TSTP Solution File: SYO087^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO087^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : Tue May 21 08:44:37 EDT 2024

% Result   : Theorem 0.23s 0.53s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   46 (   0 equ;   0 cnn)
%            Maximal formula atoms :   18 (   5 avg)
%            Number of connectives :   62 (  25   ~;  14   |;  19   &;   0   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   4 con; 0-0 aty)
%            Number of variables   :    2 (   0   ^   0   !;   2   ?;   2   :)

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

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

thf(decl_24,type,
    cP: $o ).

thf(cTHM50_13,conjecture,
    ? [X1: $i] :
      ( ( ~ cP
        & ( ( cQ
            & ~ cR )
          | ( ~ cQ
            & cR ) ) )
     => ( ( ( cP
            & cQ )
          | ( ~ cP
            & ~ cQ ) )
       => cR ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM50_13) ).

thf(c_0_1,negated_conjecture,
    ~ ? [X1: $i] :
        ( ( ~ cP
          & ( ( cQ
              & ~ cR )
            | ( ~ cQ
              & cR ) ) )
       => ( ( ( cP
              & cQ )
            | ( ~ cP
              & ~ cQ ) )
         => cR ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM50_13])]) ).

thf(c_0_2,negated_conjecture,
    ( ~ cP
    & ( ~ cQ
      | cQ )
    & ( cR
      | cQ )
    & ( ~ cQ
      | ~ cR )
    & ( cR
      | ~ cR )
    & ( ~ cP
      | cP )
    & ( ~ cQ
      | cP )
    & ( ~ cP
      | cQ )
    & ( ~ cQ
      | cQ )
    & ~ cR ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])])]) ).

