TSTP Solution File: SYO368_8 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO368_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 08:45:46 EDT 2024

% Result   : Theorem 0.15s 0.40s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   46 (   0 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :   52 (  19   ~;  18   |;  11   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-1 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    b: $o ).

tff(decl_23,type,
    cP: $o > $o ).

tff(decl_24,type,
    a: $o ).

fof(cTRIVEXT1,conjecture,
    ( ( ( a
      <=> b )
      & cP(a) )
   => cP(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT1) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( ( a
        <=> b )
        & ( ~ a
          | cP($true) )
        & ( a
          | cP($false) ) )
     => ( ( ~ b
          | cP($true) )
        & ( b
          | cP($false) ) ) ),
    inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[cTRIVEXT1])]) ).

fof(c_0_2,negated_conjecture,
    ( ( ~ a
      | b )
    & ( ~ b
      | a )
    & ( ~ a
      | cP($true) )
    & ( a
      | cP($false) )
    & ( ~ b
      | b )
    & ( ~ cP($false)
      | b )
    & ( ~ b
      | ~ cP($true) )
    & ( ~ cP($false)
      | ~ cP($true) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3,negated_conjecture,
    ( b
    | ~ cP($false) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( a
    | cP($false) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( a
    | ~ b ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( b
    | ~ a ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    a,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ b
    | ~ cP($true) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    b,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_10,negated_conjecture,
    ( cP($true)
    | ~ a ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ~ cP($true),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_7])]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SYO368_8 : TPTP v8.2.0. Released v8.0.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon May 20 09:35:52 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.15/0.39  Running first-order theorem proving
% 0.15/0.39  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/benchmark/theBenchmark.p
% 0.15/0.40  # Version: 3.1.0
% 0.15/0.40  # Preprocessing class: FSSSSLSSSSSNFFN.
% 0.15/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.15/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.40  # Starting sh5l with 300s (1) cores
% 0.15/0.40  # new_bool_3 with pid 21644 completed with status 0
% 0.15/0.40  # Result found by new_bool_3
% 0.15/0.40  # Preprocessing class: FSSSSLSSSSSNFFN.
% 0.15/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.15/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.40  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.15/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.40  # SAT001_MinMin_p005000_rr_RG with pid 21647 completed with status 0
% 0.15/0.40  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.40  # Preprocessing class: FSSSSLSSSSSNFFN.
% 0.15/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.15/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.40  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.15/0.40  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.40  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.40  # Preprocessing time       : 0.001 s
% 0.15/0.40  # Presaturation interreduction done
% 0.15/0.40  
% 0.15/0.40  # Proof found!
% 0.15/0.40  # SZS status Theorem
% 0.15/0.40  # SZS output start CNFRefutation
% See solution above
% 0.15/0.40  # Parsed axioms                        : 4
% 0.15/0.40  # Removed by relevancy pruning/SinE    : 3
% 0.15/0.40  # Initial clauses                      : 8
% 0.15/0.40  # Removed in clause preprocessing      : 1
% 0.15/0.40  # Initial clauses in saturation        : 7
% 0.15/0.40  # Processed clauses                    : 17
% 0.15/0.40  # ...of these trivial                  : 0
% 0.15/0.40  # ...subsumed                          : 1
% 0.15/0.40  # ...remaining for further processing  : 15
% 0.15/0.40  # Other redundant clauses eliminated   : 0
% 0.15/0.40  # Clauses deleted for lack of memory   : 0
% 0.15/0.40  # Backward-subsumed                    : 1
% 0.15/0.40  # Backward-rewritten                   : 4
% 0.15/0.40  # Generated clauses                    : 2
% 0.15/0.40  # ...of the previous two non-redundant : 3
% 0.15/0.40  # ...aggressively subsumed             : 0
% 0.15/0.40  # Contextual simplify-reflections      : 1
% 0.15/0.40  # Paramodulations                      : 2
% 0.15/0.40  # Factorizations                       : 0
% 0.15/0.40  # NegExts                              : 0
% 0.15/0.40  # Equation resolutions                 : 0
% 0.15/0.40  # Disequality decompositions           : 0
% 0.15/0.40  # Total rewrite steps                  : 5
% 0.15/0.40  # ...of those cached                   : 3
% 0.15/0.40  # Propositional unsat checks           : 0
% 0.15/0.40  #    Propositional check models        : 0
% 0.15/0.40  #    Propositional check unsatisfiable : 0
% 0.15/0.40  #    Propositional clauses             : 0
% 0.15/0.40  #    Propositional clauses after purity: 0
% 0.15/0.40  #    Propositional unsat core size     : 0
% 0.15/0.40  #    Propositional preprocessing time  : 0.000
% 0.15/0.40  #    Propositional encoding time       : 0.000
% 0.15/0.40  #    Propositional solver time         : 0.000
% 0.15/0.40  #    Success case prop preproc time    : 0.000
% 0.15/0.40  #    Success case prop encoding time   : 0.000
% 0.15/0.40  #    Success case prop solver time     : 0.000
% 0.15/0.40  # Current number of processed clauses  : 3
% 0.15/0.40  #    Positive orientable unit clauses  : 2
% 0.15/0.40  #    Positive unorientable unit clauses: 0
% 0.15/0.40  #    Negative unit clauses             : 1
% 0.15/0.40  #    Non-unit-clauses                  : 0
% 0.15/0.40  # Current number of unprocessed clauses: 0
% 0.15/0.40  # ...number of literals in the above   : 0
% 0.15/0.40  # Current number of archived formulas  : 0
% 0.15/0.40  # Current number of archived clauses   : 12
% 0.15/0.40  # Clause-clause subsumption calls (NU) : 1
% 0.15/0.40  # Rec. Clause-clause subsumption calls : 1
% 0.15/0.40  # Non-unit clause-clause subsumptions  : 1
% 0.15/0.40  # Unit Clause-clause subsumption calls : 1
% 0.15/0.40  # Rewrite failures with RHS unbound    : 0
% 0.15/0.40  # BW rewrite match attempts            : 2
% 0.15/0.40  # BW rewrite match successes           : 2
% 0.15/0.40  # Condensation attempts                : 0
% 0.15/0.40  # Condensation successes               : 0
% 0.15/0.40  # Termbank termtop insertions          : 347
% 0.15/0.40  # Search garbage collected termcells   : 75
% 0.15/0.40  
% 0.15/0.40  # -------------------------------------------------
% 0.15/0.40  # User time                : 0.003 s
% 0.15/0.40  # System time              : 0.000 s
% 0.15/0.40  # Total time               : 0.003 s
% 0.15/0.40  # Maximum resident set size: 1584 pages
% 0.15/0.40  
% 0.15/0.40  # -------------------------------------------------
% 0.15/0.40  # User time                : 0.003 s
% 0.15/0.40  # System time              : 0.002 s
% 0.15/0.40  # Total time               : 0.004 s
% 0.15/0.40  # Maximum resident set size: 1684 pages
% 0.15/0.40  % E---3.1 exiting
% 0.15/0.40  % E exiting
%------------------------------------------------------------------------------