TSTP Solution File: SYO012^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO012^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 08:44:13 EDT 2024

% Result   : Theorem 0.22s 0.50s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   77 (   0 equ;   0 cnn)
%            Maximal formula atoms :   30 (   5 avg)
%            Number of connectives :   92 (  28   ~;  25   |;  16   &;  21   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    a: $o ).

thf(decl_23,type,
    b: $o ).

thf(decl_24,type,
    p: $o > $o ).

thf(conj,conjecture,
    ( ( p
      @ ( a
        & b ) )
   => ( p
      @ ( b
        & a ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

thf(c_0_1,negated_conjecture,
    ~ ( ( ( ~ ( a
              & b )
          | ( p @ $true ) )
        & ( ( a
            & b )
          | ( p @ $false ) ) )
     => ( ( ~ ( b
              & a )
          | ( p @ $true ) )
        & ( ( b
            & a )
          | ( p @ $false ) ) ) ),
    inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]) ).

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

thf(c_0_3,negated_conjecture,
    ( a
    | ~ ( p @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ( a
    | ( p @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ( b
    | ~ ( p @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ( b
    | ( p @ ~ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    ( ~ b
    | ~ a
    | ~ ( p @ $true ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_8,negated_conjecture,
    a,
    inference(csr,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_9,negated_conjecture,
    b,
    inference(csr,[status(thm)],[c_0_5,c_0_6]) ).

thf(c_0_10,negated_conjecture,
    ( ( p @ $true )
    | ~ a
    | ~ b ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_11,negated_conjecture,
    ~ ( p @ $true ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