thf(c_0_3,negated_conjecture,
    ( cP
    | ~ cQ ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ~ cP,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ( cR
    | cQ ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ~ cR,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    ~ cQ,
    inference(sr,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_8,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYO087^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.15  % Command    : run_E %s %d THM
% 0.16/0.37  % Computer : n005.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 10:00:37 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.23/0.52  Running higher-order theorem proving
% 0.23/0.52  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.23/0.53  # Version: 3.1.0-ho
% 0.23/0.53  # Preprocessing class: HSSSSLSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting new_ho_10 with 1500s (5) cores
% 0.23/0.53  # Starting ehoh_best8_lambda with 300s (1) cores
% 0.23/0.53  # Starting ho_unfolding_6 with 300s (1) cores
% 0.23/0.53  # Starting sh4l with 300s (1) cores
% 0.23/0.53  # new_ho_10 with pid 440 completed with status 0
% 0.23/0.53  # Result found by new_ho_10
% 0.23/0.53  # Preprocessing class: HSSSSLSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting new_ho_10 with 1500s (5) cores
% 0.23/0.53  # No SInE strategy applied
% 0.23/0.53  # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.23/0.53  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.53  # Starting new_ho_10 with 901s (1) cores
% 0.23/0.53  # Starting ehoh_best8_lambda with 151s (1) cores
% 0.23/0.53  # Starting ho_unfolding_6 with 151s (1) cores
% 0.23/0.53  # Starting sh4l with 151s (1) cores
% 0.23/0.53  # Starting ehoh_best_nonlift_rwall with 146s (1) cores
% 0.23/0.53  # ehoh_best8_lambda with pid 447 completed with status 0
% 0.23/0.53  # Result found by ehoh_best8_lambda
% 0.23/0.53  # Preprocessing class: HSSSSLSSSSSNFFN.
% 0.23/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53  # Starting new_ho_10 with 1500s (5) cores
% 0.23/0.53  # No SInE strategy applied
% 0.23/0.53  # Search class: HGHNF-FFSF00-SFFFFFNN
% 0.23/0.53  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.53  # Starting new_ho_10 with 901s (1) cores
% 0.23/0.53  # Starting ehoh_best8_lambda with 151s (1) cores
% 0.23/0.53  # Preprocessing time       : 0.001 s
% 0.23/0.53  # Presaturation interreduction done
% 0.23/0.53  
% 0.23/0.53  # Proof found!
% 0.23/0.53  # SZS status Theorem
% 0.23/0.53  # SZS output start CNFRefutation
% See solution above
% 0.23/0.53  # Parsed axioms                        : 4
% 0.23/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.23/0.53  # Initial clauses                      : 13
% 0.23/0.53  # Removed in clause preprocessing      : 7
% 0.23/0.53  # Initial clauses in saturation        : 6
% 0.23/0.53  # Processed clauses                    : 6
% 0.23/0.53  # ...of these trivial                  : 0
% 0.23/0.53  # ...subsumed                          : 2
% 0.23/0.53  # ...remaining for further processing  : 3
% 0.23/0.53  # Other redundant clauses eliminated   : 0
% 0.23/0.53  # Clauses deleted for lack of memory   : 0
% 0.23/0.53  # Backward-subsumed                    : 0
% 0.23/0.53  # Backward-rewritten                   : 0
% 0.23/0.53  # Generated clauses                    : 0
% 0.23/0.53  # ...of the previous two non-redundant : 0
% 0.23/0.53  # ...aggressively subsumed             : 0
% 0.23/0.53  # Contextual simplify-reflections      : 0
% 0.23/0.53  # Paramodulations                      : 0
% 0.23/0.53  # Factorizations                       : 0
% 0.23/0.53  # NegExts                              : 0
% 0.23/0.53  # Equation resolutions                 : 0
% 0.23/0.53  # Disequality decompositions           : 0
% 0.23/0.53  # Total rewrite steps                  : 0
% 0.23/0.53  # ...of those cached                   : 0
% 0.23/0.53  # Propositional unsat checks           : 0
% 0.23/0.53  #    Propositional check models        : 0
% 0.23/0.53  #    Propositional check unsatisfiable : 0
% 0.23/0.53  #    Propositional clauses             : 0
% 0.23/0.53  #    Propositional clauses after purity: 0
% 0.23/0.53  #    Propositional unsat core size     : 0
% 0.23/0.53  #    Propositional preprocessing time  : 0.000
% 0.23/0.53  #    Propositional encoding time       : 0.000
% 0.23/0.53  #    Propositional solver time         : 0.000
% 0.23/0.53  #    Success case prop preproc time    : 0.000
% 0.23/0.53  #    Success case prop encoding time   : 0.000
% 0.23/0.53  #    Success case prop solver time     : 0.000
% 0.23/0.53  # Current number of processed clauses  : 3
% 0.23/0.53  #    Positive orientable unit clauses  : 0
% 0.23/0.53  #    Positive unorientable unit clauses: 0
% 0.23/0.53  #    Negative unit clauses             : 3
% 0.23/0.53  #    Non-unit-clauses                  : 0
% 0.23/0.53  # Current number of unprocessed clauses: 0
% 0.23/0.53  # ...number of literals in the above   : 0
% 0.23/0.53  # Current number of archived formulas  : 0
% 0.23/0.53  # Current number of archived clauses   : 0
% 0.23/0.53  # Clause-clause subsumption calls (NU) : 0
% 0.23/0.53  # Rec. Clause-clause subsumption calls : 0
% 0.23/0.53  # Non-unit clause-clause subsumptions  : 0
% 0.23/0.53  # Unit Clause-clause subsumption calls : 0
% 0.23/0.53  # Rewrite failures with RHS unbound    : 0
% 0.23/0.53  # BW rewrite match attempts            : 0
% 0.23/0.53  # BW rewrite match successes           : 0
% 0.23/0.53  # Condensation attempts                : 0
% 0.23/0.53  # Condensation successes               : 0
% 0.23/0.53  # Termbank termtop insertions          : 399
% 0.23/0.53  # Search garbage collected termcells   : 59
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.003 s
% 0.23/0.53  # System time              : 0.002 s
% 0.23/0.53  # Total time               : 0.005 s
% 0.23/0.53  # Maximum resident set size: 1708 pages
% 0.23/0.53  
% 0.23/0.53  # -------------------------------------------------
% 0.23/0.53  # User time                : 0.004 s
% 0.23/0.53  # System time              : 0.010 s
% 0.23/0.53  # Total time               : 0.013 s
% 0.23/0.53  # Maximum resident set size: 1692 pages
% 0.23/0.53  % E---3.1 exiting
% 0.23/0.53  % E exiting
%------------------------------------------------------------------------------