TSTP Solution File: NUM786_8 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUM786_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 : Tue May 21 01:17:17 EDT 2024

% Result   : Theorem 0.15s 0.41s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   26 (  15   ~;   4   |;   1   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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   :    8 (   0 sgn   8   !;   0   ?;   8   :)

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

tff(decl_22,type,
    x0: rat ).

tff(decl_23,type,
    y0: rat ).

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

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

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

tff(n,axiom,
    ~ more(x0,y0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).

tff(satz81a,axiom,
    ! [X2: rat,X3: rat] :
      ( ~ is(X2,X3)
     => ( ~ more(X2,X3)
       => less(X2,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81a) ).

tff(satz81e,conjecture,
    ( ~ less(x0,y0)
   => is(x0,y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz81e) ).

tff(c_0_3,plain,
    ~ more(x0,y0),
    inference(fof_simplification,[status(thm)],[n]) ).

tff(c_0_4,plain,
    ! [X2: rat,X3: rat] :
      ( ~ is(X2,X3)
     => ( ~ more(X2,X3)
       => less(X2,X3) ) ),
    inference(fof_simplification,[status(thm)],[satz81a]) ).

tff(c_0_5,negated_conjecture,
    ~ ( ~ less(x0,y0)
     => is(x0,y0) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz81e])]) ).

tff(c_0_6,plain,
    ~ more(x0,y0),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

tff(c_0_7,plain,
    ! [X4: rat,X5: rat] :
      ( is(X4,X5)
      | more(X4,X5)
      | less(X4,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

tff(c_0_8,negated_conjecture,
    ( ~ less(x0,y0)
    & ~ is(x0,y0) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

tcf(c_0_9,plain,
    ~ more(x0,y0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

tcf(c_0_10,plain,
    ! [X2: rat,X3: rat] :
      ( is(X2,X3)
      | more(X2,X3)
      | less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

tcf(c_0_11,negated_conjecture,
    ~ is(x0,y0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

tcf(c_0_12,negated_conjecture,
    ~ less(x0,y0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : NUM786_8 : TPTP v8.2.0. Released v8.0.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n014.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 05:59:37 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.15/0.41  # Version: 3.1.0
% 0.15/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # Starting sh5l with 300s (1) cores
% 0.15/0.41  # new_bool_1 with pid 22490 completed with status 0
% 0.15/0.41  # Result found by new_bool_1
% 0.15/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.41  # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.15/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.41  # SAT001_MinMin_p005000_rr_RG with pid 22493 completed with status 0
% 0.15/0.41  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.41  # Search class: FGUNF-FFSF00-SFFFFFNN
% 0.15/0.41  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.41  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.41  # Preprocessing time       : 0.001 s
% 0.15/0.41  # Presaturation interreduction done
% 0.15/0.41  
% 0.15/0.41  # Proof found!
% 0.15/0.41  # SZS status Theorem
% 0.15/0.41  # SZS output start CNFRefutation
% See solution above
% 0.15/0.41  # Parsed axioms                        : 10
% 0.15/0.41  # Removed by relevancy pruning/SinE    : 7
% 0.15/0.41  # Initial clauses                      : 4
% 0.15/0.41  # Removed in clause preprocessing      : 0
% 0.15/0.41  # Initial clauses in saturation        : 4
% 0.15/0.41  # Processed clauses                    : 8
% 0.15/0.41  # ...of these trivial                  : 0
% 0.15/0.41  # ...subsumed                          : 0
% 0.15/0.41  # ...remaining for further processing  : 8
% 0.15/0.41  # Other redundant clauses eliminated   : 0
% 0.15/0.41  # Clauses deleted for lack of memory   : 0
% 0.15/0.41  # Backward-subsumed                    : 0
% 0.15/0.41  # Backward-rewritten                   : 0
% 0.15/0.41  # Generated clauses                    : 1
% 0.15/0.41  # ...of the previous two non-redundant : 0
% 0.15/0.41  # ...aggressively subsumed             : 0
% 0.15/0.41  # Contextual simplify-reflections      : 0
% 0.15/0.41  # Paramodulations                      : 1
% 0.15/0.41  # Factorizations                       : 0
% 0.15/0.41  # NegExts                              : 0
% 0.15/0.41  # Equation resolutions                 : 0
% 0.15/0.41  # Disequality decompositions           : 0
% 0.15/0.41  # Total rewrite steps                  : 0
% 0.15/0.41  # ...of those cached                   : 0
% 0.15/0.41  # Propositional unsat checks           : 0
% 0.15/0.41  #    Propositional check models        : 0
% 0.15/0.41  #    Propositional check unsatisfiable : 0
% 0.15/0.41  #    Propositional clauses             : 0
% 0.15/0.41  #    Propositional clauses after purity: 0
% 0.15/0.41  #    Propositional unsat core size     : 0
% 0.15/0.41  #    Propositional preprocessing time  : 0.000
% 0.15/0.41  #    Propositional encoding time       : 0.000
% 0.15/0.41  #    Propositional solver time         : 0.000
% 0.15/0.41  #    Success case prop preproc time    : 0.000
% 0.15/0.41  #    Success case prop encoding time   : 0.000
% 0.15/0.41  #    Success case prop solver time     : 0.000
% 0.15/0.41  # Current number of processed clauses  : 4
% 0.15/0.41  #    Positive orientable unit clauses  : 0
% 0.15/0.41  #    Positive unorientable unit clauses: 0
% 0.15/0.41  #    Negative unit clauses             : 3
% 0.15/0.41  #    Non-unit-clauses                  : 1
% 0.15/0.41  # Current number of unprocessed clauses: 0
% 0.15/0.41  # ...number of literals in the above   : 0
% 0.15/0.41  # Current number of archived formulas  : 0
% 0.15/0.41  # Current number of archived clauses   : 4
% 0.15/0.41  # Clause-clause subsumption calls (NU) : 0
% 0.15/0.41  # Rec. Clause-clause subsumption calls : 0
% 0.15/0.41  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.41  # Unit Clause-clause subsumption calls : 0
% 0.15/0.41  # Rewrite failures with RHS unbound    : 0
% 0.15/0.41  # BW rewrite match attempts            : 0
% 0.15/0.41  # BW rewrite match successes           : 0
% 0.15/0.41  # Condensation attempts                : 0
% 0.15/0.41  # Condensation successes               : 0
% 0.15/0.41  # Termbank termtop insertions          : 200
% 0.15/0.41  # Search garbage collected termcells   : 21
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.003 s
% 0.15/0.41  # System time              : 0.000 s
% 0.15/0.41  # Total time               : 0.003 s
% 0.15/0.41  # Maximum resident set size: 1596 pages
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.003 s
% 0.15/0.41  # System time              : 0.002 s
% 0.15/0.41  # Total time               : 0.005 s
% 0.15/0.41  # Maximum resident set size: 1708 pages
% 0.15/0.41  % E---3.1 exiting
% 0.15/0.41  % E exiting
%------------------------------------------------------------------------------