thf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_8]),c_0_9])]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYO012^1 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.13/0.37  % Computer : n010.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Mon May 20 08:42:08 EDT 2024
% 0.13/0.38  % CPUTime    : 
% 0.22/0.49  Running higher-order theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --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
% 0.22/0.50  # Version: 3.1.0-ho
% 0.22/0.50  # Preprocessing class: HSSSSLSSSSSNFFN.
% 0.22/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50  # Starting new_ho_10 with 1500s (5) cores
% 0.22/0.50  # Starting ehoh_best8_lambda with 300s (1) cores
% 0.22/0.50  # Starting ho_unfolding_6 with 300s (1) cores
% 0.22/0.50  # Starting sh4l with 300s (1) cores
% 0.22/0.50  # ehoh_best8_lambda with pid 11310 completed with status 0
% 0.22/0.50  # Result found by ehoh_best8_lambda
% 0.22/0.50  # Preprocessing class: HSSSSLSSSSSNFFN.
% 0.22/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50  # Starting new_ho_10 with 1500s (5) cores
% 0.22/0.50  # Starting ehoh_best8_lambda with 300s (1) cores
% 0.22/0.50  # No SInE strategy applied
% 0.22/0.50  # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.22/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50  # Starting new_ho_10 with 181s (1) cores
% 0.22/0.50  # new_ho_10 with pid 11314 completed with status 0
% 0.22/0.50  # Result found by new_ho_10
% 0.22/0.50  # Preprocessing class: HSSSSLSSSSSNFFN.
% 0.22/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50  # Starting new_ho_10 with 1500s (5) cores
% 0.22/0.50  # Starting ehoh_best8_lambda with 300s (1) cores
% 0.22/0.50  # No SInE strategy applied
% 0.22/0.50  # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.22/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50  # Starting new_ho_10 with 181s (1) cores
% 0.22/0.50  # Preprocessing time       : 0.001 s
% 0.22/0.50  # Presaturation interreduction done
% 0.22/0.50  
% 0.22/0.50  # Proof found!
% 0.22/0.50  # SZS status Theorem
% 0.22/0.50  # SZS output start CNFRefutation
% See solution above
% 0.22/0.50  # Parsed axioms                        : 4
% 0.22/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.50  # Initial clauses                      : 12
% 0.22/0.50  # Removed in clause preprocessing      : 5
% 0.22/0.50  # Initial clauses in saturation        : 7
% 0.22/0.50  # Processed clauses                    : 7
% 0.22/0.50  # ...of these trivial                  : 0
% 0.22/0.50  # ...subsumed                          : 0
% 0.22/0.50  # ...remaining for further processing  : 6
% 0.22/0.50  # Other redundant clauses eliminated   : 0
% 0.22/0.50  # Clauses deleted for lack of memory   : 0
% 0.22/0.50  # Backward-subsumed                    : 1
% 0.22/0.50  # Backward-rewritten                   : 2
% 0.22/0.50  # Generated clauses                    : 0
% 0.22/0.50  # ...of the previous two non-redundant : 0
% 0.22/0.50  # ...aggressively subsumed             : 0
% 0.22/0.50  # Contextual simplify-reflections      : 2
% 0.22/0.50  # Paramodulations                      : 0
% 0.22/0.50  # Factorizations                       : 0
% 0.22/0.50  # NegExts                              : 0
% 0.22/0.50  # Equation resolutions                 : 0
% 0.22/0.50  # Disequality decompositions           : 0
% 0.22/0.50  # Total rewrite steps                  : 6
% 0.22/0.50  # ...of those cached                   : 4
% 0.22/0.50  # Propositional unsat checks           : 0
% 0.22/0.50  #    Propositional check models        : 0
% 0.22/0.50  #    Propositional check unsatisfiable : 0
% 0.22/0.50  #    Propositional clauses             : 0
% 0.22/0.50  #    Propositional clauses after purity: 0
% 0.22/0.50  #    Propositional unsat core size     : 0
% 0.22/0.50  #    Propositional preprocessing time  : 0.000
% 0.22/0.50  #    Propositional encoding time       : 0.000
% 0.22/0.50  #    Propositional solver time         : 0.000
% 0.22/0.50  #    Success case prop preproc time    : 0.000
% 0.22/0.50  #    Success case prop encoding time   : 0.000
% 0.22/0.50  #    Success case prop solver time     : 0.000
% 0.22/0.50  # Current number of processed clauses  : 3
% 0.22/0.50  #    Positive orientable unit clauses  : 2
% 0.22/0.50  #    Positive unorientable unit clauses: 0
% 0.22/0.50  #    Negative unit clauses             : 1
% 0.22/0.50  #    Non-unit-clauses                  : 0
% 0.22/0.50  # Current number of unprocessed clauses: 0
% 0.22/0.50  # ...number of literals in the above   : 0
% 0.22/0.50  # Current number of archived formulas  : 0
% 0.22/0.50  # Current number of archived clauses   : 3
% 0.22/0.50  # Clause-clause subsumption calls (NU) : 2
% 0.22/0.50  # Rec. Clause-clause subsumption calls : 2
% 0.22/0.50  # Non-unit clause-clause subsumptions  : 2
% 0.22/0.50  # Unit Clause-clause subsumption calls : 1
% 0.22/0.50  # Rewrite failures with RHS unbound    : 0
% 0.22/0.50  # BW rewrite match attempts            : 2
% 0.22/0.50  # BW rewrite match successes           : 2
% 0.22/0.50  # Condensation attempts                : 7
% 0.22/0.50  # Condensation successes               : 0
% 0.22/0.50  # Termbank termtop insertions          : 449
% 0.22/0.50  # Search garbage collected termcells   : 61
% 0.22/0.50  
% 0.22/0.50  # -------------------------------------------------
% 0.22/0.50  # User time                : 0.002 s
% 0.22/0.50  # System time              : 0.002 s
% 0.22/0.50  # Total time               : 0.004 s
% 0.22/0.50  # Maximum resident set size: 1564 pages
% 0.22/0.50  
% 0.22/0.50  # -------------------------------------------------
% 0.22/0.50  # User time                : 0.004 s
% 0.22/0.50  # System time              : 0.002 s
% 0.22/0.50  # Total time               : 0.006 s
% 0.22/0.50  # Maximum resident set size: 1688 pages
% 0.22/0.50  % E---3.1 exiting
% 0.22/0.50  % E exiting
%------------------------------------------------------------------------------