TSTP Solution File: NUM789_8 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM789_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 09:07:49 EDT 2024

% Result   : Theorem 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   50 (  29   ~;   7   |;   2   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_sort1,type,
    rat: $tType ).

tff(decl_22,type,
    x0: rat ).

tff(decl_23,type,
    y0: rat ).

tff(decl_24,type,
    less: ( rat * rat ) > $o ).

tff(decl_25,type,
    more: ( rat * rat ) > $o ).

tff(decl_26,type,
    is: ( rat * rat ) > $o ).

tff(satz81b,axiom,
    ! [X2: rat,X3: rat] :
      ~ ( ( is(X2,X3)
         => ~ more(X2,X3) )
       => ~ ~ ( ( more(X2,X3)
               => ~ less(X2,X3) )
             => ~ ( less(X2,X3)
                 => ~ is(X2,X3) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Moc228fKjU/E---3.1_4681.p',satz81b) ).

tff(satz81h,conjecture,
    ~ ( ~ more(x0,y0)
     => is(x0,y0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Moc228fKjU/E---3.1_4681.p',satz81h) ).

tff(l,axiom,
    less(x0,y0),
    file('/export/starexec/sandbox2/tmp/tmp.Moc228fKjU/E---3.1_4681.p',l) ).

tff(c_0_3,plain,
    ! [X2: rat,X3: rat] :
      ~ ( ( is(X2,X3)
         => ~ more(X2,X3) )
       => ~ ~ ( ( more(X2,X3)
               => ~ less(X2,X3) )
             => ~ ( less(X2,X3)
                 => ~ is(X2,X3) ) ) ),
    inference(fof_simplification,[status(thm)],[satz81b]) ).

tff(c_0_4,negated_conjecture,
    ~ ~ ( ~ more(x0,y0)
       => is(x0,y0) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz81h])]) ).

tff(c_0_5,plain,
    ! [X4: rat,X5: rat] :
      ( ( ~ is(X4,X5)
        | ~ more(X4,X5) )
      & ( ~ more(X4,X5)
        | ~ less(X4,X5) )
      & ( ~ less(X4,X5)
        | ~ is(X4,X5) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

tff(c_0_6,negated_conjecture,
    ( more(x0,y0)
    | is(x0,y0) ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

tcf(c_0_7,plain,
    ! [X2: rat,X3: rat] :
      ( ~ less(X2,X3)
      | ~ is(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

tcf(c_0_8,negated_conjecture,
    ( more(x0,y0)
    | is(x0,y0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

tcf(c_0_9,plain,
    less(x0,y0),
    inference(split_conjunct,[status(thm)],[l]) ).

tcf(c_0_10,plain,
    ! [X2: rat,X3: rat] :
      ( ~ more(X2,X3)
      | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

tcf(c_0_11,negated_conjecture,
    more(x0,y0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : NUM789_8 : TPTP v8.1.2. Released v8.0.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 09:21:25 EDT 2024
% 0.15/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  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.Moc228fKjU/E---3.1_4681.p
% 0.15/0.43  # Version: 3.1.0
% 0.15/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # new_bool_3 with pid 4761 completed with status 0
% 0.15/0.43  # Result found by new_bool_3
% 0.15/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.43  # SAT001_MinMin_p005000_rr_RG with pid 4764 completed with status 0
% 0.15/0.43  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.43  # Preprocessing time       : 0.001 s
% 0.15/0.43  # Presaturation interreduction done
% 0.15/0.43  
% 0.15/0.43  # Proof found!
% 0.15/0.43  # SZS status Theorem
% 0.15/0.43  # SZS output start CNFRefutation
% See solution above
% 0.15/0.43  # Parsed axioms                        : 10
% 0.15/0.43  # Removed by relevancy pruning/SinE    : 7
% 0.15/0.43  # Initial clauses                      : 5
% 0.15/0.43  # Removed in clause preprocessing      : 0
% 0.15/0.43  # Initial clauses in saturation        : 5
% 0.15/0.43  # Processed clauses                    : 11
% 0.15/0.43  # ...of these trivial                  : 0
% 0.15/0.43  # ...subsumed                          : 0
% 0.15/0.43  # ...remaining for further processing  : 11
% 0.15/0.43  # Other redundant clauses eliminated   : 0
% 0.15/0.43  # Clauses deleted for lack of memory   : 0
% 0.15/0.43  # Backward-subsumed                    : 0
% 0.15/0.43  # Backward-rewritten                   : 1
% 0.15/0.43  # Generated clauses                    : 3
% 0.15/0.43  # ...of the previous two non-redundant : 1
% 0.15/0.43  # ...aggressively subsumed             : 0
% 0.15/0.43  # Contextual simplify-reflections      : 0
% 0.15/0.43  # Paramodulations                      : 3
% 0.15/0.43  # Factorizations                       : 0
% 0.15/0.43  # NegExts                              : 0
% 0.15/0.43  # Equation resolutions                 : 0
% 0.15/0.43  # Disequality decompositions           : 0
% 0.15/0.43  # Total rewrite steps                  : 3
% 0.15/0.43  # ...of those cached                   : 1
% 0.15/0.43  # Propositional unsat checks           : 0
% 0.15/0.43  #    Propositional check models        : 0
% 0.15/0.43  #    Propositional check unsatisfiable : 0
% 0.15/0.43  #    Propositional clauses             : 0
% 0.15/0.43  #    Propositional clauses after purity: 0
% 0.15/0.43  #    Propositional unsat core size     : 0
% 0.15/0.43  #    Propositional preprocessing time  : 0.000
% 0.15/0.43  #    Propositional encoding time       : 0.000
% 0.15/0.43  #    Propositional solver time         : 0.000
% 0.15/0.43  #    Success case prop preproc time    : 0.000
% 0.15/0.43  #    Success case prop encoding time   : 0.000
% 0.15/0.43  #    Success case prop solver time     : 0.000
% 0.15/0.43  # Current number of processed clauses  : 5
% 0.15/0.43  #    Positive orientable unit clauses  : 2
% 0.15/0.43  #    Positive unorientable unit clauses: 0
% 0.15/0.43  #    Negative unit clauses             : 0
% 0.15/0.43  #    Non-unit-clauses                  : 3
% 0.15/0.43  # Current number of unprocessed clauses: 0
% 0.15/0.43  # ...number of literals in the above   : 0
% 0.15/0.43  # Current number of archived formulas  : 0
% 0.15/0.43  # Current number of archived clauses   : 6
% 0.15/0.43  # Clause-clause subsumption calls (NU) : 0
% 0.15/0.43  # Rec. Clause-clause subsumption calls : 0
% 0.15/0.43  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.43  # Unit Clause-clause subsumption calls : 0
% 0.15/0.43  # Rewrite failures with RHS unbound    : 0
% 0.15/0.43  # BW rewrite match attempts            : 1
% 0.15/0.43  # BW rewrite match successes           : 1
% 0.15/0.43  # Condensation attempts                : 0
% 0.15/0.43  # Condensation successes               : 0
% 0.15/0.43  # Termbank termtop insertions          : 372
% 0.15/0.43  # Search garbage collected termcells   : 60
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.003 s
% 0.15/0.43  # System time              : 0.000 s
% 0.15/0.43  # Total time               : 0.003 s
% 0.15/0.43  # Maximum resident set size: 1580 pages
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.006 s
% 0.15/0.43  # System time              : 0.000 s
% 0.15/0.43  # Total time               : 0.006 s
% 0.15/0.43  # Maximum resident set size: 1708 pages
% 0.15/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------