TSTP Solution File: GEO258+3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:45:22 EDT 2024

% Result   : Theorem 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :   69 (  27   ~;  31   |;   8   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   40 (   2 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X4,X3,X6,X7] :
      ( between_on_line(X4,X3,X6,X7)
     => between_on_line(X4,X7,X6,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.thdtoSClAn/E---3.1_8323.p',con) ).

fof(a9_defns,axiom,
    ! [X4,X3,X6,X7] :
      ( between_on_line(X4,X3,X6,X7)
    <=> ( ( before_on_line(X4,X3,X6)
          & before_on_line(X4,X6,X7) )
        | ( before_on_line(X4,X7,X6)
          & before_on_line(X4,X6,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.thdtoSClAn/E---3.1_8323.p',a9_defns) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X4,X3,X6,X7] :
        ( between_on_line(X4,X3,X6,X7)
       => between_on_line(X4,X7,X6,X3) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_3,negated_conjecture,
    ( between_on_line(esk1_0,esk2_0,esk3_0,esk4_0)
    & ~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

fof(c_0_4,plain,
    ! [X13,X14,X15,X16] :
      ( ( before_on_line(X13,X16,X15)
        | before_on_line(X13,X14,X15)
        | ~ between_on_line(X13,X14,X15,X16) )
      & ( before_on_line(X13,X15,X14)
        | before_on_line(X13,X14,X15)
        | ~ between_on_line(X13,X14,X15,X16) )
      & ( before_on_line(X13,X16,X15)
        | before_on_line(X13,X15,X16)
        | ~ between_on_line(X13,X14,X15,X16) )
      & ( before_on_line(X13,X15,X14)
        | before_on_line(X13,X15,X16)
        | ~ between_on_line(X13,X14,X15,X16) )
      & ( ~ before_on_line(X13,X14,X15)
        | ~ before_on_line(X13,X15,X16)
        | between_on_line(X13,X14,X15,X16) )
      & ( ~ before_on_line(X13,X16,X15)
        | ~ before_on_line(X13,X15,X14)
        | between_on_line(X13,X14,X15,X16) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a9_defns])])])]) ).

cnf(c_0_5,negated_conjecture,
    ~ between_on_line(esk1_0,esk4_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( between_on_line(X1,X2,X3,X4)
    | ~ before_on_line(X1,X2,X3)
    | ~ before_on_line(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    between_on_line(esk1_0,esk2_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X4,X3)
    | ~ between_on_line(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( between_on_line(X1,X4,X3,X2)
    | ~ before_on_line(X1,X2,X3)
    | ~ before_on_line(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ before_on_line(esk1_0,esk3_0,esk2_0)
    | ~ before_on_line(esk1_0,esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( before_on_line(esk1_0,esk4_0,esk3_0)
    | before_on_line(esk1_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ( before_on_line(esk1_0,esk4_0,esk3_0)
    | before_on_line(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ before_on_line(esk1_0,esk3_0,esk4_0)
    | ~ before_on_line(esk1_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_5,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ( before_on_line(esk1_0,esk3_0,esk4_0)
    | ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    ( before_on_line(esk1_0,esk2_0,esk3_0)
    | ~ before_on_line(esk1_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

cnf(c_0_17,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X3,X2)
    | ~ between_on_line(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,negated_conjecture,
    ~ before_on_line(esk1_0,esk3_0,esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    before_on_line(esk1_0,esk2_0,esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_8]),c_0_18]) ).

