.51  # Version: 3.1pre001
% 0.22/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # Starting sh5l with 300s (1) cores
% 0.22/0.51  # new_bool_3 with pid 25351 completed with status 0
% 0.22/0.51  # Result found by new_bool_3
% 0.22/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGUNF-FFMF00-SFFFFFNN
% 0.22/0.51  # partial match(1): FGUNF-FFSF00-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51  # SAT001_MinMin_p005000_rr_RG with pid 25354 completed with status 0
% 0.22/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGUNF-FFMF00-SFFFFFNN
% 0.22/0.51  # partial match(1): FGUNF-FFSF00-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.51  # Preprocessing time       : 0.001 s
% 0.22/0.51  # Presaturation interreduction done
% 0.22/0.51  
% 0.22/0.51  # Proof found!
% 0.22/0.51  # SZS status Theorem
% 0.22/0.51  # SZS output start CNFRefutation
% See solution above
% 0.22/0.51  # Parsed axioms                        : 36
% 0.22/0.51  # Removed by relevancy pruning/SinE    : 17
% 0.22/0.51  # Initial clauses                      : 26
% 0.22/0.51  # Removed in clause preprocessing      : 0
% 0.22/0.51  # Initial clauses in saturation        : 26
% 0.22/0.51  # Processed clauses                    : 40
% 0.22/0.51  # ...of these trivial                  : 0
% 0.22/0.51  # ...subsumed                          : 4
% 0.22/0.51  # ...remaining for further processing  : 36
% 0.22/0.51  # Other redundant clauses eliminated   : 0
% 0.22/0.51  # Clauses deleted for lack of memory   : 0
% 0.22/0.51  # Backward-subsumed                    : 0
% 0.22/0.51  # Backward-rewritten                   : 0
% 0.22/0.51  # Generated clauses                    : 11
% 0.22/0.51  # ...of the previous two non-redundant : 8
% 0.22/0.51  # ...aggressively subsumed             : 0
% 0.22/0.51  # Contextual simplify-reflections      : 0
% 0.22/0.51  # Paramodulations                      : 11
% 0.22/0.51  # Factorizations                       : 0
% 0.22/0.51  # NegExts                              : 0
% 0.22/0.51  # Equation resolutions                 : 0
% 0.22/0.51  # Total rewrite steps                  : 2
% 0.22/0.51  # Propositional unsat checks           : 0
% 0.22/0.51  #    Propositional check models        : 0
% 0.22/0.51  #    Propositional check unsatisfiable : 0
% 0.22/0.51  #    Propositional clauses             : 0
% 0.22/0.51  #    Propositional clauses after purity: 0
% 0.22/0.51  #    Propositional unsat core size     : 0
% 0.22/0.51  #    Propositional preprocessing time  : 0.000
% 0.22/0.51  #    Propositional encoding time       : 0.000
% 0.22/0.51  #    Propositional solver time         : 0.000
% 0.22/0.51  #    Success case prop preproc time    : 0.000
% 0.22/0.51  #    Success case prop encoding time   : 0.000
% 0.22/0.51  #    Success case prop solver time     : 0.000
% 0.22/0.51  # Current number of processed clauses  : 14
% 0.22/0.51  #    Positive orientable unit clauses  : 2
% 0.22/0.51  #    Positive unorientable unit clauses: 0
% 0.22/0.51  #    Negative unit clauses             : 4
% 0.22/0.51  #    Non-unit-clauses                  : 8
% 0.22/0.51  # Current number of unprocessed clauses: 14
% 0.22/0.51  # ...number of literals in the above   : 53
% 0.22/0.51  # Current number of archived formulas  : 0
% 0.22/0.51  # Current number of archived clauses   : 22
% 0.22/0.51  # Clause-clause subsumption calls (NU) : 45
% 0.22/0.51  # Rec. Clause-clause subsumption calls : 45
% 0.22/0.51  # Non-unit clause-clause subsumptions  : 4
% 0.22/0.51  # Unit Clause-clause subsumption calls : 7
% 0.22/0.51  # Rewrite failures with RHS unbound    : 0
% 0.22/0.51  # BW rewrite match attempts            : 0
% 0.22/0.51  # BW rewrite match successes           : 0
% 0.22/0.51  # Condensation attempts                : 0
% 0.22/0.51  # Condensation successes               : 0
% 0.22/0.51  # Termbank termtop insertions          : 1888
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.004 s
% 0.22/0.51  # System time              : 0.004 s
% 0.22/0.51  # Total time               : 0.008 s
% 0.22/0.51  # Maximum resident set size: 1892 pages
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.006 s
% 0.22/0.51  # System time              : 0.006 s
% 0.22/0.51  # Total time               : 0.012 s
% 0.22/0.51  # Maximum resident set size: 1712 pages
% 0.22/0.51  % E---3.1 exiting
% 0.22/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------