cnf(c_0_20,plain,
    ( before_on_line(X1,X2,X3)
    | before_on_line(X1,X2,X4)
    | ~ between_on_line(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_21,negated_conjecture,
    ~ before_on_line(esk1_0,esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_19])]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_8]),c_0_21]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem    : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.09  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n019.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Fri May  3 18:44:07 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.14/0.39  Running first-order model finding
% 0.14/0.39  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.thdtoSClAn/E---3.1_8323.p
% 0.14/0.40  # Version: 3.1.0
% 0.14/0.40  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.40  # Starting sh5l with 300s (1) cores
% 0.14/0.40  # new_bool_3 with pid 8401 completed with status 0
% 0.14/0.40  # Result found by new_bool_3
% 0.14/0.40  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.40  # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.14/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.40  # SAT001_MinMin_p005000_rr_RG with pid 8404 completed with status 0
% 0.14/0.40  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.14/0.40  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.40  # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.14/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.14/0.40  # Preprocessing time       : 0.001 s
% 0.14/0.40  # Presaturation interreduction done
% 0.14/0.40  
% 0.14/0.40  # Proof found!
% 0.14/0.40  # SZS status Theorem
% 0.14/0.40  # SZS output start CNFRefutation
% See solution above
% 0.14/0.40  # Parsed axioms                        : 37
% 0.14/0.40  # Removed by relevancy pruning/SinE    : 35
% 0.14/0.40  # Initial clauses                      : 8
% 0.14/0.40  # Removed in clause preprocessing      : 0
% 0.14/0.40  # Initial clauses in saturation        : 8
% 0.14/0.40  # Processed clauses                    : 27
% 0.14/0.40  # ...of these trivial                  : 0
% 0.14/0.40  # ...subsumed                          : 0
% 0.14/0.40  # ...remaining for further processing  : 26
% 0.14/0.40  # Other redundant clauses eliminated   : 0
% 0.14/0.40  # Clauses deleted for lack of memory   : 0
% 0.14/0.40  # Backward-subsumed                    : 3
% 0.14/0.40  # Backward-rewritten                   : 2
% 0.14/0.40  # Generated clauses                    : 18
% 0.14/0.40  # ...of the previous two non-redundant : 11
% 0.14/0.40  # ...aggressively subsumed             : 0
% 0.14/0.40  # Contextual simplify-reflections      : 1
% 0.14/0.40  # Paramodulations                      : 17
% 0.14/0.40  # Factorizations                       : 0
% 0.14/0.40  # NegExts                              : 0
% 0.14/0.40  # Equation resolutions                 : 0
% 0.14/0.40  # Disequality decompositions           : 0
% 0.14/0.40  # Total rewrite steps                  : 2
% 0.14/0.40  # ...of those cached                   : 1
% 0.14/0.40  # Propositional unsat checks           : 0
% 0.14/0.40  #    Propositional check models        : 0
% 0.14/0.40  #    Propositional check unsatisfiable : 0
% 0.14/0.40  #    Propositional clauses             : 0
% 0.14/0.40  #    Propositional clauses after purity: 0
% 0.14/0.40  #    Propositional unsat core size     : 0
% 0.14/0.40  #    Propositional preprocessing time  : 0.000
% 0.14/0.40  #    Propositional encoding time       : 0.000
% 0.14/0.40  #    Propositional solver time         : 0.000
% 0.14/0.40  #    Success case prop preproc time    : 0.000
% 0.14/0.40  #    Success case prop encoding time   : 0.000
% 0.14/0.40  #    Success case prop solver time     : 0.000
% 0.14/0.40  # Current number of processed clauses  : 12
% 0.14/0.40  #    Positive orientable unit clauses  : 3
% 0.14/0.40  #    Positive unorientable unit clauses: 0
% 0.14/0.40  #    Negative unit clauses             : 3
% 0.14/0.40  #    Non-unit-clauses                  : 6
% 0.14/0.40  # Current number of unprocessed clauses: 0
% 0.14/0.40  # ...number of literals in the above   : 0
% 0.14/0.40  # Current number of archived formulas  : 0
% 0.14/0.40  # Current number of archived clauses   : 14
% 0.14/0.40  # Clause-clause subsumption calls (NU) : 35
% 0.14/0.40  # Rec. Clause-clause subsumption calls : 35
% 0.14/0.40  # Non-unit clause-clause subsumptions  : 1
% 0.14/0.40  # Unit Clause-clause subsumption calls : 4
% 0.14/0.40  # Rewrite failures with RHS unbound    : 0
% 0.14/0.40  # BW rewrite match attempts            : 1
% 0.14/0.40  # BW rewrite match successes           : 1
% 0.14/0.40  # Condensation attempts                : 0
% 0.14/0.40  # Condensation successes               : 0
% 0.14/0.40  # Termbank termtop insertions          : 1023
% 0.14/0.40  # Search garbage collected termcells   : 385
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.003 s
% 0.14/0.40  # System time              : 0.001 s
% 0.14/0.40  # Total time               : 0.004 s
% 0.14/0.40  # Maximum resident set size: 1732 pages
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.004 s
% 0.14/0.40  # System time              : 0.003 s
% 0.14/0.40  # Total time               : 0.007 s
% 0.14/0.40  # Maximum resident set size: 1744 pages
% 0.14/0.40  % E---3.1 exiting
%------------------------------------------------------------------------------